Quizbank/University Physics Semester 2/All1

University Physics Semester 2 ALL/ALL ID153489996985

Exams:  A0  A1  A2   B0  B1  B2

Answers:  A0  A1  A2   B0  B1  B2

6 Tests = 3 versions x 2 variations: Each of the 2 variations (A, B, ...) represents a different random selection of questions taken from the |study guide.The 3 versions (0,1,..) all have the same questions but in different order and with different numerical inputs. Unless all students take  version "0" it is best to reserve it for the instructor because the questions are grouped according to the order in which they appear on the study guide.

Links:  Quizbank/Instructions   |Study guide

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ALL A0
1) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=4\times 10^{-7}\text{m}$$. What is the magnitude of the net force on $$q_2$$ if $$q_1=1e$$, $$q_2=-7e$$, and $$q_3=4e$$?


 * a) 9.750E-15 N
 * b) 1.072E-14 N
 * c) 1.180E-14 N
 * d) 1.298E-14 N
 * e) 1.427E-14 N

2) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=2\times 10^{-7}\text{m}$$.what angle does the force on $$q_2$$ make above the $$-x$$ axis if $$q_1=1e$$, $$q_2=-7e$$, and $$q_3=4e$$?


 * a) 4.091E+01 degrees
 * b) 4.500E+01 degrees
 * c) 4.950E+01 degrees
 * d) 5.445E+01 degrees
 * e) 5.990E+01 degrees

3) $$E_z(x=0,z)=\int_{-a}^b f(x,z)dx$$ is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m.  Evaluate $$f(x,y)$$ at x=0.83 m if a=0.7 m, b=1.8 m.  The total charge on the rod is 9 nC.


 * a) 6.897E+00 V/m2
 * b) 7.587E+00 V/m2
 * c) 8.345E+00 V/m2
 * d) 9.180E+00 V/m2
 * e) 1.010E+01 V/m2

4) A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?


 * a) 2.013E+09 N/C2
 * b) 2.214E+09 N/C2
 * c) 2.435E+09 N/C2
 * d) 2.679E+09 N/C2
 * e) 2.947E+09 N/C2

5) $$E(z)=\int_{0}^R f(r',z)dr'$$ is an integral that calculates the magnitude of the electric field at a distance $$z$$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk.  The disk's radius is $$R=8.3\text{ m}$$ and the surface charge density is $$\sigma=5\text{ nC/m}^3$$. Evaluate $$f(r',z)$$ at $$r'=5.3\text{ m}$$.


 * a) 1.022E+00 V/m2
 * b) 1.125E+00 V/m2
 * c) 1.237E+00 V/m2
 * d) 1.361E+00 V/m2
 * e) 1.497E+00 V/m2

6) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?


 * a) 9.546E+01 N/C
 * b) 1.050E+02 N/C
 * c) 1.155E+02 N/C
 * d) 1.271E+02 N/C
 * e) 1.398E+02 N/C

7) What is the magnitude of the electric field at the origin if a 2.7 nC charge is placed at x = 9.1 m, and a 2.5 nC charge is placed at y = 5.9 m?


 * a) 3.99 x 10-1N/C
 * b) 4.6 x 10-1N/C
 * c) 5.32 x 10-1N/C
 * d) 6.14 x 10-1N/C
 * e) 7.09 x 10-1N/C

8) What angle does the electric field at the origin make with the x-axis if a 2.6 nC charge is placed at x = -8.3 m, and a 2.5  nC charge is placed at y = -9.6 m?


 * a) 2.32 x 101degrees
 * b) 2.68 x 101degrees
 * c) 3.09 x 101degrees
 * d) 3.57 x 101degrees
 * e) 4.12 x 101degrees

9) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at  (x,y) =( 5a, 4a) is &beta;kQ/a2, where &beta; equals


 * a) 1.76 x 10-3 unit
 * b) 2.13 x 10-3 unit
 * c) 2.59 x 10-3 unit
 * d) 3.13 x 10-3 unit
 * e) 3.79 x 10-3 unit

10) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at  (x,y) =( 1.1a, 1.2a) is &beta;kQ/a2, where &beta; equals


 * a) 1.95 x 10-1 unit
 * b) 2.36 x 10-1 unit
 * c) 2.86 x 10-1 unit
 * d) 3.47 x 10-1 unit
 * e) 4.2 x 10-1 unit

11) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal B=$$
 * a) 3
 * b) &minus;3
 * c) &minus;3
 * d) 2
 * e) &minus;7

12) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) s&minus;4
 * b) 5
 * c) s&minus;1
 * d) 5&minus;s
 * e) 1&minus;s

13) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal F=$$:
 * a) 3
 * b) 2
 * c) 2/3
 * d) 1/2
 * e) 3/2

14) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 3&minus;s
 * b) 7&minus;s
 * c) s&minus;7
 * d) s&minus;3
 * e) 8

15) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * a) (7-s)2 + 82
 * b) 32 + 82
 * c) 72 + 82
 * d) 72 + (8&minus;s)2
 * e) 72 + (3&minus;s)2

16) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$
 * a) 3
 * b) s&minus;7
 * c) 3&minus;s
 * d) s&minus;3
 * e) 7&minus;s

17) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where$$\mathcal F=$$
 * a) 3/2
 * b) 3
 * c) 1/2
 * d) 2

18) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 2 &minus; s
 * b) s &minus; 9
 * c) 9 &minus; s
 * d) s &minus; 2
 * e) 2

19) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * a) 92 + (2-s)2
 * b) 22 + (9-s)2
 * c) 92 + (7-s)2
 * d) 22 + (7-s)2
 * e) 72 + (2-s)2

20) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal A=$$:
 * a) 8
 * b) 2
 * c) 4
 * d) 1/2

21) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 4
 * b) 8&minus;s
 * c) s&minus;4
 * d) 4&minus;s
 * e) s&minus;8

22) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 4&minus;s
 * b) s&minus;4
 * c) 8&minus;s
 * d) 4
 * e) s&minus;8

23) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 5
 * b) s&minus;1
 * c) 1&minus;s
 * d) 5&minus;s
 * e) s&minus;4

24) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.8 m, z=z0=1.3 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 9.8m2 ,and those in the zx plane have area 7.4m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 46&deg; above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 8.457E+01 N&middot;m2/C
 * b) 9.303E+01 N&middot;m2/C
 * c) 1.023E+02 N&middot;m2/C
 * d) 1.126E+02 N&middot;m2/C
 * e) 1.238E+02 N&middot;m2/C

25) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.8 m, y=y1=5.8 m, z=z0=1.9 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 8.0m2 ,and those in the zx plane have area 8.0m2. An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 39&deg; from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 3.662E+01 N&middot;m2/C
 * b) 4.028E+01 N&middot;m2/C
 * c) 4.430E+01 N&middot;m2/C
 * d) 4.873E+01 N&middot;m2/C
 * e) 5.361E+01 N&middot;m2/C

26) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.6 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.9 m, z=z0=1.9 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 12.0m2 ,and those in the zx plane have area 8.1m2. An electric field has the xyz components (0, 8.1, 6.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 6.529E+01 N&middot;m2/C
 * b) 7.181E+01 N&middot;m2/C
 * c) 7.900E+01 N&middot;m2/C
 * d) 8.690E+01 N&middot;m2/C
 * e) 9.559E+01 N&middot;m2/C

27) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=4), and (x=7, y=4), where x and y are measured in meters. The electric field is, $$\vec E=2y^{2.2}\hat i +3x^{2.1}\hat j +5y^{3.3}\hat k$$


 * a) 2.610E+03 V&middot;m
 * b) 2.871E+03 V&middot;m
 * c) 3.158E+03 V&middot;m
 * d) 3.474E+03 V&middot;m
 * e) 3.822E+03 V&middot;m

28) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 2.0 nano-Coulombs. What is the magnitude of the electric field at a distance of 3.7 m from the center of the shells?


 * a) 2.964E+00 N/C
 * b) 3.260E+00 N/C
 * c) 3.586E+00 N/C
 * d) 3.944E+00 N/C
 * e) 4.339E+00 N/C

29) A non-conducting sphere of radius R=2.9 m has a non-uniform charge density that varies with the distnce from its center as given by &rho;(r)=ar1.5 (r&le;R) where a=3 nC&middot;m-1.5. What is the magnitude of the electric field at a distance of 1.7 m from the center?


 * a) 2.579E+02 N/C
 * b) 2.837E+02 N/C
 * c) 3.121E+02 N/C
 * d) 3.433E+02 N/C
 * e) 3.776E+02 N/C

30) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.14+2.8z)\rho^2\hat\rho +9.94z^2\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{top}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the top surface of the cylinder.


 * a) 2.810E+02
 * b) 3.404E+02
 * c) 4.124E+02
 * d) 4.996E+02
 * e) 6.053E+02

31) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.05+2.05z)\rho^2\hat\rho +9.62z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{side}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the curved side surface of the cylinder.


 * a) 2.318E+02
 * b) 2.808E+02
 * c) 3.402E+02
 * d) 4.122E+02
 * e) 4.994E+02

32) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (1.86+2.43z)\rho^2\hat\rho +9.75z^2\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\oint\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the entire surface of the cylinder.


 * a) 4.63E+02
 * b) 5.61E+02
 * c) 6.80E+02
 * d) 8.23E+02
 * e) 9.98E+02

33) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=   \rho z $$
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) none of these are correct
 * d) $$\varepsilon_0 E = H\rho /2$$
 * e) $$\varepsilon_0 E=  H\rho $$

34) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) $$\varepsilon_0 E = H\rho /2$$
 * b) $$\varepsilon_0 E=   \rho z $$
 * c) $$\varepsilon_0 E=  H\rho z$$
 * d) $$\varepsilon_0 E=  H\rho $$
 * e) none of these are correct

35) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * a) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * b) none of these are correct
 * c) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * d) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * e) $$ r^2\varepsilon_0 E=r^3\rho /2$$

36) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * a) none of these are correct
 * b) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * c) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * d) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * e) $$ r^2\varepsilon_0 E=R^3\rho /3$$

37) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * a) $$2r\varepsilon_0 E = R^2\rho $$
 * b) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * c) $$2\varepsilon_0 E = r\rho $$
 * d) none of these are correct
 * e) $$2R\varepsilon_0 E=  r^2\rho $$

38) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * a) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * b) $$2\varepsilon_0 E = r\rho $$
 * c) $$2R\varepsilon_0 E=  r^2\rho $$
 * d) none of these are correct
 * e) $$2r\varepsilon_0 E = R^2\rho $$

39) A 7 C charge is separated from a 12 C charge by distance of 9 cm.  What is the work done by increasing this separation to 15 cm?


 * a) 2.292E-06 J
 * b) 2.521E-06 J
 * c) 2.773E-06 J
 * d) 3.050E-06 J
 * e) 3.355E-06 J

40) Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 5.650E+01 J
 * b) 6.215E+01 J
 * c) 6.837E+01 J
 * d) 7.520E+01 J
 * e) 8.272E+01 J

41) A 12.0 V battery can move 11,000 C of charge. How many Joules does it deliver?


 * a) 1.200E+05 J
 * b) 1.320E+05 J
 * c) 1.452E+05 J
 * d) 1.597E+05 J
 * e) 1.757E+05 J

42) When a 3.8 V battery operates a 1.67 W bulb, how many electrons pass through it each second?


 * a) 1.873E+18 electrons
 * b) 2.061E+18 electrons
 * c) 2.267E+18 electrons
 * d) 2.494E+18 electrons
 * e) 2.743E+18 electrons

43) Calculate the final speed of a free electron accelerated from rest through a potential difference of 16 V.


 * a) 2.157E+06 m/s
 * b) 2.372E+06 m/s
 * c) 2.610E+06 m/s
 * d) 2.871E+06 m/s
 * e) 3.158E+06 m/s

44) An electron gun has parallel plates separated by 4.25 cm and gives electrons 15 keV of energy. What force would the field between the plates exert on a 0.518 &mu;C charge that gets between the plates?


 * a) 1.374E-01 N
 * b) 1.511E-01 N
 * c) 1.662E-01 N
 * d) 1.828E-01 N
 * e) 2.011E-01 N

45) Assume that a 14 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and  P2 where the polar coordinates (r,&phi;) of  P1 are  (9 cm, 0&deg;) and  P2 is at (15 cm, 22&deg;).


 * a) 5.592E+02 V
 * b) 6.151E+02 V
 * c) 6.767E+02 V
 * d) 7.443E+02 V
 * e) 8.188E+02 V

46) A Van de Graff generator has a 116 cm diameter metal sphere that produces 246 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.193E+01 &mu;C
 * b) 1.312E+01 &mu;C
 * c) 1.443E+01 &mu;C
 * d) 1.588E+01 &mu;C
 * e) 1.746E+01 &mu;C

47) A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.51 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.85 cm, y=1.75 cm)? Note that following the textbook's example, the y-value of the field point at 1.75 cm matches the disance of the positive charge above the x-axis.


 * a) 2.073E+02 V
 * b) 2.281E+02 V
 * c) 2.509E+02 V
 * d) 2.760E+02 V
 * e) 3.035E+02 V

48) If a 21 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=94 V is x2 + y2 + z2 = R2, where R=


 * a) 1.371E+00 m
 * b) 1.509E+00 m
 * c) 1.659E+00 m
 * d) 1.825E+00 m
 * e) 2.008E+00 m

49) Two large parallel conducting plates are separated by 9.58 mm. Equal and opposite surface charges of 7.360E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 84 V?


 * a) 6.644E-01 mm
 * b) 7.641E-01 mm
 * c) 8.787E-01 mm
 * d) 1.011E+00 mm
 * e) 1.162E+00 mm

50) An empty parallel-plate capacitor with metal plates has an area of 2.42 m2, separated by 1.33 mm. How much charge does it store if the voltage is 1.130E+03 V?


 * a) 1.368E+01 &mu;C
 * b) 1.505E+01 &mu;C
 * c) 1.655E+01 &mu;C
 * d) 1.820E+01 &mu;C
 * e) 2.003E+01 &mu;C

51) What is the net capacitance if C1=2.25 &mu;F, C2=4.16 &mu;F, and C3=2.49 &mu;F in the configuration shown?


 * a) 2.698E+00 &mu;F
 * b) 2.968E+00 &mu;F
 * c) 3.265E+00 &mu;F
 * d) 3.591E+00 &mu;F
 * e) 3.950E+00 &mu;F

52) In the figure shown C1=16.9 &mu;F, C2=2.3 &mu;F, and C3=4.67 &mu;F. The voltage source provides &epsilon;=13.4 V. What is the charge on C1?


 * a) 6.011E+01 &mu;C
 * b) 6.613E+01 &mu;C
 * c) 7.274E+01 &mu;C
 * d) 8.001E+01 &mu;C
 * e) 8.801E+01 &mu;C

53) In the figure shown C1=16.7 &mu;F, C2=2.26 &mu;F, and C3=4.53 &mu;F. The voltage source provides &epsilon;=10.7 V. What is the energy stored in C2?


 * a) 1.292E+01 &mu;J
 * b) 1.421E+01 &mu;J
 * c) 1.563E+01 &mu;J
 * d) 1.719E+01 &mu;J
 * e) 1.891E+01 &mu;J

54) A parallel plate capacitor has both plates with an area of 1.05 m2. The separation between the plates is  0.63mm.  Applied to the plates is a potential difference of 4.35 kV.  What is the capacitance?


 * a) 11.16 nF.
 * b) 12.83 nF.
 * c) 14.76 nF.
 * d) 16.97 nF.
 * e) 19.52 nF.

55) The same parallel plate capacitor, with area 0.75 m2, plate separation  0.53mm, and an applied voltage of 3.55 kV.  How much charge is stored?


 * a) 29.25 &mu;C.
 * b) 33.63 &mu;C.
 * c) 38.68 &mu;C.
 * d) 44.48 &mu;C.
 * e) 51.15 &mu;C.

56) A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?


 * a) 3.2 kV/m.
 * b) 3.68 kV/m.
 * c) 4.24 kV/m.
 * d) 4.87 kV/m.
 * e) 5.6 kV/m.

57) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?


 * a) 0.81 J.
 * b) 0.93 J.
 * c) 1.07 J.
 * d) 1.23 J.
 * e) 1.41 J.

58) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the force between the plates if they are 0.6 mm apart?


 * a) 2381 N.
 * b) 2738 N.
 * c) 3149 N.
 * d) 3621 N.
 * e) 4164 N.

59) How fast is a 2928 eV electron moving?


 * a) 6.3 x 106 m/s.
 * b) 9.5 x 106 m/s.
 * c) 1.4 x 107 m/s.
 * d) 2.1 x 107 m/s.
 * e) 3.2 x 107 m/s.

60) A proton is accellerated (at rest) from a plate held at 318.6 volts to a plate at zero volts. What is the final speed?


 * a) 1.6 x 105 m/s.
 * b) 2.5 x 105 m/s.
 * c) 3.7 x 105 m/s.
 * d) 5.6 x 105 m/s.
 * e) 8.3 x 105 m/s.

61) What voltage is required accelerate an electron at rest to a speed of 1.5 x 103 m/s?


 * a) 1.9 x 10-6 volts
 * b) 2.8 x 10-6 volts
 * c) 4.3 x 10-6 volts
 * d) 6.4 x 10-6 volts
 * e) 9.6 x 10-6 volts

62) What voltage is required to stop a proton moving at a speed of 5.2 x 107 m/s?


 * a) 9.4 x 106 volts
 * b) 1.4 x 107 volts
 * c) 2.1 x 107 volts
 * d) 3.2 x 107 volts
 * e) 4.8 x 107 volts

63) What is the average current involved when a truck battery sets in motion 728 C of charge in 3.94 s while starting an engine?


 * a) 1.848E+02 A
 * b) 2.032E+02 A
 * c) 2.236E+02 A
 * d) 2.459E+02 A
 * e) 2.705E+02 A

64) The charge passing a plane intersecting a wire is $$Q_M=\left(1-e^{t/\tau}\right)$$, where $$Q_M$$=52 C  and $$\tau=$$0.018 s. What is the current at $$t=$$0.0207 s?


 * a) 6.872E+02 A
 * b) 7.560E+02 A
 * c) 8.316E+02 A
 * d) 9.147E+02 A
 * e) 1.006E+03 A

65) Calculate the drift speed of electrons in a copper wire with a diameter of 5.46 mm carrying a 5.05 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.


 * a) 1.614E-05 m/s
 * b) 1.776E-05 m/s
 * c) 1.953E-05 m/s
 * d) 2.149E-05 m/s
 * e) 2.363E-05 m/s

66) A make-believe metal has a density of 1.430E+04 kg/m3 and an atomic mass of 37.8 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.


 * a) 1.882E+29 e&minus;/m3
 * b) 2.070E+29 e&minus;/m3
 * c) 2.277E+29 e&minus;/m3
 * d) 2.505E+29 e&minus;/m3
 * e) 2.756E+29 e&minus;/m3

67) A device requires consumes 78 W of power and requires 11.3 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.


 * a) 1.953E+06 A/m2
 * b) 2.148E+06 A/m2
 * c) 2.363E+06 A/m2
 * d) 2.599E+06 A/m2
 * e) 2.859E+06 A/m2

68) Calculate the resistance of a 12-gauge copper wire that is 52 m long and carries a current of 99 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * a) 1.983E-01 &Omega;
 * b) 2.181E-01 &Omega;
 * c) 2.399E-01 &Omega;
 * d) 2.639E-01 &Omega;
 * e) 2.903E-01 &Omega;

69) Calculate the electric field in a 12-gauge copper wire that is 84 m long and carries a current of 48 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * a) 1.664E-04 V/m
 * b) 1.830E-04 V/m
 * c) 2.013E-04 V/m
 * d) 2.215E-04 V/m
 * e) 2.436E-04 V/m

70) Imagine a substance could be made into a very hot filament. Suppose the resitance is 1.98 &Omega; at a temperature of 92&deg;C and that the temperature coefficient of expansion is 5.080E-03 (&deg;C)&minus;1). What is the resistance at a temperature of 455 &deg;C?


 * a) 5.363E+00 &Omega;
 * b) 5.631E+00 &Omega;
 * c) 5.913E+00 &Omega;
 * d) 6.208E+00 &Omega;
 * e) 6.519E+00 &Omega;

71) A DC winch moter draws 23 amps at 196 volts as it lifts a 4.870E+03 N weight at a constant speed of 0.731 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.


 * a) 1.346E+00 &Omega;
 * b) 1.481E+00 &Omega;
 * c) 1.629E+00 &Omega;
 * d) 1.792E+00 &Omega;
 * e) 1.971E+00 &Omega;

72) What is consumer cost to operate one 73&minus;W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.113 per kilowatt-hour?


 * a) $3.312E+01
 * b) $3.643E+01
 * c) $4.007E+01
 * d) $4.408E+01
 * e) $4.849E+01

73) A given battery has a 15 V emf and an internal resistance of 0.0536 &Omega;. If it is connected to a 0.64 &Omega; resistor what is the power dissipated by that load?


 * a) 2.721E+02 W
 * b) 2.993E+02 W
 * c) 3.293E+02 W
 * d) 3.622E+02 W
 * e) 3.984E+02 W

74) A battery with a terminal voltage of 8.41 V is connected to a circuit consisting of 3 16.1 &Omega; resistors and one 10.9 &Omega; resistor. What is the voltage drop across the 10.9 &Omega; resistor?


 * a) 1.058E+00 V
 * b) 1.163E+00 V
 * c) 1.280E+00 V
 * d) 1.408E+00 V
 * e) 1.548E+00 V

75) Three resistors, R1 = 1.31 &Omega;, and R2 = R2 = 2.91 &Omega;, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 2.294E+01 W
 * b) 2.523E+01 W
 * c) 2.776E+01 W
 * d) 3.053E+01 W
 * e) 3.359E+01 W

76) In the circuit shown V=15.4 V, R1=2.77 &Omega;, R2=6.07 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * a) 1.190E+01 W
 * b) 1.309E+01 W
 * c) 1.440E+01 W
 * d) 1.584E+01 W
 * e) 1.742E+01 W

77) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * a) 1.464E-01 A
 * b) 1.610E-01 A
 * c) 1.772E-01 A
 * d) 1.949E-01 A
 * e) 2.144E-01 A

78) Two sources of emf &epsilon;1=44.4 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 6.970E+00 mA
 * b) 7.667E+00 mA
 * c) 8.434E+00 mA
 * d) 9.277E+00 mA
 * e) 1.020E+01 mA

79) Two sources of emf &epsilon;1=49.8 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=2.78 k&Omega; and  R2=2.63 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.51 mA and I4=0.969 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 7.886E+00 V
 * b) 8.675E+00 V
 * c) 9.542E+00 V
 * d) 1.050E+01 V
 * e) 1.155E+01 V

80) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 6.488E+00 V
 * b) 7.137E+00 V
 * c) 7.850E+00 V
 * d) 8.635E+00 V
 * e) 9.499E+00 V

81) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 505 V.  If the combined external and internal resistance is 189 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 374.0 V?


 * a) 1.560E+01 s
 * b) 1.716E+01 s
 * c) 1.887E+01 s
 * d) 2.076E+01 s
 * e) 2.284E+01 s

82) A 5.1 volt battery moves 43 Coulombs of charge in 1.5 hours. What is the power?


 * a) 4.06 x 10-2 W
 * b) 4.92 x 10-2 W
 * c) 5.96 x 10-2 W
 * d) 7.22 x 10-2 W
 * e) 8.75 x 10-2 W

83) The diameter of a copper wire is 3.8 mm, and it carries a current of 88 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m3 and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)


 * a) 2.7 x 10-4m/s
 * b) 3.27 x 10-4m/s
 * c) 3.96 x 10-4m/s
 * d) 4.79 x 10-4m/s
 * e) 5.81 x 10-4m/s

84) A 196 Watt DC motor draws 0.35 amps of current. What is effective resistance?


 * a) 1.6 x 103 &Omega;
 * b) 1.94 x 103 &Omega;
 * c) 2.35 x 103 &Omega;
 * d) 2.85 x 103 &Omega;
 * e) 3.45 x 103 &Omega;

85) A power supply delivers 145 watts of power to a 244 ohm resistor.  What was the applied voltage?


 * a) 1.88 x 102 volts
 * b) 2.28 x 102 volts
 * c) 2.76 x 102 volts
 * d) 3.34 x 102 volts
 * e) 4.05 x 102 volts

86) 3 amps flow through a 1 Ohm resistor. What is the voltage?
 * a) None these are correct.
 * b) $$1V$$
 * c) $$3V$$
 * d) $$\frac{1}{3}V$$

87) A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?
 * a) I = 5A &  P = 25W.
 * b) I = 5A &  P = 3W.
 * c) I = 5A &  P = 5W.
 * d) I = 5A &  P = 9W

88) The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one?
 * a) $$V_{Big-Resistor} = 6.67V$$ and $$V_{small-Resistor} = 3.33V$$.
 * b) None of these are true.
 * c) $$V_{Big-Resistor} = 3.33V$$ and$$V_{small-Resistor} = 6.67V$$.
 * d) $$V_{small-Resistor} = 5V$$ and $$V_{Big-Resistor} = 5V$$.

89) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?
 * a) None of these are true.
 * b) $$R_{Total} = 3\Omega$$.
 * c) $$R_{Total} = 0.5454\Omega$$.
 * d) $$R_{Total} = 6\Omega$$.

90) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?
 * a) $$R_1 = 150V$$ and $$R_2 = 100V$$.
 * b) $$R_1 = 250V$$ and $$R_2 = 0V$$.
 * c) None of these are true.
 * d) $$R_1 = 125V$$ and $$R_2 = 125V$$.

91) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{6}{11}\Omega$$.
 * b) $$\frac{3}{6}\Omega$$.
 * c) $$\frac{6}{3}\Omega$$.
 * d) $$\frac{11}{6}\Omega$$.

92) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{10}{6}\Omega$$.
 * b) $$\frac{7}{10}\Omega$$.
 * c) $$\frac{10}{7}\Omega$$.
 * d) $$\frac{6}{10}\Omega$$.

93) A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{21}{10}\Omega$$.
 * b) $$\frac{7}{11}\Omega$$.
 * c) $$\frac{10}{21}\Omega$$.
 * d) $$\frac{11}{7}\Omega$$.

94) Three 1 ohm resistors are connected in parallel. What is the total resistance?
 * a) $$\frac{3}{2}\Omega$$.
 * b) $$\frac{2}{3}\Omega$$.
 * c) $$ 3\Omega$$.
 * d) $$\frac{1}{3}\Omega$$.

95) If you put an infinite number of resistors in parallel, what would the total resistance be?
 * a) $$R_{total}$$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.
 * b) None of these are true.
 * c) $$R_{total}$$ would approach 1 as The No. of Resistors In parallel Approaches Infinity
 * d) It is not possible to connect that Number of Resistors in parallel.

96) What is the current through R1 and R2 in the figure shown?
 * a) $$I_1 = 0.1A$$ and $$I_2 = 0.1667A$$.
 * b) $$I_1 = 1A$$ and $$I_2 = 1.667A$$.
 * c) $$I_1 = 1A$$ and $$I_2 = 25A$$.
 * d) $$I_1 = 10A$$ and $$I_2 = 16.67A$$.

97) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?
 * a) The other point could be Negative or positive.
 * b) It's an Electrical Cliche.
 * c) None these are correct
 * d) Voltage is a measure of Electric Potential difference between two electrical points.

98) What is the current through R1, R2, R3, and R4 in the figure shown?
 * a) $$I_1 = 10A$$; $$I_2 = 50A$$; $$I_3 = 33A$$; $$I_4 = 25A$$..
 * b) $$I_1 = 1A$$; $$I_2 = 0.5A$$; $$I_3 = 0.33A$$; $$I_4 = 0.25A$$.
 * c) $$I_1 = 0.25A$$; $$I_2 = 0.33A$$; $$I_3 = 0.5A$$; $$I_4 = 0.1A$$.
 * d) $$I_1 = 1A$$; $$I_2 = 5A$$; $$I_3 = 3.3A$$; $$I_4 = 2.5A$$.

99) Two resistors are in parallel with a voltage source. How do their voltages compare?
 * a) None of these are true.
 * b) One has full voltage, the other has none.
 * c) The voltage across both resistors is the same as the source.
 * d) The voltage across both resistors is half the voltage of the source.

100) A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?
 * a) 10V.
 * b) 15V.
 * c) 0.5V.
 * d) 2V.

101) A resistor has 10 volts across it and 4 amps going through it. What is its resistance?
 * a) $$2.5\Omega.$$
 * b) $$3.5\Omega.$$
 * c) None of these are true.
 * d) $$4.5\Omega.$$

102) If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope?
 * a) Discriminant.
 * b) None of these are true.
 * c) Resistance.
 * d) Power.

103) A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?
 * a) 1.5A
 * b) 2A
 * c) 12A
 * d) 3A

104) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?
 * a) 8W
 * b) 3W
 * c) 24W
 * d) 2.2W

105) A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed?
 * a) 11.67 Joules
 * b) 2.5 Watts
 * c) 1.67 Watts
 * d) None of these are ture.

106) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?
 * a) 25 Joules
 * b) 3 Joules
 * c) 5 Joules
 * d) None of these are true

107) An ideal 3.1 V voltage source is connected to two resistors in parallel.  One is 1.5$$k\Omega$$, and the other is 2.2 $$k\Omega$$.  What is the current through the larger resistor?


 * a) 0.55 mA.
 * b) 0.63 mA.
 * c) 0.73 mA.
 * d) 0.84 mA.
 * e) 0.96 mA.

108) A 8.1 ohm resistor is connected in series to a pair of 5.2 ohm resistors that are in parallel.  What is the net resistance?


 * a) 6.1 ohms.
 * b) 7 ohms.
 * c) 8.1 ohms.
 * d) 9.3 ohms.
 * e) 10.7 ohms.

109) Two 9.4 ohm resistors are connected in parallel.  This combination is then connected in series to a 2.4 ohm resistor.  What is the net resistance?


 * a) 5.4 ohms.
 * b) 6.2 ohms.
 * c) 7.1 ohms.
 * d) 8.2 ohms.
 * e) 9.4 ohms.

110) An ideal 7.8 volt battery is connected to a 0.064 ohm resistor.  To measure the current an ammeter with a resistance of 17$$m\Omega$$ is used.  What current does the ammeter actually read?


 * a) 63.3 A.
 * b) 72.8 A.
 * c) 83.7 A.
 * d) 96.3 A.
 * e) 110.7 A.

111) A battery has an emf of 5.3 volts, and an internal resistance of 428 $$k\Omega$$. It is connected to a 2.3 $$M\Omega$$ resistor.  What power is developed in the 2.3  $$M\Omega$$ resistor?


 * a) 4.96 $$\mu$$W.
 * b) 5.71 $$\mu$$W.
 * c) 6.56 $$\mu$$W.
 * d) 7.55 $$\mu$$W.
 * e) 8.68 $$\mu$$W.

112) An alpha-particle (q=3.2x10&minus;19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the  x-component of the force on the alpha-particle if it is moving with a velocity (5.64 i + 1.93 j  + 8.71 k) x 104 m/s?


 * a) 1.757E-14 N
 * b) 1.933E-14 N
 * c) 2.126E-14 N
 * d) 2.339E-14 N
 * e) 2.573E-14 N

113) A charged particle in a magnetic field of 4.090E-04 T is moving perpendicular to the magnetic field with a speed of 5.980E+05 m/s. What is the period of orbit if orbital radius is 0.633 m?


 * a) 4.543E-06 s
 * b) 4.997E-06 s
 * c) 5.497E-06 s
 * d) 6.046E-06 s
 * e) 6.651E-06 s

114) An alpha-particle (m=6.64x10&minus;27kg, q=3.2x10&minus;19C) briefly enters a uniform magnetic field of magnitude 0.0263 T . It emerges after being deflected by 65&deg; from its original direction. How much time did it spend in that magnetic field?


 * a) 8.137E-07 s
 * b) 8.951E-07 s
 * c) 9.846E-07 s
 * d) 1.083E-06 s
 * e) 1.191E-06 s

115) A 42 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.48 T. What current is required to maintain this balance?


 * a) 2.812E-01 A
 * b) 3.093E-01 A
 * c) 3.403E-01 A
 * d) 3.743E-01 A
 * e) 4.117E-01 A

116) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.379 T magnetic field is directed 53&deg; away from the wire?


 * a) 1.001E+00 N/m
 * b) 1.101E+00 N/m
 * c) 1.211E+00 N/m
 * d) 1.332E+00 N/m
 * e) 1.465E+00 N/m

117) A circular current loop of radius 1.94 cm carries a current of 1.83 mA. What is the magnitude of the torque if the dipole is oriented at 43 &deg; to a uniform magnetic fied of 0.156 T?


 * a) 1.903E-07 N m
 * b) 2.093E-07 N m
 * c) 2.302E-07 N m
 * d) 2.532E-07 N m
 * e) 2.785E-07 N m

118) An electron beam (m=9.1 x 10&minus;31kg, q=1.6 x 10&minus;19C) enters a crossed-field velocity selector with magnetic and electric fields of 1.85 mT and 5.080E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?


 * a) 2.746E+06 m/s
 * b) 3.021E+06 m/s
 * c) 3.323E+06 m/s
 * d) 3.655E+06 m/s
 * e) 4.020E+06 m/s

119) The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T.  Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.


 * a) 1.560E-06 V
 * b) 1.716E-06 V
 * c) 1.888E-06 V
 * d) 2.077E-06 V
 * e) 2.284E-06 V

120) A cyclotron used to accelerate alpha particlesm=6.64 x 10&minus;27kg, q=3.2 x 10&minus;19C) has a radius of 0.448 m and a magneticfield of 0.812 T. What is their maximum kinetic energy?


 * a) 5.798E+00 MeV
 * b) 6.377E+00 MeV
 * c) 7.015E+00 MeV
 * d) 7.717E+00 MeV
 * e) 8.488E+00 MeV

121) A wire carries a current of 106 A in a circular arc with radius 1.32 cm swept through 38 degrees. Assuming that the rest of the current is 100% shielded by  mu-metal, what is the magnetic field at the center of the arc?


 * a) 1.589E+00 Tesla
 * b) 1.748E+00 Tesla
 * c) 1.923E+00 Tesla
 * d) 2.116E+00 Tesla
 * e) 2.327E+00 Tesla

122) Three wires sit at the corners of a square of length 0.774 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.57 A, 2.03 A, 2.08 A), respectively. What is the x-component of the magnetic field at point P?


 * a) Bx= 7.270E-05 T
 * b) Bx= 7.997E-05 T
 * c) Bx= 8.797E-05 T
 * d) Bx= 9.677E-05 T
 * e) Bx= 1.064E-04 T

123) Three wires sit at the corners of a square of length 0.495 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (2.45 A, 1.66 A, 1.63 A), respectively. What is the y-component of the magnetic field at point P?


 * a) By= 1.205E-04 T
 * b) By= 1.325E-04 T
 * c) By= 1.458E-04 T
 * d) By= 1.604E-04 T
 * e) By= 1.764E-04 T

124) Two parallel wires each carry a 7.48 mA current and are oriented in the z direction. The first wire is located in the x-y   plane at (3.13 cm, 0.955 cm), while the other is located at (5.37 cm, 5.48 cm). What is the force per unit length between the wires?


 * a) 2.015E-10 N/m
 * b) 2.216E-10 N/m
 * c) 2.438E-10 N/m
 * d) 2.682E-10 N/m
 * e) 2.950E-10 N/m

125) Two loops of wire carry the same current of 66 kA, and flow in the same direction. They share a common axis and orientation.  One loop has a radius of 0.485 m while the other has a radius of 1.27 m.  What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.507 m from the first (smaller) loopif the disance between the loops is 1.76 m?


 * a) 2.733E-02 T
 * b) 3.007E-02 T
 * c) 3.307E-02 T
 * d) 3.638E-02 T
 * e) 4.002E-02 T

126) Under most conditions the current is distributed uniformly over the cross section of the wire.  What is the magnetic field 1.14 mm from the center of a wire of radius 3 mm if the current is 1A?


 * a) 2.533E-05 T
 * b) 2.787E-05 T
 * c) 3.065E-05 T
 * d) 3.372E-05 T
 * e) 3.709E-05 T

127) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for $$r<a$$ is, $$B_\theta (r)=\left( \frac{2r}{a} - \frac{r^2}{a^2}\right)B_{max}$$, where $$B_{max}$$ is the maximum magnetic field (at $$r=a$$).  If $$a=$$ 0.645 m and $$B_{max}=\,$$ 0.469 T, then how much current (in the z-direction) flows through a circle of radius $$r=$$ 0.26 m that is centered on the axis with its plane perpendicular to the axis?


 * a) 2.949E+05 A
 * b) 3.244E+05 A
 * c) 3.568E+05 A
 * d) 3.925E+05 A
 * e) 4.317E+05 A

128) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.32 kA, I2=2.0 kA, and I3=3.66 kA, take the $$\beta$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * a) 1.724E-03 T-m
 * b) 1.896E-03 T-m
 * c) 2.086E-03 T-m
 * d) 2.295E-03 T-m
 * e) 2.524E-03 T-m

129) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.38 kA, I2=0.839 kA, and I3=2.27 kA, take the $$\omega$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * a) 4.354E-03 T-m
 * b) 4.789E-03 T-m
 * c) 5.268E-03 T-m
 * d) 5.795E-03 T-m
 * e) 6.374E-03 T-m

130) A solenoid has 9.350E+04 turns wound around a cylinder of diameter 1.85 cm and length 18 m. The current through the coils is 0.872 A.  Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $$\int\vec B\cdot\vec\ell$$ alongthe axis from z=&minus;4.55 cm to z=+1.58 cm


 * a) 2.383E-04 T-m
 * b) 2.621E-04 T-m
 * c) 2.884E-04 T-m
 * d) 3.172E-04 T-m
 * e) 3.489E-04 T-m

131) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 18 turns per centimeter and the current applied to the solenoid is 582 mA, the net magnetic field is measured to be 1.15 T. What is the magnetic susceptibility for this case?


 * a) $$\chi \text{ (chi) }=$$ 7.211E+02
 * b) $$\chi \text{ (chi) }=$$ 7.932E+02
 * c) $$\chi \text{ (chi) }=$$ 8.726E+02
 * d) $$\chi \text{ (chi) }=$$ 9.598E+02
 * e) $$\chi \text{ (chi) }=$$ 1.056E+03

132) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 &mu;T. The kinetic energy is 437 keV.  What is the radius of particle's orbit?


 * a) 1.3 x 102 m.
 * b) 4.1 x 102 m.
 * c) 1.3 x 103 m.
 * d) 4.1 x 103 m.
 * e) 1.3 x 104 m.

133) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?


 * a) 2.36 x 10-3 newtons
 * b) 7.47 x 10-3 newtons
 * c) 2.36 x 10-2 newtons
 * d) 7.47 x 10-2 newtons
 * e) 2.36 x 10-1 newtons

134) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm.  What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?


 * a) 5.14 x 10-5 Volts
 * b) 1.62 x 10-4 Volts
 * c) 5.14 x 10-4 Volts
 * d) 1.62 x 10-3 Volts
 * e) 5.14 x 10-3 Volts

135) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal.  To counter the magnetic force, a voltage is applied between two large parallel plates that are 59  mm apart.  What must be the applied voltage if the magnetic field is 45&mu;T?


 * a) 1.1 x 100 volts
 * b) 3.6 x 100 volts
 * c) 1.1 x 101 volts
 * d) 3.6 x 101 volts
 * e) 1.1 x 102 volts

136) Amphere's law for magnetostatic currents is that $$\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$$ equals the current enclosed by the closed loop, and $$B=\mu_0H$$ is the magnetic field. A current of 5.8A flows upward along the z axis. Noting that for this geometry, $$\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$$, calculate the line integral $$\oint d\ell$$ for a circle of radius 6.1m.


 * a) 3.83E+01 m
 * b) 4.20E+01 m
 * c) 4.61E+01 m
 * d) 5.05E+01 m
 * e) 5.54E+01 m

137) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H$$ at a distance of 4.2m from a wire carrying a current of 7.9A?


 * a) 2.73E-01 A/m
 * b) 2.99E-01 A/m
 * c) 3.28E-01 A/m
 * d) 3.60E-01 A/m
 * e) 3.95E-01 A/m

138) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H_y$$ at the point (9.3623,2.8961) if a current of 6.9A flows through a wire that runs along the z axis?


 * a) 8.90E-02 A/m
 * b) 9.76E-02 A/m
 * c) 1.07E-01 A/m
 * d) 1.17E-01 A/m
 * e) 1.29E-01 A/m

139) A very long and thin solenoid has 2647 turns and is 180 meters long. The wire carrys a current of 9.3A. What is the magnetic field in the center?


 * a) 1.72E-04 Tesla
 * b) 1.88E-04 Tesla
 * c) 2.07E-04 Tesla
 * d) 2.27E-04 Tesla
 * e) 2.48E-04 Tesla

140) A very long and thin solenoid has 2763 turns and is 134 meters long. The wire carrys a current of 7.7A. If this solenoid is sufficiently thin, what is the line integral of$$\int \vec H\cdot\vec{d\ell}$$ along an on-axis path that starts 34 meters from the center and stops 86 meters from the center?


 * a) 3.97E+03 A
 * b) 4.36E+03 A
 * c) 4.78E+03 A
 * d) 5.24E+03 A
 * e) 5.74E+03 A

141) What is the sum of 0.8 apples plus 18 apples?


 * a) 1.56E+01 apples
 * b) 1.71E+01 apples
 * c) 1.88E+01 apples
 * d) 2.06E+01 apples
 * e) 2.26E+01 apples

142) H is defined by, B=&mu;0H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,4.1) to the point (4.1,0).


 * a) 1.28E+01 amps
 * b) 1.40E+01 amps
 * c) 1.54E+01 amps
 * d) 1.69E+01 amps
 * e) 1.85E+01 amps

143) H is defined by, B=&mu;0H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point ( - 6.4, 6.4) to the point (6.4, 6.4).


 * a) 1.28E+01 amps
 * b) 1.40E+01 amps
 * c) 1.54E+01 amps
 * d) 1.69E+01 amps
 * e) 1.85E+01 amps

144) H is defined by, B=&mu;0H, where B is magnetic field. A current of 38A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,6.7) to the point (6.7,6.7).


 * a) 4.33E+00 amps
 * b) 4.75E+00 amps
 * c) 5.21E+00 amps
 * d) 5.71E+00 amps
 * e) 6.26E+00 amps

145) H is defined by, B=&mu;0H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from  ( -&infin; ,9.4) to (+ &infin; ,9.4).


 * a) 3.25E+01 amps
 * b) 3.57E+01 amps
 * c) 3.91E+01 amps
 * d) 4.29E+01 amps
 * e) 4.70E+01 amps

146) A square coil has sides that are L= 0.259 m long and is tightly wound with N=628 turns of wire. The resistance of the coil is R=6.51 &Omega;. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0372 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?


 * a) 1.809E-01 A
 * b) 1.989E-01 A
 * c) 2.188E-01 A
 * d) 2.407E-01 A
 * e) 2.648E-01 A

147) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.549 m. The magnetic field is spatially uniform but decays in time according to $$(2.97)e^{-\alpha t}$$, where $$\alpha=$$7.0 s. What is the current in the coil if the impedance of the coil is 46.7 &Omega;?


 * a) 2.032E-01 A
 * b) 2.235E-01 A
 * c) 2.458E-01 A
 * d) 2.704E-01 A
 * e) 2.975E-01 A

148) The current through the windings of a solenoid with n= 2.060E+03 turns per meter is changing at a rate dI/dt=12 A/s. The solenoid is 68 cm long and has a cross-sectional diameter of 2.96 cm.  A small coil consisting of N=29turns wraped in a circle of diameter 1.74 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil.  What is the emf induced in the coil?


 * a) 1.463E-04 V
 * b) 1.609E-04 V
 * c) 1.770E-04 V
 * d) 1.947E-04 V
 * e) 2.142E-04 V

149) Calculate the motional emf induced along a 24.4 km conductor moving at an orbital speed of 7.79 km/s perpendicular to Earth's 4.790E-05 Tesla magnetic field.


 * a) 6.840E+03 V
 * b) 7.524E+03 V
 * c) 8.277E+03 V
 * d) 9.105E+03 V
 * e) 1.002E+04 V

150) A cylinder of height 1.69 cm and radius 4.56 cm is cut into a wedge as shown. Now imagine that the volume grows as &theta; increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 2.33 cm from point O and moves at a speed of 4.9 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.) --(Answer & Why this question is different.)


 * a) 3.054E+01 cm3/s
 * b) 3.359E+01 cm3/s
 * c) 3.695E+01 cm3/s
 * d) 4.065E+01 cm3/s
 * e) 4.471E+01 cm3/s

151) A recangular coil with an area of 0.446 m2 and 13 turns is placed in a uniform magnetic field of 3.17 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 5.060E+03 s&minus;1.  What is the magnitude (absolute value) of the induced emf at t = 54 s?


 * a) 1.957E+03 V
 * b) 2.153E+03 V
 * c) 2.368E+03 V
 * d) 2.605E+03 V
 * e) 2.865E+03 V

152) A spatially uniform magnetic points in the z-direction and oscilates with time as $$\vec B(t) = B_0\sin\omega t $$ where $$B_0=$$3.11 T and $$\omega=$$1.150E+03 s&minus;1. Suppose the electric field is always zero at point $$\mathcal O$$, and consider a circle of radius 0.171 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral $$\oint \vec B\cdot d\vec s$$ around the circle.


 * a) 2.887E+03 V
 * b) 3.176E+03 V
 * c) 3.493E+03 V
 * d) 3.843E+03 V
 * e) 4.227E+03 V

153) A long solenoid has a radius of 0.806 m and 41 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$2 A and $$\alpha=$$21 s&minus;1.What is the induced electric fied at a distance 2.67 m from the axis at time t=0.0701 s ?


 * a) 6.040E-05 V/m
 * b) 6.644E-05 V/m
 * c) 7.309E-05 V/m
 * d) 8.039E-05 V/m
 * e) 8.843E-05 V/m

154) A long solenoid has a radius of 0.447 m and 85 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$7 A and $$\alpha=$$23 s&minus;1.What is the induced electric fied at a distance 0.212 m from the axis at time t=0.0819 s ?


 * a) 1.893E-04 V/m
 * b) 2.082E-04 V/m
 * c) 2.290E-04 V/m
 * d) 2.519E-04 V/m
 * e) 2.771E-04 V/m

155) A long solenoid has a length 0.841 meters, radius 3.81 cm, and 516 turns. It surrounds  coil of radius 9.2 meters and 11turns.  If the current in the solenoid is changing at a rate of 190 A/s, what is the emf induced in the surounding coil?


 * a) 1.735E-02 V
 * b) 1.908E-02 V
 * c) 2.099E-02 V
 * d) 2.309E-02 V
 * e) 2.540E-02 V

156) An induced emf of 1.7V is measured across a coil of 81 closely wound turns while the current throuth it increases uniformly from 0.0 to 7.07A in 0.174s. What is the self-inductance of the coil?


 * a) 3.458E-02 H
 * b) 3.804E-02 H
 * c) 4.184E-02 H
 * d) 4.602E-02 H
 * e) 5.062E-02 H

157) A washer has an inner diameter of 2.42 cm and an outer diamter of 4.53 cm. The thickness is $$h=Cr^{-n}$$ where $$r$$ is measured in cm, $$C=4.47mm$$, and $$n=2.8$$. What is the volume of the washer?


 * a) 8.932E-01 cm3
 * b) 9.825E-01 cm3
 * c) 1.081E+00 cm3
 * d) 1.189E+00 cm3
 * e) 1.308E+00 cm3

158) Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =6.88 s if &epsilon; = 2.58 V, R = 5.69 &Omega;, and L = 6.94 H?


 * a) 4.518E-01 V
 * b) 5.422E-01 V
 * c) 6.506E-01 V
 * d) 7.807E-01 V
 * e) 9.369E-01 V

159) Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is  opened as as S2 is closed.  How long will it take for the energy stored in the inductor to be reduced to 1.53% of its maximum value if &epsilon; = 6.08 V, R = 1.88 &Omega;, and L = 4.67 H?


 * a) -5.192E+00 s
 * b) -5.711E+00 s
 * c) -6.282E+00 s
 * d) -6.910E+00 s
 * e) -7.601E+00 s

160) In an LC circuit, the self-inductance is 0.0815 H and the capacitance is 6.520E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 8.410E-05 C. How long does it take for the capacitor to become completely discharged?


 * a) 7.821E-04 s
 * b) 8.603E-04 s
 * c) 9.463E-04 s
 * d) 1.041E-03 s
 * e) 1.145E-03 s

161) An ac generator produces an emf of amplitude 46 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a  63 mF inductor?


 * a) 4.961E-01 A
 * b) 5.457E-01 A
 * c) 6.002E-01 A
 * d) 6.603E-01 A
 * e) 7.263E-01 A

162) An ac generator produces an emf of amplitude 8 V at a frequency of 85 Hz. What is the maximum amplitude of the current if the generator is connected to a  16 mF capacitor?


 * a) 4.669E-02 A
 * b) 5.136E-02 A
 * c) 5.650E-02 A
 * d) 6.215E-02 A
 * e) 6.836E-02 A

163) The output of an ac generator connected to an RLC series combination has a frequency of 370 Hz and an amplitude of 0.14 V;. If R =3 &Omega;, L= 5.30E-03H, and C=5.50E-04 F, what is the impedance?


 * a) 8.958E+00 &Omega;
 * b) 9.854E+00 &Omega;
 * c) 1.084E+01 &Omega;
 * d) 1.192E+01 &Omega;
 * e) 1.312E+01 &Omega;

164) The output of an ac generator connected to an RLC series combination has a frequency of 890 Hz and an amplitude of 0.58 V;. If R =9 &Omega;, L= 2.90E-03H, and C=8.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?


 * a) 7.952E-01 &rad;
 * b) 8.747E-01 &rad;
 * c) 9.622E-01 &rad;
 * d) 1.058E+00 &rad;
 * e) 1.164E+00 &rad;

165) The output of an ac generator connected to an RLC series combination has a frequency of 2.30E+04 Hz and an amplitude of 7 V. If R =3 &Omega;, L= 4.10E-03H, and C=8.70E-06 F, what is the rms power transferred to the resistor?


 * a) 8.369E-03 Watts
 * b) 9.206E-03 Watts
 * c) 1.013E-02 Watts
 * d) 1.114E-02 Watts
 * e) 1.225E-02 Watts

166) An RLC series combination is driven with an applied voltage of of V=V0sin(&omega;t), where V0=0.83 V. The resistance, inductance, and capacitance are R =9 &Omega;, L= 8.50E-03H, and C=7.20E-04 F, respectively. What is the amplitude of the current?


 * a) 8.384E-02 A
 * b) 9.222E-02 A
 * c) 1.014E-01 A
 * d) 1.116E-01 A
 * e) 1.227E-01 A

167) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC and only twoimpedances are involved,  Q=&equiv;&omega;0L/R is definedso that Q is large if the resistance is low.  Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V0sin(&omega;t), where V0=3 V. The resistance, inductance, and capacitance are R =0.22 &Omega;, L= 5.10E-03H, and C=2.50E-06 F, respectively.


 * a) Q = 2.053E+02
 * b) Q = 2.361E+02
 * c) Q = 2.715E+02
 * d) Q = 3.122E+02
 * e) Q = 3.591E+02

168) A step-down transformer steps 7 kV down to 190 V. The high-voltage input is provided by a 240 &Omega; power line that carries 5 A of currentWhat is the output current (at the 190 V side ?)


 * a) 1.675E+02 A
 * b) 1.842E+02 A
 * c) 2.026E+02 A
 * d) 2.229E+02 A
 * e) 2.452E+02 A

169) Two orbiting satellites are orbiting at a speed of 66 km/s perpendicular to a magnetic field of 64 &mu;T. They are connected by a cable that is 37 km long.  A voltmeter is attached between a satellite and one end of the cable.  The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit.  What is the measured voltage?


 * a) 1.29 x 105 volts.
 * b) 1.56 x 105 volts.
 * c) 1.89 x 105 volts.
 * d) 2.29 x 105 volts.
 * e) 2.78 x 105 volts.

170) An loop of wire with 43 turns has a radius of 0.27 meters, and is oriented with its axis parallel to a magetic field of 0.68 Tesla. What is the induced voltage if this field is reduced to  36% of its original value in 3.8 seconds?


 * a) 6.34 x 10-1 volts
 * b) 7.68 x 10-1 volts
 * c) 9.31 x 10-1 volts
 * d) 1.13 x 100 volts
 * e) 1.37 x 100 volts

171) A 819 mF capacitor is connected in series to a 798 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 8.27 x 105 s.
 * b) 2.61 x 106 s.
 * c) 8.27 x 106 s.
 * d) 2.61 x 107 s.
 * e) 8.27 x 107 s.

172) A 65 &mu;F capacitor is connected in series to a 414 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 1.08 x 101 s.
 * b) 3.4 x 101 s.
 * c) 1.08 x 102 s.
 * d) 3.4 x 102 s.
 * e) 1.08 x 103 s.

173) A 727 mF capacitor is connected in series to a 860 M&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)


 * a) 1.88 x 109 s.
 * b) 5.93 x 109 s.
 * c) 1.88 x 1010 s.
 * d) 5.93 x 1010 s.
 * e) 1.88 x 1011 s.

174) A 10 F capacitor is connected in series to a 10&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 4 x 100 s.
 * b) 1.26 x 101 s.
 * c) 4 x 101 s.
 * d) 1.26 x 102 s.
 * e) 4 x 102 s.

175) A parallel plate capacitor with a capicatnce C=9.10E-06 F whose plates have an area A=8.50E+03 m2 and separation d=8.30E-03 m is connected via a swith to a 67 &Omega; resistor and a battery of voltage V0=8 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.40E-03?


 * a) 5.946E+00 V
 * b) 6.541E+00 V
 * c) 7.195E+00 V
 * d) 7.914E+00 V
 * e) 8.706E+00 V

176) A parallel plate capacitor with a capicatnce C=7.90E-06 F whose plates have an area A=6.10E+03 m2 and separation d=6.80E-03 m is connected via a swith to a 22 &Omega; resistor and a battery of voltage V0=6 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=5.20E-04?


 * a) 7.619E+02 V/m
 * b) 8.381E+02 V/m
 * c) 9.219E+02 V/m
 * d) 1.014E+03 V/m
 * e) 1.115E+03 V/m

177) A parallel plate capacitor with a capicatnce C=6.80E-06 F whose plates have an area A=6.60E+03 m2 and separation d=8.60E-03 m is connected via a swith to a 62 &Omega; resistor and a battery of voltage V0=36 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.60E-04?


 * a) 8.288E-02 A
 * b) 9.117E-02 A
 * c) 1.003E-01 A
 * d) 1.103E-01 A
 * e) 1.213E-01 A

178) A 46 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 78 kW?


 * a) 1.563E+02 km
 * b) 1.719E+02 km
 * c) 1.891E+02 km
 * d) 2.080E+02 km
 * e) 2.288E+02 km

179) What is the radiation pressure on an object that is 1.20E+11 m away from the sun and has cross-sectional area of 0.082 m2? The average power output of the Sun is 3.80E+26 W.


 * a) 9.568E-06 N/m2
 * b) 1.053E-05 N/m2
 * c) 1.158E-05 N/m2
 * d) 1.274E-05 N/m2
 * e) 1.401E-05 N/m2

180) What is the radiation force on an object that is 2.00E+11 m away from the sun and has cross-sectional area of 0.053 m2? The average power output of the Sun is 3.80E+26 W.


 * a) 2.673E-07 N
 * b) 2.940E-07 N
 * c) 3.234E-07 N
 * d) 3.558E-07 N
 * e) 3.913E-07 N

181) A circlular capactitor of radius 3.9 m has a gap of 19 mm, and a charge of 66 &mu;C.  What is the electric field between the plates?


 * a) 1.29E+05 N/C (or V/m)
 * b) 1.56E+05 N/C (or V/m)
 * c) 1.89E+05 N/C (or V/m)
 * d) 2.29E+05 N/C (or V/m)
 * e) 2.77E+05 N/C (or V/m)

182) A circlular capactitor of radius 4.3 m has a gap of 12 mm, and a charge of 85 &mu;C.  Compute the surface integral  $$c^{-2}\oint\vec E\cdot d\vec A$$ over an inner face of the capacitor.


 * a) 7.28E-11 Vs2m-1
 * b) 8.82E-11 Vs2m-1
 * c) 1.07E-10 Vs2m-1
 * d) 1.29E-10 Vs2m-1
 * e) 1.57E-10 Vs2m-1

183) A circlular capactitor of radius 4.3 m has a gap of 13 mm, and a charge of 44 &mu;C.  The capacitor is discharged through a  9 k&Omega; resistor.  What is the decay time?


 * a) 2.00E-04 s
 * b) 2.43E-04 s
 * c) 2.94E-04 s
 * d) 3.56E-04 s
 * e) 4.31E-04 s

184) A circlular capactitor of radius 4.6 m has a gap of 12 mm, and a charge of 52 &mu;C.  The capacitor is discharged through a  7 k&Omega; resistor.  What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)


 * a) 3.30E-09 Tesla
 * b) 4.15E-09 Tesla
 * c) 5.23E-09 Tesla
 * d) 6.58E-09 Tesla
 * e) 8.29E-09 Tesla

185) Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * a) how a nearsighted person might see a distant object
 * b) how a farsighted person might see an object that is too close for comfort
 * c) how a farsighted person might see a distant object
 * d) how a nearsighted person might see an object that is too close for comfort

186)  Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * a) how a nearsighted person might see a distant object
 * b) how a nearsighted person might see an object that is too close for comfort
 * c) how a farsighted person might see a distant object
 * d) how a farsighted person might see an object that is too close for comfort

187) In optics, normal means
 * a) parallel to the surface
 * b) to the right of the optical axis
 * c) to the left of the optical axis
 * d) perpendicular to the surface

188) The law of reflection applies to
 * a) flat surfaces
 * b) telescopes but not microscopes
 * c) only light in a vacuum
 * d) curved surfaces
 * e) both flat and curved surfaces

189) When light passes from air to glass
 * a) it bends away from the normal
 * b) the frequency increases
 * c) it does not bend
 * d) it bends towards the normal
 * e) the frequency decreases

190) When light passes from glass to air
 * a) the frequency decreases
 * b) it does not bend
 * c) it bends away from the normal
 * d) the frequency increases
 * e) it bends towards the normal

191) An important principle that allows fiber optics to work is
 * a) total external refraction
 * b) the invariance of the speed of light
 * c) the Doppler shift
 * d) partial internal absorption
 * e) total internal reflection

192) The focal point is where
 * a) rays meet whenever they pass through a lens
 * b) rays meet if they were parallel to the optical axis before striking a lens
 * c) the center of the lens
 * d) rays meet if they are parallel to each other
 * e) rays meet whenever they are forming an image

193) An object is placed 8.6 cm to the left of a diverging lens with a focal length of 9.1 cm. How far is the image from the lens?


 * a) 2.49 x 100 cm
 * b) 4.42 x 100 cm
 * c) 7.86 x 100 cm
 * d) 1.4 x 101 cm
 * e) 2.49 x 101 cm

194) An object is placed 6.55 cm to the left of a converging lens with a focal length of 5.4 cm. How far is the image from the lens?


 * a) 3.08 x 100 cm
 * b) 5.47 x 100 cm
 * c) 9.73 x 100 cm
 * d) 1.73 x 101 cm
 * e) 3.08 x 101 cm

195) An object of height 0.67 cm is placed 107 cm behind a diverging lens with a focal length of 70 cm. What is the height of the image?


 * a) 2.65 x 10-1 cm
 * b) 3.18 x 10-1 cm
 * c) 3.82 x 10-1 cm
 * d) 4.58 x 10-1 cm
 * e) 5.49 x 10-1 cm

196) An object is placed 13.7 cm to the left of a diverging lens with a focal length of 17.7 cm. On the side, at a distance of 5.5 cm from the diverging lens is a converging lens with focal length equal to 4 cm.  How far is the final image from the converging lens?


 * a) 5.73 x 10-2 cm
 * b) 1.81 x 10-1 cm
 * c) 5.73 x 10-1 cm
 * d) 1.81 x 100 cm
 * e) 5.73 x 100 cm

197) Which lens has the shorter focal length?
 * a) Ray_drawing_eye_schematic.svg
 * b) Ray drawing eye schematic01.svg
 * c) They have the same focal lengh.

198) If this represents the eye looking at an object, where is this object?
 * a) Two (of the other answers) are true
 * b) very far away
 * c) One focal length in front of the eye
 * d) directly in front of the eye (almost touching)
 * e) at infinity

199) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.
 * a) true
 * b) false

200) Mr. Smith is gazing at something as shown in the figure to the left.  Suppose he does not refocus, but attempts to stare at the star shown in the figures below.  Which diagram depicts how the rays from the star would travel if he does not refocus?
 * a) Ray drawing eye Wrong Answer.svg
 * b) Ray_drawing_eye_schematic_alternate.svg
 * c) Ray drawing eye schematic02.svg

201) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) lose 1 point
 * b) win 3 points
 * c) lose 3 points
 * d) win 1 point
 * e) be disqualified for cheating

202) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) win 1 point
 * b) lose 3 points
 * c) be disqualified for cheating
 * d) win 3 points
 * e) lose 1 point

203) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * a) K&spades; and K&clubs;
 * b) two of these are true
 * c) K and K&spades;
 * d) K and K&clubs;
 * e) none of these are true

204) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following loses?
 * a) K&spades; and K&clubs;
 * b) K and K&clubs;
 * c) none of these are true
 * d) K and K&spades;
 * e) two of these are true

205) If you play the solitaire game 6 times, you will on average win ___ times.
 * a) 6
 * b) 3
 * c) 2
 * d) 5
 * e) 4

206) If you play the solitaire game 3 times, you will on average lose ___ times.
 * a) 4
 * b) 2
 * c) 3
 * d) 1
 * e) 5

207) If you play the solitaire game 6 times, you will on average lose ___ times.
 * a) 6
 * b) 5
 * c) 4
 * d) 2
 * e) 3

208) If you play the solitaire game 3 times, you will on average win ___ times.
 * a) 5
 * b) 2
 * c) 1
 * d) 4
 * e) 3

209) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * a) all of these are possible
 * b) parallel
 * c) perpendicular
 * d) at 45 degrees

210) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) linear or elliptical
 * b) circular or linear
 * c) linearly
 * d) circular
 * e) circular or elliptical

211) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * a) electromagnetic or pendulum
 * b) both can be created
 * c) electromagnetic
 * d) pendulum

212) To create an unpolarized pendulum oscillation
 * a) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * b) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
 * c) create an elliptically polarized wave with an &epsilon;<0.8
 * d) create an elliptically polarized wave with an &epsilon;>0.2

213) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$\sqrt 2$$ what is the length of each side?
 * a) $$\tfrac 1 2$$
 * b) $$\sqrt 2$$
 * c) $$1$$
 * d) $$2\sqrt 2$$
 * e) $$\tfrac 1 \sqrt 2$$

214) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * a) $$\tfrac 1 2$$
 * b) $$\tfrac 1 \sqrt 2$$
 * c) $$1$$
 * d) $$\sqrt 2$$
 * e) $$2\sqrt 2$$

215) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * a) $$ \tfrac 1 4$$
 * b) $$\tfrac 3 4$$
 * c) $$\tfrac 1 2$$
 * d) $$\tfrac \sqrt 3 2$$
 * e) $$\tfrac 1 \sqrt 2$$

216) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * a) $$\tfrac 1 2$$
 * b) $$\tfrac \sqrt 3 2$$
 * c) $$\tfrac 1 \sqrt 2$$
 * d) $$ \tfrac 1 4$$
 * e) $$\tfrac 3 4$$

217) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * a) $$\tfrac 1 4$$
 * b) $$\tfrac 1 2$$
 * c) $$\tfrac 1 \sqrt 2$$
 * d) $$\tfrac 3 4$$
 * e) $$\tfrac \sqrt 3 2$$

218) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 60&deg; to that field?
 * a) $$\tfrac 1 \sqrt 2$$
 * b) $$\tfrac 1 4$$
 * c) $$\tfrac \sqrt 3 2$$
 * d) $$\tfrac 3 4$$
 * e) $$\tfrac 1 2$$

219) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * a) 8mW
 * b) 6mW
 * c) 4mW
 * d) 3mW
 * e) 9mW

220) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 8mW
 * b) 6mW
 * c) 3mW
 * d) 4mW
 * e) 9mW

221) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 8mW
 * b) 4mW
 * c) 6mW
 * d) 9mW
 * e) 3mW

222) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 3mW
 * b) 9mW
 * c) 4mW
 * d) 8mW
 * e) 6mW

223) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 9mW
 * b) 6mW
 * c) 4mW
 * d) 3mW
 * e) 8mW

224) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * a) 1/32
 * b) 1/8
 * c) 1/16
 * d) 3/16
 * e) 3/32

225) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) linear or elliptical
 * b) circular or elliptical
 * c) circular
 * d) circular or linear
 * e) linearly

226) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * a) 1/16
 * b) 3/16
 * c) 3/32
 * d) 1/8
 * e) 1/32

227) If the wavelength &lambda; associated with a photon is cut in half, the photon's energy E
 * a) becomes 4 times as big
 * b) is reduced by a factor of 4
 * c) becomes twice as big
 * d) is cut in half
 * e) stays the same

228) If the wavelength &lambda; associated with a photon doubles, the photon's frequency f
 * a) is reduced by a factor of 4
 * b) stays the same
 * c) becomes 4 times as big
 * d) becomes twice as big
 * e) is cut in half

229) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * a) is reduced by a factor of 4
 * b) becomes 4 times as big
 * c) is cut in half
 * d) becomes twice as big
 * e) stays the same

230) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * a) stays the same
 * b) is reduced by a factor of 4
 * c) becomes 4 times as big
 * d) is cut in half
 * e) becomes twice as big

231) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy
 * a) increases by 4 eV
 * b) decreases by 2 eV
 * c) increases by 2 eV
 * d) decreases by 4 eV
 * e) stays the same

232) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * a) increases by 4 eV
 * b) increases by 2 eV
 * c) decreases by 2 eV
 * d) stays the same
 * e) decreases by 4 eV

233) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * a) zero
 * b) equal to 3 eV
 * c) equal to 6 eV
 * d) greater than 3 eV
 * e) less than 3 eV

234) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?
 * a) deflecting the electron with a magnetic field
 * b) measuring polarization
 * c) stopping the electron with an applied voltage
 * d) measuring spin
 * e) measuring both spin and polarization

235) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * a) increases by 4 eV
 * b) decreases by 2 eV
 * c) increases by 2 eV
 * d) stays the same
 * e) decreases by 4 eV

236) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?
 * a) 6x1018
 * b) 4x1018
 * c) 8x1018
 * d) 2x1018
 * e) 1018

237) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * a) They have the same energy density (since the holes are identical).
 * b) The hotter object has a greater energy density.
 * c) No unique answer exists because two variables are involved (temperature and volume).
 * d) The larger object has a greater energy density.

238) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?
 * a) They both emit the same number of photons (since the holes are identical).
 * b) The object with the greater temperature emits more.
 * c) No unique answer exists because two variables are involved (temperature and volume).
 * d) The object with the greater volume.

239) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?
 * a) They have the same energy (since the holes are identical).
 * b) The hotter object has a greater energy.
 * c) The larger object has a greater energy.
 * d) No unique answer exists because two variables are involved (temperature and volume).

240) This figure is associated with
 * a) Evidence presented in 1800 that light is a wave.
 * b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

241) This figure is associated with
 * a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * c) Evidence presented in 1800 that light is a wave.
 * d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

242) This figure is associated with
 * a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * b) Evidence presented in 1800 that light is a wave.
 * c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * d) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

243) This figure is associated with
 * a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * d) Evidence presented in 1800 that light is a wave.
 * e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

244) A photon is polarized at 5&deg; when it encounters a filter oriented at 35&deg;. What is the probability that it passes?
 * a) 1
 * b) 0
 * c) 1/2
 * d) 1/4
 * e) 3/4

245) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * a) 3/4
 * b) 0
 * c) 1
 * d) 1/2
 * e) 1/4

246) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * a) 0
 * b) 1/2
 * c) 1/4
 * d) 1
 * e) 3/4

247) A photon is polarized at 10&deg; when it encounters a filter oriented at 40&deg;. What is the probability that it is blocked?
 * a) 1/2
 * b) 0
 * c) 3/4
 * d) 1/4
 * e) 1

248) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * a) 0
 * b) 3/4
 * c) 1/2
 * d) 1
 * e) 1/4

249) A photon is polarized at 5&deg; when it encounters a filter oriented at 65&deg;. What is the probability that it is blocked?
 * a) 0
 * b) 3/4
 * c) 1/4
 * d) 1/2
 * e) 1

250) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it passes?
 * a) 1
 * b) 0
 * c) 1/4
 * d) 1/2
 * e) 3/4

251) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * a) 1
 * b) 3/4
 * c) 0
 * d) 1/2
 * e) 1/4

252) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 2/4=1/2
 * b) 2/5
 * c) 3/5
 * d) 5/6
 * e) 3/4

253) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 3/5
 * b) 2/5
 * c) 2/4=1/2
 * d) 5/6
 * e) 3/4

254) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * a) 5/4
 * b) 4/5
 * c) 5/6
 * d) 6/5
 * e) 7/5

255) Calculate the quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) &minus;1/5
 * b) +1
 * c) 0
 * d) +2/5
 * e) &minus;2/5
 * f) +1/5

256) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) &minus;2/5
 * b) 0
 * c) +1
 * d) +2/5
 * e) +1/5
 * f) &minus;1/5

257) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
 * a) 3/4
 * b) 1/4
 * c) 1
 * d) 0
 * e) 1/2
 * f) 5/4

258) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
 * a) 3/4
 * b) 1
 * c) 5/4
 * d) 1/2
 * e) 1/4
 * f) 0

259) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * a) 5/4
 * b) 3/4
 * c) 1/2
 * d) 0
 * e) 1/4
 * f) 1

260) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * a) 3/4
 * b) 1/4
 * c) 5/4
 * d) 0
 * e) 1/2
 * f) 1

261) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
 * a) 1
 * b) 5/4
 * c) 3/4
 * d) 1/4
 * e) 1/2
 * f) 0

ALL A1
1) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.222 T magnetic field is directed 23&deg; away from the wire?


 * a) 5.205E-01 N/m
 * b) 5.725E-01 N/m
 * c) 6.297E-01 N/m
 * d) 6.927E-01 N/m
 * e) 7.620E-01 N/m

2) Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =13.6 s if &epsilon; = 6.56 V, R = 2.44 &Omega;, and L = 8.76 H?


 * a) 2.627E+00 V
 * b) 3.153E+00 V
 * c) 3.783E+00 V
 * d) 4.540E+00 V
 * e) 5.448E+00 V

3) The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T.  Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.


 * a) 1.560E-06 V
 * b) 1.716E-06 V
 * c) 1.888E-06 V
 * d) 2.077E-06 V
 * e) 2.284E-06 V

4) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * a) 1/2
 * b) 3/4
 * c) 0
 * d) 1/4
 * e) 1

5) The focal point is where
 * a) the center of the lens
 * b) rays meet if they were parallel to the optical axis before striking a lens
 * c) rays meet if they are parallel to each other
 * d) rays meet whenever they pass through a lens
 * e) rays meet whenever they are forming an image

6) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * a) 5/4
 * b) 3/4
 * c) 0
 * d) 1
 * e) 1/2
 * f) 1/4

7) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * a) none of these are correct
 * b) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * c) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * d) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * e) $$ r^2\varepsilon_0 E=R^3\rho /2$$

8) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?
 * a) measuring spin
 * b) measuring both spin and polarization
 * c) deflecting the electron with a magnetic field
 * d) stopping the electron with an applied voltage
 * e) measuring polarization

9) A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?
 * a) I = 5A &  P = 3W.
 * b) I = 5A &  P = 5W.
 * c) I = 5A &  P = 25W.
 * d) I = 5A &  P = 9W

10) Under most conditions the current is distributed uniformly over the cross section of the wire.  What is the magnetic field 1.51 mm from the center of a wire of radius 5 mm if the current is 1A?


 * a) 1.098E-05 T
 * b) 1.208E-05 T
 * c) 1.329E-05 T
 * d) 1.462E-05 T
 * e) 1.608E-05 T

11) What is the current through R1 and R2 in the figure shown?
 * a) $$I_1 = 10A$$ and $$I_2 = 16.67A$$.
 * b) $$I_1 = 0.1A$$ and $$I_2 = 0.1667A$$.
 * c) $$I_1 = 1A$$ and $$I_2 = 1.667A$$.
 * d) $$I_1 = 1A$$ and $$I_2 = 25A$$.

12) A make-believe metal has a density of 1.180E+04 kg/m3 and an atomic mass of 121.0 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.


 * a) 4.010E+28 e&minus;/m3
 * b) 4.411E+28 e&minus;/m3
 * c) 4.852E+28 e&minus;/m3
 * d) 5.337E+28 e&minus;/m3
 * e) 5.871E+28 e&minus;/m3

13) A DC winch moter draws 20 amps at 169 volts as it lifts a 5.120E+03 N weight at a constant speed of 0.543 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.


 * a) 1.500E+00 &Omega;
 * b) 1.650E+00 &Omega;
 * c) 1.815E+00 &Omega;
 * d) 1.996E+00 &Omega;
 * e) 2.196E+00 &Omega;

14) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal B=$$
 * a) 2
 * b) 3
 * c) &minus;3
 * d) &minus;3
 * e) &minus;7

15) A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed?
 * a) 1.67 Watts
 * b) 11.67 Joules
 * c) 2.5 Watts
 * d) None of these are ture.

16) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 &deg; to a uniform magnetic fied of 0.193 T?


 * a) 6.257E-07 N m
 * b) 6.882E-07 N m
 * c) 7.570E-07 N m
 * d) 8.327E-07 N m
 * e) 9.160E-07 N m

17) $$E(z)=\int_{0}^R f(r',z)dr'$$ is an integral that calculates the magnitude of the electric field at a distance $$z$$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk.  The disk's radius is $$R=8.3\text{ m}$$ and the surface charge density is $$\sigma=5\text{ nC/m}^3$$. Evaluate $$f(r',z)$$ at $$r'=5.3\text{ m}$$.


 * a) 1.022E+00 V/m2
 * b) 1.125E+00 V/m2
 * c) 1.237E+00 V/m2
 * d) 1.361E+00 V/m2
 * e) 1.497E+00 V/m2

18) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * a) zero
 * b) equal to 6 eV
 * c) greater than 3 eV
 * d) less than 3 eV
 * e) equal to 3 eV

19) A given battery has a 9 V emf and an internal resistance of 0.141 &Omega;. If it is connected to a 0.663 &Omega; resistor what is the power dissipated by that load?


 * a) 5.674E+01 W
 * b) 6.242E+01 W
 * c) 6.866E+01 W
 * d) 7.553E+01 W
 * e) 8.308E+01 W

20) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * a) 2.177E+01 s
 * b) 2.394E+01 s
 * c) 2.634E+01 s
 * d) 2.897E+01 s
 * e) 3.187E+01 s

21) An ac generator produces an emf of amplitude 75 V at a frequency of 200 Hz. What is the maximum amplitude of the current if the generator is connected to a  22 mF inductor?


 * a) 2.466E+00 A
 * b) 2.713E+00 A
 * c) 2.984E+00 A
 * d) 3.283E+00 A
 * e) 3.611E+00 A

22) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?
 * a) They both emit the same number of photons (since the holes are identical).
 * b) No unique answer exists because two variables are involved (temperature and volume).
 * c) The object with the greater temperature emits more.
 * d) The object with the greater volume.

23) Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 7.982E+01 J
 * b) 8.780E+01 J
 * c) 9.658E+01 J
 * d) 1.062E+02 J
 * e) 1.169E+02 J

24) Calculate the electric field in a 12-gauge copper wire that is 48 m long and carries a current of 63 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * a) 3.198E-04 V/m
 * b) 3.517E-04 V/m
 * c) 3.869E-04 V/m
 * d) 4.256E-04 V/m
 * e) 4.682E-04 V/m

25) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it passes?
 * a) 1/2
 * b) 1/4
 * c) 0
 * d) 1
 * e) 3/4

26) A very long and thin solenoid has 1518 turns and is 156 meters long. The wire carrys a current of 8.9A. What is the magnetic field in the center?


 * a) 8.26E-05 Tesla
 * b) 9.05E-05 Tesla
 * c) 9.93E-05 Tesla
 * d) 1.09E-04 Tesla
 * e) 1.19E-04 Tesla

27) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.299E+00 mA
 * b) 1.429E+00 mA
 * c) 1.572E+00 mA
 * d) 1.729E+00 mA
 * e) 1.902E+00 mA

28) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?
 * a) 1018
 * b) 2x1018
 * c) 8x1018
 * d) 6x1018
 * e) 4x1018

29) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{6}{11}\Omega$$.
 * b) $$\frac{3}{6}\Omega$$.
 * c) $$\frac{6}{3}\Omega$$.
 * d) $$\frac{11}{6}\Omega$$.

30) If you play the solitaire game 3 times, you will on average win ___ times.
 * a) 5
 * b) 1
 * c) 3
 * d) 4
 * e) 2

31) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * a) 4/5
 * b) 7/5
 * c) 5/6
 * d) 6/5
 * e) 5/4

32) If you put an infinite number of resistors in parallel, what would the total resistance be?
 * a) None of these are true.
 * b) It is not possible to connect that Number of Resistors in parallel.
 * c) $$R_{total}$$ would approach 1 as The No. of Resistors In parallel Approaches Infinity
 * d) $$R_{total}$$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.

33) What is the net capacitance if C1=4.7 &mu;F, C2=4.82 &mu;F, and C3=3.61 &mu;F in the configuration shown?


 * a) 5.445E+00 &mu;F
 * b) 5.990E+00 &mu;F
 * c) 6.589E+00 &mu;F
 * d) 7.247E+00 &mu;F
 * e) 7.972E+00 &mu;F

34) Two sources of emf &epsilon;1=21.6 V, and  &epsilon;2=8.59 V are oriented as shownin the circuit. The resistances are R1=4.97 k&Omega; and  R2=1.69 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.2 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 6.064E+00 V
 * b) 6.670E+00 V
 * c) 7.337E+00 V
 * d) 8.071E+00 V
 * e) 8.878E+00 V

35) What is the radiation pressure on an object that is 1.20E+11 m away from the sun and has cross-sectional area of 0.082 m2? The average power output of the Sun is 3.80E+26 W.


 * a) 9.568E-06 N/m2
 * b) 1.053E-05 N/m2
 * c) 1.158E-05 N/m2
 * d) 1.274E-05 N/m2
 * e) 1.401E-05 N/m2

36) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) s&minus;7
 * b) 3&minus;s
 * c) s&minus;3
 * d) 8
 * e) 7&minus;s

37) An electron beam (m=9.1 x 10&minus;31kg, q=1.6 x 10&minus;19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?


 * a) 5.072E+05 m/s
 * b) 5.579E+05 m/s
 * c) 6.137E+05 m/s
 * d) 6.751E+05 m/s
 * e) 7.426E+05 m/s

38) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.24+1.11z)\rho^3\hat\rho +8.16z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{side}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the curved side surface of the cylinder.


 * a) 9.205E+02
 * b) 1.115E+03
 * c) 1.351E+03
 * d) 1.637E+03
 * e) 1.983E+03

39) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at  (x,y) =( 1.1a, 1.2a) is &beta;kQ/a2, where &beta; equals


 * a) 2.36 x 10-1 unit
 * b) 2.86 x 10-1 unit
 * c) 3.47 x 10-1 unit
 * d) 4.2 x 10-1 unit
 * e) 5.09 x 10-1 unit

40) The output of an ac generator connected to an RLC series combination has a frequency of 5.50E+04 Hz and an amplitude of 2 V. If R =8 &Omega;, L= 9.60E-03H, and C=8.30E-06 F, what is the rms power transferred to the resistor?


 * a) 4.347E-05 Watts
 * b) 4.782E-05 Watts
 * c) 5.260E-05 Watts
 * d) 5.786E-05 Watts
 * e) 6.364E-05 Watts

41) Two orbiting satellites are orbiting at a speed of 83 km/s perpendicular to a magnetic field of 57 &mu;T. They are connected by a cable that is 23 km long.  A voltmeter is attached between a satellite and one end of the cable.  The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit.  What is the measured voltage?


 * a) 8.98 x 104 volts.
 * b) 1.09 x 105 volts.
 * c) 1.32 x 105 volts.
 * d) 1.6 x 105 volts.
 * e) 1.93 x 105 volts.

42) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 6mW
 * b) 8mW
 * c) 9mW
 * d) 3mW
 * e) 4mW

43) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.2 m, z=z0=1.8 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 6.0m2. An electric field has the xyz components (0, 8.7, 8.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 4.730E+01 N&middot;m2/C
 * b) 5.203E+01 N&middot;m2/C
 * c) 5.723E+01 N&middot;m2/C
 * d) 6.295E+01 N&middot;m2/C
 * e) 6.925E+01 N&middot;m2/C

44) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * a) $$\tfrac \sqrt 3 2$$
 * b) $$\tfrac 1 2$$
 * c) $$\tfrac 3 4$$
 * d) $$\tfrac 1 \sqrt 2$$
 * e) $$ \tfrac 1 4$$

45) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm.  What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?


 * a) 5.14 x 10-5 Volts
 * b) 1.62 x 10-4 Volts
 * c) 5.14 x 10-4 Volts
 * d) 1.62 x 10-3 Volts
 * e) 5.14 x 10-3 Volts

46) A circlular capactitor of radius 3.1 m has a gap of 11 mm, and a charge of 76 &mu;C.  The capacitor is discharged through a  8 k&Omega; resistor.  What is the decay time?


 * a) 1.94E-04 s
 * b) 2.36E-04 s
 * c) 2.85E-04 s
 * d) 3.46E-04 s
 * e) 4.19E-04 s

47) Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.75 &Omega; at a temperature of 24&deg;C and that the temperature coefficient of expansion is 4.300E-03 (&deg;C)&minus;1). What is the resistance at a temperature of 423 &deg;C?


 * a) 1.018E+01 &Omega;
 * b) 1.069E+01 &Omega;
 * c) 1.123E+01 &Omega;
 * d) 1.179E+01 &Omega;
 * e) 1.238E+01 &Omega;

48) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy
 * a) decreases by 2 eV
 * b) increases by 2 eV
 * c) stays the same
 * d) increases by 4 eV
 * e) decreases by 4 eV

49) If the wavelength &lambda; associated with a photon doubles, the photon's frequency f
 * a) is cut in half
 * b) becomes twice as big
 * c) becomes 4 times as big
 * d) is reduced by a factor of 4
 * e) stays the same

50) Calculate the motional emf induced along a 24.4 km conductor moving at an orbital speed of 7.79 km/s perpendicular to Earth's 4.790E-05 Tesla magnetic field.


 * a) 6.840E+03 V
 * b) 7.524E+03 V
 * c) 8.277E+03 V
 * d) 9.105E+03 V
 * e) 1.002E+04 V

51) An object is placed 7.8 cm to the left of a diverging lens with a focal length of 3.6 cm. How far is the image from the lens?


 * a) 7.79 x 10-1 cm
 * b) 1.39 x 100 cm
 * c) 2.46 x 100 cm
 * d) 4.38 x 100 cm
 * e) 7.79 x 100 cm

52) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 3/5
 * b) 2/4=1/2
 * c) 3/4
 * d) 2/5
 * e) 5/6

53) A photon is polarized at 5&deg; when it encounters a filter oriented at 65&deg;. What is the probability that it is blocked?
 * a) 0
 * b) 1/2
 * c) 1/4
 * d) 3/4
 * e) 1

54) A parallel plate capacitor with a capicatnce C=4.50E-06 F whose plates have an area A=3.30E+03 m2 and separation d=6.40E-03 m is connected via a swith to a 83 &Omega; resistor and a battery of voltage V0=56 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=1.40E-03?


 * a) 7.767E+03 V/m
 * b) 8.544E+03 V/m
 * c) 9.398E+03 V/m
 * d) 1.034E+04 V/m
 * e) 1.137E+04 V/m

55) A 10 F capacitor is connected in series to a 10&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 4 x 100 s.
 * b) 1.26 x 101 s.
 * c) 4 x 101 s.
 * d) 1.26 x 102 s.
 * e) 4 x 102 s.

56) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?


 * a) 1.141E-05 s
 * b) 1.255E-05 s
 * c) 1.381E-05 s
 * d) 1.519E-05 s
 * e) 1.671E-05 s

57) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) circular or linear
 * b) circular
 * c) linear or elliptical
 * d) circular or elliptical
 * e) linearly

58) Two parallel wires each carry a 4.15 mA current and are oriented in the z direction. The first wire is located in the x-y   plane at (3.19 cm, 1.78 cm), while the other is located at (3.73 cm, 4.12 cm). What is the force per unit length between the wires?


 * a) 1.434E-10 N/m
 * b) 1.578E-10 N/m
 * c) 1.736E-10 N/m
 * d) 1.909E-10 N/m
 * e) 2.100E-10 N/m

59) H is defined by, B=&mu;0H, where B is magnetic field. A current of 65A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point ( - 4.9, 4.9) to the point (4.9, 4.9).


 * a) 1.23E+01 amps
 * b) 1.35E+01 amps
 * c) 1.48E+01 amps
 * d) 1.63E+01 amps
 * e) 1.78E+01 amps

60) A device requires consumes 103 W of power and requires 6.3 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.


 * a) 8.999E+05 A/m2
 * b) 9.899E+05 A/m2
 * c) 1.089E+06 A/m2
 * d) 1.198E+06 A/m2
 * e) 1.317E+06 A/m2

61) The same parallel plate capacitor, with area 1.45 m2, plate separation  0.93mm, and an applied voltage of 4.45 kV.  How much charge is stored?


 * a) 40.39 &mu;C.
 * b) 46.45 &mu;C.
 * c) 53.42 &mu;C.
 * d) 61.43 &mu;C.
 * e) 70.65 &mu;C.

62) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.51 kA, I2=2.33 kA, and I3=5.35 kA, take the $$\beta$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * a) 3.795E-03 T-m
 * b) 4.175E-03 T-m
 * c) 4.592E-03 T-m
 * d) 5.051E-03 T-m
 * e) 5.556E-03 T-m

63) A long solenoid has a radius of 0.591 m and 41 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$1 A and $$\alpha=$$30 s&minus;1.What is the induced electric fied at a distance 0.234 m from the axis at time t=0.0208 s ?


 * a) 6.618E-05 V/m
 * b) 7.280E-05 V/m
 * c) 8.008E-05 V/m
 * d) 8.809E-05 V/m
 * e) 9.689E-05 V/m

64) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
 * a) 5/4
 * b) 1/2
 * c) 1/4
 * d) 0
 * e) 3/4
 * f) 1

65) An loop of wire with 31 turns has a radius of 0.9 meters, and is oriented with its axis parallel to a magetic field of 0.83 Tesla. What is the induced voltage if this field is reduced to  35% of its original value in 1.7 seconds?


 * a) 2.07 x 101 volts
 * b) 2.5 x 101 volts
 * c) 3.03 x 101 volts
 * d) 3.67 x 101 volts
 * e) 4.45 x 101 volts

66) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal.  To counter the magnetic force, a voltage is applied between two large parallel plates that are 59  mm apart.  What must be the applied voltage if the magnetic field is 45&mu;T?


 * a) 1.1 x 100 volts
 * b) 3.6 x 100 volts
 * c) 1.1 x 101 volts
 * d) 3.6 x 101 volts
 * e) 1.1 x 102 volts

67) The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one?
 * a) $$V_{Big-Resistor} = 6.67V$$ and $$V_{small-Resistor} = 3.33V$$.
 * b) $$V_{Big-Resistor} = 3.33V$$ and$$V_{small-Resistor} = 6.67V$$.
 * c) $$V_{small-Resistor} = 5V$$ and $$V_{Big-Resistor} = 5V$$.
 * d) None of these are true.

68) When light passes from air to glass
 * a) it does not bend
 * b) it bends away from the normal
 * c) the frequency increases
 * d) it bends towards the normal
 * e) the frequency decreases

69) A long solenoid has a radius of 0.583 m and 38 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$6 A and $$\alpha=$$24 s&minus;1.What is the induced electric fied at a distance 2.09 m from the axis at time t=0.0388 s ?


 * a) 1.655E-04 V/m
 * b) 1.821E-04 V/m
 * c) 2.003E-04 V/m
 * d) 2.203E-04 V/m
 * e) 2.424E-04 V/m

70) A 819 mF capacitor is connected in series to a 798 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 8.27 x 105 s.
 * b) 2.61 x 106 s.
 * c) 8.27 x 106 s.
 * d) 2.61 x 107 s.
 * e) 8.27 x 107 s.

71) A parallel plate capacitor with a capicatnce C=9.80E-06 F whose plates have an area A=9.60E+03 m2 and separation d=8.70E-03 m is connected via a swith to a 23 &Omega; resistor and a battery of voltage V0=3 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=7.20E-04?


 * a) 2.877E+00 V
 * b) 3.165E+00 V
 * c) 3.481E+00 V
 * d) 3.829E+00 V
 * e) 4.212E+00 V

72) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * a) 3/16
 * b) 3/32
 * c) 1/8
 * d) 1/16
 * e) 1/32

73) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 4
 * b) 8&minus;s
 * c) s&minus;8
 * d) 4&minus;s
 * e) s&minus;4

74) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * a) 1
 * b) 1/4
 * c) 3/4
 * d) 5/4
 * e) 1/2
 * f) 0

75) A Van de Graff generator has a 140 cm diameter metal sphere that produces 244 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.900E+01 &mu;C
 * b) 2.090E+01 &mu;C
 * c) 2.299E+01 &mu;C
 * d) 2.529E+01 &mu;C
 * e) 2.782E+01 &mu;C

76) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) s&minus;8
 * b) 4&minus;s
 * c) 4
 * d) 8&minus;s
 * e) s&minus;4

77) 3 amps flow through a 1 Ohm resistor. What is the voltage?
 * a) $$\frac{1}{3}V$$
 * b) $$1V$$
 * c) $$3V$$
 * d) None these are correct.

78) A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?


 * a) 4.788E+09 N/C2
 * b) 5.267E+09 N/C2
 * c) 5.793E+09 N/C2
 * d) 6.373E+09 N/C2
 * e) 7.010E+09 N/C2

79) Two 7.4 ohm resistors are connected in parallel.  This combination is then connected in series to a 2.8 ohm resistor.  What is the net resistance?


 * a) 5.7 ohms.
 * b) 6.5 ohms.
 * c) 7.5 ohms.
 * d) 8.6 ohms.
 * e) 9.9 ohms.

80) A 12.0 V battery can move 41,000 C of charge. How many Joules does it deliver?


 * a) 3.696E+05 J
 * b) 4.066E+05 J
 * c) 4.473E+05 J
 * d) 4.920E+05 J
 * e) 5.412E+05 J

81) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 60&deg; to that field?
 * a) $$\tfrac 1 4$$
 * b) $$\tfrac 1 2$$
 * c) $$\tfrac \sqrt 3 2$$
 * d) $$\tfrac 3 4$$
 * e) $$\tfrac 1 \sqrt 2$$

82) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * a) $$\tfrac 1 2$$
 * b) $$\tfrac \sqrt 3 2$$
 * c) $$\tfrac 3 4$$
 * d) $$\tfrac 1 \sqrt 2$$
 * e) $$ \tfrac 1 4$$

83) Calculate the drift speed of electrons in a copper wire with a diameter of 4.79 mm carrying a 10.9 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.


 * a) 3.401E-05 m/s
 * b) 3.741E-05 m/s
 * c) 4.116E-05 m/s
 * d) 4.527E-05 m/s
 * e) 4.980E-05 m/s

84) In the figure shown C1=15.4 &mu;F, C2=2.22 &mu;F, and C3=4.77 &mu;F. The voltage source provides &epsilon;=6.8 V. What is the charge on C1?


 * a) 2.702E+01 &mu;C
 * b) 2.972E+01 &mu;C
 * c) 3.269E+01 &mu;C
 * d) 3.596E+01 &mu;C
 * e) 3.956E+01 &mu;C

85) Calculate the resistance of a 12-gauge copper wire that is 14 m long and carries a current of 38 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * a) 5.873E-02 &Omega;
 * b) 6.460E-02 &Omega;
 * c) 7.106E-02 &Omega;
 * d) 7.816E-02 &Omega;
 * e) 8.598E-02 &Omega;

86) A step-down transformer steps 12 kV down to 170 V. The high-voltage input is provided by a 140 &Omega; power line that carries 9 A of currentWhat is the output current (at the 170 V side ?)


 * a) 4.773E+02 A
 * b) 5.250E+02 A
 * c) 5.775E+02 A
 * d) 6.353E+02 A
 * e) 6.988E+02 A

87) A photon is polarized at 5&deg; when it encounters a filter oriented at 35&deg;. What is the probability that it passes?
 * a) 1/4
 * b) 3/4
 * c) 0
 * d) 1
 * e) 1/2

88) H is defined by, B=&mu;0H, where B is magnetic field. A current of 37A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,9) to the point (9,9).


 * a) 4.22E+00 amps
 * b) 4.63E+00 amps
 * c) 5.07E+00 amps
 * d) 5.56E+00 amps
 * e) 6.10E+00 amps

89) This figure is associated with
 * a) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * d) Evidence presented in 1800 that light is a wave.
 * e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf

90) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
 * a) 1/4
 * b) 0
 * c) 1/2
 * d) 1
 * e) 3/4
 * f) 5/4

91) An object is placed 10.9 cm to the left of a diverging lens with a focal length of 16.4 cm. On the side, at a distance of 6.8 cm from the diverging lens is a converging lens with focal length equal to 4 cm.  How far is the final image from the converging lens?


 * a) 1.81 x 10-1 cm
 * b) 5.71 x 10-1 cm
 * c) 1.81 x 100 cm
 * d) 5.71 x 100 cm
 * e) 1.81 x 101 cm

92) Which lens has the shorter focal length?
 * a) Ray drawing eye schematic01.svg
 * b) They have the same focal lengh.
 * c) Ray_drawing_eye_schematic.svg

93) What is the sum of 0.8 apples plus 18 apples?


 * a) 1.56E+01 apples
 * b) 1.71E+01 apples
 * c) 1.88E+01 apples
 * d) 2.06E+01 apples
 * e) 2.26E+01 apples

94) Three wires sit at the corners of a square of length 0.832 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.03 A, 1.95 A, 2.02 A), respectively. What is the x-component of the magnetic field at point P?


 * a) Bx= 6.545E-05 T
 * b) Bx= 7.200E-05 T
 * c) Bx= 7.919E-05 T
 * d) Bx= 8.711E-05 T
 * e) Bx= 9.583E-05 T

95) A long solenoid has a length 0.605 meters, radius 4.26 cm, and 597 turns. It surrounds  coil of radius 9.08 meters and 12turns.  If the current in the solenoid is changing at a rate of 250 A/s, what is the emf induced in the surounding coil?


 * a) 4.551E-02 V
 * b) 5.006E-02 V
 * c) 5.507E-02 V
 * d) 6.057E-02 V
 * e) 6.663E-02 V

96) What is consumer cost to operate one 65&minus;W incandescent bulb for 12 hours per day for 1 year (365 days) if the cost of electricity is $0.134 per kilowatt-hour?


 * a) $2.866E+01
 * b) $3.153E+01
 * c) $3.468E+01
 * d) $3.815E+01
 * e) $4.196E+01

97) A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?
 * a) 15V.
 * b) 2V.
 * c) 10V.
 * d) 0.5V.

98) An electron gun has parallel plates separated by 2.68 cm and gives electrons 29 keV of energy. What force would the field between the plates exert on a 0.496 &mu;C charge that gets between the plates?


 * a) 5.367E-01 N
 * b) 5.904E-01 N
 * c) 6.494E-01 N
 * d) 7.144E-01 N
 * e) 7.858E-01 N

99) A 5.7 ohm resistor is connected in series to a pair of 3.8 ohm resistors that are in parallel.  What is the net resistance?


 * a) 5 ohms.
 * b) 5.7 ohms.
 * c) 6.6 ohms.
 * d) 7.6 ohms.
 * e) 8.7 ohms.

100) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * a) No unique answer exists because two variables are involved (temperature and volume).
 * b) They have the same energy density (since the holes are identical).
 * c) The larger object has a greater energy density.
 * d) The hotter object has a greater energy density.

101) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * a) 1/2
 * b) 1/4
 * c) 1
 * d) 0
 * e) 3/4

102) An object of height 0.7 cm is placed 117 cm behind a diverging lens with a focal length of 70 cm. What is the height of the image?


 * a) 2.62 x 10-1 cm
 * b) 3.14 x 10-1 cm
 * c) 3.77 x 10-1 cm
 * d) 4.53 x 10-1 cm
 * e) 5.43 x 10-1 cm

103) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) win 1 point
 * b) be disqualified for cheating
 * c) lose 3 points
 * d) lose 1 point
 * e) win 3 points

104) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * a) all of these are possible
 * b) perpendicular
 * c) at 45 degrees
 * d) parallel

105) When a 4.63 V battery operates a 2.26 W bulb, how many electrons pass through it each second?


 * a) 2.770E+18 electrons
 * b) 3.047E+18 electrons
 * c) 3.351E+18 electrons
 * d) 3.686E+18 electrons
 * e) 4.055E+18 electrons

106) A photon is polarized at 10&deg; when it encounters a filter oriented at 40&deg;. What is the probability that it is blocked?
 * a) 0
 * b) 3/4
 * c) 1/2
 * d) 1
 * e) 1/4

107) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?
 * a) No unique answer exists because two variables are involved (temperature and volume).
 * b) They have the same energy (since the holes are identical).
 * c) The larger object has a greater energy.
 * d) The hotter object has a greater energy.

108) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * a) 3mW
 * b) 4mW
 * c) 6mW
 * d) 8mW
 * e) 9mW

109) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.6 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=4.4 m, z=z0=1.4 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 5.0m2 ,and those in the zx plane have area 6.6m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 34&deg; from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 2.756E+01 N&middot;m2/C
 * b) 3.032E+01 N&middot;m2/C
 * c) 3.335E+01 N&middot;m2/C
 * d) 3.668E+01 N&middot;m2/C
 * e) 4.035E+01 N&middot;m2/C

110) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=   \rho z $$
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) $$\varepsilon_0 E = H\rho /2$$
 * d) $$\varepsilon_0 E=  H\rho $$
 * e) none of these are correct

111) A 727 mF capacitor is connected in series to a 860 M&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)


 * a) 1.88 x 109 s.
 * b) 5.93 x 109 s.
 * c) 1.88 x 1010 s.
 * d) 5.93 x 1010 s.
 * e) 1.88 x 1011 s.

112) In the figure shown C1=17.6 &mu;F, C2=2.12 &mu;F, and C3=4.72 &mu;F. The voltage source provides &epsilon;=5.35 V. What is the energy stored in C2?


 * a) 6.750E+00 &mu;J
 * b) 7.425E+00 &mu;J
 * c) 8.168E+00 &mu;J
 * d) 8.984E+00 &mu;J
 * e) 9.883E+00 &mu;J

113) What is the current through R1, R2, R3, and R4 in the figure shown?
 * a) $$I_1 = 1A$$; $$I_2 = 0.5A$$; $$I_3 = 0.33A$$; $$I_4 = 0.25A$$.
 * b) $$I_1 = 1A$$; $$I_2 = 5A$$; $$I_3 = 3.3A$$; $$I_4 = 2.5A$$.
 * c) $$I_1 = 0.25A$$; $$I_2 = 0.33A$$; $$I_3 = 0.5A$$; $$I_4 = 0.1A$$.
 * d) $$I_1 = 10A$$; $$I_2 = 50A$$; $$I_3 = 33A$$; $$I_4 = 25A$$..

114) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * a) $$\tfrac 1 4$$
 * b) $$\tfrac 3 4$$
 * c) $$\tfrac 1 \sqrt 2$$
 * d) $$\tfrac \sqrt 3 2$$
 * e) $$\tfrac 1 2$$

115) A 0.5 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?


 * a) 3.46 kV/m.
 * b) 3.98 kV/m.
 * c) 4.57 kV/m.
 * d) 5.26 kV/m.
 * e) 6.05 kV/m.

116) This figure is associated with
 * a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * c) Evidence presented in 1800 that light is a wave.
 * d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

117) A circlular capactitor of radius 4.1 m has a gap of 14 mm, and a charge of 24 &mu;C.  What is the electric field between the plates?


 * a) 4.24E+04 N/C (or V/m)
 * b) 5.13E+04 N/C (or V/m)
 * c) 6.22E+04 N/C (or V/m)
 * d) 7.53E+04 N/C (or V/m)
 * e) 9.13E+04 N/C (or V/m)

118) An ideal 7.5 volt battery is connected to a 0.084 ohm resistor.  To measure the current an ammeter with a resistance of 14$$m\Omega$$ is used.  What current does the ammeter actually read?


 * a) 43.8 A.
 * b) 50.3 A.
 * c) 57.9 A.
 * d) 66.5 A.
 * e) 76.5 A.

119) A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{11}{7}\Omega$$.
 * b) $$\frac{21}{10}\Omega$$.
 * c) $$\frac{7}{11}\Omega$$.
 * d) $$\frac{10}{21}\Omega$$.

120) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * a) $$2R\varepsilon_0 E=  r^2\rho $$
 * b) none of these are correct
 * c) $$2r\varepsilon_0 E = R^2\rho $$
 * d) $$2\varepsilon_0 E = r\rho $$
 * e) $$2r^2\varepsilon_0 E= R^3  \rho $$

121) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 3mW
 * b) 6mW
 * c) 4mW
 * d) 9mW
 * e) 8mW

122) An empty parallel-plate capacitor with metal plates has an area of 2.21 m2, separated by 1.25 mm. How much charge does it store if the voltage is 1.580E+03 V?


 * a) 2.249E+01 &mu;C
 * b) 2.473E+01 &mu;C
 * c) 2.721E+01 &mu;C
 * d) 2.993E+01 &mu;C
 * e) 3.292E+01 &mu;C

123) An ideal 5.2 V voltage source is connected to two resistors in parallel.  One is 1.2$$k\Omega$$, and the other is 3.6 $$k\Omega$$.  What is the current through the larger resistor?


 * a) 0.94 mA.
 * b) 1.08 mA.
 * c) 1.25 mA.
 * d) 1.43 mA.
 * e) 1.65 mA.

124) Calculate the quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) +1/5
 * b) 0
 * c) +1
 * d) &minus;2/5
 * e) &minus;1/5
 * f) +2/5

125) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following loses?
 * a) K and K&clubs;
 * b) K and K&spades;
 * c) none of these are true
 * d) two of these are true
 * e) K&spades; and K&clubs;

126) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal A=$$:
 * a) 1/2
 * b) 2
 * c) 4
 * d) 8

127) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
 * a) 1/2
 * b) 1
 * c) 3/4
 * d) 0
 * e) 5/4
 * f) 1/4

128) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * a) is reduced by a factor of 4
 * b) becomes 4 times as big
 * c) becomes twice as big
 * d) is cut in half
 * e) stays the same

129) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * a) 1/2
 * b) 0
 * c) 1/4
 * d) 1
 * e) 3/4

130) An alpha-particle (m=6.64x10&minus;27kg, q=3.2x10&minus;19C) briefly enters a uniform magnetic field of magnitude 0.0482 T . It emerges after being deflected by 82&deg; from its original direction. How much time did it spend in that magnetic field?


 * a) 4.629E-07 s
 * b) 5.092E-07 s
 * c) 5.601E-07 s
 * d) 6.161E-07 s
 * e) 6.777E-07 s

131) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * a) stays the same
 * b) increases by 2 eV
 * c) decreases by 4 eV
 * d) decreases by 2 eV
 * e) increases by 4 eV

132) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?
 * a) $$R_1 = 125V$$ and $$R_2 = 125V$$.
 * b) None of these are true.
 * c) $$R_1 = 250V$$ and $$R_2 = 0V$$.
 * d) $$R_1 = 150V$$ and $$R_2 = 100V$$.

133) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 5
 * b) 5&minus;s
 * c) s&minus;1
 * d) 1&minus;s
 * e) s&minus;4

134) $$E_z(x=0,z)=\int_{-a}^b f(x,z)dx$$ is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m.  Evaluate $$f(x,y)$$ at x=0.96 m if a=0.63 m, b=1.4 m.  The total charge on the rod is 3 nC.


 * a) 3.719E+00 V/m2
 * b) 4.091E+00 V/m2
 * c) 4.500E+00 V/m2
 * d) 4.950E+00 V/m2
 * e) 5.445E+00 V/m2

135) If you play the solitaire game 3 times, you will on average lose ___ times.
 * a) 5
 * b) 4
 * c) 3
 * d) 2
 * e) 1

136) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 1&minus;s
 * b) 5&minus;s
 * c) 5
 * d) s&minus;4
 * e) s&minus;1

137) A 3.9 volt battery moves 90 Coulombs of charge in 2.2 hours. What is the power?


 * a) 4.43 x 10-2 W
 * b) 5.37 x 10-2 W
 * c) 6.51 x 10-2 W
 * d) 7.88 x 10-2 W
 * e) 9.55 x 10-2 W

138) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?


 * a) 2.36 x 10-3 newtons
 * b) 7.47 x 10-3 newtons
 * c) 2.36 x 10-2 newtons
 * d) 7.47 x 10-2 newtons
 * e) 2.36 x 10-1 newtons

139) Amphere's law for magnetostatic currents is that $$\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$$ equals the current enclosed by the closed loop, and $$B=\mu_0H$$ is the magnetic field. A current of 6.9A flows upward along the z axis. Noting that for this geometry, $$\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$$, calculate the line integral $$\oint d\ell$$ for a circle of radius 9.9m.


 * a) 6.22E+01 m
 * b) 6.82E+01 m
 * c) 7.48E+01 m
 * d) 8.20E+01 m
 * e) 8.99E+01 m

140) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 &mu;T. The kinetic energy is 437 keV.  What is the radius of particle's orbit?


 * a) 1.3 x 102 m.
 * b) 4.1 x 102 m.
 * c) 1.3 x 103 m.
 * d) 4.1 x 103 m.
 * e) 1.3 x 104 m.

141) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * a) $$2\sqrt 2$$
 * b) $$1$$
 * c) $$\sqrt 2$$
 * d) $$\tfrac 1 2$$
 * e) $$\tfrac 1 \sqrt 2$$

142) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 6mW
 * b) 9mW
 * c) 3mW
 * d) 8mW
 * e) 4mW

143) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * a) pendulum
 * b) electromagnetic or pendulum
 * c) both can be created
 * d) electromagnetic

144) This figure is associated with
 * a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * b) Evidence presented in 1800 that light is a wave.
 * c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

145) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) win 3 points
 * b) lose 1 point
 * c) win 1 point
 * d) be disqualified for cheating
 * e) lose 3 points

146) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.23 V;. If R =4 &Omega;, L= 7.70E-03H, and C=9.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?


 * a) 1.329E+00 &rad;
 * b) 1.462E+00 &rad;
 * c) 1.608E+00 &rad;
 * d) 1.769E+00 &rad;
 * e) 1.946E+00 &rad;

147) If the wavelength &lambda; associated with a photon is cut in half, the photon's energy E
 * a) is cut in half
 * b) stays the same
 * c) becomes 4 times as big
 * d) is reduced by a factor of 4
 * e) becomes twice as big

148) The law of reflection applies to
 * a) only light in a vacuum
 * b) flat surfaces
 * c) telescopes but not microscopes
 * d) curved surfaces
 * e) both flat and curved surfaces

149) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=4\times 10^{-7}\text{m}$$.what angle does the force on $$q_2$$ make above the $$-x$$ axis if $$q_1=3e$$, $$q_2=-8e$$, and $$q_3=6e$$?


 * a) 5.243E+01 degrees
 * b) 5.767E+01 degrees
 * c) 6.343E+01 degrees
 * d) 6.978E+01 degrees
 * e) 7.676E+01 degrees

150) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * a) is cut in half
 * b) becomes twice as big
 * c) stays the same
 * d) becomes 4 times as big
 * e) is reduced by a factor of 4

151) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * a) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * c) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * d) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * e) none of these are correct

152) A power supply delivers 169 watts of power to a 219 ohm resistor.  What was the applied voltage?


 * a) 8.93 x 101 volts
 * b) 1.08 x 102 volts
 * c) 1.31 x 102 volts
 * d) 1.59 x 102 volts
 * e) 1.92 x 102 volts

153) If you play the solitaire game 6 times, you will on average lose ___ times.
 * a) 4
 * b) 5
 * c) 6
 * d) 2
 * e) 3

154) H is defined by, B=&mu;0H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from  ( -&infin; ,9.4) to (+ &infin; ,9.4).


 * a) 3.25E+01 amps
 * b) 3.57E+01 amps
 * c) 3.91E+01 amps
 * d) 4.29E+01 amps
 * e) 4.70E+01 amps

155) To create an unpolarized pendulum oscillation
 * a) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
 * b) create an elliptically polarized wave with an &epsilon;<0.8
 * c) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * d) create an elliptically polarized wave with an &epsilon;>0.2

156) Two loops of wire carry the same current of 64 kA, and flow in the same direction. They share a common axis and orientation.  One loop has a radius of 0.838 m while the other has a radius of 1.17 m.  What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.528 m from the first (smaller) loopif the disance between the loops is 1.62 m?


 * a) 3.863E-02 T
 * b) 4.249E-02 T
 * c) 4.674E-02 T
 * d) 5.141E-02 T
 * e) 5.655E-02 T

157) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) &minus;1/5
 * b) &minus;2/5
 * c) +1/5
 * d) 0
 * e) +2/5
 * f) +1

158) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.
 * a) true
 * b) false

159) If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope?
 * a) Resistance.
 * b) None of these are true.
 * c) Discriminant.
 * d) Power.

160) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 6mW
 * b) 3mW
 * c) 4mW
 * d) 8mW
 * e) 9mW

161) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?


 * a) 3.4 x 101 volts
 * b) 5.1 x 101 volts
 * c) 7.7 x 101 volts
 * d) 1.2 x 102 volts
 * e) 1.7 x 102 volts

162) In optics, normal means
 * a) parallel to the surface
 * b) perpendicular to the surface
 * c) to the left of the optical axis
 * d) to the right of the optical axis

163) The output of an ac generator connected to an RLC series combination has a frequency of 1.00E+03 Hz and an amplitude of 0.6 V;. If R =3 &Omega;, L= 1.70E-03H, and C=5.40E-04 F, what is the impedance?


 * a) 8.123E+00 &Omega;
 * b) 8.935E+00 &Omega;
 * c) 9.828E+00 &Omega;
 * d) 1.081E+01 &Omega;
 * e) 1.189E+01 &Omega;

164) Three 1 ohm resistors are connected in parallel. What is the total resistance?
 * a) $$\frac{2}{3}\Omega$$.
 * b) $$\frac{3}{2}\Omega$$.
 * c) $$\frac{1}{3}\Omega$$.
 * d) $$ 3\Omega$$.

165) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?
 * a) None of these are true.
 * b) $$R_{Total} = 6\Omega$$.
 * c) $$R_{Total} = 0.5454\Omega$$.
 * d) $$R_{Total} = 3\Omega$$.

166) A solenoid has 3.950E+04 turns wound around a cylinder of diameter 1.64 cm and length 16 m. The current through the coils is 0.441 A.  Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $$\int\vec B\cdot\vec\ell$$ alongthe axis from z=&minus;2.05 cm to z=+3.97 cm


 * a) 6.807E-05 T-m
 * b) 7.487E-05 T-m
 * c) 8.236E-05 T-m
 * d) 9.060E-05 T-m
 * e) 9.966E-05 T-m

167) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where$$\mathcal F=$$
 * a) 3
 * b) 1/2
 * c) 2
 * d) 3/2

168)  Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * a) how a farsighted person might see a distant object
 * b) how a nearsighted person might see a distant object
 * c) how a farsighted person might see an object that is too close for comfort
 * d) how a nearsighted person might see an object that is too close for comfort

169) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?
 * a) It's an Electrical Cliche.
 * b) The other point could be Negative or positive.
 * c) None these are correct
 * d) Voltage is a measure of Electric Potential difference between two electrical points.

170) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$
 * a) s&minus;3
 * b) 3
 * c) 7&minus;s
 * d) s&minus;7
 * e) 3&minus;s

171) A 3 C charge is separated from a 9 C charge by distance of 13 cm.  What is the work done by increasing this separation to 21 cm?


 * a) 6.465E-07 J
 * b) 7.111E-07 J
 * c) 7.822E-07 J
 * d) 8.604E-07 J
 * e) 9.465E-07 J

172) A washer has an inner diameter of 2.3 cm and an outer diamter of 4.44 cm. The thickness is $$h=Cr^{-n}$$ where $$r$$ is measured in cm, $$C=4.31mm$$, and $$n=2.66$$. What is the volume of the washer?


 * a) 1.089E+00 cm3
 * b) 1.198E+00 cm3
 * c) 1.318E+00 cm3
 * d) 1.449E+00 cm3
 * e) 1.594E+00 cm3

173) An object is placed 4.65 cm to the left of a converging lens with a focal length of 6.2 cm. How far is the image from the lens?


 * a) 1.86 x 100 cm
 * b) 3.31 x 100 cm
 * c) 5.88 x 100 cm
 * d) 1.05 x 101 cm
 * e) 1.86 x 101 cm

174) A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?
 * a) 3A
 * b) 2A
 * c) 1.5A
 * d) 12A

175) A 65 &mu;F capacitor is connected in series to a 414 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 1.08 x 101 s.
 * b) 3.4 x 101 s.
 * c) 1.08 x 102 s.
 * d) 3.4 x 102 s.
 * e) 1.08 x 103 s.

176) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?


 * a) 3.9 x 104 m/s.
 * b) 5.8 x 104 m/s.
 * c) 8.7 x 104 m/s.
 * d) 1.3 x 105 m/s.
 * e) 2 x 105 m/s.

177) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * a) $$2\varepsilon_0 E = r\rho $$
 * b) $$2r\varepsilon_0 E = R^2\rho $$
 * c) $$2R\varepsilon_0 E=  r^2\rho $$
 * d) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * e) none of these are correct

178) An alpha-particle (q=3.2x10&minus;19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the  x-component of the force on the alpha-particle if it is moving with a velocity (1.43 i + 8.8 j  + 4.16 k) x 104 m/s?


 * a) 1.064E-13 N
 * b) 1.171E-13 N
 * c) 1.288E-13 N
 * d) 1.417E-13 N
 * e) 1.558E-13 N

179) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=2\times 10^{-7}\text{m}$$. What is the magnitude of the net force on $$q_2$$ if $$q_1=1e$$, $$q_2=-8e$$, and $$q_3=3e$$?


 * a) 5.243E-14 N
 * b) 5.768E-14 N
 * c) 6.344E-14 N
 * d) 6.979E-14 N
 * e) 7.677E-14 N

180) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) $$\varepsilon_0 E=   \rho z $$
 * b) $$\varepsilon_0 E = H\rho /2$$
 * c) $$\varepsilon_0 E=  H\rho z$$
 * d) $$\varepsilon_0 E=  H\rho $$
 * e) none of these are correct

181) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 1.2 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.8 m from the center of the shells?


 * a) 1.096E+00 N/C
 * b) 1.206E+00 N/C
 * c) 1.327E+00 N/C
 * d) 1.459E+00 N/C
 * e) 1.605E+00 N/C

182) In an LC circuit, the self-inductance is 0.0424 H and the capacitance is 7.790E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.230E-05 C. How long does it take for the capacitor to become completely discharged?


 * a) 6.166E-04 s
 * b) 6.783E-04 s
 * c) 7.461E-04 s
 * d) 8.207E-04 s
 * e) 9.028E-04 s

183) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?


 * a) 0.44 J.
 * b) 0.51 J.
 * c) 0.58 J.
 * d) 0.67 J.
 * e) 0.77 J.

184) A 195 Watt DC motor draws 0.49 amps of current. What is effective resistance?


 * a) 8.12 x 102 &Omega;
 * b) 9.84 x 102 &Omega;
 * c) 1.19 x 103 &Omega;
 * d) 1.44 x 103 &Omega;
 * e) 1.75 x 103 &Omega;

185) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * a) 22 + (9-s)2
 * b) 72 + (2-s)2
 * c) 92 + (7-s)2
 * d) 22 + (7-s)2
 * e) 92 + (2-s)2

186) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal F=$$:
 * a) 2/3
 * b) 3
 * c) 3/2
 * d) 1/2
 * e) 2

187) How fast is a 2648 eV electron moving?


 * a) 3.1 x 107 m/s.
 * b) 4.6 x 107 m/s.
 * c) 6.9 x 107 m/s.
 * d) 1 x 108 m/s.
 * e) 1.5 x 108 m/s.

188) The diameter of a copper wire is 1.9 mm, and it carries a current of 33 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m3 and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)


 * a) 5.93 x 10-4m/s
 * b) 7.19 x 10-4m/s
 * c) 8.71 x 10-4m/s
 * d) 1.06 x 10-3m/s
 * e) 1.28 x 10-3m/s

189) A parallel plate capacitor with a capicatnce C=3.20E-06 F whose plates have an area A=2.80E+03 m2 and separation d=7.80E-03 m is connected via a swith to a 17 &Omega; resistor and a battery of voltage V0=94 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=2.20E-04?


 * a) 8.809E-02 A
 * b) 9.690E-02 A
 * c) 1.066E-01 A
 * d) 1.173E-01 A
 * e) 1.290E-01 A

190) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC and only twoimpedances are involved,  Q=&equiv;&omega;0L/R is definedso that Q is large if the resistance is low.  Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V0sin(&omega;t), where V0=5 V. The resistance, inductance, and capacitance are R =0.17 &Omega;, L= 4.40E-03H, and C=3.40E-06 F, respectively.


 * a) Q = 1.391E+02
 * b) Q = 1.600E+02
 * c) Q = 1.840E+02
 * d) Q = 2.116E+02
 * e) Q = 2.434E+02

191) Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * a) how a nearsighted person might see an object that is too close for comfort
 * b) how a nearsighted person might see a distant object
 * c) how a farsighted person might see a distant object
 * d) how a farsighted person might see an object that is too close for comfort

192) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * a) (7-s)2 + 82
 * b) 72 + (3&minus;s)2
 * c) 72 + 82
 * d) 72 + (8&minus;s)2
 * e) 32 + 82

193) A very long and thin solenoid has 2376 turns and is 156 meters long. The wire carrys a current of 7.6A. If this solenoid is sufficiently thin, what is the line integral of$$\int \vec H\cdot\vec{d\ell}$$ along an on-axis path that starts 49 meters from the center and stops 102 meters from the center?


 * a) 2.32E+03 A
 * b) 2.55E+03 A
 * c) 2.79E+03 A
 * d) 3.06E+03 A
 * e) 3.36E+03 A

194) A resistor has 10 volts across it and 4 amps going through it. What is its resistance?
 * a) $$3.5\Omega.$$
 * b) None of these are true.
 * c) $$2.5\Omega.$$
 * d) $$4.5\Omega.$$

195) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * a) stays the same
 * b) increases by 2 eV
 * c) increases by 4 eV
 * d) decreases by 2 eV
 * e) decreases by 4 eV

196) A 97 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.753 T. What current is required to maintain this balance?


 * a) 7.056E-02 A
 * b) 7.762E-02 A
 * c) 8.538E-02 A
 * d) 9.392E-02 A
 * e) 1.033E-01 A

197) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H$$ at a distance of 6.1m from a wire carrying a current of 5.8A?


 * a) 1.38E-01 A/m
 * b) 1.51E-01 A/m
 * c) 1.66E-01 A/m
 * d) 1.82E-01 A/m
 * e) 1.99E-01 A/m

198) What angle does the electric field at the origin make with the x-axis if a 2.9 nC charge is placed at x = -6.3 m, and a 2.1  nC charge is placed at y = -8.8 m?


 * a) 1.32 x 101degrees
 * b) 1.53 x 101degrees
 * c) 1.76 x 101degrees
 * d) 2.04 x 101degrees
 * e) 2.35 x 101degrees

199) Three wires sit at the corners of a square of length 0.591 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (2.47 A, 2.1 A, 2.24 A), respectively. What is the y-component of the magnetic field at point P?


 * a) By= 1.191E-04 T
 * b) By= 1.310E-04 T
 * c) By= 1.441E-04 T
 * d) By= 1.585E-04 T
 * e) By= 1.744E-04 T

200) A cylinder of height 2.94 cm and radius 5.05 cm is cut into a wedge as shown. Now imagine that the volume grows as &theta; increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 2.37 cm from point O and moves at a speed of 7.29 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.) --(Answer & Why this question is different.)


 * a) 1.153E+02 cm3/s
 * b) 1.268E+02 cm3/s
 * c) 1.395E+02 cm3/s
 * d) 1.535E+02 cm3/s
 * e) 1.688E+02 cm3/s

201) If you play the solitaire game 6 times, you will on average win ___ times.
 * a) 4
 * b) 2
 * c) 3
 * d) 5
 * e) 6

202) What voltage is required accelerate an electron at rest to a speed of 1.5 x 103 m/s?


 * a) 1.9 x 10-6 volts
 * b) 2.8 x 10-6 volts
 * c) 4.3 x 10-6 volts
 * d) 6.4 x 10-6 volts
 * e) 9.6 x 10-6 volts

203) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.24+1.11z)\rho^3\hat\rho +8.16z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\oint\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the entire surface of the cylinder.


 * a) 4.69E+03
 * b) 5.69E+03
 * c) 6.89E+03
 * d) 8.35E+03
 * e) 1.01E+04

204) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * a) K and K&clubs;
 * b) two of these are true
 * c) K&spades; and K&clubs;
 * d) K and K&spades;
 * e) none of these are true

205) A cyclotron used to accelerate alpha particlesm=6.64 x 10&minus;27kg, q=3.2 x 10&minus;19C) has a radius of 0.413 m and a magneticfield of 0.988 T. What is their maximum kinetic energy?


 * a) 6.029E+00 MeV
 * b) 6.631E+00 MeV
 * c) 7.295E+00 MeV
 * d) 8.024E+00 MeV
 * e) 8.827E+00 MeV

206) A battery with a terminal voltage of 10.7 V is connected to a circuit consisting of 2 24.5 &Omega; resistors and one 15.2 &Omega; resistor. What is the voltage drop across the 15.2 &Omega; resistor?


 * a) 1.730E+00 V
 * b) 1.903E+00 V
 * c) 2.094E+00 V
 * d) 2.303E+00 V
 * e) 2.533E+00 V

207) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 2/5
 * b) 2/4=1/2
 * c) 3/5
 * d) 3/4
 * e) 5/6

208) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 2
 * b) 2 &minus; s
 * c) s &minus; 9
 * d) 9 &minus; s
 * e) s &minus; 2

209) When light passes from glass to air
 * a) it bends away from the normal
 * b) the frequency increases
 * c) it bends towards the normal
 * d) it does not bend
 * e) the frequency decreases

210) H is defined by, B=&mu;0H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,6.4) to the point (6.4,0).


 * a) 2.10E+01 amps
 * b) 2.30E+01 amps
 * c) 2.52E+01 amps
 * d) 2.77E+01 amps
 * e) 3.03E+01 amps

211) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * a) 1/2
 * b) 3/4
 * c) 1
 * d) 1/4
 * e) 0

212) An RLC series combination is driven with an applied voltage of of V=V0sin(&omega;t), where V0=0.31 V. The resistance, inductance, and capacitance are R =5 &Omega;, L= 9.00E-03H, and C=5.10E-04 F, respectively. What is the amplitude of the current?


 * a) 4.235E-02 A
 * b) 4.658E-02 A
 * c) 5.124E-02 A
 * d) 5.636E-02 A
 * e) 6.200E-02 A

213) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H_y$$ at the point (9.3623,2.8961) if a current of 6.9A flows through a wire that runs along the z axis?


 * a) 8.90E-02 A/m
 * b) 9.76E-02 A/m
 * c) 1.07E-01 A/m
 * d) 1.17E-01 A/m
 * e) 1.29E-01 A/m

214) The current through the windings of a solenoid with n= 2.060E+03 turns per meter is changing at a rate dI/dt=12 A/s. The solenoid is 68 cm long and has a cross-sectional diameter of 2.96 cm.  A small coil consisting of N=29turns wraped in a circle of diameter 1.74 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil.  What is the emf induced in the coil?


 * a) 1.463E-04 V
 * b) 1.609E-04 V
 * c) 1.770E-04 V
 * d) 1.947E-04 V
 * e) 2.142E-04 V

215) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and  P2 where the polar coordinates (r,&phi;) of  P1 are  (9 cm, 0&deg;) and  P2 is at (16 cm, 71&deg;).


 * a) 1.969E+02 V
 * b) 2.166E+02 V
 * c) 2.383E+02 V
 * d) 2.621E+02 V
 * e) 2.884E+02 V

216) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * a) 1/8
 * b) 3/32
 * c) 3/16
 * d) 1/32
 * e) 1/16

217) A circlular capactitor of radius 4.5 m has a gap of 18 mm, and a charge of 92 &mu;C.  Compute the surface integral  $$c^{-2}\oint\vec E\cdot d\vec A$$ over an inner face of the capacitor.


 * a) 7.88E-11 Vs2m-1
 * b) 9.54E-11 Vs2m-1
 * c) 1.16E-10 Vs2m-1
 * d) 1.40E-10 Vs2m-1
 * e) 1.70E-10 Vs2m-1

218) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?
 * a) 25 Joules
 * b) 5 Joules
 * c) 3 Joules
 * d) None of these are true

219) Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is  opened as as S2 is closed.  How long will it take for the energy stored in the inductor to be reduced to 2.54% of its maximum value if &epsilon; = 2.46 V, R = 2.8 &Omega;, and L = 5.67 H?


 * a) -2.540E+00 s
 * b) -2.794E+00 s
 * c) -3.073E+00 s
 * d) -3.381E+00 s
 * e) -3.719E+00 s

220) A square coil has sides that are L= 0.325 m long and is tightly wound with N=697 turns of wire. The resistance of the coil is R=4.87 &Omega;. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0842 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?


 * a) 1.157E+00 A
 * b) 1.273E+00 A
 * c) 1.400E+00 A
 * d) 1.540E+00 A
 * e) 1.694E+00 A

221) A spatially uniform magnetic points in the z-direction and oscilates with time as $$\vec B(t) = B_0\sin\omega t $$ where $$B_0=$$2.25 T and $$\omega=$$8.280E+03 s&minus;1. Suppose the electric field is always zero at point $$\mathcal O$$, and consider a circle of radius 0.227 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral $$\oint \vec B\cdot d\vec s$$ around the circle.


 * a) 2.657E+04 V
 * b) 2.923E+04 V
 * c) 3.215E+04 V
 * d) 3.537E+04 V
 * e) 3.890E+04 V

222) An ac generator produces an emf of amplitude 50 V at a frequency of 47 Hz. What is the maximum amplitude of the current if the generator is connected to a  88 mF capacitor?


 * a) 1.074E+00 A
 * b) 1.181E+00 A
 * c) 1.299E+00 A
 * d) 1.429E+00 A
 * e) 1.572E+00 A

223) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=4, y=0), (x=0, y=3), and (x=4, y=3), where x and y are measured in meters. The electric field is, $$\vec E=2y^{2.7}\hat i +2x^{2.9}\hat j +2y^{2.0}\hat k$$


 * a) 7.200E+01 V&middot;m
 * b) 7.920E+01 V&middot;m
 * c) 8.712E+01 V&middot;m
 * d) 9.583E+01 V&middot;m
 * e) 1.054E+02 V&middot;m

224) A 41 kW radio transmitter on Earth sends it signal to a satellite 160 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 85 kW?


 * a) 2.094E+02 km
 * b) 2.304E+02 km
 * c) 2.534E+02 km
 * d) 2.788E+02 km
 * e) 3.066E+02 km

225) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at  (x,y) =( 3a, 5a) is &beta;kQ/a2, where &beta; equals


 * a) 1.08 x 10-3 unit
 * b) 1.31 x 10-3 unit
 * c) 1.59 x 10-3 unit
 * d) 1.93 x 10-3 unit
 * e) 2.34 x 10-3 unit

226) A battery has an emf of 5.5 volts, and an internal resistance of 296 $$k\Omega$$. It is connected to a 3.3 $$M\Omega$$ resistor.  What power is developed in the 3.3  $$M\Omega$$ resistor?


 * a) 7.72 $$\mu$$W.
 * b) 8.88 $$\mu$$W.
 * c) 10.21 $$\mu$$W.
 * d) 11.74 $$\mu$$W.
 * e) 13.5 $$\mu$$W.

227) In the circuit shown V=15.8 V, R1=1.86 &Omega;, R2=7.66 &Omega;, and R3=12.9 &Omega;. What is the power dissipated by R2?


 * a) 1.157E+01 W
 * b) 1.273E+01 W
 * c) 1.400E+01 W
 * d) 1.540E+01 W
 * e) 1.694E+01 W

228) If this represents the eye looking at an object, where is this object?
 * a) very far away
 * b) at infinity
 * c) directly in front of the eye (almost touching)
 * d) One focal length in front of the eye
 * e) Two (of the other answers) are true

229) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?


 * a) 7.000E+01 N/C
 * b) 7.701E+01 N/C
 * c) 8.471E+01 N/C
 * d) 9.318E+01 N/C
 * e) 1.025E+02 N/C

230) What is the magnitude of the electric field at the origin if a 1.7 nC charge is placed at x = 6.4 m, and a 3 nC charge is placed at y = 8 m?


 * a) 4.22 x 10-1N/C
 * b) 4.87 x 10-1N/C
 * c) 5.63 x 10-1N/C
 * d) 6.5 x 10-1N/C
 * e) 7.51 x 10-1N/C

231) This figure is associated with
 * a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * d) Evidence presented in 1800 that light is a wave.
 * e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

232) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{6}{10}\Omega$$.
 * b) $$\frac{7}{10}\Omega$$.
 * c) $$\frac{10}{7}\Omega$$.
 * d) $$\frac{10}{6}\Omega$$.

233) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.33 kA, I2=0.741 kA, and I3=2.21 kA, take the $$\omega$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * a) 3.261E-03 T-m
 * b) 3.587E-03 T-m
 * c) 3.945E-03 T-m
 * d) 4.340E-03 T-m
 * e) 4.774E-03 T-m

234) An induced emf of 7.87V is measured across a coil of 66 closely wound turns while the current throuth it increases uniformly from 0.0 to 7.05A in 0.781s. What is the self-inductance of the coil?


 * a) 7.926E-01 H
 * b) 8.718E-01 H
 * c) 9.590E-01 H
 * d) 1.055E+00 H
 * e) 1.160E+00 H

235) What is the radiation force on an object that is 4.70E+11 m away from the sun and has cross-sectional area of 0.015 m2? The average power output of the Sun is 3.80E+26 W.


 * a) 1.029E-08 N
 * b) 1.132E-08 N
 * c) 1.245E-08 N
 * d) 1.370E-08 N
 * e) 1.507E-08 N

236) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=5.2 m, z=z0=1.6 m, and z=z1=4.7 m. The surfaces in the yz plane each have area 11.0m2. Those in the xy plane have area 4.7m2 ,and those in the zx plane have area 4.0m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 43&deg; above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 2.214E+01 N&middot;m2/C
 * b) 2.436E+01 N&middot;m2/C
 * c) 2.679E+01 N&middot;m2/C
 * d) 2.947E+01 N&middot;m2/C
 * e) 3.242E+01 N&middot;m2/C

237) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.24+1.11z)\rho^3\hat\rho +8.16z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{top}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the top surface of the cylinder.


 * a) 2.769E+03
 * b) 3.354E+03
 * c) 4.064E+03
 * d) 4.923E+03
 * e) 5.965E+03

238) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for $$r<a$$ is, $$B_\theta (r)=\left( \frac{2r}{a} - \frac{r^2}{a^2}\right)B_{max}$$, where $$B_{max}$$ is the maximum magnetic field (at $$r=a$$).  If $$a=$$ 0.619 m and $$B_{max}=\,$$ 0.215 T, then how much current (in the z-direction) flows through a circle of radius $$r=$$ 0.351 m that is centered on the axis with its plane perpendicular to the axis?


 * a) 2.534E+05 A
 * b) 2.787E+05 A
 * c) 3.066E+05 A
 * d) 3.373E+05 A
 * e) 3.710E+05 A

239) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the force between the plates if they are 0.6 mm apart?


 * a) 2381 N.
 * b) 2738 N.
 * c) 3149 N.
 * d) 3621 N.
 * e) 4164 N.

240) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$\sqrt 2$$ what is the length of each side?
 * a) $$1$$
 * b) $$\sqrt 2$$
 * c) $$\tfrac 1 2$$
 * d) $$\tfrac 1 \sqrt 2$$
 * e) $$2\sqrt 2$$

241) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=62 V is x2 + y2 + z2 = R2, where R=


 * a) 2.277E+00 m
 * b) 2.505E+00 m
 * c) 2.755E+00 m
 * d) 3.031E+00 m
 * e) 3.334E+00 m

242) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 16 turns per centimeter and the current applied to the solenoid is 536 mA, the net magnetic field is measured to be 1.47 T. What is the magnetic susceptibility for this case?


 * a) $$\chi \text{ (chi) }=$$ 9.310E+02
 * b) $$\chi \text{ (chi) }=$$ 1.024E+03
 * c) $$\chi \text{ (chi) }=$$ 1.126E+03
 * d) $$\chi \text{ (chi) }=$$ 1.239E+03
 * e) $$\chi \text{ (chi) }=$$ 1.363E+03

243) Two large parallel conducting plates are separated by 7.42 mm. Equal and opposite surface charges of 7.760E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * a) 3.979E-01 mm
 * b) 4.576E-01 mm
 * c) 5.263E-01 mm
 * d) 6.052E-01 mm
 * e) 6.960E-01 mm

244) What is the average current involved when a truck battery sets in motion 537 C of charge in 5.08 s while starting an engine?


 * a) 8.736E+01 A
 * b) 9.610E+01 A
 * c) 1.057E+02 A
 * d) 1.163E+02 A
 * e) 1.279E+02 A

245) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) circular or linear
 * b) linear or elliptical
 * c) circular
 * d) circular or elliptical
 * e) linearly

246) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?
 * a) 8W
 * b) 24W
 * c) 2.2W
 * d) 3W

247) The resistances in the figure shown are R1= 2.41 &Omega;, R2= 1.74 &Omega;, and R2= 3.35 &Omega;. V1 and V3 are text 0.508 V and 1.36 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.595 V. What is the absolute value of the current through R1?


 * a) 1.203E-01 A
 * b) 1.324E-01 A
 * c) 1.456E-01 A
 * d) 1.602E-01 A
 * e) 1.762E-01 A

248) A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.57 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.59 cm, y=1.78 cm)? Note that following the textbook's example, the y-value of the field point at 1.78 cm matches the disance of the positive charge above the x-axis.


 * a) 2.727E+02 V
 * b) 2.999E+02 V
 * c) 3.299E+02 V
 * d) 3.629E+02 V
 * e) 3.992E+02 V

249) A wire carries a current of 193 A in a circular arc with radius 3.13 cm swept through 40 degrees. Assuming that the rest of the current is 100% shielded by  mu-metal, what is the magnetic field at the center of the arc?


 * a) 1.285E+00 Tesla
 * b) 1.413E+00 Tesla
 * c) 1.554E+00 Tesla
 * d) 1.710E+00 Tesla
 * e) 1.881E+00 Tesla

250) A non-conducting sphere of radius R=3.8 m has a non-uniform charge density that varies with the distnce from its center as given by &rho;(r)=ar1.7 (r&le;R) where a=3 nC&middot;m-1.3. What is the magnitude of the electric field at a distance of 3.1 m from the center?


 * a) 1.390E+03 N/C
 * b) 1.530E+03 N/C
 * c) 1.682E+03 N/C
 * d) 1.851E+03 N/C
 * e) 2.036E+03 N/C

251) Two resistors are in parallel with a voltage source. How do their voltages compare?
 * a) The voltage across both resistors is half the voltage of the source.
 * b) The voltage across both resistors is the same as the source.
 * c) One has full voltage, the other has none.
 * d) None of these are true.

252) Two sources of emf &epsilon;1=27.1 V, and  &epsilon;2=8.04 V are oriented as shownin the circuit. The resistances are R1=2.94 k&Omega; and  R2=1.61 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.87 mA and I4=0.57 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 8.482E+00 V
 * b) 9.330E+00 V
 * c) 1.026E+01 V
 * d) 1.129E+01 V
 * e) 1.242E+01 V

253) Mr. Smith is gazing at something as shown in the figure to the left.  Suppose he does not refocus, but attempts to stare at the star shown in the figures below.  Which diagram depicts how the rays from the star would travel if he does not refocus?
 * a) Ray drawing eye schematic02.svg
 * b) Ray_drawing_eye_schematic_alternate.svg
 * c) Ray drawing eye Wrong Answer.svg

254) Calculate the final speed of a free electron accelerated from rest through a potential difference of 16 V.


 * a) 2.157E+06 m/s
 * b) 2.372E+06 m/s
 * c) 2.610E+06 m/s
 * d) 2.871E+06 m/s
 * e) 3.158E+06 m/s

255) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.549 m. The magnetic field is spatially uniform but decays in time according to $$(2.97)e^{-\alpha t}$$, where $$\alpha=$$7.0 s. What is the current in the coil if the impedance of the coil is 46.7 &Omega;?


 * a) 2.032E-01 A
 * b) 2.235E-01 A
 * c) 2.458E-01 A
 * d) 2.704E-01 A
 * e) 2.975E-01 A

256) A recangular coil with an area of 0.157 m2 and 17 turns is placed in a uniform magnetic field of 3.64 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 5.890E+03 s&minus;1.  What is the magnitude (absolute value) of the induced emf at t = 9 s?


 * a) 4.464E+04 V
 * b) 4.911E+04 V
 * c) 5.402E+04 V
 * d) 5.942E+04 V
 * e) 6.536E+04 V

257) The charge passing a plane intersecting a wire is $$Q_M=\left(1-e^{t/\tau}\right)$$, where $$Q_M$$=97 C  and $$\tau=$$0.0132 s. What is the current at $$t=$$0.0225 s?


 * a) 1.336E+03 A
 * b) 1.470E+03 A
 * c) 1.617E+03 A
 * d) 1.779E+03 A
 * e) 1.957E+03 A

258) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is  1.53mm.  Applied to the plates is a potential difference of 2.55 kV.  What is the capacitance?


 * a) 8.39 nF.
 * b) 9.65 nF.
 * c) 11.1 nF.
 * d) 12.76 nF.
 * e) 14.68 nF.

259) An important principle that allows fiber optics to work is
 * a) total external refraction
 * b) the invariance of the speed of light
 * c) the Doppler shift
 * d) partial internal absorption
 * e) total internal reflection

260) A circlular capactitor of radius 4.9 m has a gap of 14 mm, and a charge of 56 &mu;C.  The capacitor is discharged through a  6 k&Omega; resistor.  What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)


 * a) 3.18E-09 Tesla
 * b) 4.00E-09 Tesla
 * c) 5.04E-09 Tesla
 * d) 6.34E-09 Tesla
 * e) 7.99E-09 Tesla

261) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.842E+01 W
 * b) 2.026E+01 W
 * c) 2.228E+01 W
 * d) 2.451E+01 W
 * e) 2.696E+01 W

ALL A2
1) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm.  What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?


 * a) 5.14 x 10-5 Volts
 * b) 1.62 x 10-4 Volts
 * c) 5.14 x 10-4 Volts
 * d) 1.62 x 10-3 Volts
 * e) 5.14 x 10-3 Volts

2) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 2/4=1/2
 * b) 3/4
 * c) 2/5
 * d) 3/5
 * e) 5/6

3) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.72 kA, I2=2.17 kA, and I3=3.21 kA, take the $$\omega$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * a) 3.905E-03 T-m
 * b) 4.295E-03 T-m
 * c) 4.725E-03 T-m
 * d) 5.197E-03 T-m
 * e) 5.717E-03 T-m

4) The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one?
 * a) $$V_{small-Resistor} = 5V$$ and $$V_{Big-Resistor} = 5V$$.
 * b) None of these are true.
 * c) $$V_{Big-Resistor} = 6.67V$$ and $$V_{small-Resistor} = 3.33V$$.
 * d) $$V_{Big-Resistor} = 3.33V$$ and$$V_{small-Resistor} = 6.67V$$.

5) A photon is polarized at 10&deg; when it encounters a filter oriented at 40&deg;. What is the probability that it is blocked?
 * a) 1/4
 * b) 1/2
 * c) 1
 * d) 0
 * e) 3/4

6) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=6\times 10^{-7}\text{m}$$.what angle does the force on $$q_2$$ make above the $$-x$$ axis if $$q_1=3e$$, $$q_2=-7e$$, and $$q_3=6e$$?


 * a) 6.343E+01 degrees
 * b) 6.978E+01 degrees
 * c) 7.676E+01 degrees
 * d) 8.443E+01 degrees
 * e) 9.288E+01 degrees

7) The current through the windings of a solenoid with n= 2.460E+03 turns per meter is changing at a rate dI/dt=7 A/s. The solenoid is 87 cm long and has a cross-sectional diameter of 3.32 cm.  A small coil consisting of N=38turns wraped in a circle of diameter 1.29 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil.  What is the emf induced in the coil?


 * a) 7.340E-05 V
 * b) 8.075E-05 V
 * c) 8.882E-05 V
 * d) 9.770E-05 V
 * e) 1.075E-04 V

8) How fast is a 2952 eV electron moving?


 * a) 6.4 x 106 m/s.
 * b) 9.5 x 106 m/s.
 * c) 1.4 x 107 m/s.
 * d) 2.1 x 107 m/s.
 * e) 3.2 x 107 m/s.

9) A Van de Graff generator has a 85 cm diameter metal sphere that produces 235 kV near its surface. What  is the excess charge on the sphere?


 * a) 9.184E+00 &mu;C
 * b) 1.010E+01 &mu;C
 * c) 1.111E+01 &mu;C
 * d) 1.222E+01 &mu;C
 * e) 1.345E+01 &mu;C

10) A proton is accellerated (at rest) from a plate held at 588.2 volts to a plate at zero volts. What is the final speed?


 * a) 6.6 x 104 m/s.
 * b) 10 x 104 m/s.
 * c) 1.5 x 105 m/s.
 * d) 2.2 x 105 m/s.
 * e) 3.4 x 105 m/s.

11) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for $$r<a$$ is, $$B_\theta (r)=\left( \frac{2r}{a} - \frac{r^2}{a^2}\right)B_{max}$$, where $$B_{max}$$ is the maximum magnetic field (at $$r=a$$).  If $$a=$$ 0.353 m and $$B_{max}=\,$$ 0.697 T, then how much current (in the z-direction) flows through a circle of radius $$r=$$ 0.196 m that is centered on the axis with its plane perpendicular to the axis?


 * a) 5.479E+05 A
 * b) 6.027E+05 A
 * c) 6.630E+05 A
 * d) 7.293E+05 A
 * e) 8.022E+05 A

12) What is the average current involved when a truck battery sets in motion 659 C of charge in 5.48 s while starting an engine?


 * a) 8.214E+01 A
 * b) 9.035E+01 A
 * c) 9.938E+01 A
 * d) 1.093E+02 A
 * e) 1.203E+02 A

13) Two resistors are in parallel with a voltage source. How do their voltages compare?
 * a) The voltage across both resistors is half the voltage of the source.
 * b) The voltage across both resistors is the same as the source.
 * c) One has full voltage, the other has none.
 * d) None of these are true.

14) A recangular coil with an area of 0.291 m2 and 6 turns is placed in a uniform magnetic field of 2.63 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 7.130E+03 s&minus;1.  What is the magnitude (absolute value) of the induced emf at t = 35 s?


 * a) 1.490E+04 V
 * b) 1.639E+04 V
 * c) 1.803E+04 V
 * d) 1.983E+04 V
 * e) 2.181E+04 V

15) Two orbiting satellites are orbiting at a speed of 83 km/s perpendicular to a magnetic field of 57 &mu;T. They are connected by a cable that is 23 km long.  A voltmeter is attached between a satellite and one end of the cable.  The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit.  What is the measured voltage?


 * a) 8.98 x 104 volts.
 * b) 1.09 x 105 volts.
 * c) 1.32 x 105 volts.
 * d) 1.6 x 105 volts.
 * e) 1.93 x 105 volts.

16) Calculate the motional emf induced along a 11.9 km conductor moving at an orbital speed of 7.8 km/s perpendicular to Earth's 4.870E-05 Tesla magnetic field.


 * a) 3.736E+03 V
 * b) 4.109E+03 V
 * c) 4.520E+03 V
 * d) 4.972E+03 V
 * e) 5.470E+03 V

17) A 6 C charge is separated from a 13 C charge by distance of 8 cm.  What is the work done by increasing this separation to 16 cm?


 * a) 3.292E-06 J
 * b) 3.621E-06 J
 * c) 3.983E-06 J
 * d) 4.381E-06 J
 * e) 4.820E-06 J

18) H is defined by, B=&mu;0H, where B is magnetic field. A current of 36A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from  ( -&infin; ,8.3) to (+ &infin; ,8.3).


 * a) 1.50E+01 amps
 * b) 1.64E+01 amps
 * c) 1.80E+01 amps
 * d) 1.97E+01 amps
 * e) 2.16E+01 amps

19) A long solenoid has a length 0.777 meters, radius 3.45 cm, and 557 turns. It surrounds  coil of radius 6.01 meters and 10turns.  If the current in the solenoid is changing at a rate of 184 A/s, what is the emf induced in the surounding coil?


 * a) 1.463E-02 V
 * b) 1.609E-02 V
 * c) 1.770E-02 V
 * d) 1.947E-02 V
 * e) 2.142E-02 V

20) In the figure shown C1=21.1 &mu;F, C2=2.69 &mu;F, and C3=4.78 &mu;F. The voltage source provides &epsilon;=12.8 V. What is the energy stored in C2?


 * a) 2.102E+01 &mu;J
 * b) 2.312E+01 &mu;J
 * c) 2.543E+01 &mu;J
 * d) 2.797E+01 &mu;J
 * e) 3.077E+01 &mu;J

21) If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope?
 * a) Power.
 * b) Resistance.
 * c) Discriminant.
 * d) None of these are true.

22) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?


 * a) 1473 N.
 * b) 1694 N.
 * c) 1948 N.
 * d) 2241 N.
 * e) 2577 N.

23) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * a) 1/32
 * b) 1/16
 * c) 3/16
 * d) 3/32
 * e) 1/8

24) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * a) 72 + (2-s)2
 * b) 22 + (7-s)2
 * c) 92 + (7-s)2
 * d) 22 + (9-s)2
 * e) 92 + (2-s)2

25) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at  (x,y) =( 1.1a, 1.2a) is &beta;kQ/a2, where &beta; equals


 * a) 3.47 x 10-1 unit
 * b) 4.2 x 10-1 unit
 * c) 5.09 x 10-1 unit
 * d) 6.17 x 10-1 unit
 * e) 7.47 x 10-1 unit

26) In optics, normal means
 * a) parallel to the surface
 * b) perpendicular to the surface
 * c) to the left of the optical axis
 * d) to the right of the optical axis

27) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 &Omega;, L= 9.10E-03H, and C=8.80E-06 F, what is the rms power transferred to the resistor?


 * a) 4.320E-04 Watts
 * b) 4.752E-04 Watts
 * c) 5.227E-04 Watts
 * d) 5.750E-04 Watts
 * e) 6.325E-04 Watts

28) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) circular
 * b) circular or elliptical
 * c) circular or linear
 * d) linearly
 * e) linear or elliptical

29) The law of reflection applies to
 * a) telescopes but not microscopes
 * b) only light in a vacuum
 * c) curved surfaces
 * d) both flat and curved surfaces
 * e) flat surfaces

30) A 4.7 volt battery moves 50 Coulombs of charge in 1.3 hours. What is the power?


 * a) 4.14 x 10-2 W
 * b) 5.02 x 10-2 W
 * c) 6.08 x 10-2 W
 * d) 7.37 x 10-2 W
 * e) 8.93 x 10-2 W

31) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 5&minus;s
 * b) s&minus;1
 * c) s&minus;4
 * d) 1&minus;s
 * e) 5

32) Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is  opened as as S2 is closed.  How long will it take for the energy stored in the inductor to be reduced to 2.23% of its maximum value if &epsilon; = 3.13 V, R = 3.59 &Omega;, and L = 3.38 H?


 * a) -1.345E+00 s
 * b) -1.480E+00 s
 * c) -1.628E+00 s
 * d) -1.790E+00 s
 * e) -1.969E+00 s

33) A cylinder of height 1.3 cm and radius 6.01 cm is cut into a wedge as shown. Now imagine that the volume grows as &theta; increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 3.61 cm from point O and moves at a speed of 2.11 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.) --(Answer & Why this question is different.)


 * a) 1.372E+01 cm3/s
 * b) 1.509E+01 cm3/s
 * c) 1.660E+01 cm3/s
 * d) 1.826E+01 cm3/s
 * e) 2.009E+01 cm3/s

34) The same parallel plate capacitor, with area 1.45 m2, plate separation  1.53mm, and an applied voltage of 2.55 kV.  How much charge is stored?


 * a) 12.23 &mu;C.
 * b) 14.07 &mu;C.
 * c) 16.18 &mu;C.
 * d) 18.61 &mu;C.
 * e) 21.4 &mu;C.

35) The output of an ac generator connected to an RLC series combination has a frequency of 410 Hz and an amplitude of 0.82 V;. If R =7 &Omega;, L= 9.70E-03H, and C=9.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?


 * a) 1.176E+00 &rad;
 * b) 1.293E+00 &rad;
 * c) 1.422E+00 &rad;
 * d) 1.565E+00 &rad;
 * e) 1.721E+00 &rad;

36) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=6\times 10^{-7}\text{m}$$. What is the magnitude of the net force on $$q_2$$ if $$q_1=1e$$, $$q_2=-7e$$, and $$q_3=2e$$?


 * a) 3.426E-15 N
 * b) 3.768E-15 N
 * c) 4.145E-15 N
 * d) 4.560E-15 N
 * e) 5.015E-15 N

37) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?


 * a) 2.36 x 10-3 newtons
 * b) 7.47 x 10-3 newtons
 * c) 2.36 x 10-2 newtons
 * d) 7.47 x 10-2 newtons
 * e) 2.36 x 10-1 newtons

38) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 3&minus;s
 * b) 7&minus;s
 * c) 8
 * d) s&minus;3
 * e) s&minus;7

39) If you play the solitaire game 3 times, you will on average lose ___ times.
 * a) 3
 * b) 4
 * c) 5
 * d) 1
 * e) 2

40) A 5.6 ohm resistor is connected in series to a pair of 7.2 ohm resistors that are in parallel.  What is the net resistance?


 * a) 7 ohms.
 * b) 8 ohms.
 * c) 9.2 ohms.
 * d) 10.6 ohms.
 * e) 12.2 ohms.

41) A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?


 * a) 1.764E+09 N/C2
 * b) 1.941E+09 N/C2
 * c) 2.135E+09 N/C2
 * d) 2.348E+09 N/C2
 * e) 2.583E+09 N/C2

42) A circlular capactitor of radius 3.6 m has a gap of 8 mm, and a charge of 53 &mu;C.  What is the electric field between the plates?


 * a) 6.82E+04 N/C (or V/m)
 * b) 8.27E+04 N/C (or V/m)
 * c) 1.00E+05 N/C (or V/m)
 * d) 1.21E+05 N/C (or V/m)
 * e) 1.47E+05 N/C (or V/m)

43) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?


 * a) 1.141E-05 s
 * b) 1.255E-05 s
 * c) 1.381E-05 s
 * d) 1.519E-05 s
 * e) 1.671E-05 s

44) If you put an infinite number of resistors in parallel, what would the total resistance be?
 * a) It is not possible to connect that Number of Resistors in parallel.
 * b) $$R_{total}$$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.
 * c) None of these are true.
 * d) $$R_{total}$$ would approach 1 as The No. of Resistors In parallel Approaches Infinity

45) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H_y$$ at the point (6.4963,2.0095) if a current of 6.5A flows through a wire that runs along the z axis?


 * a) 1.33E-01 A/m
 * b) 1.45E-01 A/m
 * c) 1.59E-01 A/m
 * d) 1.75E-01 A/m
 * e) 1.92E-01 A/m

46) $$E(z)=\int_{0}^R f(r',z)dr'$$ is an integral that calculates the magnitude of the electric field at a distance $$z$$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk.  The disk's radius is $$R=2.8\text{ m}$$ and the surface charge density is $$\sigma=3\text{ nC/m}^3$$. Evaluate $$f(r',z)$$ at $$r'=1.9\text{ m}$$.


 * a) 4.295E+00 V/m2
 * b) 4.724E+00 V/m2
 * c) 5.196E+00 V/m2
 * d) 5.716E+00 V/m2
 * e) 6.288E+00 V/m2

47) A circlular capactitor of radius 3.2 m has a gap of 19 mm, and a charge of 46 &mu;C.  Compute the surface integral  $$c^{-2}\oint\vec E\cdot d\vec A$$ over an inner face of the capacitor.


 * a) 5.78E-11 Vs2m-1
 * b) 7.00E-11 Vs2m-1
 * c) 8.48E-11 Vs2m-1
 * d) 1.03E-10 Vs2m-1
 * e) 1.25E-10 Vs2m-1

48) This figure is associated with
 * a) Evidence presented in 1800 that light is a wave.
 * b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

49) What is the sum of 3.4 apples plus 62 apples?


 * a) 4.96E+01 apples
 * b) 5.44E+01 apples
 * c) 5.96E+01 apples
 * d) 6.54E+01 apples
 * e) 7.17E+01 apples

50) H is defined by, B=&mu;0H, where B is magnetic field. A current of 42A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,4.2) to the point (4.2,4.2).


 * a) 3.98E+00 amps
 * b) 4.37E+00 amps
 * c) 4.79E+00 amps
 * d) 5.25E+00 amps
 * e) 5.76E+00 amps

51) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 4&minus;s
 * b) 4
 * c) 8&minus;s
 * d) s&minus;8
 * e) s&minus;4

52) If the wavelength &lambda; associated with a photon doubles, the photon's frequency f
 * a) becomes 4 times as big
 * b) is reduced by a factor of 4
 * c) becomes twice as big
 * d) stays the same
 * e) is cut in half

53) A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{7}{11}\Omega$$.
 * b) $$\frac{11}{7}\Omega$$.
 * c) $$\frac{21}{10}\Omega$$.
 * d) $$\frac{10}{21}\Omega$$.

54) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) lose 3 points
 * b) win 1 point
 * c) lose 1 point
 * d) be disqualified for cheating
 * e) win 3 points

55) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?
 * a) The larger object has a greater energy.
 * b) They have the same energy (since the holes are identical).
 * c) The hotter object has a greater energy.
 * d) No unique answer exists because two variables are involved (temperature and volume).

56) An object is placed 10.9 cm to the left of a diverging lens with a focal length of 16.3 cm. On the side, at a distance of 5.7 cm from the diverging lens is a converging lens with focal length equal to 4 cm.  How far is the final image from the converging lens?


 * a) 1.88 x 100 cm
 * b) 5.94 x 100 cm
 * c) 1.88 x 101 cm
 * d) 5.94 x 101 cm
 * e) 1.88 x 102 cm

57) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 4mW
 * b) 3mW
 * c) 9mW
 * d) 6mW
 * e) 8mW

58) A washer has an inner diameter of 2.75 cm and an outer diamter of 4.62 cm. The thickness is $$h=Cr^{-n}$$ where $$r$$ is measured in cm, $$C=3.66mm$$, and $$n=2.61$$. What is the volume of the washer?


 * a) 6.960E-01 cm3
 * b) 7.656E-01 cm3
 * c) 8.421E-01 cm3
 * d) 9.264E-01 cm3
 * e) 1.019E+00 cm3

59) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 9mW
 * b) 3mW
 * c) 8mW
 * d) 6mW
 * e) 4mW

60) Two sources of emf &epsilon;1=46.1 V, and  &epsilon;2=16.2 V are oriented as shownin the circuit. The resistances are R1=5.17 k&Omega; and  R2=2.06 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.97 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.309E+01 V
 * b) 1.440E+01 V
 * c) 1.584E+01 V
 * d) 1.742E+01 V
 * e) 1.917E+01 V

61) Three wires sit at the corners of a square of length 0.834 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (2.26 A, 1.75 A, 2.47 A), respectively. What is the y-component of the magnetic field at point P?


 * a) By= 7.518E-05 T
 * b) By= 8.270E-05 T
 * c) By= 9.097E-05 T
 * d) By= 1.001E-04 T
 * e) By= 1.101E-04 T

62) A circular current loop of radius 1.63 cm carries a current of 2.38 mA. What is the magnitude of the torque if the dipole is oriented at 54 &deg; to a uniform magnetic fied of 0.125 T?


 * a) 2.009E-07 N m
 * b) 2.210E-07 N m
 * c) 2.431E-07 N m
 * d) 2.674E-07 N m
 * e) 2.941E-07 N m

63) This figure is associated with
 * a) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * c) Evidence presented in 1800 that light is a wave.
 * d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

64) A long solenoid has a radius of 0.806 m and 41 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$2 A and $$\alpha=$$21 s&minus;1.What is the induced electric fied at a distance 2.67 m from the axis at time t=0.0701 s ?


 * a) 6.040E-05 V/m
 * b) 6.644E-05 V/m
 * c) 7.309E-05 V/m
 * d) 8.039E-05 V/m
 * e) 8.843E-05 V/m

65) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?
 * a) None of these are true.
 * b) $$R_{Total} = 3\Omega$$.
 * c) $$R_{Total} = 6\Omega$$.
 * d) $$R_{Total} = 0.5454\Omega$$.

66) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 26 turns per centimeter and the current applied to the solenoid is 533 mA, the net magnetic field is measured to be 1.31 T. What is the magnetic susceptibility for this case?


 * a) $$\chi \text{ (chi) }=$$ 7.512E+02
 * b) $$\chi \text{ (chi) }=$$ 8.264E+02
 * c) $$\chi \text{ (chi) }=$$ 9.090E+02
 * d) $$\chi \text{ (chi) }=$$ 9.999E+02
 * e) $$\chi \text{ (chi) }=$$ 1.100E+03

67) A 162 Watt DC motor draws 0.41 amps of current. What is effective resistance?


 * a) 5.42 x 102 &Omega;
 * b) 6.57 x 102 &Omega;
 * c) 7.95 x 102 &Omega;
 * d) 9.64 x 102 &Omega;
 * e) 1.17 x 103 &Omega;

68) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * a) becomes twice as big
 * b) is reduced by a factor of 4
 * c) becomes 4 times as big
 * d) stays the same
 * e) is cut in half

69) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where$$\mathcal F=$$
 * a) 1/2
 * b) 3
 * c) 3/2
 * d) 2

70) An RLC series combination is driven with an applied voltage of of V=V0sin(&omega;t), where V0=0.44 V. The resistance, inductance, and capacitance are R =7 &Omega;, L= 5.40E-03H, and C=5.70E-04 F, respectively. What is the amplitude of the current?


 * a) 4.723E-02 A
 * b) 5.195E-02 A
 * c) 5.714E-02 A
 * d) 6.286E-02 A
 * e) 6.914E-02 A

71) Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * a) how a farsighted person might see a distant object
 * b) how a nearsighted person might see an object that is too close for comfort
 * c) how a nearsighted person might see a distant object
 * d) how a farsighted person might see an object that is too close for comfort

72) What voltage is required to stop a proton moving at a speed of 1.6 x 104 m/s?


 * a) 4 x 10-1 volts
 * b) 5.9 x 10-1 volts
 * c) 8.9 x 10-1 volts
 * d) 1.3 x 100 volts
 * e) 2 x 100 volts

73) A solenoid has 7.690E+04 turns wound around a cylinder of diameter 1.63 cm and length 11 m. The current through the coils is 0.728 A.  Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $$\int\vec B\cdot\vec\ell$$ alongthe axis from z=&minus;2.76 cm to z=+1.99 cm


 * a) 2.762E-04 T-m
 * b) 3.038E-04 T-m
 * c) 3.342E-04 T-m
 * d) 3.676E-04 T-m
 * e) 4.043E-04 T-m

74) A long solenoid has a radius of 0.732 m and 55 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$9 A and $$\alpha=$$25 s&minus;1.What is the induced electric fied at a distance 0.203 m from the axis at time t=0.0448 s ?


 * a) 5.150E-04 V/m
 * b) 5.665E-04 V/m
 * c) 6.232E-04 V/m
 * d) 6.855E-04 V/m
 * e) 7.540E-04 V/m

75) A power supply delivers 110 watts of power to a 299 ohm resistor.  What was the applied voltage?


 * a) 8.42 x 101 volts
 * b) 1.02 x 102 volts
 * c) 1.24 x 102 volts
 * d) 1.5 x 102 volts
 * e) 1.81 x 102 volts

76) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?


 * a) 0.91 J.
 * b) 1.05 J.
 * c) 1.21 J.
 * d) 1.39 J.
 * e) 1.6 J.

77) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal F=$$:
 * a) 2
 * b) 1/2
 * c) 3/2
 * d) 3
 * e) 2/3

78) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?


 * a) 1.57 kV/m.
 * b) 1.8 kV/m.
 * c) 2.07 kV/m.
 * d) 2.38 kV/m.
 * e) 2.74 kV/m.

79) The output of an ac generator connected to an RLC series combination has a frequency of 910 Hz and an amplitude of 0.88 V;. If R =7 &Omega;, L= 6.80E-03H, and C=9.60E-04 F, what is the impedance?


 * a) 3.575E+01 &Omega;
 * b) 3.933E+01 &Omega;
 * c) 4.326E+01 &Omega;
 * d) 4.758E+01 &Omega;
 * e) 5.234E+01 &Omega;

80) If a 20 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=70 V is x2 + y2 + z2 = R2, where R=


 * a) 1.754E+00 m
 * b) 1.929E+00 m
 * c) 2.122E+00 m
 * d) 2.334E+00 m
 * e) 2.568E+00 m

81) A wire carries a current of 338 A in a circular arc with radius 2.62 cm swept through 79 degrees. Assuming that the rest of the current is 100% shielded by  mu-metal, what is the magnetic field at the center of the arc?


 * a) 4.387E+00 Tesla
 * b) 4.826E+00 Tesla
 * c) 5.309E+00 Tesla
 * d) 5.839E+00 Tesla
 * e) 6.423E+00 Tesla

82) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * a) 6mW
 * b) 8mW
 * c) 9mW
 * d) 3mW
 * e) 4mW

83) What is the radiation pressure on an object that is 2.20E+11 m away from the sun and has cross-sectional area of 0.082 m2? The average power output of the Sun is 3.80E+26 W.


 * a) 3.131E-06 N/m2
 * b) 3.445E-06 N/m2
 * c) 3.789E-06 N/m2
 * d) 4.168E-06 N/m2
 * e) 4.585E-06 N/m2

84) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * a) $$\tfrac 1 2$$
 * b) $$\tfrac 3 4$$
 * c) $$\tfrac 1 \sqrt 2$$
 * d) $$\tfrac \sqrt 3 2$$
 * e) $$ \tfrac 1 4$$

85) A 12.0 V battery can move 38,000 C of charge. How many Joules does it deliver?


 * a) 3.115E+05 J
 * b) 3.426E+05 J
 * c) 3.769E+05 J
 * d) 4.145E+05 J
 * e) 4.560E+05 J

86) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * a) 0
 * b) 3/4
 * c) 1/4
 * d) 5/4
 * e) 1
 * f) 1/2

87) Which lens has the shorter focal length?
 * a) Ray drawing eye schematic01.svg
 * b) They have the same focal lengh.
 * c) Ray_drawing_eye_schematic.svg

88) An alpha-particle (m=6.64x10&minus;27kg, q=3.2x10&minus;19C) briefly enters a uniform magnetic field of magnitude 0.0454 T . It emerges after being deflected by 74&deg; from its original direction. How much time did it spend in that magnetic field?


 * a) 4.878E-07 s
 * b) 5.366E-07 s
 * c) 5.903E-07 s
 * d) 6.493E-07 s
 * e) 7.143E-07 s

89) $$E_z(x=0,z)=\int_{-a}^b f(x,z)dx$$ is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m.  Evaluate $$f(x,y)$$ at x=0.79 m if a=0.75 m, b=2.1 m.  The total charge on the rod is 6 nC.


 * a) 5.825E+00 V/m2
 * b) 6.407E+00 V/m2
 * c) 7.048E+00 V/m2
 * d) 7.753E+00 V/m2
 * e) 8.528E+00 V/m2

90) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$
 * a) s&minus;7
 * b) 7&minus;s
 * c) 3
 * d) s&minus;3
 * e) 3&minus;s

91) 3 amps flow through a 1 Ohm resistor. What is the voltage?
 * a) $$1V$$
 * b) $$\frac{1}{3}V$$
 * c) $$3V$$
 * d) None these are correct.

92) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?
 * a) The object with the greater temperature emits more.
 * b) The object with the greater volume.
 * c) No unique answer exists because two variables are involved (temperature and volume).
 * d) They both emit the same number of photons (since the holes are identical).

93) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * a) zero
 * b) greater than 3 eV
 * c) equal to 6 eV
 * d) less than 3 eV
 * e) equal to 3 eV

94) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?
 * a) Voltage is a measure of Electric Potential difference between two electrical points.
 * b) The other point could be Negative or positive.
 * c) It's an Electrical Cliche.
 * d) None these are correct

95) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.
 * a) true
 * b) false

96) A given battery has a 12 V emf and an internal resistance of 0.0984 &Omega;. If it is connected to a 0.485 &Omega; resistor what is the power dissipated by that load?


 * a) 2.052E+02 W
 * b) 2.257E+02 W
 * c) 2.483E+02 W
 * d) 2.731E+02 W
 * e) 3.004E+02 W

97) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?
 * a) None of these are true.
 * b) $$R_1 = 150V$$ and $$R_2 = 100V$$.
 * c) $$R_1 = 250V$$ and $$R_2 = 0V$$.
 * d) $$R_1 = 125V$$ and $$R_2 = 125V$$.

98) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * a) $$2R\varepsilon_0 E=  r^2\rho $$
 * b) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * c) $$2\varepsilon_0 E = r\rho $$
 * d) $$2r\varepsilon_0 E = R^2\rho $$
 * e) none of these are correct

99) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * a) none of these are correct
 * b) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * c) $$2R\varepsilon_0 E=  r^2\rho $$
 * d) $$2\varepsilon_0 E = r\rho $$
 * e) $$2r\varepsilon_0 E = R^2\rho $$

100) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * a) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * b) none of these are correct
 * c) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * d) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * e) $$ r^2\varepsilon_0 E=r^3\rho /2$$

101) Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.)  The charges are q1=3 &mu;C, q2=6 &mu;C, q3=7 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 4.438E+01 J
 * b) 4.882E+01 J
 * c) 5.370E+01 J
 * d) 5.907E+01 J
 * e) 6.498E+01 J

102) Calculate the quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) +1
 * b) 0
 * c) &minus;1/5
 * d) +1/5
 * e) &minus;2/5
 * f) +2/5

103) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.5 m, z=z0=1.7 m, and z=z1=5.1 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 9.9m2 ,and those in the zx plane have area 7.8m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 58&deg; above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 1.698E+01 N&middot;m2/C
 * b) 1.868E+01 N&middot;m2/C
 * c) 2.055E+01 N&middot;m2/C
 * d) 2.260E+01 N&middot;m2/C
 * e) 2.486E+01 N&middot;m2/C

104) An ideal 7.9 V voltage source is connected to two resistors in parallel.  One is 2.4$$k\Omega$$, and the other is 5.2 $$k\Omega$$.  What is the current through the larger resistor?


 * a) 0.68 mA.
 * b) 0.79 mA.
 * c) 0.9 mA.
 * d) 1.04 mA.
 * e) 1.2 mA.

105) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * a) 3/16
 * b) 1/16
 * c) 3/32
 * d) 1/32
 * e) 1/8

106) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) circular or elliptical
 * b) linearly
 * c) linear or elliptical
 * d) circular
 * e) circular or linear

107) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 9 &minus; s
 * b) 2
 * c) s &minus; 2
 * d) 2 &minus; s
 * e) s &minus; 9

108) A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?
 * a) I = 5A &  P = 25W.
 * b) I = 5A &  P = 3W.
 * c) I = 5A &  P = 9W
 * d) I = 5A &  P = 5W.

109) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * a) 1/2
 * b) 0
 * c) 3/4
 * d) 5/4
 * e) 1
 * f) 1/4

110) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * a) 1/4
 * b) 1
 * c) 3/4
 * d) 1/2
 * e) 0

111) The diameter of a copper wire is 1.9 mm, and it carries a current of 33 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m3 and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)


 * a) 5.93 x 10-4m/s
 * b) 7.19 x 10-4m/s
 * c) 8.71 x 10-4m/s
 * d) 1.06 x 10-3m/s
 * e) 1.28 x 10-3m/s

112) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.32 kA, I2=2.0 kA, and I3=3.66 kA, take the $$\beta$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * a) 1.724E-03 T-m
 * b) 1.896E-03 T-m
 * c) 2.086E-03 T-m
 * d) 2.295E-03 T-m
 * e) 2.524E-03 T-m

113) A cylinder of radius, r=3, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.37+2.6z)\rho^2\hat\rho +8.84z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{side}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the curved side surface of the cylinder.


 * a) 7.465E+02
 * b) 9.044E+02
 * c) 1.096E+03
 * d) 1.327E+03
 * e) 1.608E+03

114) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * a) 3/4
 * b) 1/4
 * c) 0
 * d) 1
 * e) 1/2

115) Calculate the electric field in a 12-gauge copper wire that is 26 m long and carries a current of 24 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * a) 9.152E-05 V/m
 * b) 1.007E-04 V/m
 * c) 1.107E-04 V/m
 * d) 1.218E-04 V/m
 * e) 1.340E-04 V/m

116) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.05+2.05z)\rho^2\hat\rho +9.62z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\oint\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the entire surface of the cylinder.


 * a) 1.09E+03
 * b) 1.32E+03
 * c) 1.60E+03
 * d) 1.94E+03
 * e) 2.35E+03

117) A make-believe metal has a density of 2.670E+03 kg/m3 and an atomic mass of 40.9 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.


 * a) 3.930E+28 e&minus;/m3
 * b) 4.323E+28 e&minus;/m3
 * c) 4.755E+28 e&minus;/m3
 * d) 5.231E+28 e&minus;/m3
 * e) 5.754E+28 e&minus;/m3

118) A circlular capactitor of radius 3.6 m has a gap of 19 mm, and a charge of 98 &mu;C.  The capacitor is discharged through a  6 k&Omega; resistor.  What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)


 * a) 1.90E-08 Tesla
 * b) 2.40E-08 Tesla
 * c) 3.02E-08 Tesla
 * d) 3.80E-08 Tesla
 * e) 4.78E-08 Tesla

119) The focal point is where
 * a) rays meet whenever they are forming an image
 * b) rays meet whenever they pass through a lens
 * c) the center of the lens
 * d) rays meet if they are parallel to each other
 * e) rays meet if they were parallel to the optical axis before striking a lens

120) An electron gun has parallel plates separated by 3.68 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.181 &mu;C charge that gets between the plates?


 * a) 2.656E-01 N
 * b) 2.922E-01 N
 * c) 3.214E-01 N
 * d) 3.535E-01 N
 * e) 3.889E-01 N

121) A 727 mF capacitor is connected in series to a 860 M&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)


 * a) 1.88 x 109 s.
 * b) 5.93 x 109 s.
 * c) 1.88 x 1010 s.
 * d) 5.93 x 1010 s.
 * e) 1.88 x 1011 s.

122) When a 7.1 V battery operates a 1.8 W bulb, how many electrons pass through it each second?


 * a) 1.439E+18 electrons
 * b) 1.582E+18 electrons
 * c) 1.741E+18 electrons
 * d) 1.915E+18 electrons
 * e) 2.106E+18 electrons

123) A parallel plate capacitor with a capicatnce C=9.40E-06 F whose plates have an area A=5.00E+03 m2 and separation d=4.70E-03 m is connected via a swith to a 62 &Omega; resistor and a battery of voltage V0=65 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=9.70E-04?


 * a) 1.985E-01 A
 * b) 2.183E-01 A
 * c) 2.401E-01 A
 * d) 2.642E-01 A
 * e) 2.906E-01 A

124) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.706 m. The magnetic field is spatially uniform but decays in time according to $$(3.01)e^{-\alpha t}$$, where $$\alpha=$$9.53 s. What is the current in the coil if the impedance of the coil is 27.4 &Omega;?


 * a) 6.149E-01 A
 * b) 6.763E-01 A
 * c) 7.440E-01 A
 * d) 8.184E-01 A
 * e) 9.002E-01 A

125) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy
 * a) increases by 4 eV
 * b) increases by 2 eV
 * c) decreases by 4 eV
 * d) decreases by 2 eV
 * e) stays the same

126) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * a) 0
 * b) 1/2
 * c) 1
 * d) 1/4
 * e) 3/4

127) A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?
 * a) 3A
 * b) 2A
 * c) 12A
 * d) 1.5A

128) An induced emf of 4.13V is measured across a coil of 70 closely wound turns while the current throuth it increases uniformly from 0.0 to 2.63A in 0.133s. What is the self-inductance of the coil?


 * a) 1.726E-01 H
 * b) 1.899E-01 H
 * c) 2.089E-01 H
 * d) 2.297E-01 H
 * e) 2.527E-01 H

129) A resistor has 10 volts across it and 4 amps going through it. What is its resistance?
 * a) $$4.5\Omega.$$
 * b) $$3.5\Omega.$$
 * c) None of these are true.
 * d) $$2.5\Omega.$$

130) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal A=$$:
 * a) 2
 * b) 1/2
 * c) 8
 * d) 4

131) A parallel plate capacitor with a capicatnce C=9.80E-06 F whose plates have an area A=9.60E+03 m2 and separation d=8.70E-03 m is connected via a swith to a 23 &Omega; resistor and a battery of voltage V0=3 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=7.20E-04?


 * a) 2.877E+00 V
 * b) 3.165E+00 V
 * c) 3.481E+00 V
 * d) 3.829E+00 V
 * e) 4.212E+00 V

132) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal.  To counter the magnetic force, a voltage is applied between two large parallel plates that are 59  mm apart.  What must be the applied voltage if the magnetic field is 45&mu;T?


 * a) 1.1 x 100 volts
 * b) 3.6 x 100 volts
 * c) 1.1 x 101 volts
 * d) 3.6 x 101 volts
 * e) 1.1 x 102 volts

133)  Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * a) how a farsighted person might see a distant object
 * b) how a nearsighted person might see a distant object
 * c) how a farsighted person might see an object that is too close for comfort
 * d) how a nearsighted person might see an object that is too close for comfort

134) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal B=$$
 * a) 3
 * b) &minus;3
 * c) &minus;7
 * d) 2
 * e) &minus;3

135) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * a) $$\tfrac 1 \sqrt 2$$
 * b) $$1$$
 * c) $$\sqrt 2$$
 * d) $$2\sqrt 2$$
 * e) $$\tfrac 1 2$$

136) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 3/4
 * b) 3/5
 * c) 2/4=1/2
 * d) 5/6
 * e) 2/5

137) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=5), and (x=7, y=5), where x and y are measured in meters. The electric field is, $$\vec E=1y^{2.4}\hat i +4x^{1.7}\hat j +4y^{2.1}\hat k$$


 * a) 1.206E+03 V&middot;m
 * b) 1.326E+03 V&middot;m
 * c) 1.459E+03 V&middot;m
 * d) 1.605E+03 V&middot;m
 * e) 1.765E+03 V&middot;m

138) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H$$ at a distance of 4.2m from a wire carrying a current of 4.9A?


 * a) 1.28E-01 A/m
 * b) 1.41E-01 A/m
 * c) 1.54E-01 A/m
 * d) 1.69E-01 A/m
 * e) 1.86E-01 A/m

139) Under most conditions the current is distributed uniformly over the cross section of the wire.  What is the magnetic field 1.51 mm from the center of a wire of radius 5 mm if the current is 1A?


 * a) 1.098E-05 T
 * b) 1.208E-05 T
 * c) 1.329E-05 T
 * d) 1.462E-05 T
 * e) 1.608E-05 T

140) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * a) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * b) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * c) none of these are correct
 * d) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * e) $$ r^2\varepsilon_0 E= r^3\rho/3$$

141) A parallel plate capacitor with a capicatnce C=4.30E-06 F whose plates have an area A=2.80E+03 m2 and separation d=5.70E-03 m is connected via a swith to a 7 &Omega; resistor and a battery of voltage V0=97 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=7.00E-05?


 * a) 1.049E+04 V/m
 * b) 1.154E+04 V/m
 * c) 1.269E+04 V/m
 * d) 1.396E+04 V/m
 * e) 1.535E+04 V/m

142) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73&deg; away from the wire?


 * a) 3.575E+00 N/m
 * b) 3.932E+00 N/m
 * c) 4.325E+00 N/m
 * d) 4.758E+00 N/m
 * e) 5.234E+00 N/m

143) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * a) 1.213E-01 A
 * b) 1.334E-01 A
 * c) 1.468E-01 A
 * d) 1.614E-01 A
 * e) 1.776E-01 A

144) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=   \rho z $$
 * b) $$\varepsilon_0 E=  H\rho $$
 * c) none of these are correct
 * d) $$\varepsilon_0 E = H\rho /2$$
 * e) $$\varepsilon_0 E=  H\rho z$$

145) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) s&minus;1
 * b) 5
 * c) 5&minus;s
 * d) 1&minus;s
 * e) s&minus;4

146) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 6.5 nano-Coulombs. What is the magnitude of the electric field at a distance of 1.3 m from the center of the shells?


 * a) 2.601E+01 N/C
 * b) 2.861E+01 N/C
 * c) 3.147E+01 N/C
 * d) 3.462E+01 N/C
 * e) 3.808E+01 N/C

147) When light passes from glass to air
 * a) it does not bend
 * b) the frequency increases
 * c) it bends towards the normal
 * d) the frequency decreases
 * e) it bends away from the normal

148) What is the net capacitance if C1=3.13 &mu;F, C2=2.28 &mu;F, and C3=2.59 &mu;F in the configuration shown?


 * a) 3.231E+00 &mu;F
 * b) 3.554E+00 &mu;F
 * c) 3.909E+00 &mu;F
 * d) 4.300E+00 &mu;F
 * e) 4.730E+00 &mu;F

149) When light passes from air to glass
 * a) it bends towards the normal
 * b) it bends away from the normal
 * c) it does not bend
 * d) the frequency decreases
 * e) the frequency increases

150) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * a) decreases by 4 eV
 * b) increases by 2 eV
 * c) decreases by 2 eV
 * d) stays the same
 * e) increases by 4 eV

151) Three resistors, R1 = 0.548 &Omega;, and R2 = R2 = 1.24 &Omega;, are connected in parallel to a 7.16 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 7.029E+01 W
 * b) 7.731E+01 W
 * c) 8.505E+01 W
 * d) 9.355E+01 W
 * e) 1.029E+02 W

152) Two 6.2 ohm resistors are connected in parallel.  This combination is then connected in series to a 3.4 ohm resistor.  What is the net resistance?


 * a) 6.5 ohms.
 * b) 7.5 ohms.
 * c) 8.6 ohms.
 * d) 9.9 ohms.
 * e) 11.4 ohms.

153) An ideal 7.5 volt battery is connected to a 0.06 ohm resistor.  To measure the current an ammeter with a resistance of 19$$m\Omega$$ is used.  What current does the ammeter actually read?


 * a) 54.3 A.
 * b) 62.4 A.
 * c) 71.8 A.
 * d) 82.6 A.
 * e) 94.9 A.

154) Two loops of wire carry the same current of 64 kA, and flow in the same direction. They share a common axis and orientation.  One loop has a radius of 0.838 m while the other has a radius of 1.17 m.  What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.528 m from the first (smaller) loopif the disance between the loops is 1.62 m?


 * a) 3.863E-02 T
 * b) 4.249E-02 T
 * c) 4.674E-02 T
 * d) 5.141E-02 T
 * e) 5.655E-02 T

155) Three 1 ohm resistors are connected in parallel. What is the total resistance?
 * a) $$\frac{3}{2}\Omega$$.
 * b) $$ 3\Omega$$.
 * c) $$\frac{1}{3}\Omega$$.
 * d) $$\frac{2}{3}\Omega$$.

156) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it passes?
 * a) 3/4
 * b) 0
 * c) 1/2
 * d) 1
 * e) 1/4

157) An object is placed 8.6 cm to the left of a diverging lens with a focal length of 6.3 cm. How far is the image from the lens?


 * a) 3.64 x 10-1 cm
 * b) 6.47 x 10-1 cm
 * c) 1.15 x 100 cm
 * d) 2.04 x 100 cm
 * e) 3.64 x 100 cm

158) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.


 * a) 1.698E+06 m/s
 * b) 1.868E+06 m/s
 * c) 2.055E+06 m/s
 * d) 2.260E+06 m/s
 * e) 2.486E+06 m/s

159) A device requires consumes 73 W of power and requires 9.14 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.


 * a) 1.187E+06 A/m2
 * b) 1.306E+06 A/m2
 * c) 1.436E+06 A/m2
 * d) 1.580E+06 A/m2
 * e) 1.738E+06 A/m2

160) To create an unpolarized pendulum oscillation
 * a) create an elliptically polarized wave with an &epsilon;>0.2
 * b) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * c) create an elliptically polarized wave with an &epsilon;<0.8
 * d) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations

161) Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.75 &Omega; at a temperature of 24&deg;C and that the temperature coefficient of expansion is 4.300E-03 (&deg;C)&minus;1). What is the resistance at a temperature of 423 &deg;C?


 * a) 1.018E+01 &Omega;
 * b) 1.069E+01 &Omega;
 * c) 1.123E+01 &Omega;
 * d) 1.179E+01 &Omega;
 * e) 1.238E+01 &Omega;

162) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * a) 1/4
 * b) 3/4
 * c) 0
 * d) 1/2
 * e) 1

163) A circlular capactitor of radius 4.3 m has a gap of 13 mm, and a charge of 44 &mu;C.  The capacitor is discharged through a  9 k&Omega; resistor.  What is the decay time?


 * a) 2.00E-04 s
 * b) 2.43E-04 s
 * c) 2.94E-04 s
 * d) 3.56E-04 s
 * e) 4.31E-04 s

164) A 65 &mu;F capacitor is connected in series to a 414 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 1.08 x 101 s.
 * b) 3.4 x 101 s.
 * c) 1.08 x 102 s.
 * d) 3.4 x 102 s.
 * e) 1.08 x 103 s.

165) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) win 1 point
 * b) be disqualified for cheating
 * c) win 3 points
 * d) lose 1 point
 * e) lose 3 points

166) Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =6.45 s if &epsilon; = 7.01 V, R = 7.04 &Omega;, and L = 8.75 H?


 * a) 9.902E-01 V
 * b) 1.188E+00 V
 * c) 1.426E+00 V
 * d) 1.711E+00 V
 * e) 2.053E+00 V

167) What is the current through R1 and R2 in the figure shown?
 * a) $$I_1 = 10A$$ and $$I_2 = 16.67A$$.
 * b) $$I_1 = 1A$$ and $$I_2 = 1.667A$$.
 * c) $$I_1 = 0.1A$$ and $$I_2 = 0.1667A$$.
 * d) $$I_1 = 1A$$ and $$I_2 = 25A$$.

168) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following loses?
 * a) none of these are true
 * b) K and K&spades;
 * c) K&spades; and K&clubs;
 * d) two of these are true
 * e) K and K&clubs;

169) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * a) $$ \tfrac 1 4$$
 * b) $$\tfrac \sqrt 3 2$$
 * c) $$\tfrac 1 2$$
 * d) $$\tfrac 1 \sqrt 2$$
 * e) $$\tfrac 3 4$$

170) A square coil has sides that are L= 0.458 m long and is tightly wound with N=742 turns of wire. The resistance of the coil is R=6.81 &Omega;. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0559 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?


 * a) 1.056E+00 A
 * b) 1.161E+00 A
 * c) 1.278E+00 A
 * d) 1.405E+00 A
 * e) 1.546E+00 A

171) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{7}{10}\Omega$$.
 * b) $$\frac{6}{10}\Omega$$.
 * c) $$\frac{10}{6}\Omega$$.
 * d) $$\frac{10}{7}\Omega$$.

172) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * a) K&spades; and K&clubs;
 * b) K and K&spades;
 * c) K and K&clubs;
 * d) two of these are true
 * e) none of these are true

173) An ac generator produces an emf of amplitude 32 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a  14 mF capacitor?


 * a) 3.378E-01 A
 * b) 3.716E-01 A
 * c) 4.087E-01 A
 * d) 4.496E-01 A
 * e) 4.945E-01 A

174) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 4mW
 * b) 8mW
 * c) 9mW
 * d) 3mW
 * e) 6mW

175) A cyclotron used to accelerate alpha particlesm=6.64 x 10&minus;27kg, q=3.2 x 10&minus;19C) has a radius of 0.388 m and a magneticfield of 1.19 T. What is their maximum kinetic energy?


 * a) 8.491E+00 MeV
 * b) 9.340E+00 MeV
 * c) 1.027E+01 MeV
 * d) 1.130E+01 MeV
 * e) 1.243E+01 MeV

176) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{6}{3}\Omega$$.
 * b) $$\frac{11}{6}\Omega$$.
 * c) $$\frac{6}{11}\Omega$$.
 * d) $$\frac{3}{6}\Omega$$.

177) A photon is polarized at 5&deg; when it encounters a filter oriented at 35&deg;. What is the probability that it passes?
 * a) 1
 * b) 3/4
 * c) 1/4
 * d) 0
 * e) 1/2

178) H is defined by, B=&mu;0H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point ( - 7.4, 7.4) to the point (7.4, 7.4).


 * a) 1.69E+01 amps
 * b) 1.85E+01 amps
 * c) 2.03E+01 amps
 * d) 2.22E+01 amps
 * e) 2.44E+01 amps

179) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 60&deg; to that field?
 * a) $$\tfrac \sqrt 3 2$$
 * b) $$\tfrac 1 2$$
 * c) $$\tfrac 1 \sqrt 2$$
 * d) $$\tfrac 3 4$$
 * e) $$\tfrac 1 4$$

180) This figure is associated with
 * a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * c) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * d) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * e) Evidence presented in 1800 that light is a wave.

181) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * a) They have the same energy density (since the holes are identical).
 * b) The hotter object has a greater energy density.
 * c) No unique answer exists because two variables are involved (temperature and volume).
 * d) The larger object has a greater energy density.

182) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is  1.53mm.  Applied to the plates is a potential difference of 2.55 kV.  What is the capacitance?


 * a) 8.39 nF.
 * b) 9.65 nF.
 * c) 11.1 nF.
 * d) 12.76 nF.
 * e) 14.68 nF.

183) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
 * a) 0
 * b) 3/4
 * c) 5/4
 * d) 1/2
 * e) 1/4
 * f) 1

184) A very long and thin solenoid has 1946 turns and is 144 meters long. The wire carrys a current of 9A. What is the magnetic field in the center?


 * a) 1.06E-04 Tesla
 * b) 1.16E-04 Tesla
 * c) 1.27E-04 Tesla
 * d) 1.39E-04 Tesla
 * e) 1.53E-04 Tesla

185) What is the magnitude of the electric field at the origin if a 2.1 nC charge is placed at x = 7 m, and a 2.1 nC charge is placed at y = 8.6 m?


 * a) 3 x 10-1N/C
 * b) 3.47 x 10-1N/C
 * c) 4 x 10-1N/C
 * d) 4.62 x 10-1N/C
 * e) 5.34 x 10-1N/C

186) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * a) 72 + (8&minus;s)2
 * b) (7-s)2 + 82
 * c) 72 + (3&minus;s)2
 * d) 32 + 82
 * e) 72 + 82

187) If you play the solitaire game 3 times, you will on average win ___ times.
 * a) 5
 * b) 1
 * c) 2
 * d) 4
 * e) 3

188) A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed?
 * a) 11.67 Joules
 * b) 2.5 Watts
 * c) None of these are ture.
 * d) 1.67 Watts

189) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * a) both can be created
 * b) electromagnetic
 * c) pendulum
 * d) electromagnetic or pendulum

190) Amphere's law for magnetostatic currents is that $$\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$$ equals the current enclosed by the closed loop, and $$B=\mu_0H$$ is the magnetic field. A current of 6.9A flows upward along the z axis. Noting that for this geometry, $$\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$$, calculate the line integral $$\oint d\ell$$ for a circle of radius 4.4m.


 * a) 2.10E+01 m
 * b) 2.30E+01 m
 * c) 2.52E+01 m
 * d) 2.76E+01 m
 * e) 3.03E+01 m

191) An electron beam (m=9.1 x 10&minus;31kg, q=1.6 x 10&minus;19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.15 mT and 4.440E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?


 * a) 1.070E+06 m/s
 * b) 1.177E+06 m/s
 * c) 1.295E+06 m/s
 * d) 1.424E+06 m/s
 * e) 1.566E+06 m/s

192) A non-conducting sphere of radius R=2.9 m has a non-uniform charge density that varies with the distnce from its center as given by &rho;(r)=ar1.5 (r&le;R) where a=3 nC&middot;m-1.5. What is the magnitude of the electric field at a distance of 1.7 m from the center?


 * a) 2.579E+02 N/C
 * b) 2.837E+02 N/C
 * c) 3.121E+02 N/C
 * d) 3.433E+02 N/C
 * e) 3.776E+02 N/C

193) An object is placed 4.65 cm to the left of a converging lens with a focal length of 6.2 cm. How far is the image from the lens?


 * a) 1.86 x 100 cm
 * b) 3.31 x 100 cm
 * c) 5.88 x 100 cm
 * d) 1.05 x 101 cm
 * e) 1.86 x 101 cm

194) What is the radiation force on an object that is 1.20E+11 m away from the sun and has cross-sectional area of 0.055 m2? The average power output of the Sun is 3.80E+26 W.


 * a) 5.263E-07 N
 * b) 5.789E-07 N
 * c) 6.368E-07 N
 * d) 7.005E-07 N
 * e) 7.705E-07 N

195) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?
 * a) None of these are true
 * b) 3 Joules
 * c) 25 Joules
 * d) 5 Joules

196) This figure is associated with
 * a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * c) Evidence presented in 1800 that light is a wave.
 * d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

197) An empty parallel-plate capacitor with metal plates has an area of 2.02 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.170E+03 V?


 * a) 2.450E+01 &mu;C
 * b) 2.695E+01 &mu;C
 * c) 2.965E+01 &mu;C
 * d) 3.261E+01 &mu;C
 * e) 3.587E+01 &mu;C

198) An important principle that allows fiber optics to work is
 * a) partial internal absorption
 * b) the invariance of the speed of light
 * c) the Doppler shift
 * d) total internal reflection
 * e) total external refraction

199) What angle does the electric field at the origin make with the x-axis if a 2.9 nC charge is placed at x = -6.3 m, and a 2.1  nC charge is placed at y = -8.8 m?


 * a) 1.32 x 101degrees
 * b) 1.53 x 101degrees
 * c) 1.76 x 101degrees
 * d) 2.04 x 101degrees
 * e) 2.35 x 101degrees

200) Calculate the drift speed of electrons in a copper wire with a diameter of 5.46 mm carrying a 8.19 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.


 * a) 2.380E-05 m/s
 * b) 2.618E-05 m/s
 * c) 2.880E-05 m/s
 * d) 3.168E-05 m/s
 * e) 3.485E-05 m/s

201) What is the current through R1, R2, R3, and R4 in the figure shown?
 * a) $$I_1 = 0.25A$$; $$I_2 = 0.33A$$; $$I_3 = 0.5A$$; $$I_4 = 0.1A$$.
 * b) $$I_1 = 10A$$; $$I_2 = 50A$$; $$I_3 = 33A$$; $$I_4 = 25A$$..
 * c) $$I_1 = 1A$$; $$I_2 = 0.5A$$; $$I_3 = 0.33A$$; $$I_4 = 0.25A$$.
 * d) $$I_1 = 1A$$; $$I_2 = 5A$$; $$I_3 = 3.3A$$; $$I_4 = 2.5A$$.

202) A very long and thin solenoid has 1259 turns and is 156 meters long. The wire carrys a current of 8.9A. If this solenoid is sufficiently thin, what is the line integral of$$\int \vec H\cdot\vec{d\ell}$$ along an on-axis path that starts 35 meters from the center and stops 90 meters from the center?


 * a) 2.82E+03 A
 * b) 3.09E+03 A
 * c) 3.39E+03 A
 * d) 3.71E+03 A
 * e) 4.07E+03 A

203) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * a) perpendicular
 * b) parallel
 * c) at 45 degrees
 * d) all of these are possible

204) A 819 mF capacitor is connected in series to a 798 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 8.27 x 105 s.
 * b) 2.61 x 106 s.
 * c) 8.27 x 106 s.
 * d) 2.61 x 107 s.
 * e) 8.27 x 107 s.

205) An alpha-particle (q=3.2x10&minus;19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.69 T. What is the  x-component of the force on the alpha-particle if it is moving with a velocity (8.9 i + 4.27 j  + 7.52 k) x 104 m/s?


 * a) 5.296E-14 N
 * b) 5.826E-14 N
 * c) 6.408E-14 N
 * d) 7.049E-14 N
 * e) 7.754E-14 N

206) H is defined by, B=&mu;0H, where B is magnetic field. A current of 37A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,8.4) to the point (8.4,0).


 * a) 8.44E+00 amps
 * b) 9.25E+00 amps
 * c) 1.01E+01 amps
 * d) 1.11E+01 amps
 * e) 1.22E+01 amps

207) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$\sqrt 2$$ what is the length of each side?
 * a) $$2\sqrt 2$$
 * b) $$\tfrac 1 2$$
 * c) $$\tfrac 1 \sqrt 2$$
 * d) $$1$$
 * e) $$\sqrt 2$$

208) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.2 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=4.3 m, z=z0=1.5 m, and z=z1=4.7 m. The surfaces in the yz plane each have area 8.3m2. Those in the xy plane have area 5.7m2 ,and those in the zx plane have area 7.0m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 28&deg; from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 5.408E+01 N&middot;m2/C
 * b) 5.949E+01 N&middot;m2/C
 * c) 6.544E+01 N&middot;m2/C
 * d) 7.198E+01 N&middot;m2/C
 * e) 7.918E+01 N&middot;m2/C

209) A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?
 * a) 2V.
 * b) 15V.
 * c) 0.5V.
 * d) 10V.

210) If you play the solitaire game 6 times, you will on average win ___ times.
 * a) 4
 * b) 3
 * c) 5
 * d) 2
 * e) 6

211) The charge passing a plane intersecting a wire is $$Q_M=\left(1-e^{t/\tau}\right)$$, where $$Q_M$$=24 C  and $$\tau=$$0.0248 s. What is the current at $$t=$$0.0122 s?


 * a) 4.042E+02 A
 * b) 4.446E+02 A
 * c) 4.890E+02 A
 * d) 5.379E+02 A
 * e) 5.917E+02 A

212) A 10 F capacitor is connected in series to a 10&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 4 x 100 s.
 * b) 1.26 x 101 s.
 * c) 4 x 101 s.
 * d) 1.26 x 102 s.
 * e) 4 x 102 s.

213) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?
 * a) deflecting the electron with a magnetic field
 * b) measuring spin
 * c) measuring both spin and polarization
 * d) measuring polarization
 * e) stopping the electron with an applied voltage

214) A battery with a terminal voltage of 8.41 V is connected to a circuit consisting of 3 16.1 &Omega; resistors and one 10.9 &Omega; resistor. What is the voltage drop across the 10.9 &Omega; resistor?


 * a) 1.058E+00 V
 * b) 1.163E+00 V
 * c) 1.280E+00 V
 * d) 1.408E+00 V
 * e) 1.548E+00 V

215) Two sources of emf &epsilon;1=30.6 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.46 k&Omega; and  R2=2.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.97 mA and I4=0.643 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 4.986E+00 V
 * b) 5.484E+00 V
 * c) 6.033E+00 V
 * d) 6.636E+00 V
 * e) 7.299E+00 V

216) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * a) 7/5
 * b) 6/5
 * c) 5/6
 * d) 4/5
 * e) 5/4

217) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
 * a) 3/4
 * b) 1/4
 * c) 1/2
 * d) 0
 * e) 1
 * f) 5/4

218) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at  (x,y) =( 6a, 4a) is &beta;kQ/a2, where &beta; equals


 * a) 1.33 x 10-3 unit
 * b) 1.61 x 10-3 unit
 * c) 1.95 x 10-3 unit
 * d) 2.37 x 10-3 unit
 * e) 2.87 x 10-3 unit

219) A DC winch moter draws 20 amps at 175 volts as it lifts a 5.180E+03 N weight at a constant speed of 0.541 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.


 * a) 1.744E+00 &Omega;
 * b) 1.918E+00 &Omega;
 * c) 2.110E+00 &Omega;
 * d) 2.321E+00 &Omega;
 * e) 2.553E+00 &Omega;

220) Calculate the resistance of a 12-gauge copper wire that is 45 m long and carries a current of 51 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * a) 1.716E-01 &Omega;
 * b) 1.888E-01 &Omega;
 * c) 2.076E-01 &Omega;
 * d) 2.284E-01 &Omega;
 * e) 2.512E-01 &Omega;

221) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 &mu;T. The kinetic energy is 437 keV.  What is the radius of particle's orbit?


 * a) 1.3 x 102 m.
 * b) 4.1 x 102 m.
 * c) 1.3 x 103 m.
 * d) 4.1 x 103 m.
 * e) 1.3 x 104 m.

222) A photon is polarized at 5&deg; when it encounters a filter oriented at 65&deg;. What is the probability that it is blocked?
 * a) 0
 * b) 1
 * c) 1/4
 * d) 3/4
 * e) 1/2

223) A 72 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 14 g, and the magnitude of the magnetic field is 0.54 T. What current is required to maintain this balance?


 * a) 2.651E-01 A
 * b) 2.916E-01 A
 * c) 3.208E-01 A
 * d) 3.529E-01 A
 * e) 3.882E-01 A

224) Assume that a 4 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and  P2 where the polar coordinates (r,&phi;) of  P1 are  (5 cm, 0&deg;) and  P2 is at (15 cm, 59&deg;).


 * a) 3.961E+02 V
 * b) 4.358E+02 V
 * c) 4.793E+02 V
 * d) 5.273E+02 V
 * e) 5.800E+02 V

225) In an LC circuit, the self-inductance is 0.0116 H and the capacitance is 7.040E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.140E-05 C. How long does it take for the capacitor to become completely discharged?


 * a) 4.489E-04 s
 * b) 4.938E-04 s
 * c) 5.432E-04 s
 * d) 5.975E-04 s
 * e) 6.572E-04 s

226) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?


 * a) 4.4 x 10-6 volts
 * b) 6.6 x 10-6 volts
 * c) 9.9 x 10-6 volts
 * d) 1.5 x 10-5 volts
 * e) 2.2 x 10-5 volts

227) A cylinder of radius, r=3, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (1.85+1.33z)\rho^3\hat\rho +7.52z^2\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{top}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the top surface of the cylinder.


 * a) 1.304E+03
 * b) 1.579E+03
 * c) 1.914E+03
 * d) 2.318E+03
 * e) 2.809E+03

228) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.31 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.47 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.


 * a) 8.672E+02 V
 * b) 9.539E+02 V
 * c) 1.049E+03 V
 * d) 1.154E+03 V
 * e) 1.270E+03 V

229) A 49 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 89 kW?


 * a) 1.617E+02 km
 * b) 1.779E+02 km
 * c) 1.957E+02 km
 * d) 2.153E+02 km
 * e) 2.368E+02 km

230) Three wires sit at the corners of a square of length 0.64 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.76 A, 1.02 A, 1.08 A), respectively. What is the x-component of the magnetic field at point P?


 * a) Bx= 3.394E-05 T
 * b) Bx= 3.733E-05 T
 * c) Bx= 4.106E-05 T
 * d) Bx= 4.517E-05 T
 * e) Bx= 4.969E-05 T

231) If the wavelength &lambda; associated with a photon is cut in half, the photon's energy E
 * a) becomes twice as big
 * b) stays the same
 * c) is reduced by a factor of 4
 * d) becomes 4 times as big
 * e) is cut in half

232) What is consumer cost to operate one 102&minus;W incandescent bulb for 5 hours per day for 1 year (365 days) if the cost of electricity is $0.149 per kilowatt-hour?


 * a) $2.292E+01
 * b) $2.521E+01
 * c) $2.774E+01
 * d) $3.051E+01
 * e) $3.356E+01

233) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC and only twoimpedances are involved,  Q=&equiv;&omega;0L/R is definedso that Q is large if the resistance is low.  Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V0sin(&omega;t), where V0=1 V. The resistance, inductance, and capacitance are R =0.2 &Omega;, L= 4.30E-03H, and C=3.20E-06 F, respectively.


 * a) Q = 1.048E+02
 * b) Q = 1.205E+02
 * c) Q = 1.386E+02
 * d) Q = 1.594E+02
 * e) Q = 1.833E+02

234) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.310E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?


 * a) 5.814E-01 mm
 * b) 6.686E-01 mm
 * c) 7.689E-01 mm
 * d) 8.842E-01 mm
 * e) 1.017E+00 mm

235) In the circuit shown V=10.9 V, R1=1.68 &Omega;, R2=7.52 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * a) 7.827E+00 W
 * b) 8.610E+00 W
 * c) 9.470E+00 W
 * d) 1.042E+01 W
 * e) 1.146E+01 W

236) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?
 * a) 6x1018
 * b) 2x1018
 * c) 4x1018
 * d) 8x1018
 * e) 1018

237) The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T.  Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.


 * a) 2.275E-06 V
 * b) 2.502E-06 V
 * c) 2.752E-06 V
 * d) 3.027E-06 V
 * e) 3.330E-06 V

238) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a  96 mF inductor?


 * a) 3.014E-01 A
 * b) 3.316E-01 A
 * c) 3.647E-01 A
 * d) 4.012E-01 A
 * e) 4.413E-01 A

239) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * a) becomes 4 times as big
 * b) stays the same
 * c) becomes twice as big
 * d) is cut in half
 * e) is reduced by a factor of 4

240) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?


 * a) 6.171E+01 N/C
 * b) 6.788E+01 N/C
 * c) 7.467E+01 N/C
 * d) 8.214E+01 N/C
 * e) 9.035E+01 N/C

241) If you play the solitaire game 6 times, you will on average lose ___ times.
 * a) 3
 * b) 5
 * c) 2
 * d) 4
 * e) 6

242) In the figure shown C1=17.5 &mu;F, C2=2.63 &mu;F, and C3=5.76 &mu;F. The voltage source provides &epsilon;=15.9 V. What is the charge on C1?


 * a) 8.197E+01 &mu;C
 * b) 9.017E+01 &mu;C
 * c) 9.919E+01 &mu;C
 * d) 1.091E+02 &mu;C
 * e) 1.200E+02 &mu;C

243) An object of height 0.68 cm is placed 140 cm behind a diverging lens with a focal length of 87 cm. What is the height of the image?


 * a) 1.26 x 10-1 cm
 * b) 1.51 x 10-1 cm
 * c) 1.81 x 10-1 cm
 * d) 2.17 x 10-1 cm
 * e) 2.61 x 10-1 cm

244) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
 * a) 1/4
 * b) 1/2
 * c) 5/4
 * d) 3/4
 * e) 0
 * f) 1

245) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * a) $$\tfrac 3 4$$
 * b) $$\tfrac 1 \sqrt 2$$
 * c) $$\tfrac 1 4$$
 * d) $$\tfrac 1 2$$
 * e) $$\tfrac \sqrt 3 2$$

246) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.8 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=4.5 m, z=z0=1.5 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 9.8m2. Those in the xy plane have area 7.8m2 ,and those in the zx plane have area 9.8m2. An electric field has the xyz components (0, 6.1, 9.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 5.978E+01 N&middot;m2/C
 * b) 6.576E+01 N&middot;m2/C
 * c) 7.233E+01 N&middot;m2/C
 * d) 7.957E+01 N&middot;m2/C
 * e) 8.752E+01 N&middot;m2/C

247) Two parallel wires each carry a 9.59 mA current and are oriented in the z direction. The first wire is located in the x-y   plane at (3.97 cm, 1.4 cm), while the other is located at (4.02 cm, 5.19 cm). What is the force per unit length between the wires?


 * a) 4.412E-10 N/m
 * b) 4.853E-10 N/m
 * c) 5.338E-10 N/m
 * d) 5.872E-10 N/m
 * e) 6.459E-10 N/m

248) Mr. Smith is gazing at something as shown in the figure to the left.  Suppose he does not refocus, but attempts to stare at the star shown in the figures below.  Which diagram depicts how the rays from the star would travel if he does not refocus?
 * a) Ray drawing eye Wrong Answer.svg
 * b) Ray_drawing_eye_schematic_alternate.svg
 * c) Ray drawing eye schematic02.svg

249) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) none of these are correct
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) $$\varepsilon_0 E=  H\rho $$
 * d) $$\varepsilon_0 E = H\rho /2$$
 * e) $$\varepsilon_0 E=   \rho z $$

250) If this represents the eye looking at an object, where is this object?
 * a) Two (of the other answers) are true
 * b) One focal length in front of the eye
 * c) very far away
 * d) directly in front of the eye (almost touching)
 * e) at infinity

251) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 6mW
 * b) 3mW
 * c) 4mW
 * d) 9mW
 * e) 8mW

252) A spatially uniform magnetic points in the z-direction and oscilates with time as $$\vec B(t) = B_0\sin\omega t $$ where $$B_0=$$1.8 T and $$\omega=$$1.530E+03 s&minus;1. Suppose the electric field is always zero at point $$\mathcal O$$, and consider a circle of radius 0.519 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral $$\oint \vec B\cdot d\vec s$$ around the circle.


 * a) 7.422E+03 V
 * b) 8.164E+03 V
 * c) 8.981E+03 V
 * d) 9.879E+03 V
 * e) 1.087E+04 V

253) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * a) decreases by 2 eV
 * b) increases by 4 eV
 * c) stays the same
 * d) increases by 2 eV
 * e) decreases by 4 eV

254) Two sources of emf &epsilon;1=36.3 V, and  &epsilon;2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 k&Omega; and  R2=1.58 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 2.224E+00 mA
 * b) 2.446E+00 mA
 * c) 2.691E+00 mA
 * d) 2.960E+00 mA
 * e) 3.256E+00 mA

255) A battery has an emf of 5.6 volts, and an internal resistance of 450 $$k\Omega$$. It is connected to a 2.7 $$M\Omega$$ resistor.  What power is developed in the 2.7  $$M\Omega$$ resistor?


 * a) 4.88 $$\mu$$W.
 * b) 5.61 $$\mu$$W.
 * c) 6.45 $$\mu$$W.
 * d) 7.42 $$\mu$$W.
 * e) 8.53 $$\mu$$W.

256) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 213 V.  If the combined external and internal resistance is 118 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 142.0 V?


 * a) 5.401E+00 s
 * b) 5.941E+00 s
 * c) 6.535E+00 s
 * d) 7.189E+00 s
 * e) 7.908E+00 s

257) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) s&minus;4
 * b) 4&minus;s
 * c) 4
 * d) s&minus;8
 * e) 8&minus;s

258) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?
 * a) 8W
 * b) 24W
 * c) 2.2W
 * d) 3W

259) An loop of wire with 43 turns has a radius of 0.27 meters, and is oriented with its axis parallel to a magetic field of 0.68 Tesla. What is the induced voltage if this field is reduced to  36% of its original value in 3.8 seconds?


 * a) 6.34 x 10-1 volts
 * b) 7.68 x 10-1 volts
 * c) 9.31 x 10-1 volts
 * d) 1.13 x 100 volts
 * e) 1.37 x 100 volts

260) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) +1/5
 * b) &minus;2/5
 * c) +2/5
 * d) +1
 * e) &minus;1/5
 * f) 0

261) A step-down transformer steps 8 kV down to 220 V. The high-voltage input is provided by a 110 &Omega; power line that carries 8 A of currentWhat is the output current (at the 220 V side ?)


 * a) 2.404E+02 A
 * b) 2.645E+02 A
 * c) 2.909E+02 A
 * d) 3.200E+02 A
 * e) 3.520E+02 A

ALL B0
1) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=2\times 10^{-7}\text{m}$$. What is the magnitude of the net force on $$q_2$$ if $$q_1=1e$$, $$q_2=-7e$$, and $$q_3=3e$$?


 * a) 4.171E-14 N
 * b) 4.588E-14 N
 * c) 5.047E-14 N
 * d) 5.551E-14 N
 * e) 6.107E-14 N

2) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=6\times 10^{-7}\text{m}$$.what angle does the force on $$q_2$$ make above the $$-x$$ axis if $$q_1=3e$$, $$q_2=-8e$$, and $$q_3=5e$$?


 * a) 5.062E+01 degrees
 * b) 5.569E+01 degrees
 * c) 6.125E+01 degrees
 * d) 6.738E+01 degrees
 * e) 7.412E+01 degrees

3) $$E_z(x=0,z)=\int_{-a}^b f(x,z)dx$$ is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m.  Evaluate $$f(x,y)$$ at x=0.79 m if a=0.75 m, b=2.1 m.  The total charge on the rod is 6 nC.


 * a) 5.825E+00 V/m2
 * b) 6.407E+00 V/m2
 * c) 7.048E+00 V/m2
 * d) 7.753E+00 V/m2
 * e) 8.528E+00 V/m2

4) A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?


 * a) 2.013E+09 N/C2
 * b) 2.214E+09 N/C2
 * c) 2.435E+09 N/C2
 * d) 2.679E+09 N/C2
 * e) 2.947E+09 N/C2

5) $$E(z)=\int_{0}^R f(r',z)dr'$$ is an integral that calculates the magnitude of the electric field at a distance $$z$$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk.  The disk's radius is $$R=1.4\text{ m}$$ and the surface charge density is $$\sigma=6\text{ nC/m}^3$$. Evaluate $$f(r',z)$$ at $$r'=0.56\text{ m}$$.


 * a) 2.567E+01 V/m2
 * b) 2.824E+01 V/m2
 * c) 3.106E+01 V/m2
 * d) 3.417E+01 V/m2
 * e) 3.759E+01 V/m2

6) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?


 * a) 1.694E+02 N/C
 * b) 1.864E+02 N/C
 * c) 2.050E+02 N/C
 * d) 2.255E+02 N/C
 * e) 2.480E+02 N/C

7) What is the magnitude of the electric field at the origin if a 1.2 nC charge is placed at x = 5.9 m, and a 3.1 nC charge is placed at y = 6.1 m?


 * a) 7.02 x 10-1N/C
 * b) 8.11 x 10-1N/C
 * c) 9.36 x 10-1N/C
 * d) 1.08 x 100N/C
 * e) 1.25 x 100N/C

8) What angle does the electric field at the origin make with the x-axis if a 1.4 nC charge is placed at x = -8.7 m, and a 2.7  nC charge is placed at y = -8.3 m?


 * a) 4.85 x 101degrees
 * b) 5.61 x 101degrees
 * c) 6.47 x 101degrees
 * d) 7.48 x 101degrees
 * e) 8.63 x 101degrees

9) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at  (x,y) =( 6a, 4a) is &beta;kQ/a2, where &beta; equals


 * a) 1.33 x 10-3 unit
 * b) 1.61 x 10-3 unit
 * c) 1.95 x 10-3 unit
 * d) 2.37 x 10-3 unit
 * e) 2.87 x 10-3 unit

10) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at  (x,y) =( 1.1a, 1.2a) is &beta;kQ/a2, where &beta; equals


 * a) 2.36 x 10-1 unit
 * b) 2.86 x 10-1 unit
 * c) 3.47 x 10-1 unit
 * d) 4.2 x 10-1 unit
 * e) 5.09 x 10-1 unit

11) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal B=$$
 * a) &minus;3
 * b) &minus;7
 * c) &minus;3
 * d) 3
 * e) 2

12) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 1&minus;s
 * b) s&minus;1
 * c) 5&minus;s
 * d) s&minus;4
 * e) 5

13) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal F=$$:
 * a) 2/3
 * b) 2
 * c) 3/2
 * d) 3
 * e) 1/2

14) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) s&minus;7
 * b) 3&minus;s
 * c) 8
 * d) 7&minus;s
 * e) s&minus;3

15) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * a) 72 + 82
 * b) 72 + (3&minus;s)2
 * c) 72 + (8&minus;s)2
 * d) (7-s)2 + 82
 * e) 32 + 82

16) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$
 * a) 3
 * b) s&minus;7
 * c) 3&minus;s
 * d) 7&minus;s
 * e) s&minus;3

17) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where$$\mathcal F=$$
 * a) 2
 * b) 3
 * c) 3/2
 * d) 1/2

18) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 2 &minus; s
 * b) s &minus; 2
 * c) s &minus; 9
 * d) 9 &minus; s
 * e) 2

19) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * a) 72 + (2-s)2
 * b) 22 + (9-s)2
 * c) 22 + (7-s)2
 * d) 92 + (2-s)2
 * e) 92 + (7-s)2

20) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal A=$$:
 * a) 2
 * b) 4
 * c) 8
 * d) 1/2

21) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 8&minus;s
 * b) s&minus;8
 * c) s&minus;4
 * d) 4
 * e) 4&minus;s

22) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 4&minus;s
 * b) 4
 * c) 8&minus;s
 * d) s&minus;8
 * e) s&minus;4

23) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) s&minus;1
 * b) 5&minus;s
 * c) s&minus;4
 * d) 5
 * e) 1&minus;s

24) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.1 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.0 m, z=z0=1.8 m, and z=z1=5.7 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 3.9m2 ,and those in the zx plane have area 4.3m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 31&deg; above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 4.521E+01 N&middot;m2/C
 * b) 4.973E+01 N&middot;m2/C
 * c) 5.470E+01 N&middot;m2/C
 * d) 6.017E+01 N&middot;m2/C
 * e) 6.619E+01 N&middot;m2/C

25) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.5 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.8 m, z=z0=1.7 m, and z=z1=4.6 m. The surfaces in the yz plane each have area 9.9m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 7.2m2. An electric field of magnitude 14 N/C has components in the y and z directions and is directed at 55&deg; from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 8.314E+01 N&middot;m2/C
 * b) 9.146E+01 N&middot;m2/C
 * c) 1.006E+02 N&middot;m2/C
 * d) 1.107E+02 N&middot;m2/C
 * e) 1.217E+02 N&middot;m2/C

26) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=5.3 m, z=z0=1.3 m, and z=z1=5.6 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 4.8m2 ,and those in the zx plane have area 5.6m2. An electric field has the xyz components (0, 5.5, 9.1) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 3.074E+01 N&middot;m2/C
 * b) 3.382E+01 N&middot;m2/C
 * c) 3.720E+01 N&middot;m2/C
 * d) 4.092E+01 N&middot;m2/C
 * e) 4.501E+01 N&middot;m2/C

27) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=8, y=0), (x=0, y=8), and (x=8, y=8), where x and y are measured in meters. The electric field is, $$\vec E=1y^{2.8}\hat i +5x^{2.7}\hat j +5y^{1.6}\hat k$$


 * a) 3.429E+03 V&middot;m
 * b) 3.771E+03 V&middot;m
 * c) 4.149E+03 V&middot;m
 * d) 4.564E+03 V&middot;m
 * e) 5.020E+03 V&middot;m

28) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 1.9 nano-Coulombs. What is the magnitude of the electric field at a distance of 2.1 m from the center of the shells?


 * a) 5.297E+00 N/C
 * b) 5.827E+00 N/C
 * c) 6.409E+00 N/C
 * d) 7.050E+00 N/C
 * e) 7.755E+00 N/C

29) A non-conducting sphere of radius R=3.3 m has a non-uniform charge density that varies with the distnce from its center as given by &rho;(r)=ar1.4 (r&le;R) where a=2 nC&middot;m-1.6. What is the magnitude of the electric field at a distance of 1.5 m from the center?


 * a) 1.123E+02 N/C
 * b) 1.235E+02 N/C
 * c) 1.358E+02 N/C
 * d) 1.494E+02 N/C
 * e) 1.644E+02 N/C

30) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.45+2.26z)\rho^2\hat\rho +8.92z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{top}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the top surface of the cylinder.


 * a) 5.043E+02
 * b) 6.109E+02
 * c) 7.402E+02
 * d) 8.967E+02
 * e) 1.086E+03

31) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.07+2.87z)\rho^2\hat\rho +9.56z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{side}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the curved side surface of the cylinder.


 * a) 4.162E+02
 * b) 5.042E+02
 * c) 6.109E+02
 * d) 7.401E+02
 * e) 8.967E+02

32) A cylinder of radius, r=3, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.37+2.6z)\rho^2\hat\rho +8.84z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\oint\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the entire surface of the cylinder.


 * a) 4.63E+03
 * b) 5.61E+03
 * c) 6.79E+03
 * d) 8.23E+03
 * e) 9.97E+03

33) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E = H\rho /2$$
 * b) $$\varepsilon_0 E=  H\rho $$
 * c) $$\varepsilon_0 E=  H\rho z$$
 * d) none of these are correct
 * e) $$\varepsilon_0 E=   \rho z $$

34) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) $$\varepsilon_0 E = H\rho /2$$
 * b) $$\varepsilon_0 E=  H\rho $$
 * c) $$\varepsilon_0 E=  H\rho z$$
 * d) none of these are correct
 * e) $$\varepsilon_0 E=   \rho z $$

35) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * a) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * b) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * c) none of these are correct
 * d) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * e) $$ r^2\varepsilon_0 E=R^3\rho /3$$

36) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * a) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * c) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * d) none of these are correct
 * e) $$ r^2\varepsilon_0 E=r^3\rho /3$$

37) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * a) none of these are correct
 * b) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * c) $$2r\varepsilon_0 E = R^2\rho $$
 * d) $$2\varepsilon_0 E = r\rho $$
 * e) $$2R\varepsilon_0 E=  r^2\rho $$

38) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * a) $$2R\varepsilon_0 E=  r^2\rho $$
 * b) $$2r\varepsilon_0 E = R^2\rho $$
 * c) none of these are correct
 * d) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * e) $$2\varepsilon_0 E = r\rho $$

39) A 4 C charge is separated from a 10 C charge by distance of 10 cm.  What is the work done by increasing this separation to 19 cm?


 * a) 1.548E-06 J
 * b) 1.703E-06 J
 * c) 1.873E-06 J
 * d) 2.061E-06 J
 * e) 2.267E-06 J

40) Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.)  The charges are q1=3 &mu;C, q2=6 &mu;C, q3=9 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 4.554E+01 J
 * b) 5.009E+01 J
 * c) 5.510E+01 J
 * d) 6.061E+01 J
 * e) 6.667E+01 J

41) A 12.0 V battery can move 49,000 C of charge. How many Joules does it deliver?


 * a) 5.880E+05 J
 * b) 6.468E+05 J
 * c) 7.115E+05 J
 * d) 7.826E+05 J
 * e) 8.609E+05 J

42) When a 8.6 V battery operates a 2.76 W bulb, how many electrons pass through it each second?


 * a) 1.655E+18 electrons
 * b) 1.821E+18 electrons
 * c) 2.003E+18 electrons
 * d) 2.203E+18 electrons
 * e) 2.424E+18 electrons

43) Calculate the final speed of a free electron accelerated from rest through a potential difference of 53 V.


 * a) 3.244E+06 m/s
 * b) 3.568E+06 m/s
 * c) 3.925E+06 m/s
 * d) 4.318E+06 m/s
 * e) 4.750E+06 m/s

44) An electron gun has parallel plates separated by 5.38 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.427 &mu;C charge that gets between the plates?


 * a) 3.542E-01 N
 * b) 3.896E-01 N
 * c) 4.286E-01 N
 * d) 4.714E-01 N
 * e) 5.186E-01 N

45) Assume that a 5 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and  P2 where the polar coordinates (r,&phi;) of  P1 are  (9 cm, 0&deg;) and  P2 is at (13 cm, 31&deg;).


 * a) 1.397E+02 V
 * b) 1.536E+02 V
 * c) 1.690E+02 V
 * d) 1.859E+02 V
 * e) 2.045E+02 V

46) A Van de Graff generator has a 140 cm diameter metal sphere that produces 244 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.900E+01 &mu;C
 * b) 2.090E+01 &mu;C
 * c) 2.299E+01 &mu;C
 * d) 2.529E+01 &mu;C
 * e) 2.782E+01 &mu;C

47) A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.09 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.45 cm, y=2.04 cm)? Note that following the textbook's example, the y-value of the field point at 2.04 cm matches the disance of the positive charge above the x-axis.


 * a) 3.814E+02 V
 * b) 4.195E+02 V
 * c) 4.615E+02 V
 * d) 5.077E+02 V
 * e) 5.584E+02 V

48) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=26 V is x2 + y2 + z2 = R2, where R=


 * a) 3.636E+00 m
 * b) 4.000E+00 m
 * c) 4.399E+00 m
 * d) 4.839E+00 m
 * e) 5.323E+00 m

49) Two large parallel conducting plates are separated by 7.14 mm. Equal and opposite surface charges of 7.660E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * a) 4.031E-01 mm
 * b) 4.636E-01 mm
 * c) 5.332E-01 mm
 * d) 6.131E-01 mm
 * e) 7.051E-01 mm

50) An empty parallel-plate capacitor with metal plates has an area of 2.45 m2, separated by 1.18 mm. How much charge does it store if the voltage is 4.060E+03 V?


 * a) 5.608E+01 &mu;C
 * b) 6.168E+01 &mu;C
 * c) 6.785E+01 &mu;C
 * d) 7.464E+01 &mu;C
 * e) 8.210E+01 &mu;C

51) What is the net capacitance if C1=3.56 &mu;F, C2=4.23 &mu;F, and C3=2.61 &mu;F in the configuration shown?


 * a) 3.755E+00 &mu;F
 * b) 4.130E+00 &mu;F
 * c) 4.543E+00 &mu;F
 * d) 4.997E+00 &mu;F
 * e) 5.497E+00 &mu;F

52) In the figure shown C1=19.4 &mu;F, C2=2.49 &mu;F, and C3=4.17 &mu;F. The voltage source provides &epsilon;=6.35 V. What is the charge on C1?


 * a) 2.602E+01 &mu;C
 * b) 2.862E+01 &mu;C
 * c) 3.148E+01 &mu;C
 * d) 3.463E+01 &mu;C
 * e) 3.809E+01 &mu;C

53) In the figure shown C1=18.2 &mu;F, C2=2.44 &mu;F, and C3=5.0 &mu;F. The voltage source provides &epsilon;=7.78 V. What is the energy stored in C2?


 * a) 1.225E+01 &mu;J
 * b) 1.347E+01 &mu;J
 * c) 1.482E+01 &mu;J
 * d) 1.630E+01 &mu;J
 * e) 1.793E+01 &mu;J

54) A parallel plate capacitor has both plates with an area of 0.55 m2. The separation between the plates is  0.53mm.  Applied to the plates is a potential difference of 4.25 kV.  What is the capacitance?


 * a) 6.95 nF.
 * b) 7.99 nF.
 * c) 9.19 nF.
 * d) 10.57 nF.
 * e) 12.15 nF.

55) The same parallel plate capacitor, with area 0.55 m2, plate separation  0.53mm, and an applied voltage of 4.25 kV.  How much charge is stored?


 * a) 39.05 &mu;C.
 * b) 44.91 &mu;C.
 * c) 51.64 &mu;C.
 * d) 59.39 &mu;C.
 * e) 68.3 &mu;C.

56) A 0.8 Farad capacitor is charged with 1.7 Coulombs. What is the value of the electric field if the plates are 0.5 mm apart?


 * a) 2.43 kV/m.
 * b) 2.79 kV/m.
 * c) 3.21 kV/m.
 * d) 3.7 kV/m.
 * e) 4.25 kV/m.

57) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?


 * a) 0.81 J.
 * b) 0.93 J.
 * c) 1.07 J.
 * d) 1.23 J.
 * e) 1.41 J.

58) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.6 mm apart?


 * a) 412 N.
 * b) 474 N.
 * c) 545 N.
 * d) 626 N.
 * e) 720 N.

59) How fast is a 2663 eV electron moving?


 * a) 3.1 x 107 m/s.
 * b) 4.6 x 107 m/s.
 * c) 6.9 x 107 m/s.
 * d) 1 x 108 m/s.
 * e) 1.5 x 108 m/s.

60) A proton is accellerated (at rest) from a plate held at 4.7 volts to a plate at zero volts. What is the final speed?


 * a) 5.9 x 103 m/s.
 * b) 8.9 x 103 m/s.
 * c) 1.3 x 104 m/s.
 * d) 2 x 104 m/s.
 * e) 3 x 104 m/s.

61) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?


 * a) 3.2 x 103 volts
 * b) 4.9 x 103 volts
 * c) 7.3 x 103 volts
 * d) 1.1 x 104 volts
 * e) 1.6 x 104 volts

62) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?


 * a) 3.4 x 101 volts
 * b) 5.1 x 101 volts
 * c) 7.7 x 101 volts
 * d) 1.2 x 102 volts
 * e) 1.7 x 102 volts

63) What is the average current involved when a truck battery sets in motion 779 C of charge in 3.96 s while starting an engine?


 * a) 1.626E+02 A
 * b) 1.788E+02 A
 * c) 1.967E+02 A
 * d) 2.164E+02 A
 * e) 2.380E+02 A

64) The charge passing a plane intersecting a wire is $$Q_M=\left(1-e^{t/\tau}\right)$$, where $$Q_M$$=84 C  and $$\tau=$$0.0199 s. What is the current at $$t=$$0.0104 s?


 * a) 2.275E+03 A
 * b) 2.503E+03 A
 * c) 2.753E+03 A
 * d) 3.029E+03 A
 * e) 3.331E+03 A

65) Calculate the drift speed of electrons in a copper wire with a diameter of 2.72 mm carrying a 16.2 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.


 * a) 2.087E-04 m/s
 * b) 2.295E-04 m/s
 * c) 2.525E-04 m/s
 * d) 2.777E-04 m/s
 * e) 3.055E-04 m/s

66) A make-believe metal has a density of 1.300E+04 kg/m3 and an atomic mass of 75.7 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.


 * a) 9.398E+28 e&minus;/m3
 * b) 1.034E+29 e&minus;/m3
 * c) 1.137E+29 e&minus;/m3
 * d) 1.251E+29 e&minus;/m3
 * e) 1.376E+29 e&minus;/m3

67) A device requires consumes 142 W of power and requires 12.1 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.


 * a) 2.300E+06 A/m2
 * b) 2.530E+06 A/m2
 * c) 2.783E+06 A/m2
 * d) 3.062E+06 A/m2
 * e) 3.368E+06 A/m2

68) Calculate the resistance of a 12-gauge copper wire that is 78 m long and carries a current of 82 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * a) 2.974E-01 &Omega;
 * b) 3.272E-01 &Omega;
 * c) 3.599E-01 &Omega;
 * d) 3.959E-01 &Omega;
 * e) 4.355E-01 &Omega;

69) Calculate the electric field in a 12-gauge copper wire that is 18 m long and carries a current of 22 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * a) 1.117E-04 V/m
 * b) 1.228E-04 V/m
 * c) 1.351E-04 V/m
 * d) 1.486E-04 V/m
 * e) 1.635E-04 V/m

70) Imagine a substance could be made into a very hot filament. Suppose the resitance is 2.61 &Omega; at a temperature of 92&deg;C and that the temperature coefficient of expansion is 4.260E-03 (&deg;C)&minus;1). What is the resistance at a temperature of 422 &deg;C?


 * a) 6.279E+00 &Omega;
 * b) 6.593E+00 &Omega;
 * c) 6.923E+00 &Omega;
 * d) 7.269E+00 &Omega;
 * e) 7.632E+00 &Omega;

71) A DC winch moter draws 25 amps at 119 volts as it lifts a 4.730E+03 N weight at a constant speed of 0.47 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.


 * a) 1.094E+00 &Omega;
 * b) 1.203E+00 &Omega;
 * c) 1.323E+00 &Omega;
 * d) 1.456E+00 &Omega;
 * e) 1.601E+00 &Omega;

72) What is consumer cost to operate one 59&minus;W incandescent bulb for 10 hours per day for 1 year (365 days) if the cost of electricity is $0.132 per kilowatt-hour?


 * a) $2.584E+01
 * b) $2.843E+01
 * c) $3.127E+01
 * d) $3.440E+01
 * e) $3.784E+01

73) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * a) 1.682E+02 W
 * b) 1.850E+02 W
 * c) 2.035E+02 W
 * d) 2.239E+02 W
 * e) 2.463E+02 W

74) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * a) 2.467E+00 V
 * b) 2.714E+00 V
 * c) 2.985E+00 V
 * d) 3.283E+00 V
 * e) 3.612E+00 V

75) Three resistors, R1 = 0.548 &Omega;, and R2 = R2 = 1.24 &Omega;, are connected in parallel to a 7.16 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 7.029E+01 W
 * b) 7.731E+01 W
 * c) 8.505E+01 W
 * d) 9.355E+01 W
 * e) 1.029E+02 W

76) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * a) 2.172E+01 W
 * b) 2.389E+01 W
 * c) 2.628E+01 W
 * d) 2.891E+01 W
 * e) 3.180E+01 W

77) The resistances in the figure shown are R1= 2.42 &Omega;, R2= 1.09 &Omega;, and R2= 3.89 &Omega;. V1 and V3 are text 0.677 V and 1.86 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.745 V. What is the absolute value of the current through R1?


 * a) 2.089E-01 A
 * b) 2.298E-01 A
 * c) 2.528E-01 A
 * d) 2.781E-01 A
 * e) 3.059E-01 A

78) Two sources of emf &epsilon;1=40.6 V, and  &epsilon;2=13.5 V are oriented as shownin the circuit. The resistances are R1=4.35 k&Omega; and  R2=2.44 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.73 mA and I4=0.78 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.332E+00 mA
 * b) 1.465E+00 mA
 * c) 1.612E+00 mA
 * d) 1.773E+00 mA
 * e) 1.950E+00 mA

79) Two sources of emf &epsilon;1=35.5 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=4.49 k&Omega; and  R2=1.53 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.63 mA and I4=0.972 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 1.093E+01 V
 * b) 1.202E+01 V
 * c) 1.322E+01 V
 * d) 1.454E+01 V
 * e) 1.600E+01 V

80) Two sources of emf &epsilon;1=34.7 V, and  &epsilon;2=13.9 V are oriented as shownin the circuit. The resistances are R1=3.68 k&Omega; and  R2=1.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.68 mA and I4=0.933 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 9.286E+00 V
 * b) 1.021E+01 V
 * c) 1.124E+01 V
 * d) 1.236E+01 V
 * e) 1.360E+01 V

81) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V.  If the combined external and internal resistance is 109 &Omega and the capacitance is  59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?


 * a) 3.728E+00 s
 * b) 4.101E+00 s
 * c) 4.511E+00 s
 * d) 4.962E+00 s
 * e) 5.458E+00 s

82) A 4.7 volt battery moves 50 Coulombs of charge in 1.3 hours. What is the power?


 * a) 4.14 x 10-2 W
 * b) 5.02 x 10-2 W
 * c) 6.08 x 10-2 W
 * d) 7.37 x 10-2 W
 * e) 8.93 x 10-2 W

83) The diameter of a copper wire is 1.9 mm, and it carries a current of 33 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m3 and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)


 * a) 5.93 x 10-4m/s
 * b) 7.19 x 10-4m/s
 * c) 8.71 x 10-4m/s
 * d) 1.06 x 10-3m/s
 * e) 1.28 x 10-3m/s

84) A 146 Watt DC motor draws 0.23 amps of current. What is effective resistance?


 * a) 2.28 x 103 &Omega;
 * b) 2.76 x 103 &Omega;
 * c) 3.34 x 103 &Omega;
 * d) 4.05 x 103 &Omega;
 * e) 4.91 x 103 &Omega;

85) A power supply delivers 145 watts of power to a 244 ohm resistor.  What was the applied voltage?


 * a) 1.88 x 102 volts
 * b) 2.28 x 102 volts
 * c) 2.76 x 102 volts
 * d) 3.34 x 102 volts
 * e) 4.05 x 102 volts

86) 3 amps flow through a 1 Ohm resistor. What is the voltage?
 * a) $$3V$$
 * b) None these are correct.
 * c) $$\frac{1}{3}V$$
 * d) $$1V$$

87) A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?
 * a) I = 5A &  P = 9W
 * b) I = 5A &  P = 3W.
 * c) I = 5A &  P = 25W.
 * d) I = 5A &  P = 5W.

88) The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one?
 * a) $$V_{small-Resistor} = 5V$$ and $$V_{Big-Resistor} = 5V$$.
 * b) $$V_{Big-Resistor} = 6.67V$$ and $$V_{small-Resistor} = 3.33V$$.
 * c) $$V_{Big-Resistor} = 3.33V$$ and$$V_{small-Resistor} = 6.67V$$.
 * d) None of these are true.

89) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?
 * a) $$R_{Total} = 3\Omega$$.
 * b) $$R_{Total} = 6\Omega$$.
 * c) None of these are true.
 * d) $$R_{Total} = 0.5454\Omega$$.

90) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?
 * a) None of these are true.
 * b) $$R_1 = 250V$$ and $$R_2 = 0V$$.
 * c) $$R_1 = 125V$$ and $$R_2 = 125V$$.
 * d) $$R_1 = 150V$$ and $$R_2 = 100V$$.

91) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{11}{6}\Omega$$.
 * b) $$\frac{6}{3}\Omega$$.
 * c) $$\frac{3}{6}\Omega$$.
 * d) $$\frac{6}{11}\Omega$$.

92) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{10}{7}\Omega$$.
 * b) $$\frac{7}{10}\Omega$$.
 * c) $$\frac{10}{6}\Omega$$.
 * d) $$\frac{6}{10}\Omega$$.

93) A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{7}{11}\Omega$$.
 * b) $$\frac{10}{21}\Omega$$.
 * c) $$\frac{11}{7}\Omega$$.
 * d) $$\frac{21}{10}\Omega$$.

94) Three 1 ohm resistors are connected in parallel. What is the total resistance?
 * a) $$\frac{2}{3}\Omega$$.
 * b) $$ 3\Omega$$.
 * c) $$\frac{1}{3}\Omega$$.
 * d) $$\frac{3}{2}\Omega$$.

95) If you put an infinite number of resistors in parallel, what would the total resistance be?
 * a) $$R_{total}$$ would approach 1 as The No. of Resistors In parallel Approaches Infinity
 * b) $$R_{total}$$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.
 * c) It is not possible to connect that Number of Resistors in parallel.
 * d) None of these are true.

96) What is the current through R1 and R2 in the figure shown?
 * a) $$I_1 = 10A$$ and $$I_2 = 16.67A$$.
 * b) $$I_1 = 1A$$ and $$I_2 = 1.667A$$.
 * c) $$I_1 = 0.1A$$ and $$I_2 = 0.1667A$$.
 * d) $$I_1 = 1A$$ and $$I_2 = 25A$$.

97) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?
 * a) Voltage is a measure of Electric Potential difference between two electrical points.
 * b) The other point could be Negative or positive.
 * c) None these are correct
 * d) It's an Electrical Cliche.

98) What is the current through R1, R2, R3, and R4 in the figure shown?
 * a) $$I_1 = 1A$$; $$I_2 = 0.5A$$; $$I_3 = 0.33A$$; $$I_4 = 0.25A$$.
 * b) $$I_1 = 1A$$; $$I_2 = 5A$$; $$I_3 = 3.3A$$; $$I_4 = 2.5A$$.
 * c) $$I_1 = 10A$$; $$I_2 = 50A$$; $$I_3 = 33A$$; $$I_4 = 25A$$..
 * d) $$I_1 = 0.25A$$; $$I_2 = 0.33A$$; $$I_3 = 0.5A$$; $$I_4 = 0.1A$$.

99) Two resistors are in parallel with a voltage source. How do their voltages compare?
 * a) The voltage across both resistors is half the voltage of the source.
 * b) None of these are true.
 * c) One has full voltage, the other has none.
 * d) The voltage across both resistors is the same as the source.

100) A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?
 * a) 2V.
 * b) 10V.
 * c) 15V.
 * d) 0.5V.

101) A resistor has 10 volts across it and 4 amps going through it. What is its resistance?
 * a) None of these are true.
 * b) $$3.5\Omega.$$
 * c) $$4.5\Omega.$$
 * d) $$2.5\Omega.$$

102) If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope?
 * a) Resistance.
 * b) None of these are true.
 * c) Power.
 * d) Discriminant.

103) A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?
 * a) 1.5A
 * b) 3A
 * c) 12A
 * d) 2A

104) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?
 * a) 2.2W
 * b) 8W
 * c) 24W
 * d) 3W

105) A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed?
 * a) 11.67 Joules
 * b) None of these are ture.
 * c) 1.67 Watts
 * d) 2.5 Watts

106) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?
 * a) 5 Joules
 * b) 25 Joules
 * c) None of these are true
 * d) 3 Joules

107) An ideal 9.9 V voltage source is connected to two resistors in parallel.  One is 0.9$$k\Omega$$, and the other is 1.8 $$k\Omega$$.  What is the current through the larger resistor?


 * a) 3.67 mA.
 * b) 4.22 mA.
 * c) 4.85 mA.
 * d) 5.58 mA.
 * e) 6.41 mA.

108) A 6.6 ohm resistor is connected in series to a pair of 6.4 ohm resistors that are in parallel.  What is the net resistance?


 * a) 6.4 ohms.
 * b) 7.4 ohms.
 * c) 8.5 ohms.
 * d) 9.8 ohms.
 * e) 11.3 ohms.

109) Two 6.6 ohm resistors are connected in parallel.  This combination is then connected in series to a 3.4 ohm resistor.  What is the net resistance?


 * a) 4.4 ohms.
 * b) 5.1 ohms.
 * c) 5.8 ohms.
 * d) 6.7 ohms.
 * e) 7.7 ohms.

110) An ideal 7.3 volt battery is connected to a 0.071 ohm resistor.  To measure the current an ammeter with a resistance of 27$$m\Omega$$ is used.  What current does the ammeter actually read?


 * a) 49 A.
 * b) 56.3 A.
 * c) 64.8 A.
 * d) 74.5 A.
 * e) 85.7 A.

111) A battery has an emf of 5.6 volts, and an internal resistance of 295 $$k\Omega$$. It is connected to a 4.1 $$M\Omega$$ resistor.  What power is developed in the 4.1  $$M\Omega$$ resistor?


 * a) 3.81 $$\mu$$W.
 * b) 4.38 $$\mu$$W.
 * c) 5.03 $$\mu$$W.
 * d) 5.79 $$\mu$$W.
 * e) 6.66 $$\mu$$W.

112) An alpha-particle (q=3.2x10&minus;19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the  x-component of the force on the alpha-particle if it is moving with a velocity (5.64 i + 1.93 j  + 8.71 k) x 104 m/s?


 * a) 1.757E-14 N
 * b) 1.933E-14 N
 * c) 2.126E-14 N
 * d) 2.339E-14 N
 * e) 2.573E-14 N

113) A charged particle in a magnetic field of 3.720E-04 T is moving perpendicular to the magnetic field with a speed of 4.780E+05 m/s. What is the period of orbit if orbital radius is 0.868 m?


 * a) 7.793E-06 s
 * b) 8.572E-06 s
 * c) 9.429E-06 s
 * d) 1.037E-05 s
 * e) 1.141E-05 s

114) An alpha-particle (m=6.64x10&minus;27kg, q=3.2x10&minus;19C) briefly enters a uniform magnetic field of magnitude 0.0618 T . It emerges after being deflected by 67&deg; from its original direction. How much time did it spend in that magnetic field?


 * a) 3.245E-07 s
 * b) 3.569E-07 s
 * c) 3.926E-07 s
 * d) 4.319E-07 s
 * e) 4.751E-07 s

115) A 33 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.869 T. What current is required to maintain this balance?


 * a) 2.259E-01 A
 * b) 2.485E-01 A
 * c) 2.734E-01 A
 * d) 3.007E-01 A
 * e) 3.308E-01 A

116) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.265 T magnetic field is directed 26&deg; away from the wire?


 * a) 3.840E-01 N/m
 * b) 4.224E-01 N/m
 * c) 4.647E-01 N/m
 * d) 5.111E-01 N/m
 * e) 5.623E-01 N/m

117) A circular current loop of radius 2.1 cm carries a current of 5.02 mA. What is the magnitude of the torque if the dipole is oriented at 26 &deg; to a uniform magnetic fied of 0.184 T?


 * a) 5.610E-07 N m
 * b) 6.171E-07 N m
 * c) 6.788E-07 N m
 * d) 7.467E-07 N m
 * e) 8.213E-07 N m

118) An electron beam (m=9.1 x 10&minus;31kg, q=1.6 x 10&minus;19C) enters a crossed-field velocity selector with magnetic and electric fields of 1.85 mT and 5.080E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?


 * a) 2.746E+06 m/s
 * b) 3.021E+06 m/s
 * c) 3.323E+06 m/s
 * d) 3.655E+06 m/s
 * e) 4.020E+06 m/s

119) The silver ribbon shown are a=3.84 cm, b=3.45 cm, and c= 1.38 cm. The current carries a current of 92 A and it lies in a uniform magnetic field of 1.35 T.  Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.


 * a) 7.153E-07 V
 * b) 7.869E-07 V
 * c) 8.655E-07 V
 * d) 9.521E-07 V
 * e) 1.047E-06 V

120) A cyclotron used to accelerate alpha particlesm=6.64 x 10&minus;27kg, q=3.2 x 10&minus;19C) has a radius of 0.295 m and a magneticfield of 1.44 T. What is their maximum kinetic energy?


 * a) 6.534E+00 MeV
 * b) 7.187E+00 MeV
 * c) 7.906E+00 MeV
 * d) 8.697E+00 MeV
 * e) 9.566E+00 MeV

121) A wire carries a current of 193 A in a circular arc with radius 3.13 cm swept through 40 degrees. Assuming that the rest of the current is 100% shielded by  mu-metal, what is the magnetic field at the center of the arc?


 * a) 1.285E+00 Tesla
 * b) 1.413E+00 Tesla
 * c) 1.554E+00 Tesla
 * d) 1.710E+00 Tesla
 * e) 1.881E+00 Tesla

122) Three wires sit at the corners of a square of length 0.739 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.93 A, 2.48 A, 1.36 A), respectively. What is the x-component of the magnetic field at point P?


 * a) Bx= 6.397E-05 T
 * b) Bx= 7.037E-05 T
 * c) Bx= 7.740E-05 T
 * d) Bx= 8.514E-05 T
 * e) Bx= 9.366E-05 T

123) Three wires sit at the corners of a square of length 0.859 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.07 A, 1.32 A, 2.03 A), respectively. What is the y-component of the magnetic field at point P?


 * a) By= 4.028E-05 T
 * b) By= 4.431E-05 T
 * c) By= 4.874E-05 T
 * d) By= 5.361E-05 T
 * e) By= 5.897E-05 T

124) Two parallel wires each carry a 2.83 mA current and are oriented in the z direction. The first wire is located in the x-y   plane at (3.15 cm, 1.13 cm), while the other is located at (5.14 cm, 4.22 cm). What is the force per unit length between the wires?


 * a) 2.977E-11 N/m
 * b) 3.274E-11 N/m
 * c) 3.602E-11 N/m
 * d) 3.962E-11 N/m
 * e) 4.358E-11 N/m

125) Two loops of wire carry the same current of 43 kA, and flow in the same direction. They share a common axis and orientation.  One loop has a radius of 0.516 m while the other has a radius of 1.22 m.  What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.565 m from the first (smaller) loopif the disance between the loops is 1.78 m?


 * a) 1.798E-02 T
 * b) 1.978E-02 T
 * c) 2.176E-02 T
 * d) 2.394E-02 T
 * e) 2.633E-02 T

126) Under most conditions the current is distributed uniformly over the cross section of the wire.  What is the magnetic field 1.18 mm from the center of a wire of radius 3 mm if the current is 1A?


 * a) 1.791E-05 T
 * b) 1.970E-05 T
 * c) 2.167E-05 T
 * d) 2.384E-05 T
 * e) 2.622E-05 T

127) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for $$r<a$$ is, $$B_\theta (r)=\left( \frac{2r}{a} - \frac{r^2}{a^2}\right)B_{max}$$, where $$B_{max}$$ is the maximum magnetic field (at $$r=a$$).  If $$a=$$ 0.37 m and $$B_{max}=\,$$ 0.556 T, then how much current (in the z-direction) flows through a circle of radius $$r=$$ 0.14 m that is centered on the axis with its plane perpendicular to the axis?


 * a) 2.171E+05 A
 * b) 2.388E+05 A
 * c) 2.627E+05 A
 * d) 2.890E+05 A
 * e) 3.179E+05 A

128) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.85 kA, I2=1.8 kA, and I3=4.89 kA, take the $$\beta$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * a) 3.530E-03 T-m
 * b) 3.883E-03 T-m
 * c) 4.271E-03 T-m
 * d) 4.698E-03 T-m
 * e) 5.168E-03 T-m

129) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.78 kA, I2=2.61 kA, and I3=3.76 kA, take the $$\omega$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * a) 4.939E-03 T-m
 * b) 5.432E-03 T-m
 * c) 5.976E-03 T-m
 * d) 6.573E-03 T-m
 * e) 7.231E-03 T-m

130) A solenoid has 4.730E+04 turns wound around a cylinder of diameter 1.46 cm and length 15 m. The current through the coils is 0.754 A.  Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $$\int\vec B\cdot\vec\ell$$ alongthe axis from z=&minus;3.4 cm to z=+1.14 cm


 * a) 1.121E-04 T-m
 * b) 1.233E-04 T-m
 * c) 1.356E-04 T-m
 * d) 1.492E-04 T-m
 * e) 1.641E-04 T-m

131) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 27 turns per centimeter and the current applied to the solenoid is 280 mA, the net magnetic field is measured to be 1.13 T. What is the magnetic susceptibility for this case?


 * a) $$\chi \text{ (chi) }=$$ 1.188E+03
 * b) $$\chi \text{ (chi) }=$$ 1.307E+03
 * c) $$\chi \text{ (chi) }=$$ 1.438E+03
 * d) $$\chi \text{ (chi) }=$$ 1.582E+03
 * e) $$\chi \text{ (chi) }=$$ 1.740E+03

132) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 &mu;T. The kinetic energy is 437 keV.  What is the radius of particle's orbit?


 * a) 1.3 x 102 m.
 * b) 4.1 x 102 m.
 * c) 1.3 x 103 m.
 * d) 4.1 x 103 m.
 * e) 1.3 x 104 m.

133) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?


 * a) 2.36 x 10-3 newtons
 * b) 7.47 x 10-3 newtons
 * c) 2.36 x 10-2 newtons
 * d) 7.47 x 10-2 newtons
 * e) 2.36 x 10-1 newtons

134) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm.  What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?


 * a) 5.14 x 10-5 Volts
 * b) 1.62 x 10-4 Volts
 * c) 5.14 x 10-4 Volts
 * d) 1.62 x 10-3 Volts
 * e) 5.14 x 10-3 Volts

135) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal.  To counter the magnetic force, a voltage is applied between two large parallel plates that are 59  mm apart.  What must be the applied voltage if the magnetic field is 45&mu;T?


 * a) 1.1 x 100 volts
 * b) 3.6 x 100 volts
 * c) 1.1 x 101 volts
 * d) 3.6 x 101 volts
 * e) 1.1 x 102 volts

136) Amphere's law for magnetostatic currents is that $$\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$$ equals the current enclosed by the closed loop, and $$B=\mu_0H$$ is the magnetic field. A current of 5A flows upward along the z axis. Noting that for this geometry, $$\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$$, calculate the line integral $$\oint d\ell$$ for a circle of radius 5.4m.


 * a) 3.09E+01 m
 * b) 3.39E+01 m
 * c) 3.72E+01 m
 * d) 4.08E+01 m
 * e) 4.47E+01 m

137) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H$$ at a distance of 7.9m from a wire carrying a current of 6.8A?


 * a) 1.14E-01 A/m
 * b) 1.25E-01 A/m
 * c) 1.37E-01 A/m
 * d) 1.50E-01 A/m
 * e) 1.65E-01 A/m

138) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H_y$$ at the point (2.2104,5.6854) if a current of 5.8A flows through a wire that runs along the z axis?


 * a) 4.16E-02 A/m
 * b) 4.56E-02 A/m
 * c) 5.00E-02 A/m
 * d) 5.48E-02 A/m
 * e) 6.01E-02 A/m

139) A very long and thin solenoid has 2066 turns and is 156 meters long. The wire carrys a current of 7.6A. What is the magnetic field in the center?


 * a) 8.75E-05 Tesla
 * b) 9.59E-05 Tesla
 * c) 1.05E-04 Tesla
 * d) 1.15E-04 Tesla
 * e) 1.26E-04 Tesla

140) A very long and thin solenoid has 2376 turns and is 156 meters long. The wire carrys a current of 7.6A. If this solenoid is sufficiently thin, what is the line integral of$$\int \vec H\cdot\vec{d\ell}$$ along an on-axis path that starts 49 meters from the center and stops 102 meters from the center?


 * a) 2.32E+03 A
 * b) 2.55E+03 A
 * c) 2.79E+03 A
 * d) 3.06E+03 A
 * e) 3.36E+03 A

141) A torus is centered around the x-y plane, with major radius, a = 3.24 m, and  minor radius, r = 1.35m.  A wire carrying 4.9A is uniformly wrapped with 731 turns.  If  B=&mu;0H is the magnetic field, what is H inside the torus, at a point on the xy plane that is 0.81m from the outermost edge of the torus?


 * a) 1.11E+02 amps per meter
 * b) 1.20E+02 amps per meter
 * c) 1.30E+02 amps per meter
 * d) 1.40E+02 amps per meter
 * e) 1.51E+02 amps per meter

142) H is defined by, B=&mu;0H, where B is magnetic field. A current of 91A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,7.3) to the point (7.3,0).


 * a) 2.28E+01 amps
 * b) 2.49E+01 amps
 * c) 2.74E+01 amps
 * d) 3.00E+01 amps
 * e) 3.29E+01 amps

143) H is defined by, B=&mu;0H, where B is magnetic field. A current of 51A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point ( - 7, 7) to the point (7, 7).


 * a) 9.67E+00 amps
 * b) 1.06E+01 amps
 * c) 1.16E+01 amps
 * d) 1.28E+01 amps
 * e) 1.40E+01 amps

144) H is defined by, B=&mu;0H, where B is magnetic field. A current of 48A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,8.4) to the point (8.4,8.4).


 * a) 5.47E+00 amps
 * b) 6.00E+00 amps
 * c) 6.58E+00 amps
 * d) 7.21E+00 amps
 * e) 7.91E+00 amps

145) H is defined by, B=&mu;0H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from  ( -&infin; ,9.4) to (+ &infin; ,9.4).


 * a) 3.25E+01 amps
 * b) 3.57E+01 amps
 * c) 3.91E+01 amps
 * d) 4.29E+01 amps
 * e) 4.70E+01 amps

146) A square coil has sides that are L= 0.819 m long and is tightly wound with N=887 turns of wire. The resistance of the coil is R=5.69 &Omega;. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0618 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?


 * a) 4.414E+00 A
 * b) 4.855E+00 A
 * c) 5.341E+00 A
 * d) 5.875E+00 A
 * e) 6.462E+00 A

147) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.869 m. The magnetic field is spatially uniform but decays in time according to $$(4.01)e^{-\alpha t}$$, where $$\alpha=$$5.66 s. What is the current in the coil if the impedance of the coil is 32.8 &Omega;?


 * a) 9.191E-01 A
 * b) 1.011E+00 A
 * c) 1.112E+00 A
 * d) 1.223E+00 A
 * e) 1.346E+00 A

148) The current through the windings of a solenoid with n= 2.980E+03 turns per meter is changing at a rate dI/dt=9 A/s. The solenoid is 88 cm long and has a cross-sectional diameter of 2.69 cm.  A small coil consisting of N=28turns wraped in a circle of diameter 1.64 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil.  What is the emf induced in the coil?


 * a) 1.498E-04 V
 * b) 1.647E-04 V
 * c) 1.812E-04 V
 * d) 1.993E-04 V
 * e) 2.193E-04 V

149) Calculate the motional emf induced along a 25.2 km conductor moving at an orbital speed of 7.72 km/s perpendicular to Earth's 4.900E-05 Tesla magnetic field.


 * a) 7.162E+03 V
 * b) 7.878E+03 V
 * c) 8.666E+03 V
 * d) 9.533E+03 V
 * e) 1.049E+04 V

150) A cylinder of height 1.68 cm and radius 2.74 cm is cut into a wedge as shown. Now imagine that the volume grows as &theta; increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 1.78 cm from point O and moves at a speed of 3.44 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.) --(Answer & Why this question is different.)


 * a) 8.324E+00 cm3/s
 * b) 9.157E+00 cm3/s
 * c) 1.007E+01 cm3/s
 * d) 1.108E+01 cm3/s
 * e) 1.219E+01 cm3/s

151) A recangular coil with an area of 0.178 m2 and 17 turns is placed in a uniform magnetic field of 2.62 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 4.380E+03 s&minus;1.  What is the magnitude (absolute value) of the induced emf at t = 45 s?


 * a) 1.068E+04 V
 * b) 1.175E+04 V
 * c) 1.293E+04 V
 * d) 1.422E+04 V
 * e) 1.564E+04 V

152) A spatially uniform magnetic points in the z-direction and oscilates with time as $$\vec B(t) = B_0\sin\omega t $$ where $$B_0=$$3.11 T and $$\omega=$$1.150E+03 s&minus;1. Suppose the electric field is always zero at point $$\mathcal O$$, and consider a circle of radius 0.171 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral $$\oint \vec B\cdot d\vec s$$ around the circle.


 * a) 2.887E+03 V
 * b) 3.176E+03 V
 * c) 3.493E+03 V
 * d) 3.843E+03 V
 * e) 4.227E+03 V

153) A long solenoid has a radius of 0.644 m and 20 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$7 A and $$\alpha=$$27 s&minus;1.What is the induced electric fied at a distance 2.84 m from the axis at time t=0.083 s ?


 * a) 3.353E-05 V/m
 * b) 3.689E-05 V/m
 * c) 4.058E-05 V/m
 * d) 4.463E-05 V/m
 * e) 4.910E-05 V/m

154) A long solenoid has a radius of 0.517 m and 23 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$1 A and $$\alpha=$$30 s&minus;1.What is the induced electric fied at a distance 0.162 m from the axis at time t=0.0679 s ?


 * a) 6.256E-06 V/m
 * b) 6.882E-06 V/m
 * c) 7.570E-06 V/m
 * d) 8.327E-06 V/m
 * e) 9.160E-06 V/m

155) A long solenoid has a length 0.896 meters, radius 4.28 cm, and 550 turns. It surrounds  coil of radius 6.65 meters and 9turns.  If the current in the solenoid is changing at a rate of 204 A/s, what is the emf induced in the surounding coil?


 * a) 2.328E-02 V
 * b) 2.560E-02 V
 * c) 2.817E-02 V
 * d) 3.098E-02 V
 * e) 3.408E-02 V

156) An induced emf of 1.92V is measured across a coil of 74 closely wound turns while the current throuth it increases uniformly from 0.0 to 6.38A in 0.69s. What is the self-inductance of the coil?


 * a) 1.560E-01 H
 * b) 1.716E-01 H
 * c) 1.888E-01 H
 * d) 2.076E-01 H
 * e) 2.284E-01 H

157) A washer has an inner diameter of 2.37 cm and an outer diamter of 4.84 cm. The thickness is $$h=Cr^{-n}$$ where $$r$$ is measured in cm, $$C=4.67mm$$, and $$n=2.56$$. What is the volume of the washer?


 * a) 1.570E+00 cm3
 * b) 1.727E+00 cm3
 * c) 1.900E+00 cm3
 * d) 2.090E+00 cm3
 * e) 2.299E+00 cm3

158) Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =3.96 s if &epsilon; = 4.92 V, R = 5.02 &Omega;, and L = 5.0 H?


 * a) 9.618E-01 V
 * b) 1.154E+00 V
 * c) 1.385E+00 V
 * d) 1.662E+00 V
 * e) 1.994E+00 V

159) Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is  opened as as S2 is closed.  How long will it take for the energy stored in the inductor to be reduced to 2.7% of its maximum value if &epsilon; = 7.67 V, R = 2.45 &Omega;, and L = 7.81 H?


 * a) -5.757E+00 s
 * b) -6.333E+00 s
 * c) -6.966E+00 s
 * d) -7.663E+00 s
 * e) -8.429E+00 s

160) In an LC circuit, the self-inductance is 0.0262 H and the capacitance is 4.540E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 4.700E-05 C. How long does it take for the capacitor to become completely discharged?


 * a) 4.070E-04 s
 * b) 4.477E-04 s
 * c) 4.925E-04 s
 * d) 5.417E-04 s
 * e) 5.959E-04 s

161) An ac generator produces an emf of amplitude 7 V at a frequency of 190 Hz. What is the maximum amplitude of the current if the generator is connected to a  44 mF inductor?


 * a) 9.102E-02 A
 * b) 1.001E-01 A
 * c) 1.101E-01 A
 * d) 1.211E-01 A
 * e) 1.333E-01 A

162) An ac generator produces an emf of amplitude 87 V at a frequency of 44 Hz. What is the maximum amplitude of the current if the generator is connected to a  9 mF capacitor?


 * a) 1.626E-01 A
 * b) 1.789E-01 A
 * c) 1.968E-01 A
 * d) 2.165E-01 A
 * e) 2.381E-01 A

163) The output of an ac generator connected to an RLC series combination has a frequency of 540 Hz and an amplitude of 0.18 V;. If R =3 &Omega;, L= 2.50E-03H, and C=8.20E-04 F, what is the impedance?


 * a) 7.872E+00 &Omega;
 * b) 8.659E+00 &Omega;
 * c) 9.525E+00 &Omega;
 * d) 1.048E+01 &Omega;
 * e) 1.153E+01 &Omega;

164) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.23 V;. If R =4 &Omega;, L= 7.70E-03H, and C=9.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?


 * a) 1.329E+00 &rad;
 * b) 1.462E+00 &rad;
 * c) 1.608E+00 &rad;
 * d) 1.769E+00 &rad;
 * e) 1.946E+00 &rad;

165) The output of an ac generator connected to an RLC series combination has a frequency of 3.50E+04 Hz and an amplitude of 8 V. If R =7 &Omega;, L= 9.40E-03H, and C=8.50E-06 F, what is the rms power transferred to the resistor?


 * a) 2.111E-03 Watts
 * b) 2.323E-03 Watts
 * c) 2.555E-03 Watts
 * d) 2.810E-03 Watts
 * e) 3.091E-03 Watts

166) An RLC series combination is driven with an applied voltage of of V=V0sin(&omega;t), where V0=0.25 V. The resistance, inductance, and capacitance are R =3 &Omega;, L= 2.20E-03H, and C=6.30E-04 F, respectively. What is the amplitude of the current?


 * a) 7.576E-02 A
 * b) 8.333E-02 A
 * c) 9.167E-02 A
 * d) 1.008E-01 A
 * e) 1.109E-01 A

167) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC and only twoimpedances are involved,  Q=&equiv;&omega;0L/R is definedso that Q is large if the resistance is low.  Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V0sin(&omega;t), where V0=4 V. The resistance, inductance, and capacitance are R =0.2 &Omega;, L= 5.00E-03H, and C=3.20E-06 F, respectively.


 * a) Q = 1.300E+02
 * b) Q = 1.494E+02
 * c) Q = 1.719E+02
 * d) Q = 1.976E+02
 * e) Q = 2.273E+02

168) A step-down transformer steps 8 kV down to 220 V. The high-voltage input is provided by a 110 &Omega; power line that carries 8 A of currentWhat is the output current (at the 220 V side ?)


 * a) 2.404E+02 A
 * b) 2.645E+02 A
 * c) 2.909E+02 A
 * d) 3.200E+02 A
 * e) 3.520E+02 A

169) Two orbiting satellites are orbiting at a speed of 52 km/s perpendicular to a magnetic field of 41 &mu;T. They are connected by a cable that is 33 km long.  A voltmeter is attached between a satellite and one end of the cable.  The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit.  What is the measured voltage?


 * a) 4.79 x 104 volts.
 * b) 5.81 x 104 volts.
 * c) 7.04 x 104 volts.
 * d) 8.52 x 104 volts.
 * e) 1.03 x 105 volts.

170) An loop of wire with 43 turns has a radius of 0.27 meters, and is oriented with its axis parallel to a magetic field of 0.68 Tesla. What is the induced voltage if this field is reduced to  36% of its original value in 3.8 seconds?


 * a) 6.34 x 10-1 volts
 * b) 7.68 x 10-1 volts
 * c) 9.31 x 10-1 volts
 * d) 1.13 x 100 volts
 * e) 1.37 x 100 volts

171) A 819 mF capacitor is connected in series to a 798 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 8.27 x 105 s.
 * b) 2.61 x 106 s.
 * c) 8.27 x 106 s.
 * d) 2.61 x 107 s.
 * e) 8.27 x 107 s.

172) A 65 &mu;F capacitor is connected in series to a 414 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 1.08 x 101 s.
 * b) 3.4 x 101 s.
 * c) 1.08 x 102 s.
 * d) 3.4 x 102 s.
 * e) 1.08 x 103 s.

173) A 727 mF capacitor is connected in series to a 860 M&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)


 * a) 1.88 x 109 s.
 * b) 5.93 x 109 s.
 * c) 1.88 x 1010 s.
 * d) 5.93 x 1010 s.
 * e) 1.88 x 1011 s.

174) A 10 F capacitor is connected in series to a 10&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 4 x 100 s.
 * b) 1.26 x 101 s.
 * c) 4 x 101 s.
 * d) 1.26 x 102 s.
 * e) 4 x 102 s.

175) A parallel plate capacitor with a capicatnce C=7.40E-06 F whose plates have an area A=7.20E+03 m2 and separation d=8.60E-03 m is connected via a swith to a 14 &Omega; resistor and a battery of voltage V0=16 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.50E-04?


 * a) 9.195E+00 V
 * b) 1.011E+01 V
 * c) 1.113E+01 V
 * d) 1.224E+01 V
 * e) 1.346E+01 V

176) A parallel plate capacitor with a capicatnce C=2.60E-06 F whose plates have an area A=2.60E+03 m2 and separation d=9.00E-03 m is connected via a swith to a 41 &Omega; resistor and a battery of voltage V0=91 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=3.00E-04?


 * a) 9.505E+03 V/m
 * b) 1.046E+04 V/m
 * c) 1.150E+04 V/m
 * d) 1.265E+04 V/m
 * e) 1.392E+04 V/m

177) A parallel plate capacitor with a capicatnce C=7.60E-06 F whose plates have an area A=4.00E+03 m2 and separation d=4.70E-03 m is connected via a swith to a 38 &Omega; resistor and a battery of voltage V0=28 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=8.10E-04?


 * a) 3.351E-02 A
 * b) 3.686E-02 A
 * c) 4.054E-02 A
 * d) 4.460E-02 A
 * e) 4.906E-02 A

178) A 59 kW radio transmitter on Earth sends it signal to a satellite 150 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 73 kW?


 * a) 1.517E+02 km
 * b) 1.669E+02 km
 * c) 1.835E+02 km
 * d) 2.019E+02 km
 * e) 2.221E+02 km

179) What is the radiation pressure on an object that is 8.10E+11 m away from the sun and has cross-sectional area of 0.057 m2? The average power output of the Sun is 3.80E+26 W.


 * a) 3.075E-07 N/m2
 * b) 3.382E-07 N/m2
 * c) 3.720E-07 N/m2
 * d) 4.092E-07 N/m2
 * e) 4.502E-07 N/m2

180) What is the radiation force on an object that is 7.40E+11 m away from the sun and has cross-sectional area of 0.082 m2? The average power output of the Sun is 3.80E+26 W.


 * a) 2.063E-08 N
 * b) 2.270E-08 N
 * c) 2.497E-08 N
 * d) 2.746E-08 N
 * e) 3.021E-08 N

181) A circlular capactitor of radius 4.6 m has a gap of 12 mm, and a charge of 45 &mu;C.  What is the electric field between the plates?


 * a) 6.31E+04 N/C (or V/m)
 * b) 7.65E+04 N/C (or V/m)
 * c) 9.26E+04 N/C (or V/m)
 * d) 1.12E+05 N/C (or V/m)
 * e) 1.36E+05 N/C (or V/m)

182) A circlular capactitor of radius 4.4 m has a gap of 17 mm, and a charge of 65 &mu;C.  Compute the surface integral  $$c^{-2}\oint\vec E\cdot d\vec A$$ over an inner face of the capacitor.


 * a) 5.56E-11 Vs2m-1
 * b) 6.74E-11 Vs2m-1
 * c) 8.17E-11 Vs2m-1
 * d) 9.90E-11 Vs2m-1
 * e) 1.20E-10 Vs2m-1

183) A circlular capactitor of radius 4.7 m has a gap of 19 mm, and a charge of 27 &mu;C.  The capacitor is discharged through a  6 k&Omega; resistor.  What is the decay time?


 * a) 1.60E-04 s
 * b) 1.94E-04 s
 * c) 2.35E-04 s
 * d) 2.85E-04 s
 * e) 3.45E-04 s

184) A circlular capactitor of radius 4.6 m has a gap of 18 mm, and a charge of 44 &mu;C.  The capacitor is discharged through a  7 k&Omega; resistor.  What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)


 * a) 6.64E-09 Tesla
 * b) 8.36E-09 Tesla
 * c) 1.05E-08 Tesla
 * d) 1.32E-08 Tesla
 * e) 1.67E-08 Tesla

185) Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * a) how a nearsighted person might see a distant object
 * b) how a farsighted person might see an object that is too close for comfort
 * c) how a farsighted person might see a distant object
 * d) how a nearsighted person might see an object that is too close for comfort

186)  Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * a) how a farsighted person might see a distant object
 * b) how a farsighted person might see an object that is too close for comfort
 * c) how a nearsighted person might see an object that is too close for comfort
 * d) how a nearsighted person might see a distant object

187) In optics, normal means
 * a) to the left of the optical axis
 * b) perpendicular to the surface
 * c) parallel to the surface
 * d) to the right of the optical axis

188) The law of reflection applies to
 * a) only light in a vacuum
 * b) both flat and curved surfaces
 * c) telescopes but not microscopes
 * d) curved surfaces
 * e) flat surfaces

189) When light passes from air to glass
 * a) it bends towards the normal
 * b) it does not bend
 * c) the frequency decreases
 * d) it bends away from the normal
 * e) the frequency increases

190) When light passes from glass to air
 * a) it bends away from the normal
 * b) it bends towards the normal
 * c) it does not bend
 * d) the frequency decreases
 * e) the frequency increases

191) An important principle that allows fiber optics to work is
 * a) the Doppler shift
 * b) partial internal absorption
 * c) total external refraction
 * d) the invariance of the speed of light
 * e) total internal reflection

192) The focal point is where
 * a) the center of the lens
 * b) rays meet whenever they are forming an image
 * c) rays meet if they are parallel to each other
 * d) rays meet whenever they pass through a lens
 * e) rays meet if they were parallel to the optical axis before striking a lens

193) An object is placed 3.5 cm to the left of a diverging lens with a focal length of 5.6 cm. How far is the image from the lens?


 * a) 2.15 x 10-1 cm
 * b) 3.83 x 10-1 cm
 * c) 6.81 x 10-1 cm
 * d) 1.21 x 100 cm
 * e) 2.15 x 100 cm

194) An object is placed 3.55 cm to the left of a converging lens with a focal length of 6.8 cm. How far is the image from the lens?


 * a) 4.18 x 100 cm
 * b) 7.43 x 100 cm
 * c) 1.32 x 101 cm
 * d) 2.35 x 101 cm
 * e) 4.18 x 101 cm

195) An object of height 0.67 cm is placed 106 cm behind a diverging lens with a focal length of 61 cm. What is the height of the image?


 * a) 1.18 x 10-1 cm
 * b) 1.42 x 10-1 cm
 * c) 1.7 x 10-1 cm
 * d) 2.04 x 10-1 cm
 * e) 2.45 x 10-1 cm

196) An object is placed 10.2 cm to the left of a diverging lens with a focal length of 16.6 cm. On the side, at a distance of 5.6 cm from the diverging lens is a converging lens with focal length equal to 4 cm.  How far is the final image from the converging lens?


 * a) 6.02 x 10-1 cm
 * b) 1.9 x 100 cm
 * c) 6.02 x 100 cm
 * d) 1.9 x 101 cm
 * e) 6.02 x 101 cm

197) Which lens has the shorter focal length?
 * a) They have the same focal lengh.
 * b) Ray drawing eye schematic01.svg
 * c) Ray_drawing_eye_schematic.svg

198) If this represents the eye looking at an object, where is this object?
 * a) Two (of the other answers) are true
 * b) directly in front of the eye (almost touching)
 * c) One focal length in front of the eye
 * d) at infinity
 * e) very far away

199) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.
 * a) true
 * b) false

200) Mr. Smith is gazing at something as shown in the figure to the left.  Suppose he does not refocus, but attempts to stare at the star shown in the figures below.  Which diagram depicts how the rays from the star would travel if he does not refocus?
 * a) Ray_drawing_eye_schematic_alternate.svg
 * b) Ray drawing eye Wrong Answer.svg
 * c) Ray drawing eye schematic02.svg

201) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) lose 1 point
 * b) win 3 points
 * c) lose 3 points
 * d) be disqualified for cheating
 * e) win 1 point

202) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) win 1 point
 * b) lose 1 point
 * c) be disqualified for cheating
 * d) win 3 points
 * e) lose 3 points

203) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * a) none of these are true
 * b) K and K&clubs;
 * c) K&spades; and K&clubs;
 * d) K and K&spades;
 * e) two of these are true

204) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following loses?
 * a) none of these are true
 * b) K&spades; and K&clubs;
 * c) K and K&clubs;
 * d) two of these are true
 * e) K and K&spades;

205) If you play the solitaire game 6 times, you will on average win ___ times.
 * a) 2
 * b) 5
 * c) 6
 * d) 4
 * e) 3

206) If you play the solitaire game 3 times, you will on average lose ___ times.
 * a) 5
 * b) 3
 * c) 2
 * d) 1
 * e) 4

207) If you play the solitaire game 6 times, you will on average lose ___ times.
 * a) 3
 * b) 2
 * c) 6
 * d) 4
 * e) 5

208) If you play the solitaire game 3 times, you will on average win ___ times.
 * a) 2
 * b) 4
 * c) 3
 * d) 5
 * e) 1

209) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * a) parallel
 * b) all of these are possible
 * c) at 45 degrees
 * d) perpendicular

210) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) linear or elliptical
 * b) circular or linear
 * c) circular or elliptical
 * d) linearly
 * e) circular

211) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * a) pendulum
 * b) electromagnetic
 * c) both can be created
 * d) electromagnetic or pendulum

212) To create an unpolarized pendulum oscillation
 * a) create an elliptically polarized wave with an &epsilon;<0.8
 * b) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
 * c) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * d) create an elliptically polarized wave with an &epsilon;>0.2

213) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$\sqrt 2$$ what is the length of each side?
 * a) $$\tfrac 1 2$$
 * b) $$\tfrac 1 \sqrt 2$$
 * c) $$2\sqrt 2$$
 * d) $$1$$
 * e) $$\sqrt 2$$

214) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * a) $$2\sqrt 2$$
 * b) $$\sqrt 2$$
 * c) $$1$$
 * d) $$\tfrac 1 \sqrt 2$$
 * e) $$\tfrac 1 2$$

215) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * a) $$ \tfrac 1 4$$
 * b) $$\tfrac 1 \sqrt 2$$
 * c) $$\tfrac \sqrt 3 2$$
 * d) $$\tfrac 1 2$$
 * e) $$\tfrac 3 4$$

216) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * a) $$ \tfrac 1 4$$
 * b) $$\tfrac 1 2$$
 * c) $$\tfrac 3 4$$
 * d) $$\tfrac 1 \sqrt 2$$
 * e) $$\tfrac \sqrt 3 2$$

217) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * a) $$\tfrac 1 2$$
 * b) $$\tfrac 3 4$$
 * c) $$\tfrac 1 \sqrt 2$$
 * d) $$\tfrac 1 4$$
 * e) $$\tfrac \sqrt 3 2$$

218) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 60&deg; to that field?
 * a) $$\tfrac 1 4$$
 * b) $$\tfrac 3 4$$
 * c) $$\tfrac 1 \sqrt 2$$
 * d) $$\tfrac \sqrt 3 2$$
 * e) $$\tfrac 1 2$$

219) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * a) 6mW
 * b) 9mW
 * c) 8mW
 * d) 3mW
 * e) 4mW

220) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 8mW
 * b) 3mW
 * c) 9mW
 * d) 4mW
 * e) 6mW

221) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 6mW
 * b) 8mW
 * c) 3mW
 * d) 4mW
 * e) 9mW

222) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 9mW
 * b) 3mW
 * c) 8mW
 * d) 4mW
 * e) 6mW

223) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 6mW
 * b) 3mW
 * c) 9mW
 * d) 8mW
 * e) 4mW

224) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * a) 1/16
 * b) 1/8
 * c) 3/32
 * d) 3/16
 * e) 1/32

225) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) linearly
 * b) circular
 * c) linear or elliptical
 * d) circular or linear
 * e) circular or elliptical

226) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * a) 3/32
 * b) 3/16
 * c) 1/32
 * d) 1/8
 * e) 1/16

227) If the wavelength &lambda; associated with a photon is cut in half, the photon's energy E
 * a) is cut in half
 * b) is reduced by a factor of 4
 * c) becomes twice as big
 * d) becomes 4 times as big
 * e) stays the same

228) If the wavelength &lambda; associated with a photon doubles, the photon's frequency f
 * a) is reduced by a factor of 4
 * b) is cut in half
 * c) becomes twice as big
 * d) becomes 4 times as big
 * e) stays the same

229) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * a) is cut in half
 * b) stays the same
 * c) is reduced by a factor of 4
 * d) becomes 4 times as big
 * e) becomes twice as big

230) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * a) is reduced by a factor of 4
 * b) becomes 4 times as big
 * c) stays the same
 * d) is cut in half
 * e) becomes twice as big

231) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy
 * a) stays the same
 * b) increases by 4 eV
 * c) decreases by 2 eV
 * d) increases by 2 eV
 * e) decreases by 4 eV

232) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * a) decreases by 4 eV
 * b) stays the same
 * c) increases by 2 eV
 * d) increases by 4 eV
 * e) decreases by 2 eV

233) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * a) less than 3 eV
 * b) equal to 6 eV
 * c) zero
 * d) greater than 3 eV
 * e) equal to 3 eV

234) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?
 * a) measuring spin
 * b) stopping the electron with an applied voltage
 * c) deflecting the electron with a magnetic field
 * d) measuring polarization
 * e) measuring both spin and polarization

235) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * a) increases by 4 eV
 * b) decreases by 2 eV
 * c) stays the same
 * d) decreases by 4 eV
 * e) increases by 2 eV

236) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?
 * a) 4x1018
 * b) 6x1018
 * c) 2x1018
 * d) 1018
 * e) 8x1018

237) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * a) No unique answer exists because two variables are involved (temperature and volume).
 * b) The hotter object has a greater energy density.
 * c) They have the same energy density (since the holes are identical).
 * d) The larger object has a greater energy density.

238) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?
 * a) They both emit the same number of photons (since the holes are identical).
 * b) The object with the greater volume.
 * c) The object with the greater temperature emits more.
 * d) No unique answer exists because two variables are involved (temperature and volume).

239) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?
 * a) No unique answer exists because two variables are involved (temperature and volume).
 * b) They have the same energy (since the holes are identical).
 * c) The larger object has a greater energy.
 * d) The hotter object has a greater energy.

240) This figure is associated with
 * a) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * d) Evidence presented in 1800 that light is a wave.
 * e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

241) This figure is associated with
 * a) Evidence presented in 1800 that light is a wave.
 * b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

242) This figure is associated with
 * a) Evidence presented in 1800 that light is a wave.
 * b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

243) This figure is associated with
 * a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * c) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * e) Evidence presented in 1800 that light is a wave.

244) A photon is polarized at 5&deg; when it encounters a filter oriented at 35&deg;. What is the probability that it passes?
 * a) 0
 * b) 1/4
 * c) 3/4
 * d) 1/2
 * e) 1

245) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * a) 3/4
 * b) 1/4
 * c) 0
 * d) 1/2
 * e) 1

246) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * a) 1
 * b) 0
 * c) 1/4
 * d) 3/4
 * e) 1/2

247) A photon is polarized at 10&deg; when it encounters a filter oriented at 40&deg;. What is the probability that it is blocked?
 * a) 3/4
 * b) 0
 * c) 1/4
 * d) 1/2
 * e) 1

248) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * a) 1
 * b) 1/4
 * c) 1/2
 * d) 0
 * e) 3/4

249) A photon is polarized at 5&deg; when it encounters a filter oriented at 65&deg;. What is the probability that it is blocked?
 * a) 1/2
 * b) 1
 * c) 0
 * d) 1/4
 * e) 3/4

250) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it passes?
 * a) 1
 * b) 0
 * c) 1/2
 * d) 3/4
 * e) 1/4

251) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * a) 1/2
 * b) 1/4
 * c) 3/4
 * d) 0
 * e) 1

252) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 2/5
 * b) 3/5
 * c) 5/6
 * d) 3/4
 * e) 2/4=1/2

253) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 2/5
 * b) 5/6
 * c) 3/5
 * d) 3/4
 * e) 2/4=1/2

254) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * a) 6/5
 * b) 5/6
 * c) 7/5
 * d) 5/4
 * e) 4/5

255) Calculate the quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) +1/5
 * b) +1
 * c) &minus;2/5
 * d) +2/5
 * e) &minus;1/5
 * f) 0

256) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) &minus;1/5
 * b) +1
 * c) &minus;2/5
 * d) 0
 * e) +2/5
 * f) +1/5

257) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
 * a) 1/2
 * b) 5/4
 * c) 3/4
 * d) 0
 * e) 1/4
 * f) 1

258) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
 * a) 3/4
 * b) 0
 * c) 1/2
 * d) 1
 * e) 1/4
 * f) 5/4

259) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * a) 1/4
 * b) 1
 * c) 1/2
 * d) 0
 * e) 3/4
 * f) 5/4

260) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * a) 1/2
 * b) 0
 * c) 3/4
 * d) 5/4
 * e) 1
 * f) 1/4

261) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
 * a) 0
 * b) 5/4
 * c) 3/4
 * d) 1/4
 * e) 1
 * f) 1/2

ALL B1
1) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H$$ at a distance of 6.1m from a wire carrying a current of 5.8A?


 * a) 1.38E-01 A/m
 * b) 1.51E-01 A/m
 * c) 1.66E-01 A/m
 * d) 1.82E-01 A/m
 * e) 1.99E-01 A/m

2) A wire carries a current of 306 A in a circular arc with radius 2.04 cm swept through 55 degrees. Assuming that the rest of the current is 100% shielded by  mu-metal, what is the magnetic field at the center of the arc?


 * a) 3.551E+00 Tesla
 * b) 3.907E+00 Tesla
 * c) 4.297E+00 Tesla
 * d) 4.727E+00 Tesla
 * e) 5.200E+00 Tesla

3) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where$$\mathcal F=$$
 * a) 1/2
 * b) 3/2
 * c) 3
 * d) 2

4) A circlular capactitor of radius 4.7 m has a gap of 19 mm, and a charge of 27 &mu;C.  The capacitor is discharged through a  6 k&Omega; resistor.  What is the decay time?


 * a) 1.60E-04 s
 * b) 1.94E-04 s
 * c) 2.35E-04 s
 * d) 2.85E-04 s
 * e) 3.45E-04 s

5) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * a) all of these are possible
 * b) parallel
 * c) at 45 degrees
 * d) perpendicular

6) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2+1.45z)\rho^2\hat\rho +8.02z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{top}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the top surface of the cylinder.


 * a) 3.742E+02
 * b) 4.534E+02
 * c) 5.493E+02
 * d) 6.655E+02
 * e) 8.063E+02

7) A long solenoid has a length 0.805 meters, radius 4.24 cm, and 536 turns. It surrounds  coil of radius 8.5 meters and 16turns.  If the current in the solenoid is changing at a rate of 278 A/s, what is the emf induced in the surounding coil?


 * a) 6.604E-02 V
 * b) 7.264E-02 V
 * c) 7.990E-02 V
 * d) 8.789E-02 V
 * e) 9.668E-02 V

8) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * a) none of these are correct
 * b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * c) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * d) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * e) $$ r^2\varepsilon_0 E=R^3\rho /3$$

9) What voltage is required to stop a proton moving at a speed of 5.2 x 107 m/s?


 * a) 9.4 x 106 volts
 * b) 1.4 x 107 volts
 * c) 2.1 x 107 volts
 * d) 3.2 x 107 volts
 * e) 4.8 x 107 volts

10) An ac generator produces an emf of amplitude 17 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a  6 mF capacitor?


 * a) 5.253E-02 A
 * b) 5.778E-02 A
 * c) 6.356E-02 A
 * d) 6.991E-02 A
 * e) 7.691E-02 A

11) A torus is centered around the x-y plane, with major radius, a = 6.48 m, and  minor radius, r = 2.16m.  A wire carrying 5A is uniformly wrapped with 930 turns.  If  B=&mu;0H is the magnetic field, what is H inside the torus, at a point on the xy plane that is 0.54m from the outermost edge of the torus?


 * a) 5.31E+01 amps per meter
 * b) 5.73E+01 amps per meter
 * c) 6.19E+01 amps per meter
 * d) 6.68E+01 amps per meter
 * e) 7.21E+01 amps per meter

12) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 433 V.  If the combined external and internal resistance is 275 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 223.0 V?


 * a) 1.104E+01 s
 * b) 1.214E+01 s
 * c) 1.335E+01 s
 * d) 1.469E+01 s
 * e) 1.616E+01 s

13) A step-down transformer steps 15 kV down to 240 V. The high-voltage input is provided by a 200 &Omega; power line that carries 4 A of currentWhat is the output current (at the 240 V side ?)


 * a) 1.708E+02 A
 * b) 1.878E+02 A
 * c) 2.066E+02 A
 * d) 2.273E+02 A
 * e) 2.500E+02 A

14) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{6}{3}\Omega$$.
 * b) $$\frac{6}{11}\Omega$$.
 * c) $$\frac{3}{6}\Omega$$.
 * d) $$\frac{11}{6}\Omega$$.

15) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?
 * a) 3 Joules
 * b) 25 Joules
 * c) None of these are true
 * d) 5 Joules

16) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) linear or elliptical
 * b) circular or linear
 * c) circular
 * d) linearly
 * e) circular or elliptical

17) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal.  To counter the magnetic force, a voltage is applied between two large parallel plates that are 59  mm apart.  What must be the applied voltage if the magnetic field is 45&mu;T?


 * a) 1.1 x 100 volts
 * b) 3.6 x 100 volts
 * c) 1.1 x 101 volts
 * d) 3.6 x 101 volts
 * e) 1.1 x 102 volts

18) How fast is a 2758 eV electron moving?


 * a) 9.2 x 106 m/s.
 * b) 1.4 x 107 m/s.
 * c) 2.1 x 107 m/s.
 * d) 3.1 x 107 m/s.
 * e) 4.7 x 107 m/s.

19) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 3/4
 * b) 2/5
 * c) 5/6
 * d) 2/4=1/2
 * e) 3/5

20) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * a) decreases by 4 eV
 * b) stays the same
 * c) decreases by 2 eV
 * d) increases by 2 eV
 * e) increases by 4 eV

21) A 130 Watt DC motor draws 0.3 amps of current. What is effective resistance?


 * a) 8.12 x 102 &Omega;
 * b) 9.84 x 102 &Omega;
 * c) 1.19 x 103 &Omega;
 * d) 1.44 x 103 &Omega;
 * e) 1.75 x 103 &Omega;

22) A washer has an inner diameter of 2.46 cm and an outer diamter of 4.24 cm. The thickness is $$h=Cr^{-n}$$ where $$r$$ is measured in cm, $$C=4.32mm$$, and $$n=2.63$$. What is the volume of the washer?


 * a) 7.499E-01 cm3
 * b) 8.249E-01 cm3
 * c) 9.074E-01 cm3
 * d) 9.982E-01 cm3
 * e) 1.098E+00 cm3

23) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy
 * a) stays the same
 * b) decreases by 2 eV
 * c) increases by 4 eV
 * d) increases by 2 eV
 * e) decreases by 4 eV

24) What is the magnitude of the electric field at the origin if a 1.2 nC charge is placed at x = 5.9 m, and a 3.1 nC charge is placed at y = 6.1 m?


 * a) 7.02 x 10-1N/C
 * b) 8.11 x 10-1N/C
 * c) 9.36 x 10-1N/C
 * d) 1.08 x 100N/C
 * e) 1.25 x 100N/C

25) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.43 kA, I2=1.64 kA, and I3=4.81 kA, take the $$\beta$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * a) 2.721E-03 T-m
 * b) 2.993E-03 T-m
 * c) 3.292E-03 T-m
 * d) 3.621E-03 T-m
 * e) 3.984E-03 T-m

26) If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope?
 * a) Power.
 * b) None of these are true.
 * c) Resistance.
 * d) Discriminant.

27) Three resistors, R1 = 1.82 &Omega;, and R2 = R2 = 4.14 &Omega;, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 1.754E+01 W
 * b) 1.929E+01 W
 * c) 2.122E+01 W
 * d) 2.335E+01 W
 * e) 2.568E+01 W

28) The current through the windings of a solenoid with n= 2.220E+03 turns per meter is changing at a rate dI/dt=10 A/s. The solenoid is 70 cm long and has a cross-sectional diameter of 2.73 cm.  A small coil consisting of N=28turns wraped in a circle of diameter 1.45 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil.  What is the emf induced in the coil?


 * a) 1.066E-04 V
 * b) 1.173E-04 V
 * c) 1.290E-04 V
 * d) 1.419E-04 V
 * e) 1.561E-04 V

29) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) none of these are correct
 * b) $$\varepsilon_0 E = H\rho /2$$
 * c) $$\varepsilon_0 E=  H\rho z$$
 * d) $$\varepsilon_0 E=  H\rho $$
 * e) $$\varepsilon_0 E=   \rho z $$

30) Two resistors are in parallel with a voltage source. How do their voltages compare?
 * a) The voltage across both resistors is half the voltage of the source.
 * b) The voltage across both resistors is the same as the source.
 * c) None of these are true.
 * d) One has full voltage, the other has none.

31) Calculate the resistance of a 12-gauge copper wire that is 19 m long and carries a current of 59 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * a) 7.970E-02 &Omega;
 * b) 8.767E-02 &Omega;
 * c) 9.644E-02 &Omega;
 * d) 1.061E-01 &Omega;
 * e) 1.167E-01 &Omega;

32) An object is placed 10.9 cm to the left of a diverging lens with a focal length of 16.3 cm. On the side, at a distance of 5.7 cm from the diverging lens is a converging lens with focal length equal to 4 cm.  How far is the final image from the converging lens?


 * a) 1.88 x 100 cm
 * b) 5.94 x 100 cm
 * c) 1.88 x 101 cm
 * d) 5.94 x 101 cm
 * e) 1.88 x 102 cm

33) Two orbiting satellites are orbiting at a speed of 66 km/s perpendicular to a magnetic field of 64 &mu;T. They are connected by a cable that is 37 km long.  A voltmeter is attached between a satellite and one end of the cable.  The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit.  What is the measured voltage?


 * a) 1.29 x 105 volts.
 * b) 1.56 x 105 volts.
 * c) 1.89 x 105 volts.
 * d) 2.29 x 105 volts.
 * e) 2.78 x 105 volts.

34) A 65 &mu;F capacitor is connected in series to a 414 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 1.08 x 101 s.
 * b) 3.4 x 101 s.
 * c) 1.08 x 102 s.
 * d) 3.4 x 102 s.
 * e) 1.08 x 103 s.

35) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * a) The larger object has a greater energy density.
 * b) The hotter object has a greater energy density.
 * c) They have the same energy density (since the holes are identical).
 * d) No unique answer exists because two variables are involved (temperature and volume).

36) A power supply delivers 145 watts of power to a 132 ohm resistor.  What was the applied voltage?


 * a) 6.42 x 101 volts
 * b) 7.78 x 101 volts
 * c) 9.43 x 101 volts
 * d) 1.14 x 102 volts
 * e) 1.38 x 102 volts

37) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * a) 1
 * b) 1/2
 * c) 1/4
 * d) 3/4
 * e) 0

38) Calculate the quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) 0
 * b) +1/5
 * c) &minus;2/5
 * d) &minus;1/5
 * e) +1
 * f) +2/5

39) A 10 F capacitor is connected in series to a 10&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 4 x 100 s.
 * b) 1.26 x 101 s.
 * c) 4 x 101 s.
 * d) 1.26 x 102 s.
 * e) 4 x 102 s.

40) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 &deg; to a uniform magnetic fied of 0.193 T?


 * a) 6.257E-07 N m
 * b) 6.882E-07 N m
 * c) 7.570E-07 N m
 * d) 8.327E-07 N m
 * e) 9.160E-07 N m

41) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=6\times 10^{-7}\text{m}$$. What is the magnitude of the net force on $$q_2$$ if $$q_1=3e$$, $$q_2=-7e$$, and $$q_3=5e$$?


 * a) 9.958E-15 N
 * b) 1.095E-14 N
 * c) 1.205E-14 N
 * d) 1.325E-14 N
 * e) 1.458E-14 N

42) In optics, normal means
 * a) to the left of the optical axis
 * b) parallel to the surface
 * c) perpendicular to the surface
 * d) to the right of the optical axis

43) What is the radiation pressure on an object that is 2.40E+11 m away from the sun and has cross-sectional area of 0.052 m2? The average power output of the Sun is 3.80E+26 W.


 * a) 2.392E-06 N/m2
 * b) 2.631E-06 N/m2
 * c) 2.894E-06 N/m2
 * d) 3.184E-06 N/m2
 * e) 3.502E-06 N/m2

44) A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed?
 * a) 1.67 Watts
 * b) 2.5 Watts
 * c) None of these are ture.
 * d) 11.67 Joules

45) An ideal 5.9 volt battery is connected to a 0.059 ohm resistor.  To measure the current an ammeter with a resistance of 24$$m\Omega$$ is used.  What current does the ammeter actually read?


 * a) 71.1 A.
 * b) 81.7 A.
 * c) 94 A.
 * d) 108.1 A.
 * e) 124.3 A.

46) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 4.342E+00 V
 * b) 4.776E+00 V
 * c) 5.254E+00 V
 * d) 5.779E+00 V
 * e) 6.357E+00 V

47) The output of an ac generator connected to an RLC series combination has a frequency of 470 Hz and an amplitude of 0.67 V;. If R =4 &Omega;, L= 2.40E-03H, and C=5.10E-04 F, what is the impedance?


 * a) 6.254E+00 &Omega;
 * b) 6.879E+00 &Omega;
 * c) 7.567E+00 &Omega;
 * d) 8.324E+00 &Omega;
 * e) 9.156E+00 &Omega;

48) What voltage is required accelerate an electron at rest to a speed of 1.7 x 105 m/s?


 * a) 1.6 x 10-2 volts
 * b) 2.4 x 10-2 volts
 * c) 3.7 x 10-2 volts
 * d) 5.5 x 10-2 volts
 * e) 8.2 x 10-2 volts

49) The focal point is where
 * a) rays meet whenever they pass through a lens
 * b) rays meet if they are parallel to each other
 * c) the center of the lens
 * d) rays meet whenever they are forming an image
 * e) rays meet if they were parallel to the optical axis before striking a lens

50) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * a) 0
 * b) 1/4
 * c) 1
 * d) 1/2
 * e) 3/4

51) The output of an ac generator connected to an RLC series combination has a frequency of 320 Hz and an amplitude of 0.69 V;. If R =6 &Omega;, L= 6.80E-03H, and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?


 * a) 1.143E+00 &rad;
 * b) 1.257E+00 &rad;
 * c) 1.382E+00 &rad;
 * d) 1.521E+00 &rad;
 * e) 1.673E+00 &rad;

52) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) +2/5
 * b) &minus;1/5
 * c) +1/5
 * d) 0
 * e) +1
 * f) &minus;2/5

53) A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?
 * a) I = 5A &  P = 9W
 * b) I = 5A &  P = 5W.
 * c) I = 5A &  P = 3W.
 * d) I = 5A &  P = 25W.

54) A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?
 * a) 15V.
 * b) 2V.
 * c) 0.5V.
 * d) 10V.

55) What is the current through R1, R2, R3, and R4 in the figure shown?
 * a) $$I_1 = 10A$$; $$I_2 = 50A$$; $$I_3 = 33A$$; $$I_4 = 25A$$..
 * b) $$I_1 = 0.25A$$; $$I_2 = 0.33A$$; $$I_3 = 0.5A$$; $$I_4 = 0.1A$$.
 * c) $$I_1 = 1A$$; $$I_2 = 0.5A$$; $$I_3 = 0.33A$$; $$I_4 = 0.25A$$.
 * d) $$I_1 = 1A$$; $$I_2 = 5A$$; $$I_3 = 3.3A$$; $$I_4 = 2.5A$$.

56) A make-believe metal has a density of 1.510E+04 kg/m3 and an atomic mass of 33.6 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.


 * a) 2.236E+29 e&minus;/m3
 * b) 2.459E+29 e&minus;/m3
 * c) 2.705E+29 e&minus;/m3
 * d) 2.976E+29 e&minus;/m3
 * e) 3.274E+29 e&minus;/m3

57) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 4
 * b) 8&minus;s
 * c) s&minus;4
 * d) 4&minus;s
 * e) s&minus;8

58) In an LC circuit, the self-inductance is 0.0399 H and the capacitance is 8.450E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.480E-05 C. How long does it take for the capacitor to become completely discharged?


 * a) 6.230E-04 s
 * b) 6.853E-04 s
 * c) 7.538E-04 s
 * d) 8.292E-04 s
 * e) 9.121E-04 s

59) In the circuit shown V=11.9 V, R1=2.75 &Omega;, R2=7.19 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * a) 7.982E+00 W
 * b) 8.780E+00 W
 * c) 9.658E+00 W
 * d) 1.062E+01 W
 * e) 1.169E+01 W

60) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) s&minus;8
 * b) s&minus;4
 * c) 8&minus;s
 * d) 4&minus;s
 * e) 4

61) A battery has an emf of 5.5 volts, and an internal resistance of 296 $$k\Omega$$. It is connected to a 3.3 $$M\Omega$$ resistor.  What power is developed in the 3.3  $$M\Omega$$ resistor?


 * a) 7.72 $$\mu$$W.
 * b) 8.88 $$\mu$$W.
 * c) 10.21 $$\mu$$W.
 * d) 11.74 $$\mu$$W.
 * e) 13.5 $$\mu$$W.

62) What angle does the electric field at the origin make with the x-axis if a 2.9 nC charge is placed at x = -7.3 m, and a 1.7  nC charge is placed at y = -8.1 m?


 * a) 2.55 x 101degrees
 * b) 2.94 x 101degrees
 * c) 3.4 x 101degrees
 * d) 3.92 x 101degrees
 * e) 4.53 x 101degrees

63) A very long and thin solenoid has 2994 turns and is 180 meters long. The wire carrys a current of 9.3A. If this solenoid is sufficiently thin, what is the line integral of$$\int \vec H\cdot\vec{d\ell}$$ along an on-axis path that starts 43 meters from the center and stops 101 meters from the center?


 * a) 6.63E+03 A
 * b) 7.27E+03 A
 * c) 7.97E+03 A
 * d) 8.74E+03 A
 * e) 9.58E+03 A

64) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * a) stays the same
 * b) decreases by 2 eV
 * c) increases by 4 eV
 * d) decreases by 4 eV
 * e) increases by 2 eV

65) If the wavelength &lambda; associated with a photon doubles, the photon's frequency f
 * a) becomes 4 times as big
 * b) is cut in half
 * c) becomes twice as big
 * d) stays the same
 * e) is reduced by a factor of 4

66) When light passes from glass to air
 * a) the frequency increases
 * b) it bends away from the normal
 * c) it does not bend
 * d) it bends towards the normal
 * e) the frequency decreases

67) Calculate the electric field in a 12-gauge copper wire that is 25 m long and carries a current of 43 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * a) 2.182E-04 V/m
 * b) 2.401E-04 V/m
 * c) 2.641E-04 V/m
 * d) 2.905E-04 V/m
 * e) 3.195E-04 V/m

68) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * a) 4/5
 * b) 6/5
 * c) 7/5
 * d) 5/6
 * e) 5/4

69) A very long and thin solenoid has 2762 turns and is 142 meters long. The wire carrys a current of 9.7A. What is the magnetic field in the center?


 * a) 2.37E-04 Tesla
 * b) 2.60E-04 Tesla
 * c) 2.85E-04 Tesla
 * d) 3.13E-04 Tesla
 * e) 3.43E-04 Tesla

70) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * a) 8mW
 * b) 6mW
 * c) 3mW
 * d) 9mW
 * e) 4mW

71) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H_y$$ at the point (7.8338,2.4233) if a current of 7.2A flows through a wire that runs along the z axis?


 * a) 1.01E-01 A/m
 * b) 1.11E-01 A/m
 * c) 1.22E-01 A/m
 * d) 1.34E-01 A/m
 * e) 1.46E-01 A/m

72) Two large parallel conducting plates are separated by 9.71 mm. Equal and opposite surface charges of 7.550E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?


 * a) 7.444E-01 mm
 * b) 8.561E-01 mm
 * c) 9.845E-01 mm
 * d) 1.132E+00 mm
 * e) 1.302E+00 mm

73) In the figure shown C1=18.0 &mu;F, C2=2.88 &mu;F, and C3=5.34 &mu;F. The voltage source provides &epsilon;=11.9 V. What is the charge on C1?


 * a) 5.045E+01 &mu;C
 * b) 5.550E+01 &mu;C
 * c) 6.105E+01 &mu;C
 * d) 6.715E+01 &mu;C
 * e) 7.387E+01 &mu;C

74) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$
 * a) 3
 * b) s&minus;3
 * c) s&minus;7
 * d) 3&minus;s
 * e) 7&minus;s

75) A 12.0 V battery can move 11,000 C of charge. How many Joules does it deliver?


 * a) 9.016E+04 J
 * b) 9.917E+04 J
 * c) 1.091E+05 J
 * d) 1.200E+05 J
 * e) 1.320E+05 J

76) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * a) 1/2
 * b) 1/4
 * c) 3/4
 * d) 0
 * e) 1

77) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 8mW
 * b) 3mW
 * c) 6mW
 * d) 9mW
 * e) 4mW

78) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a  34 mF inductor?


 * a) 3.908E+00 A
 * b) 4.298E+00 A
 * c) 4.728E+00 A
 * d) 5.201E+00 A
 * e) 5.721E+00 A

79) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?
 * a) The hotter object has a greater energy.
 * b) They have the same energy (since the holes are identical).
 * c) The larger object has a greater energy.
 * d) No unique answer exists because two variables are involved (temperature and volume).

80) An object is placed 6.3 cm to the left of a diverging lens with a focal length of 8.9 cm. How far is the image from the lens?


 * a) 1.17 x 100 cm
 * b) 2.07 x 100 cm
 * c) 3.69 x 100 cm
 * d) 6.56 x 100 cm
 * e) 1.17 x 101 cm

81) A 27 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.85 T. What current is required to maintain this balance?


 * a) 3.106E-01 A
 * b) 3.416E-01 A
 * c) 3.758E-01 A
 * d) 4.134E-01 A
 * e) 4.547E-01 A

82) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) s&minus;7
 * b) 8
 * c) 7&minus;s
 * d) 3&minus;s
 * e) s&minus;3

83) A resistor has 10 volts across it and 4 amps going through it. What is its resistance?
 * a) $$2.5\Omega.$$
 * b) $$3.5\Omega.$$
 * c) $$4.5\Omega.$$
 * d) None of these are true.

84) Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =7.72 s if &epsilon; = 2.79 V, R = 1.56 &Omega;, and L = 3.16 H?


 * a) 1.214E+00 V
 * b) 1.457E+00 V
 * c) 1.749E+00 V
 * d) 2.099E+00 V
 * e) 2.518E+00 V

85) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?
 * a) 8W
 * b) 2.2W
 * c) 3W
 * d) 24W

86) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 3mW
 * b) 6mW
 * c) 4mW
 * d) 9mW
 * e) 8mW

87) If this represents the eye looking at an object, where is this object?
 * a) directly in front of the eye (almost touching)
 * b) at infinity
 * c) very far away
 * d) Two (of the other answers) are true
 * e) One focal length in front of the eye

88) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * a) equal to 3 eV
 * b) greater than 3 eV
 * c) equal to 6 eV
 * d) less than 3 eV
 * e) zero

89) What is the average current involved when a truck battery sets in motion 618 C of charge in 2.28 s while starting an engine?


 * a) 2.240E+02 A
 * b) 2.464E+02 A
 * c) 2.711E+02 A
 * d) 2.982E+02 A
 * e) 3.280E+02 A

90) The output of an ac generator connected to an RLC series combination has a frequency of 3.60E+04 Hz and an amplitude of 9 V. If R =2 &Omega;, L= 7.60E-03H, and C=7.50E-06 F, what is the rms power transferred to the resistor?


 * a) 1.011E-03 Watts
 * b) 1.112E-03 Watts
 * c) 1.223E-03 Watts
 * d) 1.345E-03 Watts
 * e) 1.480E-03 Watts

91) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) s&minus;1
 * b) 5
 * c) 1&minus;s
 * d) 5&minus;s
 * e) s&minus;4

92) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm.  What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?


 * a) 5.14 x 10-5 Volts
 * b) 1.62 x 10-4 Volts
 * c) 5.14 x 10-4 Volts
 * d) 1.62 x 10-3 Volts
 * e) 5.14 x 10-3 Volts

93) Assume that a 17 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and  P2 where the polar coordinates (r,&phi;) of  P1 are  (6 cm, 0&deg;) and  P2 is at (15 cm, 48&deg;).


 * a) 1.528E+03 V
 * b) 1.681E+03 V
 * c) 1.849E+03 V
 * d) 2.034E+03 V
 * e) 2.237E+03 V

94) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) lose 3 points
 * b) win 3 points
 * c) be disqualified for cheating
 * d) lose 1 point
 * e) win 1 point

95) If you play the solitaire game 3 times, you will on average lose ___ times.
 * a) 5
 * b) 4
 * c) 3
 * d) 2
 * e) 1

96) Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is  opened as as S2 is closed.  How long will it take for the energy stored in the inductor to be reduced to 1.65% of its maximum value if &epsilon; = 3.62 V, R = 4.07 &Omega;, and L = 7.19 H?


 * a) -2.476E+00 s
 * b) -2.724E+00 s
 * c) -2.996E+00 s
 * d) -3.296E+00 s
 * e) -3.625E+00 s

97) If the wavelength &lambda; associated with a photon is cut in half, the photon's energy E
 * a) is cut in half
 * b) stays the same
 * c) becomes twice as big
 * d) is reduced by a factor of 4
 * e) becomes 4 times as big

98) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following loses?
 * a) K and K&clubs;
 * b) K and K&spades;
 * c) two of these are true
 * d) none of these are true
 * e) K&spades; and K&clubs;

99)  Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * a) how a farsighted person might see a distant object
 * b) how a nearsighted person might see a distant object
 * c) how a nearsighted person might see an object that is too close for comfort
 * d) how a farsighted person might see an object that is too close for comfort

100) H is defined by, B=&mu;0H, where B is magnetic field. A current of 37A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,8.4) to the point (8.4,0).


 * a) 8.44E+00 amps
 * b) 9.25E+00 amps
 * c) 1.01E+01 amps
 * d) 1.11E+01 amps
 * e) 1.22E+01 amps

101) Mr. Smith is gazing at something as shown in the figure to the left.  Suppose he does not refocus, but attempts to stare at the star shown in the figures below.  Which diagram depicts how the rays from the star would travel if he does not refocus?
 * a) Ray drawing eye Wrong Answer.svg
 * b) Ray_drawing_eye_schematic_alternate.svg
 * c) Ray drawing eye schematic02.svg

102) H is defined by, B=&mu;0H, where B is magnetic field. A current of 77A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point ( - 9.8, 9.8) to the point (9.8, 9.8).


 * a) 1.60E+01 amps
 * b) 1.76E+01 amps
 * c) 1.93E+01 amps
 * d) 2.11E+01 amps
 * e) 2.31E+01 amps

103) A 819 mF capacitor is connected in series to a 798 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 8.27 x 105 s.
 * b) 2.61 x 106 s.
 * c) 8.27 x 106 s.
 * d) 2.61 x 107 s.
 * e) 8.27 x 107 s.

104) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * a) none of these are correct
 * b) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * c) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * d) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * e) $$ r^2\varepsilon_0 E=r^3\rho /2$$

105) The law of reflection applies to
 * a) telescopes but not microscopes
 * b) both flat and curved surfaces
 * c) flat surfaces
 * d) only light in a vacuum
 * e) curved surfaces

106) An loop of wire with 33 turns has a radius of 0.55 meters, and is oriented with its axis parallel to a magetic field of 0.74 Tesla. What is the induced voltage if this field is reduced to  32% of its original value in 2.4 seconds?


 * a) 5.43 x 100 volts
 * b) 6.58 x 100 volts
 * c) 7.97 x 100 volts
 * d) 9.65 x 100 volts
 * e) 1.17 x 101 volts

107) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * a) $$\tfrac 1 \sqrt 2$$
 * b) $$\tfrac \sqrt 3 2$$
 * c) $$\tfrac 1 2$$
 * d) $$\tfrac 1 4$$
 * e) $$\tfrac 3 4$$

108) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?
 * a) $$R_1 = 125V$$ and $$R_2 = 125V$$.
 * b) None of these are true.
 * c) $$R_1 = 250V$$ and $$R_2 = 0V$$.
 * d) $$R_1 = 150V$$ and $$R_2 = 100V$$.

109) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * a) 1/16
 * b) 1/8
 * c) 3/16
 * d) 3/32
 * e) 1/32

110) If you play the solitaire game 6 times, you will on average win ___ times.
 * a) 3
 * b) 4
 * c) 6
 * d) 5
 * e) 2

111) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?


 * a) 1.28 J.
 * b) 1.47 J.
 * c) 1.69 J.
 * d) 1.94 J.
 * e) 2.24 J.

112) This figure is associated with
 * a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * b) Evidence presented in 1800 that light is a wave.
 * c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

113) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 9 &minus; s
 * b) s &minus; 2
 * c) 2
 * d) 2 &minus; s
 * e) s &minus; 9

114) The same parallel plate capacitor, with area 1.15 m2, plate separation  0.63mm, and an applied voltage of 2.25 kV.  How much charge is stored?


 * a) 23.91 &mu;C.
 * b) 27.5 &mu;C.
 * c) 31.62 &mu;C.
 * d) 36.37 &mu;C.
 * e) 41.82 &mu;C.

115) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 5/6
 * b) 2/4=1/2
 * c) 3/4
 * d) 2/5
 * e) 3/5

116) A square coil has sides that are L= 0.308 m long and is tightly wound with N=969 turns of wire. The resistance of the coil is R=8.64 &Omega;. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0498 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?


 * a) 4.817E-01 A
 * b) 5.298E-01 A
 * c) 5.828E-01 A
 * d) 6.411E-01 A
 * e) 7.052E-01 A

117) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?
 * a) The object with the greater temperature emits more.
 * b) The object with the greater volume.
 * c) No unique answer exists because two variables are involved (temperature and volume).
 * d) They both emit the same number of photons (since the holes are identical).

118) A circlular capactitor of radius 3.7 m has a gap of 8 mm, and a charge of 89 &mu;C.  What is the electric field between the plates?


 * a) 1.93E+05 N/C (or V/m)
 * b) 2.34E+05 N/C (or V/m)
 * c) 2.83E+05 N/C (or V/m)
 * d) 3.43E+05 N/C (or V/m)
 * e) 4.16E+05 N/C (or V/m)

119) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.9 m, y=y1=5.3 m, z=z0=1.4 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 8.2m2 ,and those in the zx plane have area 9.8m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 58&deg; from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 6.270E+01 N&middot;m2/C
 * b) 6.897E+01 N&middot;m2/C
 * c) 7.586E+01 N&middot;m2/C
 * d) 8.345E+01 N&middot;m2/C
 * e) 9.179E+01 N&middot;m2/C

120) A parallel plate capacitor has both plates with an area of 1.15 m2. The separation between the plates is  0.63mm.  Applied to the plates is a potential difference of 2.25 kV.  What is the capacitance?


 * a) 16.16 nF.
 * b) 18.59 nF.
 * c) 21.37 nF.
 * d) 24.58 nF.
 * e) 28.27 nF.

121) A cylinder of radius, r=3, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.28+1.72z)\rho^3\hat\rho +7.33z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{side}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the curved side surface of the cylinder.


 * a) 3.232E+03
 * b) 3.915E+03
 * c) 4.743E+03
 * d) 5.747E+03
 * e) 6.962E+03

122) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=9, y=0), (x=0, y=9), and (x=9, y=9), where x and y are measured in meters. The electric field is, $$\vec E=3y^{2.8}\hat i +1x^{2.3}\hat j +2y^{2.9}\hat k$$


 * a) 2.210E+04 V&middot;m
 * b) 2.431E+04 V&middot;m
 * c) 2.674E+04 V&middot;m
 * d) 2.941E+04 V&middot;m
 * e) 3.235E+04 V&middot;m

123) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * a) $$2\varepsilon_0 E = r\rho $$
 * b) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * c) none of these are correct
 * d) $$2r\varepsilon_0 E = R^2\rho $$
 * e) $$2R\varepsilon_0 E=  r^2\rho $$

124) Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * a) how a farsighted person might see an object that is too close for comfort
 * b) how a farsighted person might see a distant object
 * c) how a nearsighted person might see a distant object
 * d) how a nearsighted person might see an object that is too close for comfort

125) The charge passing a plane intersecting a wire is $$Q_M=\left(1-e^{t/\tau}\right)$$, where $$Q_M$$=16 C  and $$\tau=$$0.0214 s. What is the current at $$t=$$0.0207 s?


 * a) 2.135E+02 A
 * b) 2.349E+02 A
 * c) 2.584E+02 A
 * d) 2.842E+02 A
 * e) 3.126E+02 A

126) Two parallel wires each carry a 7.59 mA current and are oriented in the z direction. The first wire is located in the x-y   plane at (3.98 cm, 0.969 cm), while the other is located at (5.13 cm, 5.53 cm). What is the force per unit length between the wires?


 * a) 1.840E-10 N/m
 * b) 2.024E-10 N/m
 * c) 2.227E-10 N/m
 * d) 2.449E-10 N/m
 * e) 2.694E-10 N/m

127) This figure is associated with
 * a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * d) Evidence presented in 1800 that light is a wave.
 * e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

128) A 3 C charge is separated from a 7 C charge by distance of 10 cm.  What is the work done by increasing this separation to 15 cm?


 * a) 5.199E-07 J
 * b) 5.719E-07 J
 * c) 6.291E-07 J
 * d) 6.920E-07 J
 * e) 7.612E-07 J

129) A recangular coil with an area of 0.897 m2 and 8 turns is placed in a uniform magnetic field of 2.83 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 8.740E+03 s&minus;1.  What is the magnitude (absolute value) of the induced emf at t = 3 s?


 * a) 4.695E+04 V
 * b) 5.165E+04 V
 * c) 5.681E+04 V
 * d) 6.249E+04 V
 * e) 6.874E+04 V

130) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * a) 1/32
 * b) 3/32
 * c) 1/16
 * d) 1/8
 * e) 3/16

131) H is defined by, B=&mu;0H, where B is magnetic field. A current of 48A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,8.4) to the point (8.4,8.4).


 * a) 5.47E+00 amps
 * b) 6.00E+00 amps
 * c) 6.58E+00 amps
 * d) 7.21E+00 amps
 * e) 7.91E+00 amps

132) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal F=$$:
 * a) 2
 * b) 3
 * c) 3/2
 * d) 2/3
 * e) 1/2

133) A long solenoid has a radius of 0.8 m and 77 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$5 A and $$\alpha=$$28 s&minus;1.What is the induced electric fied at a distance 2.2 m from the axis at time t=0.0757 s ?


 * a) 1.616E-04 V/m
 * b) 1.778E-04 V/m
 * c) 1.955E-04 V/m
 * d) 2.151E-04 V/m
 * e) 2.366E-04 V/m

134) Two sources of emf &epsilon;1=43.0 V, and  &epsilon;2=13.8 V are oriented as shownin the circuit. The resistances are R1=3.97 k&Omega; and  R2=1.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.25 mA and I4=1.82 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 3.661E+00 mA
 * b) 4.027E+00 mA
 * c) 4.430E+00 mA
 * d) 4.873E+00 mA
 * e) 5.360E+00 mA

135) $$E_z(x=0,z)=\int_{-a}^b f(x,z)dx$$ is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m.  Evaluate $$f(x,y)$$ at x=0.52 m if a=0.88 m, b=1.3 m.  The total charge on the rod is 6 nC.


 * a) 6.804E+00 V/m2
 * b) 7.485E+00 V/m2
 * c) 8.233E+00 V/m2
 * d) 9.056E+00 V/m2
 * e) 9.962E+00 V/m2

136) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?
 * a) measuring polarization
 * b) stopping the electron with an applied voltage
 * c) measuring both spin and polarization
 * d) measuring spin
 * e) deflecting the electron with a magnetic field

137) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$\sqrt 2$$ what is the length of each side?
 * a) $$1$$
 * b) $$\tfrac 1 2$$
 * c) $$\sqrt 2$$
 * d) $$2\sqrt 2$$
 * e) $$\tfrac 1 \sqrt 2$$

138) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * a) both can be created
 * b) electromagnetic
 * c) pendulum
 * d) electromagnetic or pendulum

139) A circlular capactitor of radius 3.8 m has a gap of 14 mm, and a charge of 61 &mu;C.  Compute the surface integral  $$c^{-2}\oint\vec E\cdot d\vec A$$ over an inner face of the capacitor.


 * a) 7.67E-11 Vs2m-1
 * b) 9.29E-11 Vs2m-1
 * c) 1.13E-10 Vs2m-1
 * d) 1.36E-10 Vs2m-1
 * e) 1.65E-10 Vs2m-1

140) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal A=$$:
 * a) 8
 * b) 2
 * c) 4
 * d) 1/2

141) A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{7}{11}\Omega$$.
 * b) $$\frac{10}{21}\Omega$$.
 * c) $$\frac{11}{7}\Omega$$.
 * d) $$\frac{21}{10}\Omega$$.

142) A 8.1 ohm resistor is connected in series to a pair of 5.2 ohm resistors that are in parallel.  What is the net resistance?


 * a) 6.1 ohms.
 * b) 7 ohms.
 * c) 8.1 ohms.
 * d) 9.3 ohms.
 * e) 10.7 ohms.

143) To create an unpolarized pendulum oscillation
 * a) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * b) create an elliptically polarized wave with an &epsilon;<0.8
 * c) create an elliptically polarized wave with an &epsilon;>0.2
 * d) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations

144) Under most conditions the current is distributed uniformly over the cross section of the wire.  What is the magnetic field 2.26 mm from the center of a wire of radius 5 mm if the current is 1A?


 * a) 1.494E-05 T
 * b) 1.644E-05 T
 * c) 1.808E-05 T
 * d) 1.989E-05 T
 * e) 2.188E-05 T

145) An ideal 3.1 V voltage source is connected to two resistors in parallel.  One is 1.5$$k\Omega$$, and the other is 2.2 $$k\Omega$$.  What is the current through the larger resistor?


 * a) 0.55 mA.
 * b) 0.63 mA.
 * c) 0.73 mA.
 * d) 0.84 mA.
 * e) 0.96 mA.

146) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * a) 0
 * b) 1/2
 * c) 1/4
 * d) 3/4
 * e) 5/4
 * f) 1

147) An important principle that allows fiber optics to work is
 * a) the Doppler shift
 * b) total external refraction
 * c) the invariance of the speed of light
 * d) total internal reflection
 * e) partial internal absorption

148) An alpha-particle (m=6.64x10&minus;27kg, q=3.2x10&minus;19C) briefly enters a uniform magnetic field of magnitude 0.0887 T . It emerges after being deflected by 69&deg; from its original direction. How much time did it spend in that magnetic field?


 * a) 2.561E-07 s
 * b) 2.817E-07 s
 * c) 3.099E-07 s
 * d) 3.409E-07 s
 * e) 3.750E-07 s

149) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) circular or linear
 * b) circular or elliptical
 * c) linear or elliptical
 * d) circular
 * e) linearly

150) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * a) $$\sqrt 2$$
 * b) $$\tfrac 1 2$$
 * c) $$\tfrac 1 \sqrt 2$$
 * d) $$1$$
 * e) $$2\sqrt 2$$

151) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?
 * a) None these are correct
 * b) Voltage is a measure of Electric Potential difference between two electrical points.
 * c) The other point could be Negative or positive.
 * d) It's an Electrical Cliche.

152) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
 * a) 1
 * b) 3/4
 * c) 0
 * d) 1/4
 * e) 1/2
 * f) 5/4

153) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 6mW
 * b) 4mW
 * c) 3mW
 * d) 8mW
 * e) 9mW

154) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * a) $$\tfrac \sqrt 3 2$$
 * b) $$\tfrac 1 \sqrt 2$$
 * c) $$\tfrac 1 2$$
 * d) $$\tfrac 3 4$$
 * e) $$ \tfrac 1 4$$

155) A DC winch moter draws 24 amps at 159 volts as it lifts a 4.120E+03 N weight at a constant speed of 0.657 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.


 * a) 1.447E+00 &Omega;
 * b) 1.591E+00 &Omega;
 * c) 1.751E+00 &Omega;
 * d) 1.926E+00 &Omega;
 * e) 2.118E+00 &Omega;

156) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at  (x,y) =( 5a, 4a) is &beta;kQ/a2, where &beta; equals


 * a) 1.76 x 10-3 unit
 * b) 2.13 x 10-3 unit
 * c) 2.59 x 10-3 unit
 * d) 3.13 x 10-3 unit
 * e) 3.79 x 10-3 unit

157) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=6\times 10^{-7}\text{m}$$.what angle does the force on $$q_2$$ make above the $$-x$$ axis if $$q_1=3e$$, $$q_2=-8e$$, and $$q_3=5e$$?


 * a) 5.062E+01 degrees
 * b) 5.569E+01 degrees
 * c) 6.125E+01 degrees
 * d) 6.738E+01 degrees
 * e) 7.412E+01 degrees

158) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at  (x,y) =( 1.1a, 1.2a) is &beta;kQ/a2, where &beta; equals


 * a) 3.47 x 10-1 unit
 * b) 4.2 x 10-1 unit
 * c) 5.09 x 10-1 unit
 * d) 6.17 x 10-1 unit
 * e) 7.47 x 10-1 unit

159) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 60&deg; to that field?
 * a) $$\tfrac 1 2$$
 * b) $$\tfrac 1 \sqrt 2$$
 * c) $$\tfrac 1 4$$
 * d) $$\tfrac \sqrt 3 2$$
 * e) $$\tfrac 3 4$$

160) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 24 turns per centimeter and the current applied to the solenoid is 595 mA, the net magnetic field is measured to be 1.46 T. What is the magnetic susceptibility for this case?


 * a) $$\chi \text{ (chi) }=$$ 6.716E+02
 * b) $$\chi \text{ (chi) }=$$ 7.387E+02
 * c) $$\chi \text{ (chi) }=$$ 8.126E+02
 * d) $$\chi \text{ (chi) }=$$ 8.939E+02
 * e) $$\chi \text{ (chi) }=$$ 9.833E+02

161) $$E(z)=\int_{0}^R f(r',z)dr'$$ is an integral that calculates the magnitude of the electric field at a distance $$z$$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk.  The disk's radius is $$R=1.4\text{ m}$$ and the surface charge density is $$\sigma=6\text{ nC/m}^3$$. Evaluate $$f(r',z)$$ at $$r'=0.56\text{ m}$$.


 * a) 2.567E+01 V/m2
 * b) 2.824E+01 V/m2
 * c) 3.106E+01 V/m2
 * d) 3.417E+01 V/m2
 * e) 3.759E+01 V/m2

162) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * a) K and K&spades;
 * b) K&spades; and K&clubs;
 * c) none of these are true
 * d) two of these are true
 * e) K and K&clubs;

163) A proton is accellerated (at rest) from a plate held at 767.8 volts to a plate at zero volts. What is the final speed?


 * a) 1.1 x 105 m/s.
 * b) 1.7 x 105 m/s.
 * c) 2.6 x 105 m/s.
 * d) 3.8 x 105 m/s.
 * e) 5.8 x 105 m/s.

164) A parallel plate capacitor with a capicatnce C=6.80E-06 F whose plates have an area A=6.60E+03 m2 and separation d=8.60E-03 m is connected via a swith to a 62 &Omega; resistor and a battery of voltage V0=36 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.60E-04?


 * a) 8.288E-02 A
 * b) 9.117E-02 A
 * c) 1.003E-01 A
 * d) 1.103E-01 A
 * e) 1.213E-01 A

165) Calculate the drift speed of electrons in a copper wire with a diameter of 2.72 mm carrying a 16.2 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.


 * a) 2.087E-04 m/s
 * b) 2.295E-04 m/s
 * c) 2.525E-04 m/s
 * d) 2.777E-04 m/s
 * e) 3.055E-04 m/s

166) Amphere's law for magnetostatic currents is that $$\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$$ equals the current enclosed by the closed loop, and $$B=\mu_0H$$ is the magnetic field. A current of 6.9A flows upward along the z axis. Noting that for this geometry, $$\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$$, calculate the line integral $$\oint d\ell$$ for a circle of radius 9.9m.


 * a) 6.22E+01 m
 * b) 6.82E+01 m
 * c) 7.48E+01 m
 * d) 8.20E+01 m
 * e) 8.99E+01 m

167) Two loops of wire carry the same current of 99 kA, and flow in the same direction. They share a common axis and orientation.  One loop has a radius of 0.798 m while the other has a radius of 1.29 m.  What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.394 m from the first (smaller) loopif the disance between the loops is 1.29 m?


 * a) 8.291E-02 T
 * b) 9.120E-02 T
 * c) 1.003E-01 T
 * d) 1.104E-01 T
 * e) 1.214E-01 T

168) When a 1.95 V battery operates a 2.8 W bulb, how many electrons pass through it each second?


 * a) 7.407E+18 electrons
 * b) 8.147E+18 electrons
 * c) 8.962E+18 electrons
 * d) 9.858E+18 electrons
 * e) 1.084E+19 electrons

169) Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.)  The charges are q1=3 &mu;C, q2=6 &mu;C, q3=7 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.116E+01 J
 * b) 3.427E+01 J
 * c) 3.770E+01 J
 * d) 4.147E+01 J
 * e) 4.562E+01 J

170) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.
 * a) true
 * b) false

171) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal B=$$
 * a) 2
 * b) &minus;3
 * c) 3
 * d) &minus;3
 * e) &minus;7

172) A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?
 * a) 2A
 * b) 3A
 * c) 1.5A
 * d) 12A

173) A given battery has a 12 V emf and an internal resistance of 0.107 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * a) 1.382E+02 W
 * b) 1.520E+02 W
 * c) 1.672E+02 W
 * d) 1.839E+02 W
 * e) 2.023E+02 W

174) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 9mW
 * b) 8mW
 * c) 4mW
 * d) 3mW
 * e) 6mW

175) A 59 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 84 kW?


 * a) 9.780E+01 km
 * b) 1.076E+02 km
 * c) 1.183E+02 km
 * d) 1.302E+02 km
 * e) 1.432E+02 km

176) An electron beam (m=9.1 x 10&minus;31kg, q=1.6 x 10&minus;19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?


 * a) 4.982E+05 m/s
 * b) 5.480E+05 m/s
 * c) 6.028E+05 m/s
 * d) 6.631E+05 m/s
 * e) 7.294E+05 m/s

177) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.7 m. The other four surfaces are rectangles in y=y0=1.9 m, y=y1=4.3 m, z=z0=1.7 m, and z=z1=5.7 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 4.1m2 ,and those in the zx plane have area 6.8m2. An electric field of magnitude 13 N/C has components in the y and z directions and is directed at 27&deg; above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 7.876E+01 N&middot;m2/C
 * b) 8.664E+01 N&middot;m2/C
 * c) 9.531E+01 N&middot;m2/C
 * d) 1.048E+02 N&middot;m2/C
 * e) 1.153E+02 N&middot;m2/C

178) A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?


 * a) 4.788E+09 N/C2
 * b) 5.267E+09 N/C2
 * c) 5.793E+09 N/C2
 * d) 6.373E+09 N/C2
 * e) 7.010E+09 N/C2

179) An alpha-particle (q=3.2x10&minus;19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.55 T. What is the  x-component of the force on the alpha-particle if it is moving with a velocity (1.96 i + 1.68 j  + 6.92 k) x 104 m/s?


 * a) 4.179E-14 N
 * b) 4.596E-14 N
 * c) 5.056E-14 N
 * d) 5.562E-14 N
 * e) 6.118E-14 N

180) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
 * a) 1/4
 * b) 3/4
 * c) 5/4
 * d) 1
 * e) 1/2
 * f) 0

181) A battery with a terminal voltage of 13.2 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.3 &Omega; resistor. What is the voltage drop across the 10.3 &Omega; resistor?


 * a) 1.958E+00 V
 * b) 2.153E+00 V
 * c) 2.369E+00 V
 * d) 2.606E+00 V
 * e) 2.866E+00 V

182) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * a) becomes twice as big
 * b) is reduced by a factor of 4
 * c) stays the same
 * d) becomes 4 times as big
 * e) is cut in half

183) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) s&minus;4
 * b) 1&minus;s
 * c) 5&minus;s
 * d) 5
 * e) s&minus;1

184) Three 1 ohm resistors are connected in parallel. What is the total resistance?
 * a) $$ 3\Omega$$.
 * b) $$\frac{2}{3}\Omega$$.
 * c) $$\frac{3}{2}\Omega$$.
 * d) $$\frac{1}{3}\Omega$$.

185) An induced emf of 4.7V is measured across a coil of 52 closely wound turns while the current throuth it increases uniformly from 0.0 to 3.08A in 0.961s. What is the self-inductance of the coil?


 * a) 1.102E+00 H
 * b) 1.212E+00 H
 * c) 1.333E+00 H
 * d) 1.466E+00 H
 * e) 1.613E+00 H

186) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * a) 72 + (3&minus;s)2
 * b) 72 + (8&minus;s)2
 * c) 72 + 82
 * d) (7-s)2 + 82
 * e) 32 + 82

187) A photon is polarized at 5&deg; when it encounters a filter oriented at 35&deg;. What is the probability that it passes?
 * a) 1/2
 * b) 1/4
 * c) 0
 * d) 3/4
 * e) 1

188) An empty parallel-plate capacitor with metal plates has an area of 2.59 m2, separated by 1.23 mm. How much charge does it store if the voltage is 2.200E+03 V?


 * a) 3.082E+01 &mu;C
 * b) 3.390E+01 &mu;C
 * c) 3.729E+01 &mu;C
 * d) 4.102E+01 &mu;C
 * e) 4.512E+01 &mu;C

189) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=6.85 V are oriented as shownin the circuit. The resistances are R1=4.43 k&Omega; and  R2=1.24 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.68 mA and I4=0.758 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 3.890E+00 V
 * b) 4.279E+00 V
 * c) 4.707E+00 V
 * d) 5.178E+00 V
 * e) 5.695E+00 V

190) A parallel plate capacitor with a capicatnce C=1.40E-06 F whose plates have an area A=980.0 m2 and separation d=6.20E-03 m is connected via a swith to a 8 &Omega; resistor and a battery of voltage V0=53 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=2.40E-05?


 * a) 5.154E+03 V/m
 * b) 5.669E+03 V/m
 * c) 6.236E+03 V/m
 * d) 6.860E+03 V/m
 * e) 7.545E+03 V/m

191) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?


 * a) 3.500E+01 N/C
 * b) 3.850E+01 N/C
 * c) 4.235E+01 N/C
 * d) 4.659E+01 N/C
 * e) 5.125E+01 N/C

192) This figure is associated with
 * a) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * c) Evidence presented in 1800 that light is a wave.
 * d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf

193) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{10}{7}\Omega$$.
 * b) $$\frac{10}{6}\Omega$$.
 * c) $$\frac{7}{10}\Omega$$.
 * d) $$\frac{6}{10}\Omega$$.

194) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?


 * a) 2.36 x 10-3 newtons
 * b) 7.47 x 10-3 newtons
 * c) 2.36 x 10-2 newtons
 * d) 7.47 x 10-2 newtons
 * e) 2.36 x 10-1 newtons

195) What is the current through R1 and R2 in the figure shown?
 * a) $$I_1 = 10A$$ and $$I_2 = 16.67A$$.
 * b) $$I_1 = 0.1A$$ and $$I_2 = 0.1667A$$.
 * c) $$I_1 = 1A$$ and $$I_2 = 1.667A$$.
 * d) $$I_1 = 1A$$ and $$I_2 = 25A$$.

196) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.84 kA, I2=2.02 kA, and I3=4.24 kA, take the $$\omega$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * a) 5.255E-03 T-m
 * b) 5.781E-03 T-m
 * c) 6.359E-03 T-m
 * d) 6.994E-03 T-m
 * e) 7.694E-03 T-m

197) A cyclotron used to accelerate alpha particlesm=6.64 x 10&minus;27kg, q=3.2 x 10&minus;19C) has a radius of 0.448 m and a magneticfield of 0.812 T. What is their maximum kinetic energy?


 * a) 5.798E+00 MeV
 * b) 6.377E+00 MeV
 * c) 7.015E+00 MeV
 * d) 7.717E+00 MeV
 * e) 8.488E+00 MeV

198) This figure is associated with
 * a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * c) Evidence presented in 1800 that light is a wave.
 * d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

199) A parallel plate capacitor with a capicatnce C=7.40E-06 F whose plates have an area A=5.30E+03 m2 and separation d=6.30E-03 m is connected via a swith to a 5 &Omega; resistor and a battery of voltage V0=58 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.10E-04?


 * a) 4.548E+01 V
 * b) 5.003E+01 V
 * c) 5.503E+01 V
 * d) 6.054E+01 V
 * e) 6.659E+01 V

200) An object of height 0.67 cm is placed 106 cm behind a diverging lens with a focal length of 61 cm. What is the height of the image?


 * a) 1.18 x 10-1 cm
 * b) 1.42 x 10-1 cm
 * c) 1.7 x 10-1 cm
 * d) 2.04 x 10-1 cm
 * e) 2.45 x 10-1 cm

201) A cylinder of height 2.91 cm and radius 8.33 cm is cut into a wedge as shown. Now imagine that the volume grows as &theta; increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 3.7 cm from point O and moves at a speed of 9.14 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.) --(Answer & Why this question is different.)


 * a) 2.061E+02 cm3/s
 * b) 2.267E+02 cm3/s
 * c) 2.494E+02 cm3/s
 * d) 2.743E+02 cm3/s
 * e) 3.018E+02 cm3/s

202) A spatially uniform magnetic points in the z-direction and oscilates with time as $$\vec B(t) = B_0\sin\omega t $$ where $$B_0=$$3.29 T and $$\omega=$$4.720E+03 s&minus;1. Suppose the electric field is always zero at point $$\mathcal O$$, and consider a circle of radius 0.658 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral $$\oint \vec B\cdot d\vec s$$ around the circle.


 * a) 6.420E+04 V
 * b) 7.062E+04 V
 * c) 7.768E+04 V
 * d) 8.545E+04 V
 * e) 9.400E+04 V

203) An object is placed 4.65 cm to the left of a converging lens with a focal length of 6.2 cm. How far is the image from the lens?


 * a) 1.86 x 100 cm
 * b) 3.31 x 100 cm
 * c) 5.88 x 100 cm
 * d) 1.05 x 101 cm
 * e) 1.86 x 101 cm

204) In the figure shown C1=20.7 &mu;F, C2=2.79 &mu;F, and C3=5.18 &mu;F. The voltage source provides &epsilon;=15.0 V. What is the energy stored in C2?


 * a) 2.064E+01 &mu;J
 * b) 2.270E+01 &mu;J
 * c) 2.497E+01 &mu;J
 * d) 2.747E+01 &mu;J
 * e) 3.022E+01 &mu;J

205) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.7 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.4 m from the center of the shells?


 * a) 1.491E+01 N/C
 * b) 1.640E+01 N/C
 * c) 1.804E+01 N/C
 * d) 1.984E+01 N/C
 * e) 2.182E+01 N/C

206) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?
 * a) 6x1018
 * b) 2x1018
 * c) 1018
 * d) 4x1018
 * e) 8x1018

207) If you play the solitaire game 6 times, you will on average lose ___ times.
 * a) 2
 * b) 5
 * c) 3
 * d) 4
 * e) 6

208) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * a) 72 + (2-s)2
 * b) 92 + (2-s)2
 * c) 22 + (9-s)2
 * d) 22 + (7-s)2
 * e) 92 + (7-s)2

209) H is defined by, B=&mu;0H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from  ( -&infin; ,9) to (+ &infin; ,9).


 * a) 3.08E+01 amps
 * b) 3.37E+01 amps
 * c) 3.70E+01 amps
 * d) 4.06E+01 amps
 * e) 4.45E+01 amps

210) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?
 * a) $$R_{Total} = 3\Omega$$.
 * b) None of these are true.
 * c) $$R_{Total} = 0.5454\Omega$$.
 * d) $$R_{Total} = 6\Omega$$.

211) An RLC series combination is driven with an applied voltage of of V=V0sin(&omega;t), where V0=0.44 V. The resistance, inductance, and capacitance are R =7 &Omega;, L= 5.40E-03H, and C=5.70E-04 F, respectively. What is the amplitude of the current?


 * a) 4.723E-02 A
 * b) 5.195E-02 A
 * c) 5.714E-02 A
 * d) 6.286E-02 A
 * e) 6.914E-02 A

212) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
 * a) 0
 * b) 5/4
 * c) 1/2
 * d) 1/4
 * e) 1
 * f) 3/4

213) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) none of these are correct
 * b) $$\varepsilon_0 E=  H\rho $$
 * c) $$\varepsilon_0 E=   \rho z $$
 * d) $$\varepsilon_0 E=  H\rho z$$
 * e) $$\varepsilon_0 E = H\rho /2$$

214) A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.16 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.16 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.


 * a) 3.070E+02 V
 * b) 3.377E+02 V
 * c) 3.715E+02 V
 * d) 4.086E+02 V
 * e) 4.495E+02 V

215) If you put an infinite number of resistors in parallel, what would the total resistance be?
 * a) $$R_{total}$$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.
 * b) It is not possible to connect that Number of Resistors in parallel.
 * c) None of these are true.
 * d) $$R_{total}$$ would approach 1 as The No. of Resistors In parallel Approaches Infinity

216) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * a) 1/4
 * b) 3/4
 * c) 0
 * d) 1
 * e) 1/2

217) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC and only twoimpedances are involved,  Q=&equiv;&omega;0L/R is definedso that Q is large if the resistance is low.  Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V0sin(&omega;t), where V0=5 V. The resistance, inductance, and capacitance are R =0.13 &Omega;, L= 5.30E-03H, and C=2.60E-06 F, respectively.


 * a) Q = 1.986E+02
 * b) Q = 2.284E+02
 * c) Q = 2.626E+02
 * d) Q = 3.020E+02
 * e) Q = 3.473E+02

218) A circlular capactitor of radius 4.6 m has a gap of 12 mm, and a charge of 52 &mu;C.  The capacitor is discharged through a  7 k&Omega; resistor.  What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)


 * a) 3.30E-09 Tesla
 * b) 4.15E-09 Tesla
 * c) 5.23E-09 Tesla
 * d) 6.58E-09 Tesla
 * e) 8.29E-09 Tesla

219) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.8 m, y=y1=4.2 m, z=z0=1.3 m, and z=z1=5.8 m. The surfaces in the yz plane each have area 11.0m2. Those in the xy plane have area 4.8m2 ,and those in the zx plane have area 9.0m2. An electric field has the xyz components (0, 6.1, 5.6) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 4.125E+01 N&middot;m2/C
 * b) 4.537E+01 N&middot;m2/C
 * c) 4.991E+01 N&middot;m2/C
 * d) 5.490E+01 N&middot;m2/C
 * e) 6.039E+01 N&middot;m2/C

220) An electron gun has parallel plates separated by 5.31 cm and gives electrons 41 keV of energy. What force would the field between the plates exert on a 0.368 &mu;C charge that gets between the plates?


 * a) 2.348E-01 N
 * b) 2.583E-01 N
 * c) 2.841E-01 N
 * d) 3.126E-01 N
 * e) 3.438E-01 N

221) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.24+1.11z)\rho^3\hat\rho +8.16z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\oint\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the entire surface of the cylinder.


 * a) 4.69E+03
 * b) 5.69E+03
 * c) 6.89E+03
 * d) 8.35E+03
 * e) 1.01E+04

222) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) be disqualified for cheating
 * b) win 3 points
 * c) lose 1 point
 * d) lose 3 points
 * e) win 1 point

223) If a 26 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=21 V is x2 + y2 + z2 = R2, where R=


 * a) 8.360E+00 m
 * b) 9.196E+00 m
 * c) 1.012E+01 m
 * d) 1.113E+01 m
 * e) 1.224E+01 m

224) A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?


 * a) 3.2 kV/m.
 * b) 3.68 kV/m.
 * c) 4.24 kV/m.
 * d) 4.87 kV/m.
 * e) 5.6 kV/m.

225) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.655 m. The magnetic field is spatially uniform but decays in time according to $$(5.62)e^{-\alpha t}$$, where $$\alpha=$$9.62 s. What is the current in the coil if the impedance of the coil is 48.9 &Omega;?


 * a) 7.890E-01 A
 * b) 8.679E-01 A
 * c) 9.547E-01 A
 * d) 1.050E+00 A
 * e) 1.155E+00 A

226) A long solenoid has a radius of 0.861 m and 28 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$1 A and $$\alpha=$$20 s&minus;1.What is the induced electric fied at a distance 0.106 m from the axis at time t=0.055 s ?


 * a) 1.026E-05 V/m
 * b) 1.129E-05 V/m
 * c) 1.242E-05 V/m
 * d) 1.366E-05 V/m
 * e) 1.502E-05 V/m

227) What is consumer cost to operate one 87&minus;W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.117 per kilowatt-hour?


 * a) $2.791E+01
 * b) $3.071E+01
 * c) $3.378E+01
 * d) $3.715E+01
 * e) $4.087E+01

228) Imagine a substance could be made into a very hot filament. Suppose the resitance is 2.61 &Omega; at a temperature of 92&deg;C and that the temperature coefficient of expansion is 4.260E-03 (&deg;C)&minus;1). What is the resistance at a temperature of 422 &deg;C?


 * a) 6.279E+00 &Omega;
 * b) 6.593E+00 &Omega;
 * c) 6.923E+00 &Omega;
 * d) 7.269E+00 &Omega;
 * e) 7.632E+00 &Omega;

229) Which lens has the shorter focal length?
 * a) They have the same focal lengh.
 * b) Ray drawing eye schematic01.svg
 * c) Ray_drawing_eye_schematic.svg

230) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.


 * a) 1.698E+06 m/s
 * b) 1.868E+06 m/s
 * c) 2.055E+06 m/s
 * d) 2.260E+06 m/s
 * e) 2.486E+06 m/s

231) The silver ribbon shown are a=4.72 cm, b=4.17 cm, and c= 1.53 cm. The current carries a current of 235 A and it lies in a uniform magnetic field of 1.35 T.  Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.


 * a) 1.648E-06 V
 * b) 1.813E-06 V
 * c) 1.994E-06 V
 * d) 2.194E-06 V
 * e) 2.413E-06 V

232) The resistances in the figure shown are R1= 2.41 &Omega;, R2= 1.74 &Omega;, and R2= 3.35 &Omega;. V1 and V3 are text 0.508 V and 1.36 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.595 V. What is the absolute value of the current through R1?


 * a) 1.203E-01 A
 * b) 1.324E-01 A
 * c) 1.456E-01 A
 * d) 1.602E-01 A
 * e) 1.762E-01 A

233) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?


 * a) 3.154E-05 s
 * b) 3.470E-05 s
 * c) 3.817E-05 s
 * d) 4.198E-05 s
 * e) 4.618E-05 s

234) A photon is polarized at 10&deg; when it encounters a filter oriented at 40&deg;. What is the probability that it is blocked?
 * a) 1/4
 * b) 3/4
 * c) 0
 * d) 1
 * e) 1/2

235) Calculate the motional emf induced along a 25.2 km conductor moving at an orbital speed of 7.72 km/s perpendicular to Earth's 4.900E-05 Tesla magnetic field.


 * a) 7.162E+03 V
 * b) 7.878E+03 V
 * c) 8.666E+03 V
 * d) 9.533E+03 V
 * e) 1.049E+04 V

236) The diameter of a copper wire is 3.8 mm, and it carries a current of 88 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m3 and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)


 * a) 2.7 x 10-4m/s
 * b) 3.27 x 10-4m/s
 * c) 3.96 x 10-4m/s
 * d) 4.79 x 10-4m/s
 * e) 5.81 x 10-4m/s

237) A 3.1 volt battery moves 52 Coulombs of charge in 1.7 hours. What is the power?


 * a) 1.79 x 10-2 W
 * b) 2.17 x 10-2 W
 * c) 2.63 x 10-2 W
 * d) 3.19 x 10-2 W
 * e) 3.87 x 10-2 W

238) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 &mu;T. The kinetic energy is 437 keV.  What is the radius of particle's orbit?


 * a) 1.3 x 102 m.
 * b) 4.1 x 102 m.
 * c) 1.3 x 103 m.
 * d) 4.1 x 103 m.
 * e) 1.3 x 104 m.

239) Two 9.4 ohm resistors are connected in parallel.  This combination is then connected in series to a 2.4 ohm resistor.  What is the net resistance?


 * a) 5.4 ohms.
 * b) 6.2 ohms.
 * c) 7.1 ohms.
 * d) 8.2 ohms.
 * e) 9.4 ohms.

240) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * a) $$\tfrac 1 2$$
 * b) $$\tfrac 3 4$$
 * c) $$\tfrac \sqrt 3 2$$
 * d) $$ \tfrac 1 4$$
 * e) $$\tfrac 1 \sqrt 2$$

241) A solenoid has 9.560E+04 turns wound around a cylinder of diameter 1.18 cm and length 12 m. The current through the coils is 0.664 A.  Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $$\int\vec B\cdot\vec\ell$$ alongthe axis from z=&minus;4.49 cm to z=+3.61 cm


 * a) 4.895E-04 T-m
 * b) 5.384E-04 T-m
 * c) 5.923E-04 T-m
 * d) 6.515E-04 T-m
 * e) 7.167E-04 T-m

242) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?


 * a) 2319 N.
 * b) 2667 N.
 * c) 3067 N.
 * d) 3527 N.
 * e) 4056 N.

243) Three wires sit at the corners of a square of length 0.716 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.94 A, 2.04 A, 2.41 A), respectively. What is the y-component of the magnetic field at point P?


 * a) By= 6.833E-05 T
 * b) By= 7.517E-05 T
 * c) By= 8.268E-05 T
 * d) By= 9.095E-05 T
 * e) By= 1.000E-04 T

244) Three wires sit at the corners of a square of length 0.466 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.4 A, 2.42 A, 1.9 A), respectively. What is the x-component of the magnetic field at point P?


 * a) Bx= 1.335E-04 T
 * b) Bx= 1.468E-04 T
 * c) Bx= 1.615E-04 T
 * d) Bx= 1.777E-04 T
 * e) Bx= 1.954E-04 T

245) A device requires consumes 172 W of power and requires 2.21 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.


 * a) 3.157E+05 A/m2
 * b) 3.472E+05 A/m2
 * c) 3.820E+05 A/m2
 * d) 4.202E+05 A/m2
 * e) 4.622E+05 A/m2

246) What is the radiation force on an object that is 9.70E+11 m away from the sun and has cross-sectional area of 0.044 m2? The average power output of the Sun is 3.80E+26 W.


 * a) 7.088E-09 N
 * b) 7.796E-09 N
 * c) 8.576E-09 N
 * d) 9.434E-09 N
 * e) 1.038E-08 N

247) A photon is polarized at 5&deg; when it encounters a filter oriented at 65&deg;. What is the probability that it is blocked?
 * a) 3/4
 * b) 0
 * c) 1
 * d) 1/4
 * e) 1/2

248) What is the net capacitance if C1=2.96 &mu;F, C2=3.95 &mu;F, and C3=3.74 &mu;F in the configuration shown?


 * a) 4.489E+00 &mu;F
 * b) 4.938E+00 &mu;F
 * c) 5.432E+00 &mu;F
 * d) 5.975E+00 &mu;F
 * e) 6.573E+00 &mu;F

249) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for $$r<a$$ is, $$B_\theta (r)=\left( \frac{2r}{a} - \frac{r^2}{a^2}\right)B_{max}$$, where $$B_{max}$$ is the maximum magnetic field (at $$r=a$$).  If $$a=$$ 0.549 m and $$B_{max}=\,$$ 0.599 T, then how much current (in the z-direction) flows through a circle of radius $$r=$$ 0.29 m that is centered on the axis with its plane perpendicular to the axis?


 * a) 5.581E+05 A
 * b) 6.139E+05 A
 * c) 6.752E+05 A
 * d) 7.428E+05 A
 * e) 8.170E+05 A

250) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * a) stays the same
 * b) is cut in half
 * c) becomes 4 times as big
 * d) is reduced by a factor of 4
 * e) becomes twice as big

251) When light passes from air to glass
 * a) it does not bend
 * b) the frequency decreases
 * c) the frequency increases
 * d) it bends towards the normal
 * e) it bends away from the normal

252) A non-conducting sphere of radius R=3.5 m has a non-uniform charge density that varies with the distnce from its center as given by &rho;(r)=ar1.5 (r&le;R) where a=2 nC&middot;m-1.5. What is the magnitude of the electric field at a distance of 2.2 m from the center?


 * a) 3.604E+02 N/C
 * b) 3.964E+02 N/C
 * c) 4.360E+02 N/C
 * d) 4.796E+02 N/C
 * e) 5.276E+02 N/C

253) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * a) 1/4
 * b) 3/4
 * c) 1
 * d) 5/4
 * e) 1/2
 * f) 0

254) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.893 T magnetic field is directed 66&deg; away from the wire?


 * a) 2.697E+00 N/m
 * b) 2.967E+00 N/m
 * c) 3.263E+00 N/m
 * d) 3.590E+00 N/m
 * e) 3.948E+00 N/m

255) If you play the solitaire game 3 times, you will on average win ___ times.
 * a) 4
 * b) 2
 * c) 1
 * d) 3
 * e) 5

256) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it passes?
 * a) 1/4
 * b) 1
 * c) 3/4
 * d) 0
 * e) 1/2

257) 3 amps flow through a 1 Ohm resistor. What is the voltage?
 * a) $$1V$$
 * b) $$\frac{1}{3}V$$
 * c) None these are correct.
 * d) $$3V$$

258) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * a) $$2r\varepsilon_0 E = R^2\rho $$
 * b) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * c) $$2R\varepsilon_0 E=  r^2\rho $$
 * d) none of these are correct
 * e) $$2\varepsilon_0 E = r\rho $$

259) The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one?
 * a) $$V_{Big-Resistor} = 6.67V$$ and $$V_{small-Resistor} = 3.33V$$.
 * b) None of these are true.
 * c) $$V_{Big-Resistor} = 3.33V$$ and$$V_{small-Resistor} = 6.67V$$.
 * d) $$V_{small-Resistor} = 5V$$ and $$V_{Big-Resistor} = 5V$$.

260) A 727 mF capacitor is connected in series to a 860 M&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)


 * a) 1.88 x 109 s.
 * b) 5.93 x 109 s.
 * c) 1.88 x 1010 s.
 * d) 5.93 x 1010 s.
 * e) 1.88 x 1011 s.

261) A Van de Graff generator has a 114 cm diameter metal sphere that produces 289 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.833E+01 &mu;C
 * b) 2.016E+01 &mu;C
 * c) 2.218E+01 &mu;C
 * d) 2.440E+01 &mu;C
 * e) 2.684E+01 &mu;C

ALL B2
1) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?
 * a) $$R_{Total} = 0.5454\Omega$$.
 * b) None of these are true.
 * c) $$R_{Total} = 3\Omega$$.
 * d) $$R_{Total} = 6\Omega$$.

2) Mr. Smith is gazing at something as shown in the figure to the left.  Suppose he does not refocus, but attempts to stare at the star shown in the figures below.  Which diagram depicts how the rays from the star would travel if he does not refocus?
 * a) Ray_drawing_eye_schematic_alternate.svg
 * b) Ray drawing eye Wrong Answer.svg
 * c) Ray drawing eye schematic02.svg

3) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) circular or linear
 * b) circular or elliptical
 * c) linearly
 * d) linear or elliptical
 * e) circular

4) What is the sum of 0.2 apples plus 57 apples?


 * a) 5.72E+01 apples
 * b) 6.27E+01 apples
 * c) 6.88E+01 apples
 * d) 7.54E+01 apples
 * e) 8.27E+01 apples

5) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * a) greater than 3 eV
 * b) equal to 3 eV
 * c) equal to 6 eV
 * d) zero
 * e) less than 3 eV

6) A long solenoid has a length 0.822 meters, radius 4.37 cm, and 515 turns. It surrounds  coil of radius 6.12 meters and 14turns.  If the current in the solenoid is changing at a rate of 118 A/s, what is the emf induced in the surounding coil?


 * a) 2.229E-02 V
 * b) 2.451E-02 V
 * c) 2.697E-02 V
 * d) 2.966E-02 V
 * e) 3.263E-02 V

7) A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?


 * a) 3.339E+09 N/C2
 * b) 3.673E+09 N/C2
 * c) 4.041E+09 N/C2
 * d) 4.445E+09 N/C2
 * e) 4.889E+09 N/C2

8) The same parallel plate capacitor, with area 0.75 m2, plate separation  0.53mm, and an applied voltage of 3.55 kV.  How much charge is stored?


 * a) 29.25 &mu;C.
 * b) 33.63 &mu;C.
 * c) 38.68 &mu;C.
 * d) 44.48 &mu;C.
 * e) 51.15 &mu;C.

9) A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?
 * a) 2V.
 * b) 15V.
 * c) 10V.
 * d) 0.5V.

10) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=4), and (x=7, y=4), where x and y are measured in meters. The electric field is, $$\vec E=2y^{2.2}\hat i +3x^{2.1}\hat j +5y^{3.3}\hat k$$


 * a) 2.610E+03 V&middot;m
 * b) 2.871E+03 V&middot;m
 * c) 3.158E+03 V&middot;m
 * d) 3.474E+03 V&middot;m
 * e) 3.822E+03 V&middot;m

11) What is the average current involved when a truck battery sets in motion 779 C of charge in 3.96 s while starting an engine?


 * a) 1.626E+02 A
 * b) 1.788E+02 A
 * c) 1.967E+02 A
 * d) 2.164E+02 A
 * e) 2.380E+02 A

12) The diameter of a copper wire is 8.7 mm, and it carries a current of 22 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m3 and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)


 * a) 2.77 x 10-5m/s
 * b) 3.36 x 10-5m/s
 * c) 4.06 x 10-5m/s
 * d) 4.92 x 10-5m/s
 * e) 5.97 x 10-5m/s

13) In an LC circuit, the self-inductance is 0.0116 H and the capacitance is 7.040E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.140E-05 C. How long does it take for the capacitor to become completely discharged?


 * a) 4.489E-04 s
 * b) 4.938E-04 s
 * c) 5.432E-04 s
 * d) 5.975E-04 s
 * e) 6.572E-04 s

14) H is defined by, B=&mu;0H, where B is magnetic field. A current of 47A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,9) to the point (9,0).


 * a) 8.91E+00 amps
 * b) 9.77E+00 amps
 * c) 1.07E+01 amps
 * d) 1.18E+01 amps
 * e) 1.29E+01 amps

15) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * a) electromagnetic
 * b) both can be created
 * c) pendulum
 * d) electromagnetic or pendulum

16) Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.)  The charges are q1=3 &mu;C, q2=6 &mu;C, q3=9 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 5.178E+01 J
 * b) 5.696E+01 J
 * c) 6.266E+01 J
 * d) 6.892E+01 J
 * e) 7.582E+01 J

17) A Van de Graff generator has a 140 cm diameter metal sphere that produces 244 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.900E+01 &mu;C
 * b) 2.090E+01 &mu;C
 * c) 2.299E+01 &mu;C
 * d) 2.529E+01 &mu;C
 * e) 2.782E+01 &mu;C

18) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.8 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.9 m, z=z0=1.3 m, and z=z1=5.2 m. The surfaces in the yz plane each have area 18.0m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 7.0m2. An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 49&deg; from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 4.777E+01 N&middot;m2/C
 * b) 5.254E+01 N&middot;m2/C
 * c) 5.780E+01 N&middot;m2/C
 * d) 6.358E+01 N&middot;m2/C
 * e) 6.993E+01 N&middot;m2/C

19) If the wavelength &lambda; associated with a photon doubles, the photon's frequency f
 * a) is reduced by a factor of 4
 * b) stays the same
 * c) becomes twice as big
 * d) is cut in half
 * e) becomes 4 times as big

20) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?
 * a) 2.2W
 * b) 24W
 * c) 8W
 * d) 3W

21) A washer has an inner diameter of 2.74 cm and an outer diamter of 4.71 cm. The thickness is $$h=Cr^{-n}$$ where $$r$$ is measured in cm, $$C=3.9mm$$, and $$n=2.85$$. What is the volume of the washer?


 * a) 8.141E-01 cm3
 * b) 8.955E-01 cm3
 * c) 9.850E-01 cm3
 * d) 1.084E+00 cm3
 * e) 1.192E+00 cm3

22) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 9mW
 * b) 3mW
 * c) 6mW
 * d) 4mW
 * e) 8mW

23) A power supply delivers 145 watts of power to a 244 ohm resistor.  What was the applied voltage?


 * a) 1.88 x 102 volts
 * b) 2.28 x 102 volts
 * c) 2.76 x 102 volts
 * d) 3.34 x 102 volts
 * e) 4.05 x 102 volts

24) If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope?
 * a) None of these are true.
 * b) Power.
 * c) Discriminant.
 * d) Resistance.

25) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
 * a) 3/4
 * b) 0
 * c) 5/4
 * d) 1/4
 * e) 1/2
 * f) 1

26) A parallel plate capacitor has both plates with an area of 0.55 m2. The separation between the plates is  0.53mm.  Applied to the plates is a potential difference of 4.25 kV.  What is the capacitance?


 * a) 6.95 nF.
 * b) 7.99 nF.
 * c) 9.19 nF.
 * d) 10.57 nF.
 * e) 12.15 nF.

27) A device requires consumes 88 W of power and requires 11.3 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.


 * a) 1.467E+06 A/m2
 * b) 1.614E+06 A/m2
 * c) 1.775E+06 A/m2
 * d) 1.953E+06 A/m2
 * e) 2.148E+06 A/m2

28) The charge passing a plane intersecting a wire is $$Q_M=\left(1-e^{t/\tau}\right)$$, where $$Q_M$$=18 C  and $$\tau=$$0.0169 s. What is the current at $$t=$$0.0137 s?


 * a) 3.913E+02 A
 * b) 4.305E+02 A
 * c) 4.735E+02 A
 * d) 5.209E+02 A
 * e) 5.729E+02 A

29) What is the magnitude of the electric field at the origin if a 1.8 nC charge is placed at x = 9.6 m, and a 2 nC charge is placed at y = 8.7 m?


 * a) 2.95 x 10-1N/C
 * b) 3.41 x 10-1N/C
 * c) 3.94 x 10-1N/C
 * d) 4.55 x 10-1N/C
 * e) 5.25 x 10-1N/C

30) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.


 * a) 1.544E+06 m/s
 * b) 1.698E+06 m/s
 * c) 1.868E+06 m/s
 * d) 2.055E+06 m/s
 * e) 2.260E+06 m/s

31) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it passes?
 * a) 0
 * b) 1
 * c) 1/4
 * d) 1/2
 * e) 3/4

32) An object is placed 8.6 cm to the left of a diverging lens with a focal length of 6.3 cm. How far is the image from the lens?


 * a) 3.64 x 10-1 cm
 * b) 6.47 x 10-1 cm
 * c) 1.15 x 100 cm
 * d) 2.04 x 100 cm
 * e) 3.64 x 100 cm

33) A photon is polarized at 10&deg; when it encounters a filter oriented at 40&deg;. What is the probability that it is blocked?
 * a) 0
 * b) 1
 * c) 1/2
 * d) 1/4
 * e) 3/4

34) A DC winch moter draws 24 amps at 159 volts as it lifts a 4.120E+03 N weight at a constant speed of 0.657 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.


 * a) 1.447E+00 &Omega;
 * b) 1.591E+00 &Omega;
 * c) 1.751E+00 &Omega;
 * d) 1.926E+00 &Omega;
 * e) 2.118E+00 &Omega;

35) This figure is associated with
 * a) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * e) Evidence presented in 1800 that light is a wave.

36) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{10}{7}\Omega$$.
 * b) $$\frac{6}{10}\Omega$$.
 * c) $$\frac{10}{6}\Omega$$.
 * d) $$\frac{7}{10}\Omega$$.

37) A square coil has sides that are L= 0.861 m long and is tightly wound with N=538 turns of wire. The resistance of the coil is R=9.04 &Omega;. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0433 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?


 * a) 1.737E+00 A
 * b) 1.910E+00 A
 * c) 2.101E+00 A
 * d) 2.311E+00 A
 * e) 2.543E+00 A

38) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?
 * a) 1018
 * b) 8x1018
 * c) 2x1018
 * d) 4x1018
 * e) 6x1018

39) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * a) decreases by 4 eV
 * b) stays the same
 * c) decreases by 2 eV
 * d) increases by 2 eV
 * e) increases by 4 eV

40) An RLC series combination is driven with an applied voltage of of V=V0sin(&omega;t), where V0=0.3 V. The resistance, inductance, and capacitance are R =2 &Omega;, L= 8.10E-03H, and C=9.40E-04 F, respectively. What is the amplitude of the current?


 * a) 1.364E-01 A
 * b) 1.500E-01 A
 * c) 1.650E-01 A
 * d) 1.815E-01 A
 * e) 1.997E-01 A

41) A 57 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.447 T. What current is required to maintain this balance?


 * a) 2.225E-01 A
 * b) 2.448E-01 A
 * c) 2.692E-01 A
 * d) 2.962E-01 A
 * e) 3.258E-01 A

42) In the circuit shown V=19.6 V, R1=1.45 &Omega;, R2=7.85 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * a) 2.730E+01 W
 * b) 3.003E+01 W
 * c) 3.304E+01 W
 * d) 3.634E+01 W
 * e) 3.998E+01 W

43) To create an unpolarized pendulum oscillation
 * a) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
 * b) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * c) create an elliptically polarized wave with an &epsilon;>0.2
 * d) create an elliptically polarized wave with an &epsilon;<0.8

44) A step-down transformer steps 6 kV down to 190 V. The high-voltage input is provided by a 130 &Omega; power line that carries 6 A of currentWhat is the output current (at the 190 V side ?)


 * a) 1.424E+02 A
 * b) 1.566E+02 A
 * c) 1.722E+02 A
 * d) 1.895E+02 A
 * e) 2.084E+02 A

45) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 8&minus;s
 * b) 4
 * c) s&minus;4
 * d) 4&minus;s
 * e) s&minus;8

46) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal.  To counter the magnetic force, a voltage is applied between two large parallel plates that are 59  mm apart.  What must be the applied voltage if the magnetic field is 45&mu;T?


 * a) 1.1 x 100 volts
 * b) 3.6 x 100 volts
 * c) 1.1 x 101 volts
 * d) 3.6 x 101 volts
 * e) 1.1 x 102 volts

47) What is the current through R1 and R2 in the figure shown?
 * a) $$I_1 = 1A$$ and $$I_2 = 25A$$.
 * b) $$I_1 = 10A$$ and $$I_2 = 16.67A$$.
 * c) $$I_1 = 1A$$ and $$I_2 = 1.667A$$.
 * d) $$I_1 = 0.1A$$ and $$I_2 = 0.1667A$$.

48) An ideal 5.7 volt battery is connected to a 0.054 ohm resistor.  To measure the current an ammeter with a resistance of 13$$m\Omega$$ is used.  What current does the ammeter actually read?


 * a) 64.3 A.
 * b) 74 A.
 * c) 85.1 A.
 * d) 97.8 A.
 * e) 112.5 A.

49) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * a) 1/2
 * b) 1/4
 * c) 1
 * d) 0
 * e) 3/4

50) An electron gun has parallel plates separated by 2.85 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.302 &mu;C charge that gets between the plates?


 * a) 2.505E-01 N
 * b) 2.755E-01 N
 * c) 3.031E-01 N
 * d) 3.334E-01 N
 * e) 3.667E-01 N

51) $$E_z(x=0,z)=\int_{-a}^b f(x,z)dx$$ is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m.  Evaluate $$f(x,y)$$ at x=0.65 m if a=0.85 m, b=1.8 m.  The total charge on the rod is 5 nC.


 * a) 3.959E+00 V/m2
 * b) 4.355E+00 V/m2
 * c) 4.790E+00 V/m2
 * d) 5.269E+00 V/m2
 * e) 5.796E+00 V/m2

52) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * a) none of these are true
 * b) K and K&clubs;
 * c) K and K&spades;
 * d) two of these are true
 * e) K&spades; and K&clubs;

53) If a 21 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=94 V is x2 + y2 + z2 = R2, where R=


 * a) 1.371E+00 m
 * b) 1.509E+00 m
 * c) 1.659E+00 m
 * d) 1.825E+00 m
 * e) 2.008E+00 m

54) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * a) 72 + (8&minus;s)2
 * b) 72 + 82
 * c) (7-s)2 + 82
 * d) 32 + 82
 * e) 72 + (3&minus;s)2

55) An alpha-particle (m=6.64x10&minus;27kg, q=3.2x10&minus;19C) briefly enters a uniform magnetic field of magnitude 0.0887 T . It emerges after being deflected by 69&deg; from its original direction. How much time did it spend in that magnetic field?


 * a) 2.561E-07 s
 * b) 2.817E-07 s
 * c) 3.099E-07 s
 * d) 3.409E-07 s
 * e) 3.750E-07 s

56) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 4.7 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.2 m from the center of the shells?


 * a) 9.592E+00 N/C
 * b) 1.055E+01 N/C
 * c) 1.161E+01 N/C
 * d) 1.277E+01 N/C
 * e) 1.404E+01 N/C

57) A recangular coil with an area of 0.587 m2 and 13 turns is placed in a uniform magnetic field of 1.62 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 3.800E+03 s&minus;1.  What is the magnitude (absolute value) of the induced emf at t = 93 s?


 * a) 2.512E+04 V
 * b) 2.763E+04 V
 * c) 3.039E+04 V
 * d) 3.343E+04 V
 * e) 3.677E+04 V

58) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 8mW
 * b) 4mW
 * c) 3mW
 * d) 9mW
 * e) 6mW

59) Calculate the drift speed of electrons in a copper wire with a diameter of 5.46 mm carrying a 5.05 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.


 * a) 1.614E-05 m/s
 * b) 1.776E-05 m/s
 * c) 1.953E-05 m/s
 * d) 2.149E-05 m/s
 * e) 2.363E-05 m/s

60) An empty parallel-plate capacitor with metal plates has an area of 2.16 m2, separated by 1.12 mm. How much charge does it store if the voltage is 1.530E+03 V?


 * a) 2.375E+01 &mu;C
 * b) 2.613E+01 &mu;C
 * c) 2.874E+01 &mu;C
 * d) 3.161E+01 &mu;C
 * e) 3.477E+01 &mu;C

61) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) &minus;1/5
 * b) +2/5
 * c) 0
 * d) &minus;2/5
 * e) +1
 * f) +1/5

62) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H$$ at a distance of 9.8m from a wire carrying a current of 9.6A?


 * a) 1.30E-01 A/m
 * b) 1.42E-01 A/m
 * c) 1.56E-01 A/m
 * d) 1.71E-01 A/m
 * e) 1.87E-01 A/m

63) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * a) $$\tfrac 1 2$$
 * b) $$\tfrac 3 4$$
 * c) $$ \tfrac 1 4$$
 * d) $$\tfrac 1 \sqrt 2$$
 * e) $$\tfrac \sqrt 3 2$$

64) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal A=$$:
 * a) 8
 * b) 4
 * c) 1/2
 * d) 2

65) The output of an ac generator connected to an RLC series combination has a frequency of 810 Hz and an amplitude of 0.64 V;. If R =6 &Omega;, L= 8.70E-03H, and C=8.20E-04 F, what is the impedance?


 * a) 4.444E+01 &Omega;
 * b) 4.889E+01 &Omega;
 * c) 5.378E+01 &Omega;
 * d) 5.916E+01 &Omega;
 * e) 6.507E+01 &Omega;

66) A long solenoid has a radius of 0.624 m and 84 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$6 A and $$\alpha=$$20 s&minus;1.What is the induced electric fied at a distance 1.78 m from the axis at time t=0.0579 s ?


 * a) 3.597E-04 V/m
 * b) 3.956E-04 V/m
 * c) 4.352E-04 V/m
 * d) 4.787E-04 V/m
 * e) 5.266E-04 V/m

67) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following loses?
 * a) K and K&clubs;
 * b) K&spades; and K&clubs;
 * c) none of these are true
 * d) two of these are true
 * e) K and K&spades;

68) A parallel plate capacitor with a capicatnce C=6.80E-06 F whose plates have an area A=6.60E+03 m2 and separation d=8.60E-03 m is connected via a swith to a 62 &Omega; resistor and a battery of voltage V0=36 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.60E-04?


 * a) 8.288E-02 A
 * b) 9.117E-02 A
 * c) 1.003E-01 A
 * d) 1.103E-01 A
 * e) 1.213E-01 A

69) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) be disqualified for cheating
 * b) win 3 points
 * c) lose 1 point
 * d) lose 3 points
 * e) win 1 point

70) A non-conducting sphere of radius R=2.9 m has a non-uniform charge density that varies with the distnce from its center as given by &rho;(r)=ar1.5 (r&le;R) where a=2 nC&middot;m-1.5. What is the magnitude of the electric field at a distance of 1.5 m from the center?


 * a) 1.383E+02 N/C
 * b) 1.522E+02 N/C
 * c) 1.674E+02 N/C
 * d) 1.841E+02 N/C
 * e) 2.025E+02 N/C

71) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where$$\mathcal F=$$
 * a) 1/2
 * b) 3/2
 * c) 2
 * d) 3

72) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (1.96+2.52z)\rho^2\hat\rho +7.11z^2\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{top}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the top surface of the cylinder.


 * a) 4.522E+02
 * b) 5.478E+02
 * c) 6.637E+02
 * d) 8.041E+02
 * e) 9.742E+02

73) If you play the solitaire game 3 times, you will on average win ___ times.
 * a) 4
 * b) 1
 * c) 5
 * d) 3
 * e) 2

74) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * a) 3/4
 * b) 1/4
 * c) 1/2
 * d) 0
 * e) 1

75) Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is  opened as as S2 is closed.  How long will it take for the energy stored in the inductor to be reduced to 2.69% of its maximum value if &epsilon; = 4.79 V, R = 4.18 &Omega;, and L = 2.7 H?


 * a) -8.773E-01 s
 * b) -9.651E-01 s
 * c) -1.062E+00 s
 * d) -1.168E+00 s
 * e) -1.284E+00 s

76) An induced emf of 4.13V is measured across a coil of 70 closely wound turns while the current throuth it increases uniformly from 0.0 to 2.63A in 0.133s. What is the self-inductance of the coil?


 * a) 1.726E-01 H
 * b) 1.899E-01 H
 * c) 2.089E-01 H
 * d) 2.297E-01 H
 * e) 2.527E-01 H

77) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.5 m, z=z0=1.7 m, and z=z1=5.1 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 9.9m2 ,and those in the zx plane have area 7.8m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 58&deg; above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 1.698E+01 N&middot;m2/C
 * b) 1.868E+01 N&middot;m2/C
 * c) 2.055E+01 N&middot;m2/C
 * d) 2.260E+01 N&middot;m2/C
 * e) 2.486E+01 N&middot;m2/C

78) A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{11}{7}\Omega$$.
 * b) $$\frac{7}{11}\Omega$$.
 * c) $$\frac{10}{21}\Omega$$.
 * d) $$\frac{21}{10}\Omega$$.

79) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm.  What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?


 * a) 5.14 x 10-5 Volts
 * b) 1.62 x 10-4 Volts
 * c) 5.14 x 10-4 Volts
 * d) 1.62 x 10-3 Volts
 * e) 5.14 x 10-3 Volts

80) Three wires sit at the corners of a square of length 0.716 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.94 A, 2.04 A, 2.41 A), respectively. What is the y-component of the magnetic field at point P?


 * a) By= 6.833E-05 T
 * b) By= 7.517E-05 T
 * c) By= 8.268E-05 T
 * d) By= 9.095E-05 T
 * e) By= 1.000E-04 T

81) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * a) increases by 2 eV
 * b) decreases by 2 eV
 * c) decreases by 4 eV
 * d) increases by 4 eV
 * e) stays the same

82) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * a) 3/4
 * b) 1/4
 * c) 1
 * d) 0
 * e) 1/2

83) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC and only twoimpedances are involved,  Q=&equiv;&omega;0L/R is definedso that Q is large if the resistance is low.  Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V0sin(&omega;t), where V0=3 V. The resistance, inductance, and capacitance are R =0.29 &Omega;, L= 4.80E-03H, and C=2.60E-06 F, respectively.


 * a) Q = 1.288E+02
 * b) Q = 1.482E+02
 * c) Q = 1.704E+02
 * d) Q = 1.959E+02
 * e) Q = 2.253E+02

84) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.31 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.47 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.


 * a) 8.672E+02 V
 * b) 9.539E+02 V
 * c) 1.049E+03 V
 * d) 1.154E+03 V
 * e) 1.270E+03 V

85) A cylinder of radius, r=3, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.12+1.68z)\rho^2\hat\rho +8.83z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{side}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the curved side surface of the cylinder.


 * a) 2.158E+03
 * b) 2.614E+03
 * c) 3.167E+03
 * d) 3.837E+03
 * e) 4.649E+03

86) Two orbiting satellites are orbiting at a speed of 52 km/s perpendicular to a magnetic field of 41 &mu;T. They are connected by a cable that is 33 km long.  A voltmeter is attached between a satellite and one end of the cable.  The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit.  What is the measured voltage?


 * a) 4.79 x 104 volts.
 * b) 5.81 x 104 volts.
 * c) 7.04 x 104 volts.
 * d) 8.52 x 104 volts.
 * e) 1.03 x 105 volts.

87) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for $$r<a$$ is, $$B_\theta (r)=\left( \frac{2r}{a} - \frac{r^2}{a^2}\right)B_{max}$$, where $$B_{max}$$ is the maximum magnetic field (at $$r=a$$).  If $$a=$$ 0.52 m and $$B_{max}=\,$$ 0.657 T, then how much current (in the z-direction) flows through a circle of radius $$r=$$ 0.295 m that is centered on the axis with its plane perpendicular to the axis?


 * a) 7.876E+05 A
 * b) 8.664E+05 A
 * c) 9.530E+05 A
 * d) 1.048E+06 A
 * e) 1.153E+06 A

88) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * a) perpendicular
 * b) all of these are possible
 * c) at 45 degrees
 * d) parallel

89) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * a) 3mW
 * b) 9mW
 * c) 6mW
 * d) 8mW
 * e) 4mW

90) Two sources of emf &epsilon;1=24.9 V, and  &epsilon;2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.32 k&Omega; and  R2=2.31 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.74 mA and I4=0.444 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * a) 1.725E+00 mA
 * b) 1.898E+00 mA
 * c) 2.087E+00 mA
 * d) 2.296E+00 mA
 * e) 2.526E+00 mA

91) What is the radiation force on an object that is 3.60E+11 m away from the sun and has cross-sectional area of 0.069 m2? The average power output of the Sun is 3.80E+26 W.


 * a) 7.336E-08 N
 * b) 8.069E-08 N
 * c) 8.876E-08 N
 * d) 9.764E-08 N
 * e) 1.074E-07 N

92) What is consumer cost to operate one 73&minus;W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.113 per kilowatt-hour?


 * a) $3.312E+01
 * b) $3.643E+01
 * c) $4.007E+01
 * d) $4.408E+01
 * e) $4.849E+01

93) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?


 * a) 1.28 J.
 * b) 1.47 J.
 * c) 1.69 J.
 * d) 1.94 J.
 * e) 2.24 J.

94) In optics, normal means
 * a) to the right of the optical axis
 * b) to the left of the optical axis
 * c) perpendicular to the surface
 * d) parallel to the surface

95) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$
 * a) s&minus;7
 * b) s&minus;3
 * c) 3&minus;s
 * d) 7&minus;s
 * e) 3

96) This figure is associated with
 * a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * e) Evidence presented in 1800 that light is a wave.

97) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.222 T magnetic field is directed 23&deg; away from the wire?


 * a) 5.205E-01 N/m
 * b) 5.725E-01 N/m
 * c) 6.297E-01 N/m
 * d) 6.927E-01 N/m
 * e) 7.620E-01 N/m

98) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 3&minus;s
 * b) 8
 * c) 7&minus;s
 * d) s&minus;7
 * e) s&minus;3

99) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * a) 6mW
 * b) 8mW
 * c) 4mW
 * d) 9mW
 * e) 3mW

100) A 162 Watt DC motor draws 0.41 amps of current. What is effective resistance?


 * a) 5.42 x 102 &Omega;
 * b) 6.57 x 102 &Omega;
 * c) 7.95 x 102 &Omega;
 * d) 9.64 x 102 &Omega;
 * e) 1.17 x 103 &Omega;

101) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * a) 1
 * b) 1/4
 * c) 1/2
 * d) 3/4
 * e) 0

102) A circlular capactitor of radius 4 m has a gap of 14 mm, and a charge of 24 &mu;C.  The capacitor is discharged through a  7 k&Omega; resistor.  What is the decay time?


 * a) 1.84E-04 s
 * b) 2.23E-04 s
 * c) 2.70E-04 s
 * d) 3.27E-04 s
 * e) 3.96E-04 s

103) A 10 F capacitor is connected in series to a 10&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 4 x 100 s.
 * b) 1.26 x 101 s.
 * c) 4 x 101 s.
 * d) 1.26 x 102 s.
 * e) 4 x 102 s.

104) Imagine a substance could be made into a very hot filament. Suppose the resitance is 5.73 &Omega; at a temperature of 99&deg;C and that the temperature coefficient of expansion is 5.260E-03 (&deg;C)&minus;1). What is the resistance at a temperature of 420 &deg;C?


 * a) 1.267E+01 &Omega;
 * b) 1.331E+01 &Omega;
 * c) 1.397E+01 &Omega;
 * d) 1.467E+01 &Omega;
 * e) 1.540E+01 &Omega;

105) H is defined by, B=&mu;0H, where B is magnetic field. A current of 51A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point ( - 7, 7) to the point (7, 7).


 * a) 9.67E+00 amps
 * b) 1.06E+01 amps
 * c) 1.16E+01 amps
 * d) 1.28E+01 amps
 * e) 1.40E+01 amps

106) A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed?
 * a) 2.5 Watts
 * b) None of these are ture.
 * c) 11.67 Joules
 * d) 1.67 Watts

107) A 819 mF capacitor is connected in series to a 798 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 8.27 x 105 s.
 * b) 2.61 x 106 s.
 * c) 8.27 x 106 s.
 * d) 2.61 x 107 s.
 * e) 8.27 x 107 s.

108) What angle does the electric field at the origin make with the x-axis if a 1.4 nC charge is placed at x = -5.5 m, and a 2.8  nC charge is placed at y = -6.8 m?


 * a) 3.95 x 101degrees
 * b) 4.56 x 101degrees
 * c) 5.26 x 101degrees
 * d) 6.08 x 101degrees
 * e) 7.02 x 101degrees

109) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * a) 6/5
 * b) 5/6
 * c) 5/4
 * d) 4/5
 * e) 7/5

110) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * a) $$\tfrac 1 2$$
 * b) $$\tfrac 1 4$$
 * c) $$\tfrac 3 4$$
 * d) $$\tfrac \sqrt 3 2$$
 * e) $$\tfrac 1 \sqrt 2$$

111) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.44 kA, I2=1.1 kA, and I3=1.99 kA, take the $$\beta$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * a) 1.017E-03 T-m
 * b) 1.118E-03 T-m
 * c) 1.230E-03 T-m
 * d) 1.353E-03 T-m
 * e) 1.489E-03 T-m

112) A 65 &mu;F capacitor is connected in series to a 414 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * a) 1.08 x 101 s.
 * b) 3.4 x 101 s.
 * c) 1.08 x 102 s.
 * d) 3.4 x 102 s.
 * e) 1.08 x 103 s.

113) A cyclotron used to accelerate alpha particlesm=6.64 x 10&minus;27kg, q=3.2 x 10&minus;19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?


 * a) 7.476E+00 MeV
 * b) 8.224E+00 MeV
 * c) 9.046E+00 MeV
 * d) 9.951E+00 MeV
 * e) 1.095E+01 MeV

114) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * a) is reduced by a factor of 4
 * b) becomes 4 times as big
 * c) stays the same
 * d) becomes twice as big
 * e) is cut in half

115) A resistor has 10 volts across it and 4 amps going through it. What is its resistance?
 * a) $$4.5\Omega.$$
 * b) $$2.5\Omega.$$
 * c) $$3.5\Omega.$$
 * d) None of these are true.

116) The output of an ac generator connected to an RLC series combination has a frequency of 1.90E+04 Hz and an amplitude of 3 V. If R =8 &Omega;, L= 9.70E-03H, and C=9.70E-06 F, what is the rms power transferred to the resistor?


 * a) 7.670E-04 Watts
 * b) 8.436E-04 Watts
 * c) 9.280E-04 Watts
 * d) 1.021E-03 Watts
 * e) 1.123E-03 Watts

117) If this represents the eye looking at an object, where is this object?
 * a) very far away
 * b) One focal length in front of the eye
 * c) Two (of the other answers) are true
 * d) directly in front of the eye (almost touching)
 * e) at infinity

118) Calculate the resistance of a 12-gauge copper wire that is 81 m long and carries a current of 32 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * a) 3.737E-01 &Omega;
 * b) 4.111E-01 &Omega;
 * c) 4.522E-01 &Omega;
 * d) 4.975E-01 &Omega;
 * e) 5.472E-01 &Omega;

119) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * a) $$2\varepsilon_0 E = r\rho $$
 * b) $$2R\varepsilon_0 E=  r^2\rho $$
 * c) $$2r\varepsilon_0 E = R^2\rho $$
 * d) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * e) none of these are correct

120) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.8 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=5.0 m, z=z0=1.6 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 6.5m2 ,and those in the zx plane have area 7.7m2. An electric field has the xyz components (0, 8.0, 9.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * a) 6.192E+01 N&middot;m2/C
 * b) 6.811E+01 N&middot;m2/C
 * c) 7.492E+01 N&middot;m2/C
 * d) 8.242E+01 N&middot;m2/C
 * e) 9.066E+01 N&middot;m2/C

121) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * a) circular or linear
 * b) linearly
 * c) circular or elliptical
 * d) circular
 * e) linear or elliptical

122) Two parallel wires each carry a 1.65 mA current and are oriented in the z direction. The first wire is located in the x-y   plane at (4.59 cm, 1.81 cm), while the other is located at (5.78 cm, 4.43 cm). What is the force per unit length between the wires?


 * a) 1.422E-11 N/m
 * b) 1.564E-11 N/m
 * c) 1.720E-11 N/m
 * d) 1.892E-11 N/m
 * e) 2.081E-11 N/m

123) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 60&deg; to that field?
 * a) $$\tfrac 1 4$$
 * b) $$\tfrac 1 \sqrt 2$$
 * c) $$\tfrac 3 4$$
 * d) $$\tfrac 1 2$$
 * e) $$\tfrac \sqrt 3 2$$

124) An ac generator produces an emf of amplitude 5 V at a frequency of 52 Hz. What is the maximum amplitude of the current if the generator is connected to a  49 mF inductor?


 * a) 2.839E-01 A
 * b) 3.123E-01 A
 * c) 3.435E-01 A
 * d) 3.779E-01 A
 * e) 4.157E-01 A

125) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal F=$$:
 * a) 2/3
 * b) 3
 * c) 1/2
 * d) 3/2
 * e) 2

126) A make-believe metal has a density of 1.180E+04 kg/m3 and an atomic mass of 121.0 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.


 * a) 4.010E+28 e&minus;/m3
 * b) 4.411E+28 e&minus;/m3
 * c) 4.852E+28 e&minus;/m3
 * d) 5.337E+28 e&minus;/m3
 * e) 5.871E+28 e&minus;/m3

127) An important principle that allows fiber optics to work is
 * a) the Doppler shift
 * b) the invariance of the speed of light
 * c) partial internal absorption
 * d) total internal reflection
 * e) total external refraction

128) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * a) 3/16
 * b) 1/16
 * c) 1/8
 * d) 3/32
 * e) 1/32

129) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?
 * a) No unique answer exists because two variables are involved (temperature and volume).
 * b) They have the same energy (since the holes are identical).
 * c) The hotter object has a greater energy.
 * d) The larger object has a greater energy.

130) A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?
 * a) I = 5A &  P = 3W.
 * b) I = 5A &  P = 5W.
 * c) I = 5A &  P = 25W.
 * d) I = 5A &  P = 9W

131) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * a) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * c) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * d) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * e) none of these are correct

132) An object of height 0.68 cm is placed 140 cm behind a diverging lens with a focal length of 87 cm. What is the height of the image?


 * a) 1.26 x 10-1 cm
 * b) 1.51 x 10-1 cm
 * c) 1.81 x 10-1 cm
 * d) 2.17 x 10-1 cm
 * e) 2.61 x 10-1 cm

133) In the figure shown C1=15.0 &mu;F, C2=2.65 &mu;F, and C3=5.67 &mu;F. The voltage source provides &epsilon;=7.44 V. What is the charge on C1?


 * a) 3.982E+01 &mu;C
 * b) 4.380E+01 &mu;C
 * c) 4.818E+01 &mu;C
 * d) 5.300E+01 &mu;C
 * e) 5.829E+01 &mu;C

134) A 3.1 volt battery moves 40 Coulombs of charge in 0.9 hours. What is the power?


 * a) 2.61 x 10-2 W
 * b) 3.16 x 10-2 W
 * c) 3.83 x 10-2 W
 * d) 4.64 x 10-2 W
 * e) 5.62 x 10-2 W

135) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 569 V.  If the combined external and internal resistance is 137 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 419.0 V?


 * a) 1.043E+01 s
 * b) 1.147E+01 s
 * c) 1.262E+01 s
 * d) 1.388E+01 s
 * e) 1.527E+01 s

136) A 727 mF capacitor is connected in series to a 860 M&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)


 * a) 1.88 x 109 s.
 * b) 5.93 x 109 s.
 * c) 1.88 x 1010 s.
 * d) 5.93 x 1010 s.
 * e) 1.88 x 1011 s.

137) $$E(z)=\int_{0}^R f(r',z)dr'$$ is an integral that calculates the magnitude of the electric field at a distance $$z$$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk.  The disk's radius is $$R=1.8\text{ m}$$ and the surface charge density is $$\sigma=9\text{ nC/m}^3$$. Evaluate $$f(r',z)$$ at $$r'=0.83\text{ m}$$.


 * a) 2.898E+01 V/m2
 * b) 3.188E+01 V/m2
 * c) 3.507E+01 V/m2
 * d) 3.857E+01 V/m2
 * e) 4.243E+01 V/m2

138) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * a) $$\sqrt 2$$
 * b) $$1$$
 * c) $$\tfrac 1 \sqrt 2$$
 * d) $$\tfrac 1 2$$
 * e) $$2\sqrt 2$$

139) A very long and thin solenoid has 1292 turns and is 122 meters long. The wire carrys a current of 8.4A. If this solenoid is sufficiently thin, what is the line integral of$$\int \vec H\cdot\vec{d\ell}$$ along an on-axis path that starts 39 meters from the center and stops 75 meters from the center?


 * a) 1.63E+03 A
 * b) 1.78E+03 A
 * c) 1.96E+03 A
 * d) 2.15E+03 A
 * e) 2.35E+03 A

140) The law of reflection applies to
 * a) telescopes but not microscopes
 * b) only light in a vacuum
 * c) curved surfaces
 * d) flat surfaces
 * e) both flat and curved surfaces

141) What is the radiation pressure on an object that is 8.10E+11 m away from the sun and has cross-sectional area of 0.057 m2? The average power output of the Sun is 3.80E+26 W.


 * a) 3.075E-07 N/m2
 * b) 3.382E-07 N/m2
 * c) 3.720E-07 N/m2
 * d) 4.092E-07 N/m2
 * e) 4.502E-07 N/m2

142) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy
 * a) stays the same
 * b) increases by 2 eV
 * c) decreases by 4 eV
 * d) increases by 4 eV
 * e) decreases by 2 eV

143) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 &mu;T. The kinetic energy is 437 keV.  What is the radius of particle's orbit?


 * a) 1.3 x 102 m.
 * b) 4.1 x 102 m.
 * c) 1.3 x 103 m.
 * d) 4.1 x 103 m.
 * e) 1.3 x 104 m.

144) An electron beam (m=9.1 x 10&minus;31kg, q=1.6 x 10&minus;19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.49 mT and 5.570E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?


 * a) 9.223E+05 m/s
 * b) 1.015E+06 m/s
 * c) 1.116E+06 m/s
 * d) 1.228E+06 m/s
 * e) 1.350E+06 m/s

145) A spatially uniform magnetic points in the z-direction and oscilates with time as $$\vec B(t) = B_0\sin\omega t $$ where $$B_0=$$3.84 T and $$\omega=$$4.410E+03 s&minus;1. Suppose the electric field is always zero at point $$\mathcal O$$, and consider a circle of radius 0.379 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral $$\oint \vec B\cdot d\vec s$$ around the circle.


 * a) 3.333E+04 V
 * b) 3.666E+04 V
 * c) 4.033E+04 V
 * d) 4.436E+04 V
 * e) 4.879E+04 V

146) A charged particle in a magnetic field of 1.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.330E+05 m/s. What is the period of orbit if orbital radius is 0.893 m?


 * a) 2.189E-05 s
 * b) 2.408E-05 s
 * c) 2.649E-05 s
 * d) 2.914E-05 s
 * e) 3.205E-05 s

147) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?


 * a) 2.36 x 10-3 newtons
 * b) 7.47 x 10-3 newtons
 * c) 2.36 x 10-2 newtons
 * d) 7.47 x 10-2 newtons
 * e) 2.36 x 10-1 newtons

148) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 27 turns per centimeter and the current applied to the solenoid is 344 mA, the net magnetic field is measured to be 1.12 T. What is the magnetic susceptibility for this case?


 * a) $$\chi \text{ (chi) }=$$ 7.922E+02
 * b) $$\chi \text{ (chi) }=$$ 8.714E+02
 * c) $$\chi \text{ (chi) }=$$ 9.586E+02
 * d) $$\chi \text{ (chi) }=$$ 1.054E+03
 * e) $$\chi \text{ (chi) }=$$ 1.160E+03

149) A circlular capactitor of radius 3.3 m has a gap of 14 mm, and a charge of 11 &mu;C.  What is the electric field between the plates?


 * a) 2.04E+04 N/C (or V/m)
 * b) 2.47E+04 N/C (or V/m)
 * c) 3.00E+04 N/C (or V/m)
 * d) 3.63E+04 N/C (or V/m)
 * e) 4.40E+04 N/C (or V/m)

150) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * a) 1.380E+01 V
 * b) 1.518E+01 V
 * c) 1.670E+01 V
 * d) 1.837E+01 V
 * e) 2.020E+01 V

151) An ac generator produces an emf of amplitude 98 V at a frequency of 110 Hz. What is the maximum amplitude of the current if the generator is connected to a  2 mF capacitor?


 * a) 1.232E-01 A
 * b) 1.355E-01 A
 * c) 1.490E-01 A
 * d) 1.639E-01 A
 * e) 1.803E-01 A

152) A 12.0 V battery can move 44,000 C of charge. How many Joules does it deliver?


 * a) 4.800E+05 J
 * b) 5.280E+05 J
 * c) 5.808E+05 J
 * d) 6.389E+05 J
 * e) 7.028E+05 J

153) If you play the solitaire game 6 times, you will on average lose ___ times.
 * a) 3
 * b) 2
 * c) 4
 * d) 6
 * e) 5

154) Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =6.88 s if &epsilon; = 2.58 V, R = 5.69 &Omega;, and L = 6.94 H?


 * a) 4.518E-01 V
 * b) 5.422E-01 V
 * c) 6.506E-01 V
 * d) 7.807E-01 V
 * e) 9.369E-01 V

155) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal B=$$
 * a) 2
 * b) &minus;3
 * c) &minus;3
 * d) 3
 * e) &minus;7

156) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) s&minus;4
 * b) 5&minus;s
 * c) 5
 * d) s&minus;1
 * e) 1&minus;s

157) A solenoid has 9.160E+04 turns wound around a cylinder of diameter 1.64 cm and length 16 m. The current through the coils is 0.873 A.  Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $$\int\vec B\cdot\vec\ell$$ alongthe axis from z=&minus;1.74 cm to z=+4.75 cm


 * a) 3.369E-04 T-m
 * b) 3.706E-04 T-m
 * c) 4.076E-04 T-m
 * d) 4.484E-04 T-m
 * e) 4.932E-04 T-m

158) Calculate the motional emf induced along a 48.8 km conductor moving at an orbital speed of 7.88 km/s perpendicular to Earth's 4.660E-05 Tesla magnetic field.


 * a) 1.224E+04 V
 * b) 1.346E+04 V
 * c) 1.481E+04 V
 * d) 1.629E+04 V
 * e) 1.792E+04 V

159) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * a) The larger object has a greater energy density.
 * b) They have the same energy density (since the holes are identical).
 * c) The hotter object has a greater energy density.
 * d) No unique answer exists because two variables are involved (temperature and volume).

160) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * a) 92 + (7-s)2
 * b) 72 + (2-s)2
 * c) 22 + (9-s)2
 * d) 92 + (2-s)2
 * e) 22 + (7-s)2

161) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?


 * a) 2319 N.
 * b) 2667 N.
 * c) 3067 N.
 * d) 3527 N.
 * e) 4056 N.

162) Three wires sit at the corners of a square of length 0.785 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (2.23 A, 1.52 A, 1.86 A), respectively. What is the x-component of the magnetic field at point P?


 * a) Bx= 4.559E-05 T
 * b) Bx= 5.015E-05 T
 * c) Bx= 5.517E-05 T
 * d) Bx= 6.068E-05 T
 * e) Bx= 6.675E-05 T

163) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.
 * a) true
 * b) false

164) A 5 C charge is separated from a 12 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * a) 1.381E-06 J
 * b) 1.519E-06 J
 * c) 1.671E-06 J
 * d) 1.838E-06 J
 * e) 2.022E-06 J

165) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?
 * a) It's an Electrical Cliche.
 * b) Voltage is a measure of Electric Potential difference between two electrical points.
 * c) The other point could be Negative or positive.
 * d) None these are correct

166) A parallel plate capacitor with a capicatnce C=7.60E-06 F whose plates have an area A=2.90E+03 m2 and separation d=3.40E-03 m is connected via a swith to a 15 &Omega; resistor and a battery of voltage V0=90 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=2.20E-04?


 * a) 7.693E+01 V
 * b) 8.463E+01 V
 * c) 9.309E+01 V
 * d) 1.024E+02 V
 * e) 1.126E+02 V

167)  Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * a) how a nearsighted person might see an object that is too close for comfort
 * b) how a farsighted person might see a distant object
 * c) how a farsighted person might see an object that is too close for comfort
 * d) how a nearsighted person might see a distant object

168) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$\sqrt 2$$ what is the length of each side?
 * a) $$\tfrac 1 \sqrt 2$$
 * b) $$2\sqrt 2$$
 * c) $$1$$
 * d) $$\tfrac 1 2$$
 * e) $$\sqrt 2$$

169) This figure is associated with
 * a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * c) Evidence presented in 1800 that light is a wave.
 * d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

170) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?


 * a) 3.2 x 103 volts
 * b) 4.9 x 103 volts
 * c) 7.3 x 103 volts
 * d) 1.1 x 104 volts
 * e) 1.6 x 104 volts

171) H is defined by, B=&mu;0H, where B is magnetic field. A current of 89A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,4.8) to the point (4.8,4.8).


 * a) 9.25E+00 amps
 * b) 1.01E+01 amps
 * c) 1.11E+01 amps
 * d) 1.22E+01 amps
 * e) 1.34E+01 amps

172) A 7.5 ohm resistor is connected in series to a pair of 7 ohm resistors that are in parallel.  What is the net resistance?


 * a) 8.3 ohms.
 * b) 9.6 ohms.
 * c) 11 ohms.
 * d) 12.7 ohms.
 * e) 14.5 ohms.

173) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?
 * a) $$R_1 = 150V$$ and $$R_2 = 100V$$.
 * b) $$R_1 = 250V$$ and $$R_2 = 0V$$.
 * c) $$R_1 = 125V$$ and $$R_2 = 125V$$.
 * d) None of these are true.

174) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
 * a) 5/4
 * b) 1
 * c) 3/4
 * d) 0
 * e) 1/2
 * f) 1/4

175) How fast is a 2663 eV electron moving?


 * a) 3.1 x 107 m/s.
 * b) 4.6 x 107 m/s.
 * c) 6.9 x 107 m/s.
 * d) 1 x 108 m/s.
 * e) 1.5 x 108 m/s.

176) Three 1 ohm resistors are connected in parallel. What is the total resistance?
 * a) $$\frac{2}{3}\Omega$$.
 * b) $$ 3\Omega$$.
 * c) $$\frac{1}{3}\Omega$$.
 * d) $$\frac{3}{2}\Omega$$.

177) This figure is associated with
 * a) Evidence presented in 1800 that light is a wave.
 * b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

178) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * a) $$\tfrac 1 \sqrt 2$$
 * b) $$ \tfrac 1 4$$
 * c) $$\tfrac 1 2$$
 * d) $$\tfrac \sqrt 3 2$$
 * e) $$\tfrac 3 4$$

179) The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one?
 * a) $$V_{Big-Resistor} = 6.67V$$ and $$V_{small-Resistor} = 3.33V$$.
 * b) None of these are true.
 * c) $$V_{small-Resistor} = 5V$$ and $$V_{Big-Resistor} = 5V$$.
 * d) $$V_{Big-Resistor} = 3.33V$$ and$$V_{small-Resistor} = 6.67V$$.

180) Calculate the electric field in a 12-gauge copper wire that is 64 m long and carries a current of 76 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * a) 2.635E-04 V/m
 * b) 2.898E-04 V/m
 * c) 3.188E-04 V/m
 * d) 3.507E-04 V/m
 * e) 3.857E-04 V/m

181) An object is placed 4.65 cm to the left of a converging lens with a focal length of 6.2 cm. How far is the image from the lens?


 * a) 1.86 x 100 cm
 * b) 3.31 x 100 cm
 * c) 5.88 x 100 cm
 * d) 1.05 x 101 cm
 * e) 1.86 x 101 cm

182) The focal point is where
 * a) rays meet if they are parallel to each other
 * b) rays meet whenever they are forming an image
 * c) rays meet if they were parallel to the optical axis before striking a lens
 * d) the center of the lens
 * e) rays meet whenever they pass through a lens

183) A long solenoid has a radius of 0.851 m and 12 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$3 A and $$\alpha=$$30 s&minus;1.What is the induced electric fied at a distance 0.14 m from the axis at time t=0.0531 s ?


 * a) 1.319E-05 V/m
 * b) 1.451E-05 V/m
 * c) 1.596E-05 V/m
 * d) 1.756E-05 V/m
 * e) 1.932E-05 V/m

184) What is the net capacitance if C1=4.7 &mu;F, C2=4.82 &mu;F, and C3=3.61 &mu;F in the configuration shown?


 * a) 5.445E+00 &mu;F
 * b) 5.990E+00 &mu;F
 * c) 6.589E+00 &mu;F
 * d) 7.247E+00 &mu;F
 * e) 7.972E+00 &mu;F

185) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * a) 5/4
 * b) 1
 * c) 1/2
 * d) 3/4
 * e) 1/4
 * f) 0

186) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 1&minus;s
 * b) 5
 * c) s&minus;4
 * d) 5&minus;s
 * e) s&minus;1

187) An object is placed 12.1 cm to the left of a diverging lens with a focal length of 16.9 cm. On the side, at a distance of 6.7 cm from the diverging lens is a converging lens with focal length equal to 4 cm.  How far is the final image from the converging lens?


 * a) 5.64 x 100 cm
 * b) 1.78 x 101 cm
 * c) 5.64 x 101 cm
 * d) 1.78 x 102 cm
 * e) 5.64 x 102 cm

188) A circlular capactitor of radius 4.4 m has a gap of 8 mm, and a charge of 85 &mu;C.  Compute the surface integral  $$c^{-2}\oint\vec E\cdot d\vec A$$ over an inner face of the capacitor.


 * a) 4.96E-11 Vs2m-1
 * b) 6.01E-11 Vs2m-1
 * c) 7.28E-11 Vs2m-1
 * d) 8.82E-11 Vs2m-1
 * e) 1.07E-10 Vs2m-1

189) A very long and thin solenoid has 1259 turns and is 154 meters long. The wire carrys a current of 9A. What is the magnetic field in the center?


 * a) 9.25E-05 Tesla
 * b) 1.01E-04 Tesla
 * c) 1.11E-04 Tesla
 * d) 1.22E-04 Tesla
 * e) 1.34E-04 Tesla

190) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * a) is reduced by a factor of 4
 * b) becomes twice as big
 * c) stays the same
 * d) is cut in half
 * e) becomes 4 times as big

191) If you play the solitaire game 6 times, you will on average win ___ times.
 * a) 5
 * b) 6
 * c) 4
 * d) 2
 * e) 3

192) A circlular capactitor of radius 4.9 m has a gap of 14 mm, and a charge of 56 &mu;C.  The capacitor is discharged through a  6 k&Omega; resistor.  What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)


 * a) 3.18E-09 Tesla
 * b) 4.00E-09 Tesla
 * c) 5.04E-09 Tesla
 * d) 6.34E-09 Tesla
 * e) 7.99E-09 Tesla

193) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 2/5
 * b) 2/4=1/2
 * c) 3/4
 * d) 3/5
 * e) 5/6

194) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?
 * a) measuring both spin and polarization
 * b) measuring polarization
 * c) stopping the electron with an applied voltage
 * d) deflecting the electron with a magnetic field
 * e) measuring spin

195) When a 8.6 V battery operates a 2.76 W bulb, how many electrons pass through it each second?


 * a) 1.655E+18 electrons
 * b) 1.821E+18 electrons
 * c) 2.003E+18 electrons
 * d) 2.203E+18 electrons
 * e) 2.424E+18 electrons

196) In the figure shown C1=17.7 &mu;F, C2=2.48 &mu;F, and C3=4.68 &mu;F. The voltage source provides &epsilon;=12.7 V. What is the energy stored in C2?


 * a) 2.242E+01 &mu;J
 * b) 2.467E+01 &mu;J
 * c) 2.713E+01 &mu;J
 * d) 2.985E+01 &mu;J
 * e) 3.283E+01 &mu;J

197) A cylinder of radius, r=3, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.44+2.86z)\rho^2\hat\rho +7.42z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\oint\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the entire surface of the cylinder.


 * a) 9.41E+03
 * b) 1.14E+04
 * c) 1.38E+04
 * d) 1.67E+04
 * e) 2.03E+04

198) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.798 m. The magnetic field is spatially uniform but decays in time according to $$(3.7)e^{-\alpha t}$$, where $$\alpha=$$4.63 s. What is the current in the coil if the impedance of the coil is 75.7 &Omega;?


 * a) 2.651E-01 A
 * b) 2.917E-01 A
 * c) 3.208E-01 A
 * d) 3.529E-01 A
 * e) 3.882E-01 A

199) Amphere's law for magnetostatic currents is that $$\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$$ equals the current enclosed by the closed loop, and $$B=\mu_0H$$ is the magnetic field. A current of 4.7A flows upward along the z axis. Noting that for this geometry, $$\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$$, calculate the line integral $$\oint d\ell$$ for a circle of radius 6.5m.


 * a) 3.10E+01 m
 * b) 3.40E+01 m
 * c) 3.72E+01 m
 * d) 4.08E+01 m
 * e) 4.48E+01 m

200) If you put an infinite number of resistors in parallel, what would the total resistance be?
 * a) None of these are true.
 * b) $$R_{total}$$ would approach 1 as The No. of Resistors In parallel Approaches Infinity
 * c) $$R_{total}$$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.
 * d) It is not possible to connect that Number of Resistors in parallel.

201) A circular current loop of radius 1.59 cm carries a current of 1.13 mA. What is the magnitude of the torque if the dipole is oriented at 41 &deg; to a uniform magnetic fied of 0.189 T?


 * a) 1.113E-07 N m
 * b) 1.224E-07 N m
 * c) 1.347E-07 N m
 * d) 1.481E-07 N m
 * e) 1.629E-07 N m

202) A 1.4 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?


 * a) 0.86 kV/m.
 * b) 0.99 kV/m.
 * c) 1.14 kV/m.
 * d) 1.31 kV/m.
 * e) 1.51 kV/m.

203) A photon is polarized at 5&deg; when it encounters a filter oriented at 65&deg;. What is the probability that it is blocked?
 * a) 3/4
 * b) 1/2
 * c) 0
 * d) 1
 * e) 1/4

204) H is defined by, B=&mu;0H, where B is magnetic field. A current of 66A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from  ( -&infin; ,5.5) to (+ &infin; ,5.5).


 * a) 3.01E+01 amps
 * b) 3.30E+01 amps
 * c) 3.62E+01 amps
 * d) 3.97E+01 amps
 * e) 4.35E+01 amps

205) 3 amps flow through a 1 Ohm resistor. What is the voltage?
 * a) $$1V$$
 * b) $$\frac{1}{3}V$$
 * c) None these are correct.
 * d) $$3V$$

206) A 42 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 98 kW?


 * a) 1.641E+02 km
 * b) 1.805E+02 km
 * c) 1.986E+02 km
 * d) 2.184E+02 km
 * e) 2.403E+02 km

207) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?
 * a) $$\frac{3}{6}\Omega$$.
 * b) $$\frac{6}{3}\Omega$$.
 * c) $$\frac{11}{6}\Omega$$.
 * d) $$\frac{6}{11}\Omega$$.

208) A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?
 * a) 12A
 * b) 1.5A
 * c) 3A
 * d) 2A

209) A proton is accelerated (at rest) from a plate held at 333.6 volts to a plate at zero volts. What is the final speed?


 * a) 1.1 x 105 m/s.
 * b) 1.7 x 105 m/s.
 * c) 2.5 x 105 m/s.
 * d) 3.8 x 105 m/s.
 * e) 5.7 x 105 m/s.

210) The resistances in the figure shown are R1= 1.1 &Omega;, R2= 1.55 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.545 V and 3.22 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * a) 1.886E-01 A
 * b) 2.075E-01 A
 * c) 2.282E-01 A
 * d) 2.510E-01 A
 * e) 2.761E-01 A

211) Calculate the quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * a) +1/5
 * b) 0
 * c) &minus;1/5
 * d) &minus;2/5
 * e) +2/5
 * f) +1

212) When light passes from air to glass
 * a) the frequency decreases
 * b) it bends towards the normal
 * c) it does not bend
 * d) it bends away from the normal
 * e) the frequency increases

213) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=  H\rho z$$
 * b) $$\varepsilon_0 E = H\rho /2$$
 * c) none of these are correct
 * d) $$\varepsilon_0 E=  H\rho $$
 * e) $$\varepsilon_0 E=   \rho z $$

214) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?
 * a) The object with the greater volume.
 * b) No unique answer exists because two variables are involved (temperature and volume).
 * c) They both emit the same number of photons (since the holes are identical).
 * d) The object with the greater temperature emits more.

215) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and  P2 where the polar coordinates (r,&phi;) of  P1 are  (7 cm, 0&deg;) and  P2 is at (16 cm, 11&deg;).


 * a) 3.581E+02 V
 * b) 3.939E+02 V
 * c) 4.333E+02 V
 * d) 4.767E+02 V
 * e) 5.243E+02 V

216) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * a) 5/4
 * b) 1/4
 * c) 3/4
 * d) 1
 * e) 0
 * f) 1/2

217) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at  (x,y) =( 1.1a, 1.2a) is &beta;kQ/a2, where &beta; equals


 * a) 2.36 x 10-1 unit
 * b) 2.86 x 10-1 unit
 * c) 3.47 x 10-1 unit
 * d) 4.2 x 10-1 unit
 * e) 5.09 x 10-1 unit

218) A cylinder of height 1.34 cm and radius 2.47 cm is cut into a wedge as shown. Now imagine that the volume grows as &theta; increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 1.23 cm from point O and moves at a speed of 6.23 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.) --(Answer & Why this question is different.)


 * a) 1.414E+01 cm3/s
 * b) 1.556E+01 cm3/s
 * c) 1.711E+01 cm3/s
 * d) 1.882E+01 cm3/s
 * e) 2.070E+01 cm3/s

219) Under most conditions the current is distributed uniformly over the cross section of the wire.  What is the magnetic field 2.59 mm from the center of a wire of radius 5 mm if the current is 1A?


 * a) 2.072E-05 T
 * b) 2.279E-05 T
 * c) 2.507E-05 T
 * d) 2.758E-05 T
 * e) 3.034E-05 T

220) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=6\times 10^{-7}\text{m}$$. What is the magnitude of the net force on $$q_2$$ if $$q_1=3e$$, $$q_2=-7e$$, and $$q_3=5e$$?


 * a) 9.958E-15 N
 * b) 1.095E-14 N
 * c) 1.205E-14 N
 * d) 1.325E-14 N
 * e) 1.458E-14 N

221) Two large parallel conducting plates are separated by 7.93 mm. Equal and opposite surface charges of 7.720E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 77 V?


 * a) 6.678E-01 mm
 * b) 7.679E-01 mm
 * c) 8.831E-01 mm
 * d) 1.016E+00 mm
 * e) 1.168E+00 mm

222) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=4\times 10^{-7}\text{m}$$.what angle does the force on $$q_2$$ make above the $$-x$$ axis if $$q_1=3e$$, $$q_2=-9e$$, and $$q_3=6e$$?


 * a) 5.767E+01 degrees
 * b) 6.343E+01 degrees
 * c) 6.978E+01 degrees
 * d) 7.676E+01 degrees
 * e) 8.443E+01 degrees

223) Which lens has the shorter focal length?
 * a) Ray_drawing_eye_schematic.svg
 * b) Ray drawing eye schematic01.svg
 * c) They have the same focal lengh.

224) Two sources of emf &epsilon;1=57.0 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=4.95 k&Omega; and  R2=2.09 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.23 mA and I4=1.04 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * a) 1.921E+01 V
 * b) 2.114E+01 V
 * c) 2.325E+01 V
 * d) 2.557E+01 V
 * e) 2.813E+01 V

225) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) $$\varepsilon_0 E=   \rho z $$
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) $$\varepsilon_0 E=  H\rho $$
 * d) none of these are correct
 * e) $$\varepsilon_0 E = H\rho /2$$

226) Two resistors are in parallel with a voltage source. How do their voltages compare?
 * a) The voltage across both resistors is half the voltage of the source.
 * b) None of these are true.
 * c) The voltage across both resistors is the same as the source.
 * d) One has full voltage, the other has none.

227) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * a) 2.467E+00 V
 * b) 2.714E+00 V
 * c) 2.985E+00 V
 * d) 3.283E+00 V
 * e) 3.612E+00 V

228) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?
 * a) None of these are true
 * b) 25 Joules
 * c) 3 Joules
 * d) 5 Joules

229) A wire carries a current of 338 A in a circular arc with radius 2.62 cm swept through 79 degrees. Assuming that the rest of the current is 100% shielded by  mu-metal, what is the magnetic field at the center of the arc?


 * a) 4.387E+00 Tesla
 * b) 4.826E+00 Tesla
 * c) 5.309E+00 Tesla
 * d) 5.839E+00 Tesla
 * e) 6.423E+00 Tesla

230) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 4
 * b) s&minus;8
 * c) 8&minus;s
 * d) 4&minus;s
 * e) s&minus;4

231) What is the current through R1, R2, R3, and R4 in the figure shown?
 * a) $$I_1 = 1A$$; $$I_2 = 0.5A$$; $$I_3 = 0.33A$$; $$I_4 = 0.25A$$.
 * b) $$I_1 = 0.25A$$; $$I_2 = 0.33A$$; $$I_3 = 0.5A$$; $$I_4 = 0.1A$$.
 * c) $$I_1 = 1A$$; $$I_2 = 5A$$; $$I_3 = 3.3A$$; $$I_4 = 2.5A$$.
 * d) $$I_1 = 10A$$; $$I_2 = 50A$$; $$I_3 = 33A$$; $$I_4 = 25A$$..

232) A parallel plate capacitor with a capicatnce C=8.20E-06 F whose plates have an area A=6.20E+03 m2 and separation d=6.70E-03 m is connected via a swith to a 75 &Omega; resistor and a battery of voltage V0=17 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=6.50E-04?


 * a) 1.505E+03 V/m
 * b) 1.656E+03 V/m
 * c) 1.821E+03 V/m
 * d) 2.003E+03 V/m
 * e) 2.204E+03 V/m

233) A given battery has a 14 V emf and an internal resistance of 0.198 &Omega;. If it is connected to a 0.534 &Omega; resistor what is the power dissipated by that load?


 * a) 1.776E+02 W
 * b) 1.953E+02 W
 * c) 2.149E+02 W
 * d) 2.364E+02 W
 * e) 2.600E+02 W

234) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * a) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * c) none of these are correct
 * d) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * e) $$ r^2\varepsilon_0 E=r^3\rho /2$$

235) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?


 * a) 2.3 x 105 volts
 * b) 3.4 x 105 volts
 * c) 5.1 x 105 volts
 * d) 7.7 x 105 volts
 * e) 1.2 x 106 volts

236) An ideal 3.6 V voltage source is connected to two resistors in parallel.  One is 2.2$$k\Omega$$, and the other is 4.2 $$k\Omega$$.  What is the current through the larger resistor?


 * a) 0.43 mA.
 * b) 0.49 mA.
 * c) 0.56 mA.
 * d) 0.65 mA.
 * e) 0.74 mA.

237) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * a) 3/32
 * b) 3/16
 * c) 1/16
 * d) 1/8
 * e) 1/32

238) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * a) 3/4
 * b) 5/6
 * c) 2/4=1/2
 * d) 2/5
 * e) 3/5

239) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * a) lose 3 points
 * b) lose 1 point
 * c) win 1 point
 * d) be disqualified for cheating
 * e) win 3 points

240) If the wavelength &lambda; associated with a photon is cut in half, the photon's energy E
 * a) is cut in half
 * b) becomes twice as big
 * c) stays the same
 * d) is reduced by a factor of 4
 * e) becomes 4 times as big

241) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * a) 6mW
 * b) 8mW
 * c) 3mW
 * d) 4mW
 * e) 9mW

242) An loop of wire with 80 turns has a radius of 0.52 meters, and is oriented with its axis parallel to a magetic field of 0.15 Tesla. What is the induced voltage if this field is reduced to  19% of its original value in 3.6 seconds?


 * a) 1.06 x 100 volts
 * b) 1.29 x 100 volts
 * c) 1.56 x 100 volts
 * d) 1.89 x 100 volts
 * e) 2.29 x 100 volts

243) Two loops of wire carry the same current of 64 kA, and flow in the same direction. They share a common axis and orientation.  One loop has a radius of 0.838 m while the other has a radius of 1.17 m.  What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.528 m from the first (smaller) loopif the disance between the loops is 1.62 m?


 * a) 3.863E-02 T
 * b) 4.249E-02 T
 * c) 4.674E-02 T
 * d) 5.141E-02 T
 * e) 5.655E-02 T

244) When light passes from glass to air
 * a) the frequency increases
 * b) it bends towards the normal
 * c) it bends away from the normal
 * d) the frequency decreases
 * e) it does not bend

245) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H_y$$ at the point (7.8338,2.4233) if a current of 7.2A flows through a wire that runs along the z axis?


 * a) 1.01E-01 A/m
 * b) 1.11E-01 A/m
 * c) 1.22E-01 A/m
 * d) 1.34E-01 A/m
 * e) 1.46E-01 A/m

246) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?


 * a) 6.534E+01 N/C
 * b) 7.187E+01 N/C
 * c) 7.906E+01 N/C
 * d) 8.696E+01 N/C
 * e) 9.566E+01 N/C

247) A battery has an emf of 5.5 volts, and an internal resistance of 296 $$k\Omega$$. It is connected to a 3.3 $$M\Omega$$ resistor.  What power is developed in the 3.3  $$M\Omega$$ resistor?


 * a) 7.72 $$\mu$$W.
 * b) 8.88 $$\mu$$W.
 * c) 10.21 $$\mu$$W.
 * d) 11.74 $$\mu$$W.
 * e) 13.5 $$\mu$$W.

248) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.5 kA, I2=1.28 kA, and I3=3.4 kA, take the $$\omega$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * a) 4.362E-03 T-m
 * b) 4.798E-03 T-m
 * c) 5.278E-03 T-m
 * d) 5.806E-03 T-m
 * e) 6.386E-03 T-m

249) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * a) 2 &minus; s
 * b) s &minus; 9
 * c) 9 &minus; s
 * d) 2
 * e) s &minus; 2

250) An alpha-particle (q=3.2x10&minus;19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the  x-component of the force on the alpha-particle if it is moving with a velocity (2.85 i + 1.28 j  + 8.49 k) x 104 m/s?


 * a) 2.222E-14 N
 * b) 2.444E-14 N
 * c) 2.688E-14 N
 * d) 2.957E-14 N
 * e) 3.253E-14 N

251) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
 * a) 1/4
 * b) 1/2
 * c) 1
 * d) 3/4
 * e) 5/4
 * f) 0

252) A photon is polarized at 5&deg; when it encounters a filter oriented at 35&deg;. What is the probability that it passes?
 * a) 3/4
 * b) 0
 * c) 1
 * d) 1/4
 * e) 1/2

253) The silver ribbon shown are a=3.96 cm, b=3.35 cm, and c= 1.07 cm. The current carries a current of 295 A and it lies in a uniform magnetic field of 3.4 T.  Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.


 * a) 9.015E-06 V
 * b) 9.916E-06 V
 * c) 1.091E-05 V
 * d) 1.200E-05 V
 * e) 1.320E-05 V

254) The output of an ac generator connected to an RLC series combination has a frequency of 410 Hz and an amplitude of 0.82 V;. If R =7 &Omega;, L= 9.70E-03H, and C=9.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?


 * a) 1.176E+00 &rad;
 * b) 1.293E+00 &rad;
 * c) 1.422E+00 &rad;
 * d) 1.565E+00 &rad;
 * e) 1.721E+00 &rad;

255) If you play the solitaire game 3 times, you will on average lose ___ times.
 * a) 4
 * b) 1
 * c) 2
 * d) 5
 * e) 3

256) Three resistors, R1 = 1.43 &Omega;, and R2 = R2 = 3.25 &Omega;, are connected in parallel to a 9.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * a) 5.184E+01 W
 * b) 5.702E+01 W
 * c) 6.272E+01 W
 * d) 6.900E+01 W
 * e) 7.590E+01 W

257) The current through the windings of a solenoid with n= 2.060E+03 turns per meter is changing at a rate dI/dt=12 A/s. The solenoid is 68 cm long and has a cross-sectional diameter of 2.96 cm.  A small coil consisting of N=29turns wraped in a circle of diameter 1.74 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil.  What is the emf induced in the coil?


 * a) 1.463E-04 V
 * b) 1.609E-04 V
 * c) 1.770E-04 V
 * d) 1.947E-04 V
 * e) 2.142E-04 V

258) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at  (x,y) =( 6a, 5a) is &beta;kQ/a2, where &beta; equals


 * a) 1.61 x 10-3 unit
 * b) 1.95 x 10-3 unit
 * c) 2.36 x 10-3 unit
 * d) 2.86 x 10-3 unit
 * e) 3.46 x 10-3 unit

259) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * a) none of these are correct
 * b) $$2R\varepsilon_0 E=  r^2\rho $$
 * c) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * d) $$2\varepsilon_0 E = r\rho $$
 * e) $$2r\varepsilon_0 E = R^2\rho $$

260) Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * a) how a farsighted person might see an object that is too close for comfort
 * b) how a nearsighted person might see an object that is too close for comfort
 * c) how a nearsighted person might see a distant object
 * d) how a farsighted person might see a distant object

261) Two 9.4 ohm resistors are connected in parallel.  This combination is then connected in series to a 2.4 ohm resistor.  What is the net resistance?


 * a) 5.4 ohms.
 * b) 6.2 ohms.
 * c) 7.1 ohms.
 * d) 8.2 ohms.
 * e) 9.4 ohms.


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Key: A0
1) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=4\times 10^{-7}\text{m}$$. What is the magnitude of the net force on $$q_2$$ if $$q_1=1e$$, $$q_2=-7e$$, and $$q_3=4e$$?


 * -a) 9.750E-15 N
 * -b) 1.072E-14 N
 * -c) 1.180E-14 N
 * -d) 1.298E-14 N
 * +e) 1.427E-14 N

2) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=2\times 10^{-7}\text{m}$$.what angle does the force on $$q_2$$ make above the $$-x$$ axis if $$q_1=1e$$, $$q_2=-7e$$, and $$q_3=4e$$?


 * -a) 4.091E+01 degrees
 * +b) 4.500E+01 degrees
 * -c) 4.950E+01 degrees
 * -d) 5.445E+01 degrees
 * -e) 5.990E+01 degrees

3) $$E_z(x=0,z)=\int_{-a}^b f(x,z)dx$$ is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m.  Evaluate $$f(x,y)$$ at x=0.83 m if a=0.7 m, b=1.8 m.  The total charge on the rod is 9 nC.


 * +a) 6.897E+00 V/m2
 * -b) 7.587E+00 V/m2
 * -c) 8.345E+00 V/m2
 * -d) 9.180E+00 V/m2
 * -e) 1.010E+01 V/m2

4) A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?


 * -a) 2.013E+09 N/C2
 * -b) 2.214E+09 N/C2
 * -c) 2.435E+09 N/C2
 * -d) 2.679E+09 N/C2
 * +e) 2.947E+09 N/C2

5) $$E(z)=\int_{0}^R f(r',z)dr'$$ is an integral that calculates the magnitude of the electric field at a distance $$z$$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk.  The disk's radius is $$R=8.3\text{ m}$$ and the surface charge density is $$\sigma=5\text{ nC/m}^3$$. Evaluate $$f(r',z)$$ at $$r'=5.3\text{ m}$$.


 * +a) 1.022E+00 V/m2
 * -b) 1.125E+00 V/m2
 * -c) 1.237E+00 V/m2
 * -d) 1.361E+00 V/m2
 * -e) 1.497E+00 V/m2

6) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?


 * -a) 9.546E+01 N/C
 * -b) 1.050E+02 N/C
 * -c) 1.155E+02 N/C
 * +d) 1.271E+02 N/C
 * -e) 1.398E+02 N/C

7) What is the magnitude of the electric field at the origin if a 2.7 nC charge is placed at x = 9.1 m, and a 2.5 nC charge is placed at y = 5.9 m?


 * -a) 3.99 x 10-1N/C
 * -b) 4.6 x 10-1N/C
 * -c) 5.32 x 10-1N/C
 * -d) 6.14 x 10-1N/C
 * +e) 7.09 x 10-1N/C

8) What angle does the electric field at the origin make with the x-axis if a 2.6 nC charge is placed at x = -8.3 m, and a 2.5  nC charge is placed at y = -9.6 m?


 * -a) 2.32 x 101degrees
 * -b) 2.68 x 101degrees
 * -c) 3.09 x 101degrees
 * +d) 3.57 x 101degrees
 * -e) 4.12 x 101degrees

9) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at  (x,y) =( 5a, 4a) is &beta;kQ/a2, where &beta; equals


 * -a) 1.76 x 10-3 unit
 * -b) 2.13 x 10-3 unit
 * -c) 2.59 x 10-3 unit
 * +d) 3.13 x 10-3 unit
 * -e) 3.79 x 10-3 unit

10) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at  (x,y) =( 1.1a, 1.2a) is &beta;kQ/a2, where &beta; equals


 * -a) 1.95 x 10-1 unit
 * -b) 2.36 x 10-1 unit
 * -c) 2.86 x 10-1 unit
 * +d) 3.47 x 10-1 unit
 * -e) 4.2 x 10-1 unit

11) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal B=$$
 * -a) 3
 * -b) &minus;3
 * -c) &minus;3
 * +d) 2
 * -e) &minus;7

12) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) s&minus;4
 * -b) 5
 * -c) s&minus;1
 * -d) 5&minus;s
 * +e) 1&minus;s

13) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal F=$$:
 * -a) 3
 * -b) 2
 * -c) 2/3
 * -d) 1/2
 * +e) 3/2

14) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 3&minus;s
 * +b) 7&minus;s
 * -c) s&minus;7
 * -d) s&minus;3
 * -e) 8

15) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * +a) (7-s)2 + 82
 * -b) 32 + 82
 * -c) 72 + 82
 * -d) 72 + (8&minus;s)2
 * -e) 72 + (3&minus;s)2

16) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$
 * -a) 3
 * -b) s&minus;7
 * -c) 3&minus;s
 * -d) s&minus;3
 * +e) 7&minus;s

17) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where$$\mathcal F=$$
 * +a) 3/2
 * -b) 3
 * -c) 1/2
 * -d) 2

18) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 2 &minus; s
 * -b) s &minus; 9
 * +c) 9 &minus; s
 * -d) s &minus; 2
 * -e) 2

19) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * -a) 92 + (2-s)2
 * +b) 22 + (9-s)2
 * -c) 92 + (7-s)2
 * -d) 22 + (7-s)2
 * -e) 72 + (2-s)2

20) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal A=$$:
 * -a) 8
 * -b) 2
 * +c) 4
 * -d) 1/2

21) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * +a) 4
 * -b) 8&minus;s
 * -c) s&minus;4
 * -d) 4&minus;s
 * -e) s&minus;8

22) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 4&minus;s
 * -b) s&minus;4
 * +c) 8&minus;s
 * -d) 4
 * -e) s&minus;8

23) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * +a) 5
 * -b) s&minus;1
 * -c) 1&minus;s
 * -d) 5&minus;s
 * -e) s&minus;4

24) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.8 m, z=z0=1.3 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 9.8m2 ,and those in the zx plane have area 7.4m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 46&deg; above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * -a) 8.457E+01 N&middot;m2/C
 * +b) 9.303E+01 N&middot;m2/C
 * -c) 1.023E+02 N&middot;m2/C
 * -d) 1.126E+02 N&middot;m2/C
 * -e) 1.238E+02 N&middot;m2/C

25) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.8 m, y=y1=5.8 m, z=z0=1.9 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 8.0m2 ,and those in the zx plane have area 8.0m2. An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 39&deg; from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * -a) 3.662E+01 N&middot;m2/C
 * +b) 4.028E+01 N&middot;m2/C
 * -c) 4.430E+01 N&middot;m2/C
 * -d) 4.873E+01 N&middot;m2/C
 * -e) 5.361E+01 N&middot;m2/C

26) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.6 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.9 m, z=z0=1.9 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 12.0m2 ,and those in the zx plane have area 8.1m2. An electric field has the xyz components (0, 8.1, 6.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * +a) 6.529E+01 N&middot;m2/C
 * -b) 7.181E+01 N&middot;m2/C
 * -c) 7.900E+01 N&middot;m2/C
 * -d) 8.690E+01 N&middot;m2/C
 * -e) 9.559E+01 N&middot;m2/C

27) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=4), and (x=7, y=4), where x and y are measured in meters. The electric field is, $$\vec E=2y^{2.2}\hat i +3x^{2.1}\hat j +5y^{3.3}\hat k$$


 * -a) 2.610E+03 V&middot;m
 * -b) 2.871E+03 V&middot;m
 * +c) 3.158E+03 V&middot;m
 * -d) 3.474E+03 V&middot;m
 * -e) 3.822E+03 V&middot;m

28) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 2.0 nano-Coulombs. What is the magnitude of the electric field at a distance of 3.7 m from the center of the shells?


 * -a) 2.964E+00 N/C
 * -b) 3.260E+00 N/C
 * -c) 3.586E+00 N/C
 * +d) 3.944E+00 N/C
 * -e) 4.339E+00 N/C

29) A non-conducting sphere of radius R=2.9 m has a non-uniform charge density that varies with the distnce from its center as given by &rho;(r)=ar1.5 (r&le;R) where a=3 nC&middot;m-1.5. What is the magnitude of the electric field at a distance of 1.7 m from the center?


 * -a) 2.579E+02 N/C
 * +b) 2.837E+02 N/C
 * -c) 3.121E+02 N/C
 * -d) 3.433E+02 N/C
 * -e) 3.776E+02 N/C

30) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.14+2.8z)\rho^2\hat\rho +9.94z^2\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{top}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the top surface of the cylinder.


 * -a) 2.810E+02
 * -b) 3.404E+02
 * -c) 4.124E+02
 * +d) 4.996E+02
 * -e) 6.053E+02

31) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.05+2.05z)\rho^2\hat\rho +9.62z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{side}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the curved side surface of the cylinder.


 * -a) 2.318E+02
 * -b) 2.808E+02
 * -c) 3.402E+02
 * +d) 4.122E+02
 * -e) 4.994E+02

32) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (1.86+2.43z)\rho^2\hat\rho +9.75z^2\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\oint\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the entire surface of the cylinder.


 * -a) 4.63E+02
 * +b) 5.61E+02
 * -c) 6.80E+02
 * -d) 8.23E+02
 * -e) 9.98E+02

33) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=   \rho z $$
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * -c) none of these are correct
 * +d) $$\varepsilon_0 E = H\rho /2$$
 * -e) $$\varepsilon_0 E=  H\rho $$

34) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) $$\varepsilon_0 E = H\rho /2$$
 * +b) $$\varepsilon_0 E=   \rho z $$
 * -c) $$\varepsilon_0 E=  H\rho z$$
 * -d) $$\varepsilon_0 E=  H\rho $$
 * -e) none of these are correct

35) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * -a) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * -b) none of these are correct
 * +c) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * -d) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * -e) $$ r^2\varepsilon_0 E=r^3\rho /2$$

36) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * -a) none of these are correct
 * -b) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * +c) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * -d) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * -e) $$ r^2\varepsilon_0 E=R^3\rho /3$$

37) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * -a) $$2r\varepsilon_0 E = R^2\rho $$
 * -b) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * +c) $$2\varepsilon_0 E = r\rho $$
 * -d) none of these are correct
 * -e) $$2R\varepsilon_0 E=  r^2\rho $$

38) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * -a) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -b) $$2\varepsilon_0 E = r\rho $$
 * -c) $$2R\varepsilon_0 E=  r^2\rho $$
 * -d) none of these are correct
 * +e) $$2r\varepsilon_0 E = R^2\rho $$

39) A 7 C charge is separated from a 12 C charge by distance of 9 cm.  What is the work done by increasing this separation to 15 cm?


 * -a) 2.292E-06 J
 * -b) 2.521E-06 J
 * -c) 2.773E-06 J
 * -d) 3.050E-06 J
 * +e) 3.355E-06 J

40) Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 5.650E+01 J
 * -b) 6.215E+01 J
 * -c) 6.837E+01 J
 * -d) 7.520E+01 J
 * +e) 8.272E+01 J

41) A 12.0 V battery can move 11,000 C of charge. How many Joules does it deliver?


 * -a) 1.200E+05 J
 * +b) 1.320E+05 J
 * -c) 1.452E+05 J
 * -d) 1.597E+05 J
 * -e) 1.757E+05 J

42) When a 3.8 V battery operates a 1.67 W bulb, how many electrons pass through it each second?


 * -a) 1.873E+18 electrons
 * -b) 2.061E+18 electrons
 * -c) 2.267E+18 electrons
 * -d) 2.494E+18 electrons
 * +e) 2.743E+18 electrons

43) Calculate the final speed of a free electron accelerated from rest through a potential difference of 16 V.


 * -a) 2.157E+06 m/s
 * +b) 2.372E+06 m/s
 * -c) 2.610E+06 m/s
 * -d) 2.871E+06 m/s
 * -e) 3.158E+06 m/s

44) An electron gun has parallel plates separated by 4.25 cm and gives electrons 15 keV of energy. What force would the field between the plates exert on a 0.518 &mu;C charge that gets between the plates?


 * -a) 1.374E-01 N
 * -b) 1.511E-01 N
 * -c) 1.662E-01 N
 * +d) 1.828E-01 N
 * -e) 2.011E-01 N

45) Assume that a 14 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and  P2 where the polar coordinates (r,&phi;) of  P1 are  (9 cm, 0&deg;) and  P2 is at (15 cm, 22&deg;).


 * +a) 5.592E+02 V
 * -b) 6.151E+02 V
 * -c) 6.767E+02 V
 * -d) 7.443E+02 V
 * -e) 8.188E+02 V

46) A Van de Graff generator has a 116 cm diameter metal sphere that produces 246 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.193E+01 &mu;C
 * -b) 1.312E+01 &mu;C
 * -c) 1.443E+01 &mu;C
 * +d) 1.588E+01 &mu;C
 * -e) 1.746E+01 &mu;C

47) A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.51 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.85 cm, y=1.75 cm)? Note that following the textbook's example, the y-value of the field point at 1.75 cm matches the disance of the positive charge above the x-axis.


 * -a) 2.073E+02 V
 * -b) 2.281E+02 V
 * -c) 2.509E+02 V
 * -d) 2.760E+02 V
 * +e) 3.035E+02 V

48) If a 21 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=94 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.371E+00 m
 * -b) 1.509E+00 m
 * -c) 1.659E+00 m
 * -d) 1.825E+00 m
 * +e) 2.008E+00 m

49) Two large parallel conducting plates are separated by 9.58 mm. Equal and opposite surface charges of 7.360E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 84 V?


 * -a) 6.644E-01 mm
 * -b) 7.641E-01 mm
 * -c) 8.787E-01 mm
 * +d) 1.011E+00 mm
 * -e) 1.162E+00 mm

50) An empty parallel-plate capacitor with metal plates has an area of 2.42 m2, separated by 1.33 mm. How much charge does it store if the voltage is 1.130E+03 V?


 * -a) 1.368E+01 &mu;C
 * -b) 1.505E+01 &mu;C
 * -c) 1.655E+01 &mu;C
 * +d) 1.820E+01 &mu;C
 * -e) 2.003E+01 &mu;C

51) What is the net capacitance if C1=2.25 &mu;F, C2=4.16 &mu;F, and C3=2.49 &mu;F in the configuration shown?


 * -a) 2.698E+00 &mu;F
 * -b) 2.968E+00 &mu;F
 * -c) 3.265E+00 &mu;F
 * -d) 3.591E+00 &mu;F
 * +e) 3.950E+00 &mu;F

52) In the figure shown C1=16.9 &mu;F, C2=2.3 &mu;F, and C3=4.67 &mu;F. The voltage source provides &epsilon;=13.4 V. What is the charge on C1?


 * -a) 6.011E+01 &mu;C
 * +b) 6.613E+01 &mu;C
 * -c) 7.274E+01 &mu;C
 * -d) 8.001E+01 &mu;C
 * -e) 8.801E+01 &mu;C

53) In the figure shown C1=16.7 &mu;F, C2=2.26 &mu;F, and C3=4.53 &mu;F. The voltage source provides &epsilon;=10.7 V. What is the energy stored in C2?


 * -a) 1.292E+01 &mu;J
 * -b) 1.421E+01 &mu;J
 * -c) 1.563E+01 &mu;J
 * +d) 1.719E+01 &mu;J
 * -e) 1.891E+01 &mu;J

54) A parallel plate capacitor has both plates with an area of 1.05 m2. The separation between the plates is  0.63mm.  Applied to the plates is a potential difference of 4.35 kV.  What is the capacitance?


 * -a) 11.16 nF.
 * -b) 12.83 nF.
 * +c) 14.76 nF.
 * -d) 16.97 nF.
 * -e) 19.52 nF.

55) The same parallel plate capacitor, with area 0.75 m2, plate separation  0.53mm, and an applied voltage of 3.55 kV.  How much charge is stored?


 * -a) 29.25 &mu;C.
 * -b) 33.63 &mu;C.
 * -c) 38.68 &mu;C.
 * +d) 44.48 &mu;C.
 * -e) 51.15 &mu;C.

56) A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?


 * -a) 3.2 kV/m.
 * -b) 3.68 kV/m.
 * -c) 4.24 kV/m.
 * +d) 4.87 kV/m.
 * -e) 5.6 kV/m.

57) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?


 * -a) 0.81 J.
 * -b) 0.93 J.
 * +c) 1.07 J.
 * -d) 1.23 J.
 * -e) 1.41 J.

58) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the force between the plates if they are 0.6 mm apart?


 * -a) 2381 N.
 * -b) 2738 N.
 * +c) 3149 N.
 * -d) 3621 N.
 * -e) 4164 N.

59) How fast is a 2928 eV electron moving?


 * -a) 6.3 x 106 m/s.
 * -b) 9.5 x 106 m/s.
 * -c) 1.4 x 107 m/s.
 * -d) 2.1 x 107 m/s.
 * +e) 3.2 x 107 m/s.

60) A proton is accellerated (at rest) from a plate held at 318.6 volts to a plate at zero volts. What is the final speed?


 * -a) 1.6 x 105 m/s.
 * +b) 2.5 x 105 m/s.
 * -c) 3.7 x 105 m/s.
 * -d) 5.6 x 105 m/s.
 * -e) 8.3 x 105 m/s.

61) What voltage is required accelerate an electron at rest to a speed of 1.5 x 103 m/s?


 * -a) 1.9 x 10-6 volts
 * -b) 2.8 x 10-6 volts
 * -c) 4.3 x 10-6 volts
 * +d) 6.4 x 10-6 volts
 * -e) 9.6 x 10-6 volts

62) What voltage is required to stop a proton moving at a speed of 5.2 x 107 m/s?


 * -a) 9.4 x 106 volts
 * +b) 1.4 x 107 volts
 * -c) 2.1 x 107 volts
 * -d) 3.2 x 107 volts
 * -e) 4.8 x 107 volts

63) What is the average current involved when a truck battery sets in motion 728 C of charge in 3.94 s while starting an engine?


 * +a) 1.848E+02 A
 * -b) 2.032E+02 A
 * -c) 2.236E+02 A
 * -d) 2.459E+02 A
 * -e) 2.705E+02 A

64) The charge passing a plane intersecting a wire is $$Q_M=\left(1-e^{t/\tau}\right)$$, where $$Q_M$$=52 C  and $$\tau=$$0.018 s. What is the current at $$t=$$0.0207 s?


 * -a) 6.872E+02 A
 * -b) 7.560E+02 A
 * -c) 8.316E+02 A
 * +d) 9.147E+02 A
 * -e) 1.006E+03 A

65) Calculate the drift speed of electrons in a copper wire with a diameter of 5.46 mm carrying a 5.05 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.


 * +a) 1.614E-05 m/s
 * -b) 1.776E-05 m/s
 * -c) 1.953E-05 m/s
 * -d) 2.149E-05 m/s
 * -e) 2.363E-05 m/s

66) A make-believe metal has a density of 1.430E+04 kg/m3 and an atomic mass of 37.8 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.


 * -a) 1.882E+29 e&minus;/m3
 * -b) 2.070E+29 e&minus;/m3
 * +c) 2.277E+29 e&minus;/m3
 * -d) 2.505E+29 e&minus;/m3
 * -e) 2.756E+29 e&minus;/m3

67) A device requires consumes 78 W of power and requires 11.3 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.


 * -a) 1.953E+06 A/m2
 * +b) 2.148E+06 A/m2
 * -c) 2.363E+06 A/m2
 * -d) 2.599E+06 A/m2
 * -e) 2.859E+06 A/m2

68) Calculate the resistance of a 12-gauge copper wire that is 52 m long and carries a current of 99 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * -a) 1.983E-01 &Omega;
 * -b) 2.181E-01 &Omega;
 * -c) 2.399E-01 &Omega;
 * +d) 2.639E-01 &Omega;
 * -e) 2.903E-01 &Omega;

69) Calculate the electric field in a 12-gauge copper wire that is 84 m long and carries a current of 48 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * -a) 1.664E-04 V/m
 * -b) 1.830E-04 V/m
 * -c) 2.013E-04 V/m
 * -d) 2.215E-04 V/m
 * +e) 2.436E-04 V/m

70) Imagine a substance could be made into a very hot filament. Suppose the resitance is 1.98 &Omega; at a temperature of 92&deg;C and that the temperature coefficient of expansion is 5.080E-03 (&deg;C)&minus;1). What is the resistance at a temperature of 455 &deg;C?


 * -a) 5.363E+00 &Omega;
 * +b) 5.631E+00 &Omega;
 * -c) 5.913E+00 &Omega;
 * -d) 6.208E+00 &Omega;
 * -e) 6.519E+00 &Omega;

71) A DC winch moter draws 23 amps at 196 volts as it lifts a 4.870E+03 N weight at a constant speed of 0.731 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.


 * -a) 1.346E+00 &Omega;
 * -b) 1.481E+00 &Omega;
 * -c) 1.629E+00 &Omega;
 * +d) 1.792E+00 &Omega;
 * -e) 1.971E+00 &Omega;

72) What is consumer cost to operate one 73&minus;W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.113 per kilowatt-hour?


 * +a) $3.312E+01
 * -b) $3.643E+01
 * -c) $4.007E+01
 * -d) $4.408E+01
 * -e) $4.849E+01

73) A given battery has a 15 V emf and an internal resistance of 0.0536 &Omega;. If it is connected to a 0.64 &Omega; resistor what is the power dissipated by that load?


 * -a) 2.721E+02 W
 * +b) 2.993E+02 W
 * -c) 3.293E+02 W
 * -d) 3.622E+02 W
 * -e) 3.984E+02 W

74) A battery with a terminal voltage of 8.41 V is connected to a circuit consisting of 3 16.1 &Omega; resistors and one 10.9 &Omega; resistor. What is the voltage drop across the 10.9 &Omega; resistor?


 * -a) 1.058E+00 V
 * -b) 1.163E+00 V
 * -c) 1.280E+00 V
 * -d) 1.408E+00 V
 * +e) 1.548E+00 V

75) Three resistors, R1 = 1.31 &Omega;, and R2 = R2 = 2.91 &Omega;, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 2.294E+01 W
 * -b) 2.523E+01 W
 * +c) 2.776E+01 W
 * -d) 3.053E+01 W
 * -e) 3.359E+01 W

76) In the circuit shown V=15.4 V, R1=2.77 &Omega;, R2=6.07 &Omega;, and R3=14.5 &Omega;. What is the power dissipated by R2?


 * -a) 1.190E+01 W
 * -b) 1.309E+01 W
 * +c) 1.440E+01 W
 * -d) 1.584E+01 W
 * -e) 1.742E+01 W

77) The resistances in the figure shown are R1= 2.34 &Omega;, R2= 1.34 &Omega;, and R2= 2.94 &Omega;. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.541 V. What is the absolute value of the current through R1?


 * -a) 1.464E-01 A
 * +b) 1.610E-01 A
 * -c) 1.772E-01 A
 * -d) 1.949E-01 A
 * -e) 2.144E-01 A

78) Two sources of emf &epsilon;1=44.4 V, and  &epsilon;2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 k&Omega; and  R2=1.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 6.970E+00 mA
 * -b) 7.667E+00 mA
 * -c) 8.434E+00 mA
 * -d) 9.277E+00 mA
 * -e) 1.020E+01 mA

79) Two sources of emf &epsilon;1=49.8 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=2.78 k&Omega; and  R2=2.63 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.51 mA and I4=0.969 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 7.886E+00 V
 * -b) 8.675E+00 V
 * -c) 9.542E+00 V
 * -d) 1.050E+01 V
 * +e) 1.155E+01 V

80) Two sources of emf &epsilon;1=17.3 V, and  &epsilon;2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 k&Omega; and  R2=2.79 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 6.488E+00 V
 * +b) 7.137E+00 V
 * -c) 7.850E+00 V
 * -d) 8.635E+00 V
 * -e) 9.499E+00 V

81) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 505 V.  If the combined external and internal resistance is 189 &Omega and the capacitance is  74 mF, how long will it take for the capacitor's voltage to reach 374.0 V?


 * -a) 1.560E+01 s
 * -b) 1.716E+01 s
 * +c) 1.887E+01 s
 * -d) 2.076E+01 s
 * -e) 2.284E+01 s

82) A 5.1 volt battery moves 43 Coulombs of charge in 1.5 hours. What is the power?


 * +a) 4.06 x 10-2 W
 * -b) 4.92 x 10-2 W
 * -c) 5.96 x 10-2 W
 * -d) 7.22 x 10-2 W
 * -e) 8.75 x 10-2 W

83) The diameter of a copper wire is 3.8 mm, and it carries a current of 88 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m3 and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)


 * -a) 2.7 x 10-4m/s
 * -b) 3.27 x 10-4m/s
 * -c) 3.96 x 10-4m/s
 * -d) 4.79 x 10-4m/s
 * +e) 5.81 x 10-4m/s

84) A 196 Watt DC motor draws 0.35 amps of current. What is effective resistance?


 * +a) 1.6 x 103 &Omega;
 * -b) 1.94 x 103 &Omega;
 * -c) 2.35 x 103 &Omega;
 * -d) 2.85 x 103 &Omega;
 * -e) 3.45 x 103 &Omega;

85) A power supply delivers 145 watts of power to a 244 ohm resistor.  What was the applied voltage?


 * +a) 1.88 x 102 volts
 * -b) 2.28 x 102 volts
 * -c) 2.76 x 102 volts
 * -d) 3.34 x 102 volts
 * -e) 4.05 x 102 volts

86) 3 amps flow through a 1 Ohm resistor. What is the voltage?
 * -a) None these are correct.
 * -b) $$1V$$
 * +c) $$3V$$
 * -d) $$\frac{1}{3}V$$

87) A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?
 * +a) I = 5A &  P = 25W.
 * -b) I = 5A &  P = 3W.
 * -c) I = 5A &  P = 5W.
 * -d) I = 5A &  P = 9W

88) The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one?
 * +a) $$V_{Big-Resistor} = 6.67V$$ and $$V_{small-Resistor} = 3.33V$$.
 * -b) None of these are true.
 * -c) $$V_{Big-Resistor} = 3.33V$$ and$$V_{small-Resistor} = 6.67V$$.
 * -d) $$V_{small-Resistor} = 5V$$ and $$V_{Big-Resistor} = 5V$$.

89) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?
 * -a) None of these are true.
 * -b) $$R_{Total} = 3\Omega$$.
 * -c) $$R_{Total} = 0.5454\Omega$$.
 * +d) $$R_{Total} = 6\Omega$$.

90) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?
 * -a) $$R_1 = 150V$$ and $$R_2 = 100V$$.
 * -b) $$R_1 = 250V$$ and $$R_2 = 0V$$.
 * -c) None of these are true.
 * +d) $$R_1 = 125V$$ and $$R_2 = 125V$$.

91) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?
 * +a) $$\frac{6}{11}\Omega$$.
 * -b) $$\frac{3}{6}\Omega$$.
 * -c) $$\frac{6}{3}\Omega$$.
 * -d) $$\frac{11}{6}\Omega$$.

92) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?
 * -a) $$\frac{10}{6}\Omega$$.
 * -b) $$\frac{7}{10}\Omega$$.
 * +c) $$\frac{10}{7}\Omega$$.
 * -d) $$\frac{6}{10}\Omega$$.

93) A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?
 * +a) $$\frac{21}{10}\Omega$$.
 * -b) $$\frac{7}{11}\Omega$$.
 * -c) $$\frac{10}{21}\Omega$$.
 * -d) $$\frac{11}{7}\Omega$$.

94) Three 1 ohm resistors are connected in parallel. What is the total resistance?
 * -a) $$\frac{3}{2}\Omega$$.
 * -b) $$\frac{2}{3}\Omega$$.
 * -c) $$ 3\Omega$$.
 * +d) $$\frac{1}{3}\Omega$$.

95) If you put an infinite number of resistors in parallel, what would the total resistance be?
 * +a) $$R_{total}$$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.
 * -b) None of these are true.
 * -c) $$R_{total}$$ would approach 1 as The No. of Resistors In parallel Approaches Infinity
 * -d) It is not possible to connect that Number of Resistors in parallel.

96) What is the current through R1 and R2 in the figure shown?
 * -a) $$I_1 = 0.1A$$ and $$I_2 = 0.1667A$$.
 * +b) $$I_1 = 1A$$ and $$I_2 = 1.667A$$.
 * -c) $$I_1 = 1A$$ and $$I_2 = 25A$$.
 * -d) $$I_1 = 10A$$ and $$I_2 = 16.67A$$.

97) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?
 * -a) The other point could be Negative or positive.
 * -b) It's an Electrical Cliche.
 * -c) None these are correct
 * +d) Voltage is a measure of Electric Potential difference between two electrical points.

98) What is the current through R1, R2, R3, and R4 in the figure shown?
 * -a) $$I_1 = 10A$$; $$I_2 = 50A$$; $$I_3 = 33A$$; $$I_4 = 25A$$..
 * +b) $$I_1 = 1A$$; $$I_2 = 0.5A$$; $$I_3 = 0.33A$$; $$I_4 = 0.25A$$.
 * -c) $$I_1 = 0.25A$$; $$I_2 = 0.33A$$; $$I_3 = 0.5A$$; $$I_4 = 0.1A$$.
 * -d) $$I_1 = 1A$$; $$I_2 = 5A$$; $$I_3 = 3.3A$$; $$I_4 = 2.5A$$.

99) Two resistors are in parallel with a voltage source. How do their voltages compare?
 * -a) None of these are true.
 * -b) One has full voltage, the other has none.
 * +c) The voltage across both resistors is the same as the source.
 * -d) The voltage across both resistors is half the voltage of the source.

100) A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?
 * -a) 10V.
 * -b) 15V.
 * +c) 0.5V.
 * -d) 2V.

101) A resistor has 10 volts across it and 4 amps going through it. What is its resistance?
 * +a) $$2.5\Omega.$$
 * -b) $$3.5\Omega.$$
 * -c) None of these are true.
 * -d) $$4.5\Omega.$$

102) If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope?
 * -a) Discriminant.
 * -b) None of these are true.
 * +c) Resistance.
 * -d) Power.

103) A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?
 * -a) 1.5A
 * +b) 2A
 * -c) 12A
 * -d) 3A

104) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?
 * -a) 8W
 * -b) 3W
 * +c) 24W
 * -d) 2.2W

105) A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed?
 * -a) 11.67 Joules
 * -b) 2.5 Watts
 * +c) 1.67 Watts
 * -d) None of these are ture.

106) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?
 * +a) 25 Joules
 * -b) 3 Joules
 * -c) 5 Joules
 * -d) None of these are true

107) An ideal 3.1 V voltage source is connected to two resistors in parallel.  One is 1.5$$k\Omega$$, and the other is 2.2 $$k\Omega$$.  What is the current through the larger resistor?


 * -a) 0.55 mA.
 * -b) 0.63 mA.
 * -c) 0.73 mA.
 * +d) 0.84 mA.
 * -e) 0.96 mA.

108) A 8.1 ohm resistor is connected in series to a pair of 5.2 ohm resistors that are in parallel.  What is the net resistance?


 * -a) 6.1 ohms.
 * -b) 7 ohms.
 * -c) 8.1 ohms.
 * -d) 9.3 ohms.
 * +e) 10.7 ohms.

109) Two 9.4 ohm resistors are connected in parallel.  This combination is then connected in series to a 2.4 ohm resistor.  What is the net resistance?


 * -a) 5.4 ohms.
 * -b) 6.2 ohms.
 * +c) 7.1 ohms.
 * -d) 8.2 ohms.
 * -e) 9.4 ohms.

110) An ideal 7.8 volt battery is connected to a 0.064 ohm resistor.  To measure the current an ammeter with a resistance of 17$$m\Omega$$ is used.  What current does the ammeter actually read?


 * -a) 63.3 A.
 * -b) 72.8 A.
 * -c) 83.7 A.
 * +d) 96.3 A.
 * -e) 110.7 A.

111) A battery has an emf of 5.3 volts, and an internal resistance of 428 $$k\Omega$$. It is connected to a 2.3 $$M\Omega$$ resistor.  What power is developed in the 2.3  $$M\Omega$$ resistor?


 * -a) 4.96 $$\mu$$W.
 * -b) 5.71 $$\mu$$W.
 * -c) 6.56 $$\mu$$W.
 * -d) 7.55 $$\mu$$W.
 * +e) 8.68 $$\mu$$W.

112) An alpha-particle (q=3.2x10&minus;19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the  x-component of the force on the alpha-particle if it is moving with a velocity (5.64 i + 1.93 j  + 8.71 k) x 104 m/s?


 * -a) 1.757E-14 N
 * +b) 1.933E-14 N
 * -c) 2.126E-14 N
 * -d) 2.339E-14 N
 * -e) 2.573E-14 N

113) A charged particle in a magnetic field of 4.090E-04 T is moving perpendicular to the magnetic field with a speed of 5.980E+05 m/s. What is the period of orbit if orbital radius is 0.633 m?


 * -a) 4.543E-06 s
 * -b) 4.997E-06 s
 * -c) 5.497E-06 s
 * -d) 6.046E-06 s
 * +e) 6.651E-06 s

114) An alpha-particle (m=6.64x10&minus;27kg, q=3.2x10&minus;19C) briefly enters a uniform magnetic field of magnitude 0.0263 T . It emerges after being deflected by 65&deg; from its original direction. How much time did it spend in that magnetic field?


 * -a) 8.137E-07 s
 * +b) 8.951E-07 s
 * -c) 9.846E-07 s
 * -d) 1.083E-06 s
 * -e) 1.191E-06 s

115) A 42 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.48 T. What current is required to maintain this balance?


 * -a) 2.812E-01 A
 * -b) 3.093E-01 A
 * +c) 3.403E-01 A
 * -d) 3.743E-01 A
 * -e) 4.117E-01 A

116) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.379 T magnetic field is directed 53&deg; away from the wire?


 * -a) 1.001E+00 N/m
 * -b) 1.101E+00 N/m
 * +c) 1.211E+00 N/m
 * -d) 1.332E+00 N/m
 * -e) 1.465E+00 N/m

117) A circular current loop of radius 1.94 cm carries a current of 1.83 mA. What is the magnitude of the torque if the dipole is oriented at 43 &deg; to a uniform magnetic fied of 0.156 T?


 * -a) 1.903E-07 N m
 * -b) 2.093E-07 N m
 * +c) 2.302E-07 N m
 * -d) 2.532E-07 N m
 * -e) 2.785E-07 N m

118) An electron beam (m=9.1 x 10&minus;31kg, q=1.6 x 10&minus;19C) enters a crossed-field velocity selector with magnetic and electric fields of 1.85 mT and 5.080E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?


 * +a) 2.746E+06 m/s
 * -b) 3.021E+06 m/s
 * -c) 3.323E+06 m/s
 * -d) 3.655E+06 m/s
 * -e) 4.020E+06 m/s

119) The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T.  Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.


 * -a) 1.560E-06 V
 * +b) 1.716E-06 V
 * -c) 1.888E-06 V
 * -d) 2.077E-06 V
 * -e) 2.284E-06 V

120) A cyclotron used to accelerate alpha particlesm=6.64 x 10&minus;27kg, q=3.2 x 10&minus;19C) has a radius of 0.448 m and a magneticfield of 0.812 T. What is their maximum kinetic energy?


 * -a) 5.798E+00 MeV
 * +b) 6.377E+00 MeV
 * -c) 7.015E+00 MeV
 * -d) 7.717E+00 MeV
 * -e) 8.488E+00 MeV

121) A wire carries a current of 106 A in a circular arc with radius 1.32 cm swept through 38 degrees. Assuming that the rest of the current is 100% shielded by  mu-metal, what is the magnetic field at the center of the arc?


 * -a) 1.589E+00 Tesla
 * +b) 1.748E+00 Tesla
 * -c) 1.923E+00 Tesla
 * -d) 2.116E+00 Tesla
 * -e) 2.327E+00 Tesla

122) Three wires sit at the corners of a square of length 0.774 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.57 A, 2.03 A, 2.08 A), respectively. What is the x-component of the magnetic field at point P?


 * -a) Bx= 7.270E-05 T
 * +b) Bx= 7.997E-05 T
 * -c) Bx= 8.797E-05 T
 * -d) Bx= 9.677E-05 T
 * -e) Bx= 1.064E-04 T

123) Three wires sit at the corners of a square of length 0.495 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (2.45 A, 1.66 A, 1.63 A), respectively. What is the y-component of the magnetic field at point P?


 * -a) By= 1.205E-04 T
 * +b) By= 1.325E-04 T
 * -c) By= 1.458E-04 T
 * -d) By= 1.604E-04 T
 * -e) By= 1.764E-04 T

124) Two parallel wires each carry a 7.48 mA current and are oriented in the z direction. The first wire is located in the x-y   plane at (3.13 cm, 0.955 cm), while the other is located at (5.37 cm, 5.48 cm). What is the force per unit length between the wires?


 * -a) 2.015E-10 N/m
 * +b) 2.216E-10 N/m
 * -c) 2.438E-10 N/m
 * -d) 2.682E-10 N/m
 * -e) 2.950E-10 N/m

125) Two loops of wire carry the same current of 66 kA, and flow in the same direction. They share a common axis and orientation.  One loop has a radius of 0.485 m while the other has a radius of 1.27 m.  What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.507 m from the first (smaller) loopif the disance between the loops is 1.76 m?


 * -a) 2.733E-02 T
 * -b) 3.007E-02 T
 * -c) 3.307E-02 T
 * -d) 3.638E-02 T
 * +e) 4.002E-02 T

126) Under most conditions the current is distributed uniformly over the cross section of the wire.  What is the magnetic field 1.14 mm from the center of a wire of radius 3 mm if the current is 1A?


 * +a) 2.533E-05 T
 * -b) 2.787E-05 T
 * -c) 3.065E-05 T
 * -d) 3.372E-05 T
 * -e) 3.709E-05 T

127) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for $$r<a$$ is, $$B_\theta (r)=\left( \frac{2r}{a} - \frac{r^2}{a^2}\right)B_{max}$$, where $$B_{max}$$ is the maximum magnetic field (at $$r=a$$).  If $$a=$$ 0.645 m and $$B_{max}=\,$$ 0.469 T, then how much current (in the z-direction) flows through a circle of radius $$r=$$ 0.26 m that is centered on the axis with its plane perpendicular to the axis?


 * -a) 2.949E+05 A
 * -b) 3.244E+05 A
 * -c) 3.568E+05 A
 * +d) 3.925E+05 A
 * -e) 4.317E+05 A

128) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.32 kA, I2=2.0 kA, and I3=3.66 kA, take the $$\beta$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * -a) 1.724E-03 T-m
 * -b) 1.896E-03 T-m
 * +c) 2.086E-03 T-m
 * -d) 2.295E-03 T-m
 * -e) 2.524E-03 T-m

129) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.38 kA, I2=0.839 kA, and I3=2.27 kA, take the $$\omega$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * -a) 4.354E-03 T-m
 * +b) 4.789E-03 T-m
 * -c) 5.268E-03 T-m
 * -d) 5.795E-03 T-m
 * -e) 6.374E-03 T-m

130) A solenoid has 9.350E+04 turns wound around a cylinder of diameter 1.85 cm and length 18 m. The current through the coils is 0.872 A.  Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $$\int\vec B\cdot\vec\ell$$ alongthe axis from z=&minus;4.55 cm to z=+1.58 cm


 * -a) 2.383E-04 T-m
 * -b) 2.621E-04 T-m
 * -c) 2.884E-04 T-m
 * -d) 3.172E-04 T-m
 * +e) 3.489E-04 T-m

131) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 18 turns per centimeter and the current applied to the solenoid is 582 mA, the net magnetic field is measured to be 1.15 T. What is the magnetic susceptibility for this case?


 * -a) $$\chi \text{ (chi) }=$$ 7.211E+02
 * -b) $$\chi \text{ (chi) }=$$ 7.932E+02
 * +c) $$\chi \text{ (chi) }=$$ 8.726E+02
 * -d) $$\chi \text{ (chi) }=$$ 9.598E+02
 * -e) $$\chi \text{ (chi) }=$$ 1.056E+03

132) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 &mu;T. The kinetic energy is 437 keV.  What is the radius of particle's orbit?


 * -a) 1.3 x 102 m.
 * -b) 4.1 x 102 m.
 * -c) 1.3 x 103 m.
 * -d) 4.1 x 103 m.
 * +e) 1.3 x 104 m.

133) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?


 * -a) 2.36 x 10-3 newtons
 * -b) 7.47 x 10-3 newtons
 * -c) 2.36 x 10-2 newtons
 * +d) 7.47 x 10-2 newtons
 * -e) 2.36 x 10-1 newtons

134) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm.  What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?


 * -a) 5.14 x 10-5 Volts
 * +b) 1.62 x 10-4 Volts
 * -c) 5.14 x 10-4 Volts
 * -d) 1.62 x 10-3 Volts
 * -e) 5.14 x 10-3 Volts

135) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal.  To counter the magnetic force, a voltage is applied between two large parallel plates that are 59  mm apart.  What must be the applied voltage if the magnetic field is 45&mu;T?


 * -a) 1.1 x 100 volts
 * -b) 3.6 x 100 volts
 * -c) 1.1 x 101 volts
 * +d) 3.6 x 101 volts
 * -e) 1.1 x 102 volts

136) Amphere's law for magnetostatic currents is that $$\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$$ equals the current enclosed by the closed loop, and $$B=\mu_0H$$ is the magnetic field. A current of 5.8A flows upward along the z axis. Noting that for this geometry, $$\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$$, calculate the line integral $$\oint d\ell$$ for a circle of radius 6.1m.


 * +a) 3.83E+01 m
 * -b) 4.20E+01 m
 * -c) 4.61E+01 m
 * -d) 5.05E+01 m
 * -e) 5.54E+01 m

137) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H$$ at a distance of 4.2m from a wire carrying a current of 7.9A?


 * -a) 2.73E-01 A/m
 * +b) 2.99E-01 A/m
 * -c) 3.28E-01 A/m
 * -d) 3.60E-01 A/m
 * -e) 3.95E-01 A/m

138) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H_y$$ at the point (9.3623,2.8961) if a current of 6.9A flows through a wire that runs along the z axis?


 * -a) 8.90E-02 A/m
 * -b) 9.76E-02 A/m
 * +c) 1.07E-01 A/m
 * -d) 1.17E-01 A/m
 * -e) 1.29E-01 A/m

139) A very long and thin solenoid has 2647 turns and is 180 meters long. The wire carrys a current of 9.3A. What is the magnetic field in the center?


 * +a) 1.72E-04 Tesla
 * -b) 1.88E-04 Tesla
 * -c) 2.07E-04 Tesla
 * -d) 2.27E-04 Tesla
 * -e) 2.48E-04 Tesla

140) A very long and thin solenoid has 2763 turns and is 134 meters long. The wire carrys a current of 7.7A. If this solenoid is sufficiently thin, what is the line integral of$$\int \vec H\cdot\vec{d\ell}$$ along an on-axis path that starts 34 meters from the center and stops 86 meters from the center?


 * -a) 3.97E+03 A
 * -b) 4.36E+03 A
 * -c) 4.78E+03 A
 * +d) 5.24E+03 A
 * -e) 5.74E+03 A

141) What is the sum of 0.8 apples plus 18 apples?


 * -a) 1.56E+01 apples
 * -b) 1.71E+01 apples
 * +c) 1.88E+01 apples
 * -d) 2.06E+01 apples
 * -e) 2.26E+01 apples

142) H is defined by, B=&mu;0H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,4.1) to the point (4.1,0).


 * -a) 1.28E+01 amps
 * -b) 1.40E+01 amps
 * -c) 1.54E+01 amps
 * -d) 1.69E+01 amps
 * +e) 1.85E+01 amps

143) H is defined by, B=&mu;0H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point ( - 6.4, 6.4) to the point (6.4, 6.4).


 * -a) 1.28E+01 amps
 * -b) 1.40E+01 amps
 * -c) 1.54E+01 amps
 * -d) 1.69E+01 amps
 * +e) 1.85E+01 amps

144) H is defined by, B=&mu;0H, where B is magnetic field. A current of 38A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,6.7) to the point (6.7,6.7).


 * -a) 4.33E+00 amps
 * +b) 4.75E+00 amps
 * -c) 5.21E+00 amps
 * -d) 5.71E+00 amps
 * -e) 6.26E+00 amps

145) H is defined by, B=&mu;0H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from  ( -&infin; ,9.4) to (+ &infin; ,9.4).


 * -a) 3.25E+01 amps
 * -b) 3.57E+01 amps
 * -c) 3.91E+01 amps
 * -d) 4.29E+01 amps
 * +e) 4.70E+01 amps

146) A square coil has sides that are L= 0.259 m long and is tightly wound with N=628 turns of wire. The resistance of the coil is R=6.51 &Omega;. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0372 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?


 * -a) 1.809E-01 A
 * -b) 1.989E-01 A
 * -c) 2.188E-01 A
 * +d) 2.407E-01 A
 * -e) 2.648E-01 A

147) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.549 m. The magnetic field is spatially uniform but decays in time according to $$(2.97)e^{-\alpha t}$$, where $$\alpha=$$7.0 s. What is the current in the coil if the impedance of the coil is 46.7 &Omega;?


 * -a) 2.032E-01 A
 * -b) 2.235E-01 A
 * -c) 2.458E-01 A
 * -d) 2.704E-01 A
 * +e) 2.975E-01 A

148) The current through the windings of a solenoid with n= 2.060E+03 turns per meter is changing at a rate dI/dt=12 A/s. The solenoid is 68 cm long and has a cross-sectional diameter of 2.96 cm.  A small coil consisting of N=29turns wraped in a circle of diameter 1.74 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil.  What is the emf induced in the coil?


 * -a) 1.463E-04 V
 * -b) 1.609E-04 V
 * -c) 1.770E-04 V
 * -d) 1.947E-04 V
 * +e) 2.142E-04 V

149) Calculate the motional emf induced along a 24.4 km conductor moving at an orbital speed of 7.79 km/s perpendicular to Earth's 4.790E-05 Tesla magnetic field.


 * -a) 6.840E+03 V
 * -b) 7.524E+03 V
 * -c) 8.277E+03 V
 * +d) 9.105E+03 V
 * -e) 1.002E+04 V

150) A cylinder of height 1.69 cm and radius 4.56 cm is cut into a wedge as shown. Now imagine that the volume grows as &theta; increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 2.33 cm from point O and moves at a speed of 4.9 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.) --(Answer & Why this question is different.)


 * -a) 3.054E+01 cm3/s
 * -b) 3.359E+01 cm3/s
 * +c) 3.695E+01 cm3/s
 * -d) 4.065E+01 cm3/s
 * -e) 4.471E+01 cm3/s

151) A recangular coil with an area of 0.446 m2 and 13 turns is placed in a uniform magnetic field of 3.17 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 5.060E+03 s&minus;1.  What is the magnitude (absolute value) of the induced emf at t = 54 s?


 * +a) 1.957E+03 V
 * -b) 2.153E+03 V
 * -c) 2.368E+03 V
 * -d) 2.605E+03 V
 * -e) 2.865E+03 V

152) A spatially uniform magnetic points in the z-direction and oscilates with time as $$\vec B(t) = B_0\sin\omega t $$ where $$B_0=$$3.11 T and $$\omega=$$1.150E+03 s&minus;1. Suppose the electric field is always zero at point $$\mathcal O$$, and consider a circle of radius 0.171 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral $$\oint \vec B\cdot d\vec s$$ around the circle.


 * -a) 2.887E+03 V
 * -b) 3.176E+03 V
 * -c) 3.493E+03 V
 * +d) 3.843E+03 V
 * -e) 4.227E+03 V

153) A long solenoid has a radius of 0.806 m and 41 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$2 A and $$\alpha=$$21 s&minus;1.What is the induced electric fied at a distance 2.67 m from the axis at time t=0.0701 s ?


 * +a) 6.040E-05 V/m
 * -b) 6.644E-05 V/m
 * -c) 7.309E-05 V/m
 * -d) 8.039E-05 V/m
 * -e) 8.843E-05 V/m

154) A long solenoid has a radius of 0.447 m and 85 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$7 A and $$\alpha=$$23 s&minus;1.What is the induced electric fied at a distance 0.212 m from the axis at time t=0.0819 s ?


 * -a) 1.893E-04 V/m
 * -b) 2.082E-04 V/m
 * -c) 2.290E-04 V/m
 * -d) 2.519E-04 V/m
 * +e) 2.771E-04 V/m

155) A long solenoid has a length 0.841 meters, radius 3.81 cm, and 516 turns. It surrounds  coil of radius 9.2 meters and 11turns.  If the current in the solenoid is changing at a rate of 190 A/s, what is the emf induced in the surounding coil?


 * -a) 1.735E-02 V
 * -b) 1.908E-02 V
 * -c) 2.099E-02 V
 * +d) 2.309E-02 V
 * -e) 2.540E-02 V

156) An induced emf of 1.7V is measured across a coil of 81 closely wound turns while the current throuth it increases uniformly from 0.0 to 7.07A in 0.174s. What is the self-inductance of the coil?


 * -a) 3.458E-02 H
 * -b) 3.804E-02 H
 * +c) 4.184E-02 H
 * -d) 4.602E-02 H
 * -e) 5.062E-02 H

157) A washer has an inner diameter of 2.42 cm and an outer diamter of 4.53 cm. The thickness is $$h=Cr^{-n}$$ where $$r$$ is measured in cm, $$C=4.47mm$$, and $$n=2.8$$. What is the volume of the washer?


 * -a) 8.932E-01 cm3
 * -b) 9.825E-01 cm3
 * -c) 1.081E+00 cm3
 * +d) 1.189E+00 cm3
 * -e) 1.308E+00 cm3

158) Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =6.88 s if &epsilon; = 2.58 V, R = 5.69 &Omega;, and L = 6.94 H?


 * +a) 4.518E-01 V
 * -b) 5.422E-01 V
 * -c) 6.506E-01 V
 * -d) 7.807E-01 V
 * -e) 9.369E-01 V

159) Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is  opened as as S2 is closed.  How long will it take for the energy stored in the inductor to be reduced to 1.53% of its maximum value if &epsilon; = 6.08 V, R = 1.88 &Omega;, and L = 4.67 H?


 * +a) -5.192E+00 s
 * -b) -5.711E+00 s
 * -c) -6.282E+00 s
 * -d) -6.910E+00 s
 * -e) -7.601E+00 s

160) In an LC circuit, the self-inductance is 0.0815 H and the capacitance is 6.520E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 8.410E-05 C. How long does it take for the capacitor to become completely discharged?


 * -a) 7.821E-04 s
 * -b) 8.603E-04 s
 * -c) 9.463E-04 s
 * -d) 1.041E-03 s
 * +e) 1.145E-03 s

161) An ac generator produces an emf of amplitude 46 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a  63 mF inductor?


 * -a) 4.961E-01 A
 * -b) 5.457E-01 A
 * -c) 6.002E-01 A
 * -d) 6.603E-01 A
 * +e) 7.263E-01 A

162) An ac generator produces an emf of amplitude 8 V at a frequency of 85 Hz. What is the maximum amplitude of the current if the generator is connected to a  16 mF capacitor?


 * -a) 4.669E-02 A
 * -b) 5.136E-02 A
 * -c) 5.650E-02 A
 * -d) 6.215E-02 A
 * +e) 6.836E-02 A

163) The output of an ac generator connected to an RLC series combination has a frequency of 370 Hz and an amplitude of 0.14 V;. If R =3 &Omega;, L= 5.30E-03H, and C=5.50E-04 F, what is the impedance?


 * -a) 8.958E+00 &Omega;
 * -b) 9.854E+00 &Omega;
 * -c) 1.084E+01 &Omega;
 * +d) 1.192E+01 &Omega;
 * -e) 1.312E+01 &Omega;

164) The output of an ac generator connected to an RLC series combination has a frequency of 890 Hz and an amplitude of 0.58 V;. If R =9 &Omega;, L= 2.90E-03H, and C=8.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?


 * -a) 7.952E-01 &rad;
 * -b) 8.747E-01 &rad;
 * -c) 9.622E-01 &rad;
 * +d) 1.058E+00 &rad;
 * -e) 1.164E+00 &rad;

165) The output of an ac generator connected to an RLC series combination has a frequency of 2.30E+04 Hz and an amplitude of 7 V. If R =3 &Omega;, L= 4.10E-03H, and C=8.70E-06 F, what is the rms power transferred to the resistor?


 * -a) 8.369E-03 Watts
 * +b) 9.206E-03 Watts
 * -c) 1.013E-02 Watts
 * -d) 1.114E-02 Watts
 * -e) 1.225E-02 Watts

166) An RLC series combination is driven with an applied voltage of of V=V0sin(&omega;t), where V0=0.83 V. The resistance, inductance, and capacitance are R =9 &Omega;, L= 8.50E-03H, and C=7.20E-04 F, respectively. What is the amplitude of the current?


 * -a) 8.384E-02 A
 * +b) 9.222E-02 A
 * -c) 1.014E-01 A
 * -d) 1.116E-01 A
 * -e) 1.227E-01 A

167) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC and only twoimpedances are involved,  Q=&equiv;&omega;0L/R is definedso that Q is large if the resistance is low.  Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V0sin(&omega;t), where V0=3 V. The resistance, inductance, and capacitance are R =0.22 &Omega;, L= 5.10E-03H, and C=2.50E-06 F, respectively.


 * +a) Q = 2.053E+02
 * -b) Q = 2.361E+02
 * -c) Q = 2.715E+02
 * -d) Q = 3.122E+02
 * -e) Q = 3.591E+02

168) A step-down transformer steps 7 kV down to 190 V. The high-voltage input is provided by a 240 &Omega; power line that carries 5 A of currentWhat is the output current (at the 190 V side ?)


 * -a) 1.675E+02 A
 * +b) 1.842E+02 A
 * -c) 2.026E+02 A
 * -d) 2.229E+02 A
 * -e) 2.452E+02 A

169) Two orbiting satellites are orbiting at a speed of 66 km/s perpendicular to a magnetic field of 64 &mu;T. They are connected by a cable that is 37 km long.  A voltmeter is attached between a satellite and one end of the cable.  The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit.  What is the measured voltage?


 * -a) 1.29 x 105 volts.
 * +b) 1.56 x 105 volts.
 * -c) 1.89 x 105 volts.
 * -d) 2.29 x 105 volts.
 * -e) 2.78 x 105 volts.

170) An loop of wire with 43 turns has a radius of 0.27 meters, and is oriented with its axis parallel to a magetic field of 0.68 Tesla. What is the induced voltage if this field is reduced to  36% of its original value in 3.8 seconds?


 * -a) 6.34 x 10-1 volts
 * -b) 7.68 x 10-1 volts
 * -c) 9.31 x 10-1 volts
 * +d) 1.13 x 100 volts
 * -e) 1.37 x 100 volts

171) A 819 mF capacitor is connected in series to a 798 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 8.27 x 105 s.
 * +b) 2.61 x 106 s.
 * -c) 8.27 x 106 s.
 * -d) 2.61 x 107 s.
 * -e) 8.27 x 107 s.

172) A 65 &mu;F capacitor is connected in series to a 414 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 1.08 x 101 s.
 * -b) 3.4 x 101 s.
 * +c) 1.08 x 102 s.
 * -d) 3.4 x 102 s.
 * -e) 1.08 x 103 s.

173) A 727 mF capacitor is connected in series to a 860 M&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)


 * +a) 1.88 x 109 s.
 * -b) 5.93 x 109 s.
 * -c) 1.88 x 1010 s.
 * -d) 5.93 x 1010 s.
 * -e) 1.88 x 1011 s.

174) A 10 F capacitor is connected in series to a 10&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 4 x 100 s.
 * -b) 1.26 x 101 s.
 * -c) 4 x 101 s.
 * -d) 1.26 x 102 s.
 * +e) 4 x 102 s.

175) A parallel plate capacitor with a capicatnce C=9.10E-06 F whose plates have an area A=8.50E+03 m2 and separation d=8.30E-03 m is connected via a swith to a 67 &Omega; resistor and a battery of voltage V0=8 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.40E-03?


 * -a) 5.946E+00 V
 * -b) 6.541E+00 V
 * +c) 7.195E+00 V
 * -d) 7.914E+00 V
 * -e) 8.706E+00 V

176) A parallel plate capacitor with a capicatnce C=7.90E-06 F whose plates have an area A=6.10E+03 m2 and separation d=6.80E-03 m is connected via a swith to a 22 &Omega; resistor and a battery of voltage V0=6 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=5.20E-04?


 * -a) 7.619E+02 V/m
 * +b) 8.381E+02 V/m
 * -c) 9.219E+02 V/m
 * -d) 1.014E+03 V/m
 * -e) 1.115E+03 V/m

177) A parallel plate capacitor with a capicatnce C=6.80E-06 F whose plates have an area A=6.60E+03 m2 and separation d=8.60E-03 m is connected via a swith to a 62 &Omega; resistor and a battery of voltage V0=36 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.60E-04?


 * -a) 8.288E-02 A
 * -b) 9.117E-02 A
 * -c) 1.003E-01 A
 * -d) 1.103E-01 A
 * +e) 1.213E-01 A

178) A 46 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 78 kW?


 * +a) 1.563E+02 km
 * -b) 1.719E+02 km
 * -c) 1.891E+02 km
 * -d) 2.080E+02 km
 * -e) 2.288E+02 km

179) What is the radiation pressure on an object that is 1.20E+11 m away from the sun and has cross-sectional area of 0.082 m2? The average power output of the Sun is 3.80E+26 W.


 * -a) 9.568E-06 N/m2
 * -b) 1.053E-05 N/m2
 * -c) 1.158E-05 N/m2
 * -d) 1.274E-05 N/m2
 * +e) 1.401E-05 N/m2

180) What is the radiation force on an object that is 2.00E+11 m away from the sun and has cross-sectional area of 0.053 m2? The average power output of the Sun is 3.80E+26 W.


 * +a) 2.673E-07 N
 * -b) 2.940E-07 N
 * -c) 3.234E-07 N
 * -d) 3.558E-07 N
 * -e) 3.913E-07 N

181) A circlular capactitor of radius 3.9 m has a gap of 19 mm, and a charge of 66 &mu;C.  What is the electric field between the plates?


 * -a) 1.29E+05 N/C (or V/m)
 * +b) 1.56E+05 N/C (or V/m)
 * -c) 1.89E+05 N/C (or V/m)
 * -d) 2.29E+05 N/C (or V/m)
 * -e) 2.77E+05 N/C (or V/m)

182) A circlular capactitor of radius 4.3 m has a gap of 12 mm, and a charge of 85 &mu;C.  Compute the surface integral  $$c^{-2}\oint\vec E\cdot d\vec A$$ over an inner face of the capacitor.


 * -a) 7.28E-11 Vs2m-1
 * -b) 8.82E-11 Vs2m-1
 * +c) 1.07E-10 Vs2m-1
 * -d) 1.29E-10 Vs2m-1
 * -e) 1.57E-10 Vs2m-1

183) A circlular capactitor of radius 4.3 m has a gap of 13 mm, and a charge of 44 &mu;C.  The capacitor is discharged through a  9 k&Omega; resistor.  What is the decay time?


 * -a) 2.00E-04 s
 * -b) 2.43E-04 s
 * -c) 2.94E-04 s
 * +d) 3.56E-04 s
 * -e) 4.31E-04 s

184) A circlular capactitor of radius 4.6 m has a gap of 12 mm, and a charge of 52 &mu;C.  The capacitor is discharged through a  7 k&Omega; resistor.  What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)


 * -a) 3.30E-09 Tesla
 * -b) 4.15E-09 Tesla
 * -c) 5.23E-09 Tesla
 * +d) 6.58E-09 Tesla
 * -e) 8.29E-09 Tesla

185) Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * +a) how a nearsighted person might see a distant object
 * -b) how a farsighted person might see an object that is too close for comfort
 * -c) how a farsighted person might see a distant object
 * -d) how a nearsighted person might see an object that is too close for comfort

186)  Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * -a) how a nearsighted person might see a distant object
 * -b) how a nearsighted person might see an object that is too close for comfort
 * -c) how a farsighted person might see a distant object
 * +d) how a farsighted person might see an object that is too close for comfort

187) In optics, normal means
 * -a) parallel to the surface
 * -b) to the right of the optical axis
 * -c) to the left of the optical axis
 * +d) perpendicular to the surface

188) The law of reflection applies to
 * -a) flat surfaces
 * -b) telescopes but not microscopes
 * -c) only light in a vacuum
 * -d) curved surfaces
 * +e) both flat and curved surfaces

189) When light passes from air to glass
 * -a) it bends away from the normal
 * -b) the frequency increases
 * -c) it does not bend
 * +d) it bends towards the normal
 * -e) the frequency decreases

190) When light passes from glass to air
 * -a) the frequency decreases
 * -b) it does not bend
 * +c) it bends away from the normal
 * -d) the frequency increases
 * -e) it bends towards the normal

191) An important principle that allows fiber optics to work is
 * -a) total external refraction
 * -b) the invariance of the speed of light
 * -c) the Doppler shift
 * -d) partial internal absorption
 * +e) total internal reflection

192) The focal point is where
 * -a) rays meet whenever they pass through a lens
 * +b) rays meet if they were parallel to the optical axis before striking a lens
 * -c) the center of the lens
 * -d) rays meet if they are parallel to each other
 * -e) rays meet whenever they are forming an image

193) An object is placed 8.6 cm to the left of a diverging lens with a focal length of 9.1 cm. How far is the image from the lens?


 * -a) 2.49 x 100 cm
 * +b) 4.42 x 100 cm
 * -c) 7.86 x 100 cm
 * -d) 1.4 x 101 cm
 * -e) 2.49 x 101 cm

194) An object is placed 6.55 cm to the left of a converging lens with a focal length of 5.4 cm. How far is the image from the lens?


 * -a) 3.08 x 100 cm
 * -b) 5.47 x 100 cm
 * -c) 9.73 x 100 cm
 * -d) 1.73 x 101 cm
 * +e) 3.08 x 101 cm

195) An object of height 0.67 cm is placed 107 cm behind a diverging lens with a focal length of 70 cm. What is the height of the image?


 * +a) 2.65 x 10-1 cm
 * -b) 3.18 x 10-1 cm
 * -c) 3.82 x 10-1 cm
 * -d) 4.58 x 10-1 cm
 * -e) 5.49 x 10-1 cm

196) An object is placed 13.7 cm to the left of a diverging lens with a focal length of 17.7 cm. On the side, at a distance of 5.5 cm from the diverging lens is a converging lens with focal length equal to 4 cm.  How far is the final image from the converging lens?


 * -a) 5.73 x 10-2 cm
 * -b) 1.81 x 10-1 cm
 * -c) 5.73 x 10-1 cm
 * -d) 1.81 x 100 cm
 * +e) 5.73 x 100 cm

197) Which lens has the shorter focal length?
 * +a) Ray_drawing_eye_schematic.svg
 * -b) Ray drawing eye schematic01.svg
 * -c) They have the same focal lengh.

198) If this represents the eye looking at an object, where is this object?
 * +a) Two (of the other answers) are true
 * -b) very far away
 * -c) One focal length in front of the eye
 * -d) directly in front of the eye (almost touching)
 * -e) at infinity

199) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.
 * -a) true
 * +b) false

200) Mr. Smith is gazing at something as shown in the figure to the left.  Suppose he does not refocus, but attempts to stare at the star shown in the figures below.  Which diagram depicts how the rays from the star would travel if he does not refocus?
 * -a) Ray drawing eye Wrong Answer.svg
 * -b) Ray_drawing_eye_schematic_alternate.svg
 * +c) Ray drawing eye schematic02.svg

201) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * -a) lose 1 point
 * -b) win 3 points
 * +c) lose 3 points
 * -d) win 1 point
 * -e) be disqualified for cheating

202) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * +a) win 1 point
 * -b) lose 3 points
 * -c) be disqualified for cheating
 * -d) win 3 points
 * -e) lose 1 point

203) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * -a) K&spades; and K&clubs;
 * +b) two of these are true
 * -c) K and K&spades;
 * -d) K and K&clubs;
 * -e) none of these are true

204) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following loses?
 * -a) K&spades; and K&clubs;
 * +b) K and K&clubs;
 * -c) none of these are true
 * -d) K and K&spades;
 * -e) two of these are true

205) If you play the solitaire game 6 times, you will on average win ___ times.
 * -a) 6
 * -b) 3
 * -c) 2
 * -d) 5
 * +e) 4

206) If you play the solitaire game 3 times, you will on average lose ___ times.
 * -a) 4
 * -b) 2
 * -c) 3
 * +d) 1
 * -e) 5

207) If you play the solitaire game 6 times, you will on average lose ___ times.
 * -a) 6
 * -b) 5
 * -c) 4
 * +d) 2
 * -e) 3

208) If you play the solitaire game 3 times, you will on average win ___ times.
 * -a) 5
 * +b) 2
 * -c) 1
 * -d) 4
 * -e) 3

209) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * -a) all of these are possible
 * -b) parallel
 * +c) perpendicular
 * -d) at 45 degrees

210) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * -a) linear or elliptical
 * -b) circular or linear
 * -c) linearly
 * -d) circular
 * +e) circular or elliptical

211) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * +a) electromagnetic or pendulum
 * -b) both can be created
 * -c) electromagnetic
 * -d) pendulum

212) To create an unpolarized pendulum oscillation
 * -a) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * +b) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
 * -c) create an elliptically polarized wave with an &epsilon;<0.8
 * -d) create an elliptically polarized wave with an &epsilon;>0.2

213) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$\sqrt 2$$ what is the length of each side?
 * -a) $$\tfrac 1 2$$
 * +b) $$\sqrt 2$$
 * -c) $$1$$
 * -d) $$2\sqrt 2$$
 * -e) $$\tfrac 1 \sqrt 2$$

214) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * -a) $$\tfrac 1 2$$
 * +b) $$\tfrac 1 \sqrt 2$$
 * -c) $$1$$
 * -d) $$\sqrt 2$$
 * -e) $$2\sqrt 2$$

215) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * -a) $$ \tfrac 1 4$$
 * -b) $$\tfrac 3 4$$
 * +c) $$\tfrac 1 2$$
 * -d) $$\tfrac \sqrt 3 2$$
 * -e) $$\tfrac 1 \sqrt 2$$

216) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * -a) $$\tfrac 1 2$$
 * +b) $$\tfrac \sqrt 3 2$$
 * -c) $$\tfrac 1 \sqrt 2$$
 * -d) $$ \tfrac 1 4$$
 * -e) $$\tfrac 3 4$$

217) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * -a) $$\tfrac 1 4$$
 * -b) $$\tfrac 1 2$$
 * -c) $$\tfrac 1 \sqrt 2$$
 * -d) $$\tfrac 3 4$$
 * +e) $$\tfrac \sqrt 3 2$$

218) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 60&deg; to that field?
 * -a) $$\tfrac 1 \sqrt 2$$
 * -b) $$\tfrac 1 4$$
 * -c) $$\tfrac \sqrt 3 2$$
 * -d) $$\tfrac 3 4$$
 * +e) $$\tfrac 1 2$$

219) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * -a) 8mW
 * -b) 6mW
 * -c) 4mW
 * -d) 3mW
 * +e) 9mW

220) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * -a) 8mW
 * -b) 6mW
 * +c) 3mW
 * -d) 4mW
 * -e) 9mW

221) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * -a) 8mW
 * -b) 4mW
 * -c) 6mW
 * +d) 9mW
 * -e) 3mW

222) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * +a) 3mW
 * -b) 9mW
 * -c) 4mW
 * -d) 8mW
 * -e) 6mW

223) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * -a) 9mW
 * +b) 6mW
 * -c) 4mW
 * -d) 3mW
 * -e) 8mW

224) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 1/32
 * +b) 1/8
 * -c) 1/16
 * -d) 3/16
 * -e) 3/32

225) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * -a) linear or elliptical
 * -b) circular or elliptical
 * -c) circular
 * -d) circular or linear
 * +e) linearly

226) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 1/16
 * -b) 3/16
 * +c) 3/32
 * -d) 1/8
 * -e) 1/32

227) If the wavelength &lambda; associated with a photon is cut in half, the photon's energy E
 * -a) becomes 4 times as big
 * -b) is reduced by a factor of 4
 * +c) becomes twice as big
 * -d) is cut in half
 * -e) stays the same

228) If the wavelength &lambda; associated with a photon doubles, the photon's frequency f
 * -a) is reduced by a factor of 4
 * -b) stays the same
 * -c) becomes 4 times as big
 * -d) becomes twice as big
 * +e) is cut in half

229) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * +a) is reduced by a factor of 4
 * -b) becomes 4 times as big
 * -c) is cut in half
 * -d) becomes twice as big
 * -e) stays the same

230) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * -a) stays the same
 * -b) is reduced by a factor of 4
 * +c) becomes 4 times as big
 * -d) is cut in half
 * -e) becomes twice as big

231) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy
 * -a) increases by 4 eV
 * -b) decreases by 2 eV
 * -c) increases by 2 eV
 * +d) decreases by 4 eV
 * -e) stays the same

232) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * -a) increases by 4 eV
 * +b) increases by 2 eV
 * -c) decreases by 2 eV
 * -d) stays the same
 * -e) decreases by 4 eV

233) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * -a) zero
 * -b) equal to 3 eV
 * -c) equal to 6 eV
 * -d) greater than 3 eV
 * +e) less than 3 eV

234) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?
 * -a) deflecting the electron with a magnetic field
 * -b) measuring polarization
 * +c) stopping the electron with an applied voltage
 * -d) measuring spin
 * -e) measuring both spin and polarization

235) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * -a) increases by 4 eV
 * -b) decreases by 2 eV
 * -c) increases by 2 eV
 * -d) stays the same
 * +e) decreases by 4 eV

236) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?
 * -a) 6x1018
 * +b) 4x1018
 * -c) 8x1018
 * -d) 2x1018
 * -e) 1018

237) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * -a) They have the same energy density (since the holes are identical).
 * +b) The hotter object has a greater energy density.
 * -c) No unique answer exists because two variables are involved (temperature and volume).
 * -d) The larger object has a greater energy density.

238) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?
 * -a) They both emit the same number of photons (since the holes are identical).
 * +b) The object with the greater temperature emits more.
 * -c) No unique answer exists because two variables are involved (temperature and volume).
 * -d) The object with the greater volume.

239) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?
 * -a) They have the same energy (since the holes are identical).
 * -b) The hotter object has a greater energy.
 * -c) The larger object has a greater energy.
 * +d) No unique answer exists because two variables are involved (temperature and volume).

240) This figure is associated with
 * +a) Evidence presented in 1800 that light is a wave.
 * -b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

241) This figure is associated with
 * -a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * -c) Evidence presented in 1800 that light is a wave.
 * +d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

242) This figure is associated with
 * -a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * -b) Evidence presented in 1800 that light is a wave.
 * +c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -d) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

243) This figure is associated with
 * -a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * +b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * -c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -d) Evidence presented in 1800 that light is a wave.
 * -e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

244) A photon is polarized at 5&deg; when it encounters a filter oriented at 35&deg;. What is the probability that it passes?
 * -a) 1
 * -b) 0
 * -c) 1/2
 * -d) 1/4
 * +e) 3/4

245) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * -a) 3/4
 * -b) 0
 * -c) 1
 * +d) 1/2
 * -e) 1/4

246) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * -a) 0
 * -b) 1/2
 * +c) 1/4
 * -d) 1
 * -e) 3/4

247) A photon is polarized at 10&deg; when it encounters a filter oriented at 40&deg;. What is the probability that it is blocked?
 * -a) 1/2
 * -b) 0
 * +c) 3/4
 * -d) 1/4
 * -e) 1

248) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * -a) 0
 * -b) 3/4
 * +c) 1/2
 * -d) 1
 * -e) 1/4

249) A photon is polarized at 5&deg; when it encounters a filter oriented at 65&deg;. What is the probability that it is blocked?
 * -a) 0
 * -b) 3/4
 * +c) 1/4
 * -d) 1/2
 * -e) 1

250) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it passes?
 * -a) 1
 * +b) 0
 * -c) 1/4
 * -d) 1/2
 * -e) 3/4

251) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * +a) 1
 * -b) 3/4
 * -c) 0
 * -d) 1/2
 * -e) 1/4

252) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 2/4=1/2
 * -b) 2/5
 * +c) 3/5
 * -d) 5/6
 * -e) 3/4

253) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 3/5
 * +b) 2/5
 * -c) 2/4=1/2
 * -d) 5/6
 * -e) 3/4

254) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * -a) 5/4
 * -b) 4/5
 * -c) 5/6
 * -d) 6/5
 * +e) 7/5

255) Calculate the quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * -a) &minus;1/5
 * -b) +1
 * -c) 0
 * -d) +2/5
 * -e) &minus;2/5
 * +f) +1/5

256) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * -a) &minus;2/5
 * -b) 0
 * -c) +1
 * -d) +2/5
 * -e) +1/5
 * +f) &minus;1/5

257) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
 * -a) 3/4
 * -b) 1/4
 * -c) 1
 * -d) 0
 * +e) 1/2
 * -f) 5/4

258) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
 * +a) 3/4
 * -b) 1
 * -c) 5/4
 * -d) 1/2
 * -e) 1/4
 * -f) 0

259) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * +a) 5/4
 * -b) 3/4
 * -c) 1/2
 * -d) 0
 * -e) 1/4
 * -f) 1

260) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * -a) 3/4
 * +b) 1/4
 * -c) 5/4
 * -d) 0
 * -e) 1/2
 * -f) 1

261) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
 * +a) 1
 * -b) 5/4
 * -c) 3/4
 * -d) 1/4
 * -e) 1/2
 * -f) 0

Key: A1
1) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.222 T magnetic field is directed 23&deg; away from the wire?


 * +a) 5.205E-01 N/m
 * -b) 5.725E-01 N/m
 * -c) 6.297E-01 N/m
 * -d) 6.927E-01 N/m
 * -e) 7.620E-01 N/m

2) Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =13.6 s if &epsilon; = 6.56 V, R = 2.44 &Omega;, and L = 8.76 H?


 * +a) 2.627E+00 V
 * -b) 3.153E+00 V
 * -c) 3.783E+00 V
 * -d) 4.540E+00 V
 * -e) 5.448E+00 V

3) The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T.  Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.


 * -a) 1.560E-06 V
 * +b) 1.716E-06 V
 * -c) 1.888E-06 V
 * -d) 2.077E-06 V
 * -e) 2.284E-06 V

4) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * -a) 1/2
 * -b) 3/4
 * -c) 0
 * +d) 1/4
 * -e) 1

5) The focal point is where
 * -a) the center of the lens
 * +b) rays meet if they were parallel to the optical axis before striking a lens
 * -c) rays meet if they are parallel to each other
 * -d) rays meet whenever they pass through a lens
 * -e) rays meet whenever they are forming an image

6) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * -a) 5/4
 * -b) 3/4
 * -c) 0
 * -d) 1
 * -e) 1/2
 * +f) 1/4

7) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * -a) none of these are correct
 * +b) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * -c) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * -d) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * -e) $$ r^2\varepsilon_0 E=R^3\rho /2$$

8) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?
 * -a) measuring spin
 * -b) measuring both spin and polarization
 * -c) deflecting the electron with a magnetic field
 * +d) stopping the electron with an applied voltage
 * -e) measuring polarization

9) A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?
 * -a) I = 5A &  P = 3W.
 * -b) I = 5A &  P = 5W.
 * +c) I = 5A &  P = 25W.
 * -d) I = 5A &  P = 9W

10) Under most conditions the current is distributed uniformly over the cross section of the wire.  What is the magnetic field 1.51 mm from the center of a wire of radius 5 mm if the current is 1A?


 * -a) 1.098E-05 T
 * +b) 1.208E-05 T
 * -c) 1.329E-05 T
 * -d) 1.462E-05 T
 * -e) 1.608E-05 T

11) What is the current through R1 and R2 in the figure shown?
 * -a) $$I_1 = 10A$$ and $$I_2 = 16.67A$$.
 * -b) $$I_1 = 0.1A$$ and $$I_2 = 0.1667A$$.
 * +c) $$I_1 = 1A$$ and $$I_2 = 1.667A$$.
 * -d) $$I_1 = 1A$$ and $$I_2 = 25A$$.

12) A make-believe metal has a density of 1.180E+04 kg/m3 and an atomic mass of 121.0 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.


 * -a) 4.010E+28 e&minus;/m3
 * -b) 4.411E+28 e&minus;/m3
 * -c) 4.852E+28 e&minus;/m3
 * -d) 5.337E+28 e&minus;/m3
 * +e) 5.871E+28 e&minus;/m3

13) A DC winch moter draws 20 amps at 169 volts as it lifts a 5.120E+03 N weight at a constant speed of 0.543 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.


 * +a) 1.500E+00 &Omega;
 * -b) 1.650E+00 &Omega;
 * -c) 1.815E+00 &Omega;
 * -d) 1.996E+00 &Omega;
 * -e) 2.196E+00 &Omega;

14) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal B=$$
 * +a) 2
 * -b) 3
 * -c) &minus;3
 * -d) &minus;3
 * -e) &minus;7

15) A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed?
 * +a) 1.67 Watts
 * -b) 11.67 Joules
 * -c) 2.5 Watts
 * -d) None of these are ture.

16) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 &deg; to a uniform magnetic fied of 0.193 T?


 * -a) 6.257E-07 N m
 * -b) 6.882E-07 N m
 * -c) 7.570E-07 N m
 * +d) 8.327E-07 N m
 * -e) 9.160E-07 N m

17) $$E(z)=\int_{0}^R f(r',z)dr'$$ is an integral that calculates the magnitude of the electric field at a distance $$z$$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk.  The disk's radius is $$R=8.3\text{ m}$$ and the surface charge density is $$\sigma=5\text{ nC/m}^3$$. Evaluate $$f(r',z)$$ at $$r'=5.3\text{ m}$$.


 * +a) 1.022E+00 V/m2
 * -b) 1.125E+00 V/m2
 * -c) 1.237E+00 V/m2
 * -d) 1.361E+00 V/m2
 * -e) 1.497E+00 V/m2

18) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * -a) zero
 * -b) equal to 6 eV
 * -c) greater than 3 eV
 * +d) less than 3 eV
 * -e) equal to 3 eV

19) A given battery has a 9 V emf and an internal resistance of 0.141 &Omega;. If it is connected to a 0.663 &Omega; resistor what is the power dissipated by that load?


 * -a) 5.674E+01 W
 * -b) 6.242E+01 W
 * -c) 6.866E+01 W
 * -d) 7.553E+01 W
 * +e) 8.308E+01 W

20) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V.  If the combined external and internal resistance is 169 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?


 * -a) 2.177E+01 s
 * +b) 2.394E+01 s
 * -c) 2.634E+01 s
 * -d) 2.897E+01 s
 * -e) 3.187E+01 s

21) An ac generator produces an emf of amplitude 75 V at a frequency of 200 Hz. What is the maximum amplitude of the current if the generator is connected to a  22 mF inductor?


 * -a) 2.466E+00 A
 * +b) 2.713E+00 A
 * -c) 2.984E+00 A
 * -d) 3.283E+00 A
 * -e) 3.611E+00 A

22) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?
 * -a) They both emit the same number of photons (since the holes are identical).
 * -b) No unique answer exists because two variables are involved (temperature and volume).
 * +c) The object with the greater temperature emits more.
 * -d) The object with the greater volume.

23) Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 7.982E+01 J
 * +b) 8.780E+01 J
 * -c) 9.658E+01 J
 * -d) 1.062E+02 J
 * -e) 1.169E+02 J

24) Calculate the electric field in a 12-gauge copper wire that is 48 m long and carries a current of 63 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * +a) 3.198E-04 V/m
 * -b) 3.517E-04 V/m
 * -c) 3.869E-04 V/m
 * -d) 4.256E-04 V/m
 * -e) 4.682E-04 V/m

25) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it passes?
 * -a) 1/2
 * -b) 1/4
 * +c) 0
 * -d) 1
 * -e) 3/4

26) A very long and thin solenoid has 1518 turns and is 156 meters long. The wire carrys a current of 8.9A. What is the magnetic field in the center?


 * -a) 8.26E-05 Tesla
 * -b) 9.05E-05 Tesla
 * -c) 9.93E-05 Tesla
 * +d) 1.09E-04 Tesla
 * -e) 1.19E-04 Tesla

27) Two sources of emf &epsilon;1=18.2 V, and  &epsilon;2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 k&Omega; and  R2=2.81 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * +a) 1.299E+00 mA
 * -b) 1.429E+00 mA
 * -c) 1.572E+00 mA
 * -d) 1.729E+00 mA
 * -e) 1.902E+00 mA

28) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?
 * -a) 1018
 * -b) 2x1018
 * -c) 8x1018
 * -d) 6x1018
 * +e) 4x1018

29) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?
 * +a) $$\frac{6}{11}\Omega$$.
 * -b) $$\frac{3}{6}\Omega$$.
 * -c) $$\frac{6}{3}\Omega$$.
 * -d) $$\frac{11}{6}\Omega$$.

30) If you play the solitaire game 3 times, you will on average win ___ times.
 * -a) 5
 * -b) 1
 * -c) 3
 * -d) 4
 * +e) 2

31) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * -a) 4/5
 * +b) 7/5
 * -c) 5/6
 * -d) 6/5
 * -e) 5/4

32) If you put an infinite number of resistors in parallel, what would the total resistance be?
 * -a) None of these are true.
 * -b) It is not possible to connect that Number of Resistors in parallel.
 * -c) $$R_{total}$$ would approach 1 as The No. of Resistors In parallel Approaches Infinity
 * +d) $$R_{total}$$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.

33) What is the net capacitance if C1=4.7 &mu;F, C2=4.82 &mu;F, and C3=3.61 &mu;F in the configuration shown?


 * -a) 5.445E+00 &mu;F
 * +b) 5.990E+00 &mu;F
 * -c) 6.589E+00 &mu;F
 * -d) 7.247E+00 &mu;F
 * -e) 7.972E+00 &mu;F

34) Two sources of emf &epsilon;1=21.6 V, and  &epsilon;2=8.59 V are oriented as shownin the circuit. The resistances are R1=4.97 k&Omega; and  R2=1.69 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.2 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 6.064E+00 V
 * -b) 6.670E+00 V
 * +c) 7.337E+00 V
 * -d) 8.071E+00 V
 * -e) 8.878E+00 V

35) What is the radiation pressure on an object that is 1.20E+11 m away from the sun and has cross-sectional area of 0.082 m2? The average power output of the Sun is 3.80E+26 W.


 * -a) 9.568E-06 N/m2
 * -b) 1.053E-05 N/m2
 * -c) 1.158E-05 N/m2
 * -d) 1.274E-05 N/m2
 * +e) 1.401E-05 N/m2

36) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) s&minus;7
 * -b) 3&minus;s
 * -c) s&minus;3
 * -d) 8
 * +e) 7&minus;s

37) An electron beam (m=9.1 x 10&minus;31kg, q=1.6 x 10&minus;19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?


 * -a) 5.072E+05 m/s
 * -b) 5.579E+05 m/s
 * +c) 6.137E+05 m/s
 * -d) 6.751E+05 m/s
 * -e) 7.426E+05 m/s

38) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.24+1.11z)\rho^3\hat\rho +8.16z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{side}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the curved side surface of the cylinder.


 * -a) 9.205E+02
 * -b) 1.115E+03
 * +c) 1.351E+03
 * -d) 1.637E+03
 * -e) 1.983E+03

39) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at  (x,y) =( 1.1a, 1.2a) is &beta;kQ/a2, where &beta; equals


 * -a) 2.36 x 10-1 unit
 * -b) 2.86 x 10-1 unit
 * +c) 3.47 x 10-1 unit
 * -d) 4.2 x 10-1 unit
 * -e) 5.09 x 10-1 unit

40) The output of an ac generator connected to an RLC series combination has a frequency of 5.50E+04 Hz and an amplitude of 2 V. If R =8 &Omega;, L= 9.60E-03H, and C=8.30E-06 F, what is the rms power transferred to the resistor?


 * -a) 4.347E-05 Watts
 * -b) 4.782E-05 Watts
 * -c) 5.260E-05 Watts
 * +d) 5.786E-05 Watts
 * -e) 6.364E-05 Watts

41) Two orbiting satellites are orbiting at a speed of 83 km/s perpendicular to a magnetic field of 57 &mu;T. They are connected by a cable that is 23 km long.  A voltmeter is attached between a satellite and one end of the cable.  The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit.  What is the measured voltage?


 * -a) 8.98 x 104 volts.
 * +b) 1.09 x 105 volts.
 * -c) 1.32 x 105 volts.
 * -d) 1.6 x 105 volts.
 * -e) 1.93 x 105 volts.

42) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * -a) 6mW
 * -b) 8mW
 * -c) 9mW
 * +d) 3mW
 * -e) 4mW

43) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.2 m, z=z0=1.8 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 6.0m2. An electric field has the xyz components (0, 8.7, 8.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * -a) 4.730E+01 N&middot;m2/C
 * +b) 5.203E+01 N&middot;m2/C
 * -c) 5.723E+01 N&middot;m2/C
 * -d) 6.295E+01 N&middot;m2/C
 * -e) 6.925E+01 N&middot;m2/C

44) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * -a) $$\tfrac \sqrt 3 2$$
 * +b) $$\tfrac 1 2$$
 * -c) $$\tfrac 3 4$$
 * -d) $$\tfrac 1 \sqrt 2$$
 * -e) $$ \tfrac 1 4$$

45) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm.  What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?


 * -a) 5.14 x 10-5 Volts
 * +b) 1.62 x 10-4 Volts
 * -c) 5.14 x 10-4 Volts
 * -d) 1.62 x 10-3 Volts
 * -e) 5.14 x 10-3 Volts

46) A circlular capactitor of radius 3.1 m has a gap of 11 mm, and a charge of 76 &mu;C.  The capacitor is discharged through a  8 k&Omega; resistor.  What is the decay time?


 * +a) 1.94E-04 s
 * -b) 2.36E-04 s
 * -c) 2.85E-04 s
 * -d) 3.46E-04 s
 * -e) 4.19E-04 s

47) Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.75 &Omega; at a temperature of 24&deg;C and that the temperature coefficient of expansion is 4.300E-03 (&deg;C)&minus;1). What is the resistance at a temperature of 423 &deg;C?


 * +a) 1.018E+01 &Omega;
 * -b) 1.069E+01 &Omega;
 * -c) 1.123E+01 &Omega;
 * -d) 1.179E+01 &Omega;
 * -e) 1.238E+01 &Omega;

48) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy
 * -a) decreases by 2 eV
 * -b) increases by 2 eV
 * -c) stays the same
 * -d) increases by 4 eV
 * +e) decreases by 4 eV

49) If the wavelength &lambda; associated with a photon doubles, the photon's frequency f
 * +a) is cut in half
 * -b) becomes twice as big
 * -c) becomes 4 times as big
 * -d) is reduced by a factor of 4
 * -e) stays the same

50) Calculate the motional emf induced along a 24.4 km conductor moving at an orbital speed of 7.79 km/s perpendicular to Earth's 4.790E-05 Tesla magnetic field.


 * -a) 6.840E+03 V
 * -b) 7.524E+03 V
 * -c) 8.277E+03 V
 * +d) 9.105E+03 V
 * -e) 1.002E+04 V

51) An object is placed 7.8 cm to the left of a diverging lens with a focal length of 3.6 cm. How far is the image from the lens?


 * -a) 7.79 x 10-1 cm
 * -b) 1.39 x 100 cm
 * +c) 2.46 x 100 cm
 * -d) 4.38 x 100 cm
 * -e) 7.79 x 100 cm

52) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * +a) 3/5
 * -b) 2/4=1/2
 * -c) 3/4
 * -d) 2/5
 * -e) 5/6

53) A photon is polarized at 5&deg; when it encounters a filter oriented at 65&deg;. What is the probability that it is blocked?
 * -a) 0
 * -b) 1/2
 * +c) 1/4
 * -d) 3/4
 * -e) 1

54) A parallel plate capacitor with a capicatnce C=4.50E-06 F whose plates have an area A=3.30E+03 m2 and separation d=6.40E-03 m is connected via a swith to a 83 &Omega; resistor and a battery of voltage V0=56 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=1.40E-03?


 * -a) 7.767E+03 V/m
 * +b) 8.544E+03 V/m
 * -c) 9.398E+03 V/m
 * -d) 1.034E+04 V/m
 * -e) 1.137E+04 V/m

55) A 10 F capacitor is connected in series to a 10&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 4 x 100 s.
 * -b) 1.26 x 101 s.
 * -c) 4 x 101 s.
 * -d) 1.26 x 102 s.
 * +e) 4 x 102 s.

56) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?


 * +a) 1.141E-05 s
 * -b) 1.255E-05 s
 * -c) 1.381E-05 s
 * -d) 1.519E-05 s
 * -e) 1.671E-05 s

57) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * -a) circular or linear
 * -b) circular
 * -c) linear or elliptical
 * -d) circular or elliptical
 * +e) linearly

58) Two parallel wires each carry a 4.15 mA current and are oriented in the z direction. The first wire is located in the x-y   plane at (3.19 cm, 1.78 cm), while the other is located at (3.73 cm, 4.12 cm). What is the force per unit length between the wires?


 * +a) 1.434E-10 N/m
 * -b) 1.578E-10 N/m
 * -c) 1.736E-10 N/m
 * -d) 1.909E-10 N/m
 * -e) 2.100E-10 N/m

59) H is defined by, B=&mu;0H, where B is magnetic field. A current of 65A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point ( - 4.9, 4.9) to the point (4.9, 4.9).


 * -a) 1.23E+01 amps
 * -b) 1.35E+01 amps
 * -c) 1.48E+01 amps
 * +d) 1.63E+01 amps
 * -e) 1.78E+01 amps

60) A device requires consumes 103 W of power and requires 6.3 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.


 * -a) 8.999E+05 A/m2
 * -b) 9.899E+05 A/m2
 * -c) 1.089E+06 A/m2
 * +d) 1.198E+06 A/m2
 * -e) 1.317E+06 A/m2

61) The same parallel plate capacitor, with area 1.45 m2, plate separation  0.93mm, and an applied voltage of 4.45 kV.  How much charge is stored?


 * -a) 40.39 &mu;C.
 * -b) 46.45 &mu;C.
 * -c) 53.42 &mu;C.
 * +d) 61.43 &mu;C.
 * -e) 70.65 &mu;C.

62) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.51 kA, I2=2.33 kA, and I3=5.35 kA, take the $$\beta$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * +a) 3.795E-03 T-m
 * -b) 4.175E-03 T-m
 * -c) 4.592E-03 T-m
 * -d) 5.051E-03 T-m
 * -e) 5.556E-03 T-m

63) A long solenoid has a radius of 0.591 m and 41 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$1 A and $$\alpha=$$30 s&minus;1.What is the induced electric fied at a distance 0.234 m from the axis at time t=0.0208 s ?


 * -a) 6.618E-05 V/m
 * -b) 7.280E-05 V/m
 * -c) 8.008E-05 V/m
 * -d) 8.809E-05 V/m
 * +e) 9.689E-05 V/m

64) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
 * -a) 5/4
 * -b) 1/2
 * -c) 1/4
 * -d) 0
 * +e) 3/4
 * -f) 1

65) An loop of wire with 31 turns has a radius of 0.9 meters, and is oriented with its axis parallel to a magetic field of 0.83 Tesla. What is the induced voltage if this field is reduced to  35% of its original value in 1.7 seconds?


 * -a) 2.07 x 101 volts
 * +b) 2.5 x 101 volts
 * -c) 3.03 x 101 volts
 * -d) 3.67 x 101 volts
 * -e) 4.45 x 101 volts

66) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal.  To counter the magnetic force, a voltage is applied between two large parallel plates that are 59  mm apart.  What must be the applied voltage if the magnetic field is 45&mu;T?


 * -a) 1.1 x 100 volts
 * -b) 3.6 x 100 volts
 * -c) 1.1 x 101 volts
 * +d) 3.6 x 101 volts
 * -e) 1.1 x 102 volts

67) The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one?
 * +a) $$V_{Big-Resistor} = 6.67V$$ and $$V_{small-Resistor} = 3.33V$$.
 * -b) $$V_{Big-Resistor} = 3.33V$$ and$$V_{small-Resistor} = 6.67V$$.
 * -c) $$V_{small-Resistor} = 5V$$ and $$V_{Big-Resistor} = 5V$$.
 * -d) None of these are true.

68) When light passes from air to glass
 * -a) it does not bend
 * -b) it bends away from the normal
 * -c) the frequency increases
 * +d) it bends towards the normal
 * -e) the frequency decreases

69) A long solenoid has a radius of 0.583 m and 38 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$6 A and $$\alpha=$$24 s&minus;1.What is the induced electric fied at a distance 2.09 m from the axis at time t=0.0388 s ?


 * -a) 1.655E-04 V/m
 * -b) 1.821E-04 V/m
 * -c) 2.003E-04 V/m
 * +d) 2.203E-04 V/m
 * -e) 2.424E-04 V/m

70) A 819 mF capacitor is connected in series to a 798 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 8.27 x 105 s.
 * +b) 2.61 x 106 s.
 * -c) 8.27 x 106 s.
 * -d) 2.61 x 107 s.
 * -e) 8.27 x 107 s.

71) A parallel plate capacitor with a capicatnce C=9.80E-06 F whose plates have an area A=9.60E+03 m2 and separation d=8.70E-03 m is connected via a swith to a 23 &Omega; resistor and a battery of voltage V0=3 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=7.20E-04?


 * +a) 2.877E+00 V
 * -b) 3.165E+00 V
 * -c) 3.481E+00 V
 * -d) 3.829E+00 V
 * -e) 4.212E+00 V

72) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 3/16
 * +b) 3/32
 * -c) 1/8
 * -d) 1/16
 * -e) 1/32

73) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 4
 * +b) 8&minus;s
 * -c) s&minus;8
 * -d) 4&minus;s
 * -e) s&minus;4

74) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * -a) 1
 * -b) 1/4
 * -c) 3/4
 * +d) 5/4
 * -e) 1/2
 * -f) 0

75) A Van de Graff generator has a 140 cm diameter metal sphere that produces 244 kV near its surface. What  is the excess charge on the sphere?


 * +a) 1.900E+01 &mu;C
 * -b) 2.090E+01 &mu;C
 * -c) 2.299E+01 &mu;C
 * -d) 2.529E+01 &mu;C
 * -e) 2.782E+01 &mu;C

76) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) s&minus;8
 * -b) 4&minus;s
 * +c) 4
 * -d) 8&minus;s
 * -e) s&minus;4

77) 3 amps flow through a 1 Ohm resistor. What is the voltage?
 * -a) $$\frac{1}{3}V$$
 * -b) $$1V$$
 * +c) $$3V$$
 * -d) None these are correct.

78) A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?


 * +a) 4.788E+09 N/C2
 * -b) 5.267E+09 N/C2
 * -c) 5.793E+09 N/C2
 * -d) 6.373E+09 N/C2
 * -e) 7.010E+09 N/C2

79) Two 7.4 ohm resistors are connected in parallel.  This combination is then connected in series to a 2.8 ohm resistor.  What is the net resistance?


 * -a) 5.7 ohms.
 * +b) 6.5 ohms.
 * -c) 7.5 ohms.
 * -d) 8.6 ohms.
 * -e) 9.9 ohms.

80) A 12.0 V battery can move 41,000 C of charge. How many Joules does it deliver?


 * -a) 3.696E+05 J
 * -b) 4.066E+05 J
 * -c) 4.473E+05 J
 * +d) 4.920E+05 J
 * -e) 5.412E+05 J

81) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 60&deg; to that field?
 * -a) $$\tfrac 1 4$$
 * +b) $$\tfrac 1 2$$
 * -c) $$\tfrac \sqrt 3 2$$
 * -d) $$\tfrac 3 4$$
 * -e) $$\tfrac 1 \sqrt 2$$

82) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * -a) $$\tfrac 1 2$$
 * +b) $$\tfrac \sqrt 3 2$$
 * -c) $$\tfrac 3 4$$
 * -d) $$\tfrac 1 \sqrt 2$$
 * -e) $$ \tfrac 1 4$$

83) Calculate the drift speed of electrons in a copper wire with a diameter of 4.79 mm carrying a 10.9 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.


 * -a) 3.401E-05 m/s
 * -b) 3.741E-05 m/s
 * -c) 4.116E-05 m/s
 * +d) 4.527E-05 m/s
 * -e) 4.980E-05 m/s

84) In the figure shown C1=15.4 &mu;F, C2=2.22 &mu;F, and C3=4.77 &mu;F. The voltage source provides &epsilon;=6.8 V. What is the charge on C1?


 * -a) 2.702E+01 &mu;C
 * -b) 2.972E+01 &mu;C
 * +c) 3.269E+01 &mu;C
 * -d) 3.596E+01 &mu;C
 * -e) 3.956E+01 &mu;C

85) Calculate the resistance of a 12-gauge copper wire that is 14 m long and carries a current of 38 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * -a) 5.873E-02 &Omega;
 * -b) 6.460E-02 &Omega;
 * +c) 7.106E-02 &Omega;
 * -d) 7.816E-02 &Omega;
 * -e) 8.598E-02 &Omega;

86) A step-down transformer steps 12 kV down to 170 V. The high-voltage input is provided by a 140 &Omega; power line that carries 9 A of currentWhat is the output current (at the 170 V side ?)


 * -a) 4.773E+02 A
 * -b) 5.250E+02 A
 * -c) 5.775E+02 A
 * +d) 6.353E+02 A
 * -e) 6.988E+02 A

87) A photon is polarized at 5&deg; when it encounters a filter oriented at 35&deg;. What is the probability that it passes?
 * -a) 1/4
 * +b) 3/4
 * -c) 0
 * -d) 1
 * -e) 1/2

88) H is defined by, B=&mu;0H, where B is magnetic field. A current of 37A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,9) to the point (9,9).


 * -a) 4.22E+00 amps
 * +b) 4.63E+00 amps
 * -c) 5.07E+00 amps
 * -d) 5.56E+00 amps
 * -e) 6.10E+00 amps

89) This figure is associated with
 * -a) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -d) Evidence presented in 1800 that light is a wave.
 * +e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf

90) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
 * -a) 1/4
 * -b) 0
 * +c) 1/2
 * -d) 1
 * -e) 3/4
 * -f) 5/4

91) An object is placed 10.9 cm to the left of a diverging lens with a focal length of 16.4 cm. On the side, at a distance of 6.8 cm from the diverging lens is a converging lens with focal length equal to 4 cm.  How far is the final image from the converging lens?


 * -a) 1.81 x 10-1 cm
 * -b) 5.71 x 10-1 cm
 * -c) 1.81 x 100 cm
 * +d) 5.71 x 100 cm
 * -e) 1.81 x 101 cm

92) Which lens has the shorter focal length?
 * -a) Ray drawing eye schematic01.svg
 * -b) They have the same focal lengh.
 * +c) Ray_drawing_eye_schematic.svg

93) What is the sum of 0.8 apples plus 18 apples?


 * -a) 1.56E+01 apples
 * -b) 1.71E+01 apples
 * +c) 1.88E+01 apples
 * -d) 2.06E+01 apples
 * -e) 2.26E+01 apples

94) Three wires sit at the corners of a square of length 0.832 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.03 A, 1.95 A, 2.02 A), respectively. What is the x-component of the magnetic field at point P?


 * -a) Bx= 6.545E-05 T
 * +b) Bx= 7.200E-05 T
 * -c) Bx= 7.919E-05 T
 * -d) Bx= 8.711E-05 T
 * -e) Bx= 9.583E-05 T

95) A long solenoid has a length 0.605 meters, radius 4.26 cm, and 597 turns. It surrounds  coil of radius 9.08 meters and 12turns.  If the current in the solenoid is changing at a rate of 250 A/s, what is the emf induced in the surounding coil?


 * -a) 4.551E-02 V
 * -b) 5.006E-02 V
 * -c) 5.507E-02 V
 * -d) 6.057E-02 V
 * +e) 6.663E-02 V

96) What is consumer cost to operate one 65&minus;W incandescent bulb for 12 hours per day for 1 year (365 days) if the cost of electricity is $0.134 per kilowatt-hour?


 * -a) $2.866E+01
 * -b) $3.153E+01
 * -c) $3.468E+01
 * +d) $3.815E+01
 * -e) $4.196E+01

97) A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?
 * -a) 15V.
 * -b) 2V.
 * -c) 10V.
 * +d) 0.5V.

98) An electron gun has parallel plates separated by 2.68 cm and gives electrons 29 keV of energy. What force would the field between the plates exert on a 0.496 &mu;C charge that gets between the plates?


 * +a) 5.367E-01 N
 * -b) 5.904E-01 N
 * -c) 6.494E-01 N
 * -d) 7.144E-01 N
 * -e) 7.858E-01 N

99) A 5.7 ohm resistor is connected in series to a pair of 3.8 ohm resistors that are in parallel.  What is the net resistance?


 * -a) 5 ohms.
 * -b) 5.7 ohms.
 * -c) 6.6 ohms.
 * +d) 7.6 ohms.
 * -e) 8.7 ohms.

100) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * -a) No unique answer exists because two variables are involved (temperature and volume).
 * -b) They have the same energy density (since the holes are identical).
 * -c) The larger object has a greater energy density.
 * +d) The hotter object has a greater energy density.

101) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * -a) 1/2
 * -b) 1/4
 * +c) 1
 * -d) 0
 * -e) 3/4

102) An object of height 0.7 cm is placed 117 cm behind a diverging lens with a focal length of 70 cm. What is the height of the image?


 * +a) 2.62 x 10-1 cm
 * -b) 3.14 x 10-1 cm
 * -c) 3.77 x 10-1 cm
 * -d) 4.53 x 10-1 cm
 * -e) 5.43 x 10-1 cm

103) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * +a) win 1 point
 * -b) be disqualified for cheating
 * -c) lose 3 points
 * -d) lose 1 point
 * -e) win 3 points

104) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * -a) all of these are possible
 * +b) perpendicular
 * -c) at 45 degrees
 * -d) parallel

105) When a 4.63 V battery operates a 2.26 W bulb, how many electrons pass through it each second?


 * -a) 2.770E+18 electrons
 * +b) 3.047E+18 electrons
 * -c) 3.351E+18 electrons
 * -d) 3.686E+18 electrons
 * -e) 4.055E+18 electrons

106) A photon is polarized at 10&deg; when it encounters a filter oriented at 40&deg;. What is the probability that it is blocked?
 * -a) 0
 * +b) 3/4
 * -c) 1/2
 * -d) 1
 * -e) 1/4

107) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?
 * +a) No unique answer exists because two variables are involved (temperature and volume).
 * -b) They have the same energy (since the holes are identical).
 * -c) The larger object has a greater energy.
 * -d) The hotter object has a greater energy.

108) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * -a) 3mW
 * -b) 4mW
 * -c) 6mW
 * -d) 8mW
 * +e) 9mW

109) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.6 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=4.4 m, z=z0=1.4 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 5.0m2 ,and those in the zx plane have area 6.6m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 34&deg; from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * -a) 2.756E+01 N&middot;m2/C
 * -b) 3.032E+01 N&middot;m2/C
 * -c) 3.335E+01 N&middot;m2/C
 * -d) 3.668E+01 N&middot;m2/C
 * +e) 4.035E+01 N&middot;m2/C

110) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=   \rho z $$
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * +c) $$\varepsilon_0 E = H\rho /2$$
 * -d) $$\varepsilon_0 E=  H\rho $$
 * -e) none of these are correct

111) A 727 mF capacitor is connected in series to a 860 M&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)


 * +a) 1.88 x 109 s.
 * -b) 5.93 x 109 s.
 * -c) 1.88 x 1010 s.
 * -d) 5.93 x 1010 s.
 * -e) 1.88 x 1011 s.

112) In the figure shown C1=17.6 &mu;F, C2=2.12 &mu;F, and C3=4.72 &mu;F. The voltage source provides &epsilon;=5.35 V. What is the energy stored in C2?


 * -a) 6.750E+00 &mu;J
 * -b) 7.425E+00 &mu;J
 * +c) 8.168E+00 &mu;J
 * -d) 8.984E+00 &mu;J
 * -e) 9.883E+00 &mu;J

113) What is the current through R1, R2, R3, and R4 in the figure shown?
 * +a) $$I_1 = 1A$$; $$I_2 = 0.5A$$; $$I_3 = 0.33A$$; $$I_4 = 0.25A$$.
 * -b) $$I_1 = 1A$$; $$I_2 = 5A$$; $$I_3 = 3.3A$$; $$I_4 = 2.5A$$.
 * -c) $$I_1 = 0.25A$$; $$I_2 = 0.33A$$; $$I_3 = 0.5A$$; $$I_4 = 0.1A$$.
 * -d) $$I_1 = 10A$$; $$I_2 = 50A$$; $$I_3 = 33A$$; $$I_4 = 25A$$..

114) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * -a) $$\tfrac 1 4$$
 * -b) $$\tfrac 3 4$$
 * -c) $$\tfrac 1 \sqrt 2$$
 * +d) $$\tfrac \sqrt 3 2$$
 * -e) $$\tfrac 1 2$$

115) A 0.5 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?


 * -a) 3.46 kV/m.
 * -b) 3.98 kV/m.
 * +c) 4.57 kV/m.
 * -d) 5.26 kV/m.
 * -e) 6.05 kV/m.

116) This figure is associated with
 * -a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * -b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * +c) Evidence presented in 1800 that light is a wave.
 * -d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

117) A circlular capactitor of radius 4.1 m has a gap of 14 mm, and a charge of 24 &mu;C.  What is the electric field between the plates?


 * -a) 4.24E+04 N/C (or V/m)
 * +b) 5.13E+04 N/C (or V/m)
 * -c) 6.22E+04 N/C (or V/m)
 * -d) 7.53E+04 N/C (or V/m)
 * -e) 9.13E+04 N/C (or V/m)

118) An ideal 7.5 volt battery is connected to a 0.084 ohm resistor.  To measure the current an ammeter with a resistance of 14$$m\Omega$$ is used.  What current does the ammeter actually read?


 * -a) 43.8 A.
 * -b) 50.3 A.
 * -c) 57.9 A.
 * -d) 66.5 A.
 * +e) 76.5 A.

119) A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?
 * -a) $$\frac{11}{7}\Omega$$.
 * +b) $$\frac{21}{10}\Omega$$.
 * -c) $$\frac{7}{11}\Omega$$.
 * -d) $$\frac{10}{21}\Omega$$.

120) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * -a) $$2R\varepsilon_0 E=  r^2\rho $$
 * -b) none of these are correct
 * +c) $$2r\varepsilon_0 E = R^2\rho $$
 * -d) $$2\varepsilon_0 E = r\rho $$
 * -e) $$2r^2\varepsilon_0 E= R^3  \rho $$

121) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * +a) 3mW
 * -b) 6mW
 * -c) 4mW
 * -d) 9mW
 * -e) 8mW

122) An empty parallel-plate capacitor with metal plates has an area of 2.21 m2, separated by 1.25 mm. How much charge does it store if the voltage is 1.580E+03 V?


 * -a) 2.249E+01 &mu;C
 * +b) 2.473E+01 &mu;C
 * -c) 2.721E+01 &mu;C
 * -d) 2.993E+01 &mu;C
 * -e) 3.292E+01 &mu;C

123) An ideal 5.2 V voltage source is connected to two resistors in parallel.  One is 1.2$$k\Omega$$, and the other is 3.6 $$k\Omega$$.  What is the current through the larger resistor?


 * -a) 0.94 mA.
 * +b) 1.08 mA.
 * -c) 1.25 mA.
 * -d) 1.43 mA.
 * -e) 1.65 mA.

124) Calculate the quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * +a) +1/5
 * -b) 0
 * -c) +1
 * -d) &minus;2/5
 * -e) &minus;1/5
 * -f) +2/5

125) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following loses?
 * +a) K and K&clubs;
 * -b) K and K&spades;
 * -c) none of these are true
 * -d) two of these are true
 * -e) K&spades; and K&clubs;

126) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal A=$$:
 * -a) 1/2
 * -b) 2
 * +c) 4
 * -d) 8

127) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
 * -a) 1/2
 * +b) 1
 * -c) 3/4
 * -d) 0
 * -e) 5/4
 * -f) 1/4

128) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * -a) is reduced by a factor of 4
 * +b) becomes 4 times as big
 * -c) becomes twice as big
 * -d) is cut in half
 * -e) stays the same

129) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * +a) 1/2
 * -b) 0
 * -c) 1/4
 * -d) 1
 * -e) 3/4

130) An alpha-particle (m=6.64x10&minus;27kg, q=3.2x10&minus;19C) briefly enters a uniform magnetic field of magnitude 0.0482 T . It emerges after being deflected by 82&deg; from its original direction. How much time did it spend in that magnetic field?


 * -a) 4.629E-07 s
 * -b) 5.092E-07 s
 * -c) 5.601E-07 s
 * +d) 6.161E-07 s
 * -e) 6.777E-07 s

131) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * -a) stays the same
 * -b) increases by 2 eV
 * +c) decreases by 4 eV
 * -d) decreases by 2 eV
 * -e) increases by 4 eV

132) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?
 * +a) $$R_1 = 125V$$ and $$R_2 = 125V$$.
 * -b) None of these are true.
 * -c) $$R_1 = 250V$$ and $$R_2 = 0V$$.
 * -d) $$R_1 = 150V$$ and $$R_2 = 100V$$.

133) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 5
 * -b) 5&minus;s
 * -c) s&minus;1
 * +d) 1&minus;s
 * -e) s&minus;4

134) $$E_z(x=0,z)=\int_{-a}^b f(x,z)dx$$ is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m.  Evaluate $$f(x,y)$$ at x=0.96 m if a=0.63 m, b=1.4 m.  The total charge on the rod is 3 nC.


 * -a) 3.719E+00 V/m2
 * +b) 4.091E+00 V/m2
 * -c) 4.500E+00 V/m2
 * -d) 4.950E+00 V/m2
 * -e) 5.445E+00 V/m2

135) If you play the solitaire game 3 times, you will on average lose ___ times.
 * -a) 5
 * -b) 4
 * -c) 3
 * -d) 2
 * +e) 1

136) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 1&minus;s
 * -b) 5&minus;s
 * +c) 5
 * -d) s&minus;4
 * -e) s&minus;1

137) A 3.9 volt battery moves 90 Coulombs of charge in 2.2 hours. What is the power?


 * +a) 4.43 x 10-2 W
 * -b) 5.37 x 10-2 W
 * -c) 6.51 x 10-2 W
 * -d) 7.88 x 10-2 W
 * -e) 9.55 x 10-2 W

138) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?


 * -a) 2.36 x 10-3 newtons
 * -b) 7.47 x 10-3 newtons
 * -c) 2.36 x 10-2 newtons
 * +d) 7.47 x 10-2 newtons
 * -e) 2.36 x 10-1 newtons

139) Amphere's law for magnetostatic currents is that $$\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$$ equals the current enclosed by the closed loop, and $$B=\mu_0H$$ is the magnetic field. A current of 6.9A flows upward along the z axis. Noting that for this geometry, $$\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$$, calculate the line integral $$\oint d\ell$$ for a circle of radius 9.9m.


 * +a) 6.22E+01 m
 * -b) 6.82E+01 m
 * -c) 7.48E+01 m
 * -d) 8.20E+01 m
 * -e) 8.99E+01 m

140) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 &mu;T. The kinetic energy is 437 keV.  What is the radius of particle's orbit?


 * -a) 1.3 x 102 m.
 * -b) 4.1 x 102 m.
 * -c) 1.3 x 103 m.
 * -d) 4.1 x 103 m.
 * +e) 1.3 x 104 m.

141) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * -a) $$2\sqrt 2$$
 * -b) $$1$$
 * -c) $$\sqrt 2$$
 * -d) $$\tfrac 1 2$$
 * +e) $$\tfrac 1 \sqrt 2$$

142) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * +a) 6mW
 * -b) 9mW
 * -c) 3mW
 * -d) 8mW
 * -e) 4mW

143) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * -a) pendulum
 * +b) electromagnetic or pendulum
 * -c) both can be created
 * -d) electromagnetic

144) This figure is associated with
 * -a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * -b) Evidence presented in 1800 that light is a wave.
 * +c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

145) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * -a) win 3 points
 * -b) lose 1 point
 * -c) win 1 point
 * -d) be disqualified for cheating
 * +e) lose 3 points

146) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.23 V;. If R =4 &Omega;, L= 7.70E-03H, and C=9.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?


 * -a) 1.329E+00 &rad;
 * +b) 1.462E+00 &rad;
 * -c) 1.608E+00 &rad;
 * -d) 1.769E+00 &rad;
 * -e) 1.946E+00 &rad;

147) If the wavelength &lambda; associated with a photon is cut in half, the photon's energy E
 * -a) is cut in half
 * -b) stays the same
 * -c) becomes 4 times as big
 * -d) is reduced by a factor of 4
 * +e) becomes twice as big

148) The law of reflection applies to
 * -a) only light in a vacuum
 * -b) flat surfaces
 * -c) telescopes but not microscopes
 * -d) curved surfaces
 * +e) both flat and curved surfaces

149) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=4\times 10^{-7}\text{m}$$.what angle does the force on $$q_2$$ make above the $$-x$$ axis if $$q_1=3e$$, $$q_2=-8e$$, and $$q_3=6e$$?


 * -a) 5.243E+01 degrees
 * -b) 5.767E+01 degrees
 * +c) 6.343E+01 degrees
 * -d) 6.978E+01 degrees
 * -e) 7.676E+01 degrees

150) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * -a) is cut in half
 * -b) becomes twice as big
 * -c) stays the same
 * -d) becomes 4 times as big
 * +e) is reduced by a factor of 4

151) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * +a) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * -b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * -c) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * -d) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * -e) none of these are correct

152) A power supply delivers 169 watts of power to a 219 ohm resistor.  What was the applied voltage?


 * -a) 8.93 x 101 volts
 * -b) 1.08 x 102 volts
 * -c) 1.31 x 102 volts
 * -d) 1.59 x 102 volts
 * +e) 1.92 x 102 volts

153) If you play the solitaire game 6 times, you will on average lose ___ times.
 * -a) 4
 * -b) 5
 * -c) 6
 * +d) 2
 * -e) 3

154) H is defined by, B=&mu;0H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from  ( -&infin; ,9.4) to (+ &infin; ,9.4).


 * -a) 3.25E+01 amps
 * -b) 3.57E+01 amps
 * -c) 3.91E+01 amps
 * -d) 4.29E+01 amps
 * +e) 4.70E+01 amps

155) To create an unpolarized pendulum oscillation
 * +a) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
 * -b) create an elliptically polarized wave with an &epsilon;<0.8
 * -c) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * -d) create an elliptically polarized wave with an &epsilon;>0.2

156) Two loops of wire carry the same current of 64 kA, and flow in the same direction. They share a common axis and orientation.  One loop has a radius of 0.838 m while the other has a radius of 1.17 m.  What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.528 m from the first (smaller) loopif the disance between the loops is 1.62 m?


 * -a) 3.863E-02 T
 * +b) 4.249E-02 T
 * -c) 4.674E-02 T
 * -d) 5.141E-02 T
 * -e) 5.655E-02 T

157) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * +a) &minus;1/5
 * -b) &minus;2/5
 * -c) +1/5
 * -d) 0
 * -e) +2/5
 * -f) +1

158) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.
 * -a) true
 * +b) false

159) If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope?
 * +a) Resistance.
 * -b) None of these are true.
 * -c) Discriminant.
 * -d) Power.

160) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * -a) 6mW
 * -b) 3mW
 * -c) 4mW
 * -d) 8mW
 * +e) 9mW

161) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?


 * +a) 3.4 x 101 volts
 * -b) 5.1 x 101 volts
 * -c) 7.7 x 101 volts
 * -d) 1.2 x 102 volts
 * -e) 1.7 x 102 volts

162) In optics, normal means
 * -a) parallel to the surface
 * +b) perpendicular to the surface
 * -c) to the left of the optical axis
 * -d) to the right of the optical axis

163) The output of an ac generator connected to an RLC series combination has a frequency of 1.00E+03 Hz and an amplitude of 0.6 V;. If R =3 &Omega;, L= 1.70E-03H, and C=5.40E-04 F, what is the impedance?


 * -a) 8.123E+00 &Omega;
 * -b) 8.935E+00 &Omega;
 * -c) 9.828E+00 &Omega;
 * +d) 1.081E+01 &Omega;
 * -e) 1.189E+01 &Omega;

164) Three 1 ohm resistors are connected in parallel. What is the total resistance?
 * -a) $$\frac{2}{3}\Omega$$.
 * -b) $$\frac{3}{2}\Omega$$.
 * +c) $$\frac{1}{3}\Omega$$.
 * -d) $$ 3\Omega$$.

165) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?
 * -a) None of these are true.
 * +b) $$R_{Total} = 6\Omega$$.
 * -c) $$R_{Total} = 0.5454\Omega$$.
 * -d) $$R_{Total} = 3\Omega$$.

166) A solenoid has 3.950E+04 turns wound around a cylinder of diameter 1.64 cm and length 16 m. The current through the coils is 0.441 A.  Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $$\int\vec B\cdot\vec\ell$$ alongthe axis from z=&minus;2.05 cm to z=+3.97 cm


 * -a) 6.807E-05 T-m
 * -b) 7.487E-05 T-m
 * +c) 8.236E-05 T-m
 * -d) 9.060E-05 T-m
 * -e) 9.966E-05 T-m

167) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where$$\mathcal F=$$
 * -a) 3
 * -b) 1/2
 * -c) 2
 * +d) 3/2

168)  Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * -a) how a farsighted person might see a distant object
 * -b) how a nearsighted person might see a distant object
 * +c) how a farsighted person might see an object that is too close for comfort
 * -d) how a nearsighted person might see an object that is too close for comfort

169) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?
 * -a) It's an Electrical Cliche.
 * -b) The other point could be Negative or positive.
 * -c) None these are correct
 * +d) Voltage is a measure of Electric Potential difference between two electrical points.

170) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$
 * -a) s&minus;3
 * -b) 3
 * +c) 7&minus;s
 * -d) s&minus;7
 * -e) 3&minus;s

171) A 3 C charge is separated from a 9 C charge by distance of 13 cm.  What is the work done by increasing this separation to 21 cm?


 * -a) 6.465E-07 J
 * +b) 7.111E-07 J
 * -c) 7.822E-07 J
 * -d) 8.604E-07 J
 * -e) 9.465E-07 J

172) A washer has an inner diameter of 2.3 cm and an outer diamter of 4.44 cm. The thickness is $$h=Cr^{-n}$$ where $$r$$ is measured in cm, $$C=4.31mm$$, and $$n=2.66$$. What is the volume of the washer?


 * -a) 1.089E+00 cm3
 * -b) 1.198E+00 cm3
 * +c) 1.318E+00 cm3
 * -d) 1.449E+00 cm3
 * -e) 1.594E+00 cm3

173) An object is placed 4.65 cm to the left of a converging lens with a focal length of 6.2 cm. How far is the image from the lens?


 * -a) 1.86 x 100 cm
 * -b) 3.31 x 100 cm
 * -c) 5.88 x 100 cm
 * -d) 1.05 x 101 cm
 * +e) 1.86 x 101 cm

174) A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?
 * -a) 3A
 * +b) 2A
 * -c) 1.5A
 * -d) 12A

175) A 65 &mu;F capacitor is connected in series to a 414 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 1.08 x 101 s.
 * -b) 3.4 x 101 s.
 * +c) 1.08 x 102 s.
 * -d) 3.4 x 102 s.
 * -e) 1.08 x 103 s.

176) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?


 * -a) 3.9 x 104 m/s.
 * -b) 5.8 x 104 m/s.
 * +c) 8.7 x 104 m/s.
 * -d) 1.3 x 105 m/s.
 * -e) 2 x 105 m/s.

177) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * +a) $$2\varepsilon_0 E = r\rho $$
 * -b) $$2r\varepsilon_0 E = R^2\rho $$
 * -c) $$2R\varepsilon_0 E=  r^2\rho $$
 * -d) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -e) none of these are correct

178) An alpha-particle (q=3.2x10&minus;19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the  x-component of the force on the alpha-particle if it is moving with a velocity (1.43 i + 8.8 j  + 4.16 k) x 104 m/s?


 * +a) 1.064E-13 N
 * -b) 1.171E-13 N
 * -c) 1.288E-13 N
 * -d) 1.417E-13 N
 * -e) 1.558E-13 N

179) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=2\times 10^{-7}\text{m}$$. What is the magnitude of the net force on $$q_2$$ if $$q_1=1e$$, $$q_2=-8e$$, and $$q_3=3e$$?


 * -a) 5.243E-14 N
 * +b) 5.768E-14 N
 * -c) 6.344E-14 N
 * -d) 6.979E-14 N
 * -e) 7.677E-14 N

180) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * +a) $$\varepsilon_0 E=   \rho z $$
 * -b) $$\varepsilon_0 E = H\rho /2$$
 * -c) $$\varepsilon_0 E=  H\rho z$$
 * -d) $$\varepsilon_0 E=  H\rho $$
 * -e) none of these are correct

181) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 1.2 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.8 m from the center of the shells?


 * -a) 1.096E+00 N/C
 * -b) 1.206E+00 N/C
 * -c) 1.327E+00 N/C
 * -d) 1.459E+00 N/C
 * +e) 1.605E+00 N/C

182) In an LC circuit, the self-inductance is 0.0424 H and the capacitance is 7.790E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.230E-05 C. How long does it take for the capacitor to become completely discharged?


 * -a) 6.166E-04 s
 * -b) 6.783E-04 s
 * -c) 7.461E-04 s
 * -d) 8.207E-04 s
 * +e) 9.028E-04 s

183) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?


 * -a) 0.44 J.
 * -b) 0.51 J.
 * -c) 0.58 J.
 * +d) 0.67 J.
 * -e) 0.77 J.

184) A 195 Watt DC motor draws 0.49 amps of current. What is effective resistance?


 * +a) 8.12 x 102 &Omega;
 * -b) 9.84 x 102 &Omega;
 * -c) 1.19 x 103 &Omega;
 * -d) 1.44 x 103 &Omega;
 * -e) 1.75 x 103 &Omega;

185) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * +a) 22 + (9-s)2
 * -b) 72 + (2-s)2
 * -c) 92 + (7-s)2
 * -d) 22 + (7-s)2
 * -e) 92 + (2-s)2

186) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal F=$$:
 * -a) 2/3
 * -b) 3
 * +c) 3/2
 * -d) 1/2
 * -e) 2

187) How fast is a 2648 eV electron moving?


 * +a) 3.1 x 107 m/s.
 * -b) 4.6 x 107 m/s.
 * -c) 6.9 x 107 m/s.
 * -d) 1 x 108 m/s.
 * -e) 1.5 x 108 m/s.

188) The diameter of a copper wire is 1.9 mm, and it carries a current of 33 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m3 and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)


 * -a) 5.93 x 10-4m/s
 * -b) 7.19 x 10-4m/s
 * +c) 8.71 x 10-4m/s
 * -d) 1.06 x 10-3m/s
 * -e) 1.28 x 10-3m/s

189) A parallel plate capacitor with a capicatnce C=3.20E-06 F whose plates have an area A=2.80E+03 m2 and separation d=7.80E-03 m is connected via a swith to a 17 &Omega; resistor and a battery of voltage V0=94 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=2.20E-04?


 * -a) 8.809E-02 A
 * +b) 9.690E-02 A
 * -c) 1.066E-01 A
 * -d) 1.173E-01 A
 * -e) 1.290E-01 A

190) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC and only twoimpedances are involved,  Q=&equiv;&omega;0L/R is definedso that Q is large if the resistance is low.  Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V0sin(&omega;t), where V0=5 V. The resistance, inductance, and capacitance are R =0.17 &Omega;, L= 4.40E-03H, and C=3.40E-06 F, respectively.


 * -a) Q = 1.391E+02
 * -b) Q = 1.600E+02
 * -c) Q = 1.840E+02
 * +d) Q = 2.116E+02
 * -e) Q = 2.434E+02

191) Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * -a) how a nearsighted person might see an object that is too close for comfort
 * +b) how a nearsighted person might see a distant object
 * -c) how a farsighted person might see a distant object
 * -d) how a farsighted person might see an object that is too close for comfort

192) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * +a) (7-s)2 + 82
 * -b) 72 + (3&minus;s)2
 * -c) 72 + 82
 * -d) 72 + (8&minus;s)2
 * -e) 32 + 82

193) A very long and thin solenoid has 2376 turns and is 156 meters long. The wire carrys a current of 7.6A. If this solenoid is sufficiently thin, what is the line integral of$$\int \vec H\cdot\vec{d\ell}$$ along an on-axis path that starts 49 meters from the center and stops 102 meters from the center?


 * -a) 2.32E+03 A
 * -b) 2.55E+03 A
 * -c) 2.79E+03 A
 * -d) 3.06E+03 A
 * +e) 3.36E+03 A

194) A resistor has 10 volts across it and 4 amps going through it. What is its resistance?
 * -a) $$3.5\Omega.$$
 * -b) None of these are true.
 * +c) $$2.5\Omega.$$
 * -d) $$4.5\Omega.$$

195) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * -a) stays the same
 * +b) increases by 2 eV
 * -c) increases by 4 eV
 * -d) decreases by 2 eV
 * -e) decreases by 4 eV

196) A 97 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.753 T. What current is required to maintain this balance?


 * -a) 7.056E-02 A
 * -b) 7.762E-02 A
 * -c) 8.538E-02 A
 * +d) 9.392E-02 A
 * -e) 1.033E-01 A

197) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H$$ at a distance of 6.1m from a wire carrying a current of 5.8A?


 * -a) 1.38E-01 A/m
 * +b) 1.51E-01 A/m
 * -c) 1.66E-01 A/m
 * -d) 1.82E-01 A/m
 * -e) 1.99E-01 A/m

198) What angle does the electric field at the origin make with the x-axis if a 2.9 nC charge is placed at x = -6.3 m, and a 2.1  nC charge is placed at y = -8.8 m?


 * -a) 1.32 x 101degrees
 * -b) 1.53 x 101degrees
 * -c) 1.76 x 101degrees
 * +d) 2.04 x 101degrees
 * -e) 2.35 x 101degrees

199) Three wires sit at the corners of a square of length 0.591 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (2.47 A, 2.1 A, 2.24 A), respectively. What is the y-component of the magnetic field at point P?


 * +a) By= 1.191E-04 T
 * -b) By= 1.310E-04 T
 * -c) By= 1.441E-04 T
 * -d) By= 1.585E-04 T
 * -e) By= 1.744E-04 T

200) A cylinder of height 2.94 cm and radius 5.05 cm is cut into a wedge as shown. Now imagine that the volume grows as &theta; increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 2.37 cm from point O and moves at a speed of 7.29 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.) --(Answer & Why this question is different.)


 * +a) 1.153E+02 cm3/s
 * -b) 1.268E+02 cm3/s
 * -c) 1.395E+02 cm3/s
 * -d) 1.535E+02 cm3/s
 * -e) 1.688E+02 cm3/s

201) If you play the solitaire game 6 times, you will on average win ___ times.
 * +a) 4
 * -b) 2
 * -c) 3
 * -d) 5
 * -e) 6

202) What voltage is required accelerate an electron at rest to a speed of 1.5 x 103 m/s?


 * -a) 1.9 x 10-6 volts
 * -b) 2.8 x 10-6 volts
 * -c) 4.3 x 10-6 volts
 * +d) 6.4 x 10-6 volts
 * -e) 9.6 x 10-6 volts

203) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.24+1.11z)\rho^3\hat\rho +8.16z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\oint\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the entire surface of the cylinder.


 * -a) 4.69E+03
 * -b) 5.69E+03
 * +c) 6.89E+03
 * -d) 8.35E+03
 * -e) 1.01E+04

204) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * -a) K and K&clubs;
 * +b) two of these are true
 * -c) K&spades; and K&clubs;
 * -d) K and K&spades;
 * -e) none of these are true

205) A cyclotron used to accelerate alpha particlesm=6.64 x 10&minus;27kg, q=3.2 x 10&minus;19C) has a radius of 0.413 m and a magneticfield of 0.988 T. What is their maximum kinetic energy?


 * -a) 6.029E+00 MeV
 * -b) 6.631E+00 MeV
 * -c) 7.295E+00 MeV
 * +d) 8.024E+00 MeV
 * -e) 8.827E+00 MeV

206) A battery with a terminal voltage of 10.7 V is connected to a circuit consisting of 2 24.5 &Omega; resistors and one 15.2 &Omega; resistor. What is the voltage drop across the 15.2 &Omega; resistor?


 * -a) 1.730E+00 V
 * -b) 1.903E+00 V
 * -c) 2.094E+00 V
 * -d) 2.303E+00 V
 * +e) 2.533E+00 V

207) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * +a) 2/5
 * -b) 2/4=1/2
 * -c) 3/5
 * -d) 3/4
 * -e) 5/6

208) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 2
 * -b) 2 &minus; s
 * -c) s &minus; 9
 * +d) 9 &minus; s
 * -e) s &minus; 2

209) When light passes from glass to air
 * +a) it bends away from the normal
 * -b) the frequency increases
 * -c) it bends towards the normal
 * -d) it does not bend
 * -e) the frequency decreases

210) H is defined by, B=&mu;0H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,6.4) to the point (6.4,0).


 * -a) 2.10E+01 amps
 * +b) 2.30E+01 amps
 * -c) 2.52E+01 amps
 * -d) 2.77E+01 amps
 * -e) 3.03E+01 amps

211) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * +a) 1/2
 * -b) 3/4
 * -c) 1
 * -d) 1/4
 * -e) 0

212) An RLC series combination is driven with an applied voltage of of V=V0sin(&omega;t), where V0=0.31 V. The resistance, inductance, and capacitance are R =5 &Omega;, L= 9.00E-03H, and C=5.10E-04 F, respectively. What is the amplitude of the current?


 * -a) 4.235E-02 A
 * -b) 4.658E-02 A
 * -c) 5.124E-02 A
 * -d) 5.636E-02 A
 * +e) 6.200E-02 A

213) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H_y$$ at the point (9.3623,2.8961) if a current of 6.9A flows through a wire that runs along the z axis?


 * -a) 8.90E-02 A/m
 * -b) 9.76E-02 A/m
 * +c) 1.07E-01 A/m
 * -d) 1.17E-01 A/m
 * -e) 1.29E-01 A/m

214) The current through the windings of a solenoid with n= 2.060E+03 turns per meter is changing at a rate dI/dt=12 A/s. The solenoid is 68 cm long and has a cross-sectional diameter of 2.96 cm.  A small coil consisting of N=29turns wraped in a circle of diameter 1.74 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil.  What is the emf induced in the coil?


 * -a) 1.463E-04 V
 * -b) 1.609E-04 V
 * -c) 1.770E-04 V
 * -d) 1.947E-04 V
 * +e) 2.142E-04 V

215) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and  P2 where the polar coordinates (r,&phi;) of  P1 are  (9 cm, 0&deg;) and  P2 is at (16 cm, 71&deg;).


 * -a) 1.969E+02 V
 * -b) 2.166E+02 V
 * -c) 2.383E+02 V
 * +d) 2.621E+02 V
 * -e) 2.884E+02 V

216) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * +a) 1/8
 * -b) 3/32
 * -c) 3/16
 * -d) 1/32
 * -e) 1/16

217) A circlular capactitor of radius 4.5 m has a gap of 18 mm, and a charge of 92 &mu;C.  Compute the surface integral  $$c^{-2}\oint\vec E\cdot d\vec A$$ over an inner face of the capacitor.


 * -a) 7.88E-11 Vs2m-1
 * -b) 9.54E-11 Vs2m-1
 * +c) 1.16E-10 Vs2m-1
 * -d) 1.40E-10 Vs2m-1
 * -e) 1.70E-10 Vs2m-1

218) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?
 * +a) 25 Joules
 * -b) 5 Joules
 * -c) 3 Joules
 * -d) None of these are true

219) Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is  opened as as S2 is closed.  How long will it take for the energy stored in the inductor to be reduced to 2.54% of its maximum value if &epsilon; = 2.46 V, R = 2.8 &Omega;, and L = 5.67 H?


 * -a) -2.540E+00 s
 * -b) -2.794E+00 s
 * -c) -3.073E+00 s
 * -d) -3.381E+00 s
 * +e) -3.719E+00 s

220) A square coil has sides that are L= 0.325 m long and is tightly wound with N=697 turns of wire. The resistance of the coil is R=4.87 &Omega;. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0842 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?


 * -a) 1.157E+00 A
 * +b) 1.273E+00 A
 * -c) 1.400E+00 A
 * -d) 1.540E+00 A
 * -e) 1.694E+00 A

221) A spatially uniform magnetic points in the z-direction and oscilates with time as $$\vec B(t) = B_0\sin\omega t $$ where $$B_0=$$2.25 T and $$\omega=$$8.280E+03 s&minus;1. Suppose the electric field is always zero at point $$\mathcal O$$, and consider a circle of radius 0.227 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral $$\oint \vec B\cdot d\vec s$$ around the circle.


 * +a) 2.657E+04 V
 * -b) 2.923E+04 V
 * -c) 3.215E+04 V
 * -d) 3.537E+04 V
 * -e) 3.890E+04 V

222) An ac generator produces an emf of amplitude 50 V at a frequency of 47 Hz. What is the maximum amplitude of the current if the generator is connected to a  88 mF capacitor?


 * -a) 1.074E+00 A
 * -b) 1.181E+00 A
 * +c) 1.299E+00 A
 * -d) 1.429E+00 A
 * -e) 1.572E+00 A

223) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=4, y=0), (x=0, y=3), and (x=4, y=3), where x and y are measured in meters. The electric field is, $$\vec E=2y^{2.7}\hat i +2x^{2.9}\hat j +2y^{2.0}\hat k$$


 * +a) 7.200E+01 V&middot;m
 * -b) 7.920E+01 V&middot;m
 * -c) 8.712E+01 V&middot;m
 * -d) 9.583E+01 V&middot;m
 * -e) 1.054E+02 V&middot;m

224) A 41 kW radio transmitter on Earth sends it signal to a satellite 160 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 85 kW?


 * -a) 2.094E+02 km
 * +b) 2.304E+02 km
 * -c) 2.534E+02 km
 * -d) 2.788E+02 km
 * -e) 3.066E+02 km

225) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at  (x,y) =( 3a, 5a) is &beta;kQ/a2, where &beta; equals


 * +a) 1.08 x 10-3 unit
 * -b) 1.31 x 10-3 unit
 * -c) 1.59 x 10-3 unit
 * -d) 1.93 x 10-3 unit
 * -e) 2.34 x 10-3 unit

226) A battery has an emf of 5.5 volts, and an internal resistance of 296 $$k\Omega$$. It is connected to a 3.3 $$M\Omega$$ resistor.  What power is developed in the 3.3  $$M\Omega$$ resistor?


 * +a) 7.72 $$\mu$$W.
 * -b) 8.88 $$\mu$$W.
 * -c) 10.21 $$\mu$$W.
 * -d) 11.74 $$\mu$$W.
 * -e) 13.5 $$\mu$$W.

227) In the circuit shown V=15.8 V, R1=1.86 &Omega;, R2=7.66 &Omega;, and R3=12.9 &Omega;. What is the power dissipated by R2?


 * -a) 1.157E+01 W
 * -b) 1.273E+01 W
 * -c) 1.400E+01 W
 * -d) 1.540E+01 W
 * +e) 1.694E+01 W

228) If this represents the eye looking at an object, where is this object?
 * -a) very far away
 * -b) at infinity
 * -c) directly in front of the eye (almost touching)
 * -d) One focal length in front of the eye
 * +e) Two (of the other answers) are true

229) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?


 * -a) 7.000E+01 N/C
 * -b) 7.701E+01 N/C
 * +c) 8.471E+01 N/C
 * -d) 9.318E+01 N/C
 * -e) 1.025E+02 N/C

230) What is the magnitude of the electric field at the origin if a 1.7 nC charge is placed at x = 6.4 m, and a 3 nC charge is placed at y = 8 m?


 * -a) 4.22 x 10-1N/C
 * -b) 4.87 x 10-1N/C
 * +c) 5.63 x 10-1N/C
 * -d) 6.5 x 10-1N/C
 * -e) 7.51 x 10-1N/C

231) This figure is associated with
 * -a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * -b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -d) Evidence presented in 1800 that light is a wave.
 * +e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

232) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?
 * -a) $$\frac{6}{10}\Omega$$.
 * -b) $$\frac{7}{10}\Omega$$.
 * +c) $$\frac{10}{7}\Omega$$.
 * -d) $$\frac{10}{6}\Omega$$.

233) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.33 kA, I2=0.741 kA, and I3=2.21 kA, take the $$\omega$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * -a) 3.261E-03 T-m
 * -b) 3.587E-03 T-m
 * -c) 3.945E-03 T-m
 * -d) 4.340E-03 T-m
 * +e) 4.774E-03 T-m

234) An induced emf of 7.87V is measured across a coil of 66 closely wound turns while the current throuth it increases uniformly from 0.0 to 7.05A in 0.781s. What is the self-inductance of the coil?


 * -a) 7.926E-01 H
 * +b) 8.718E-01 H
 * -c) 9.590E-01 H
 * -d) 1.055E+00 H
 * -e) 1.160E+00 H

235) What is the radiation force on an object that is 4.70E+11 m away from the sun and has cross-sectional area of 0.015 m2? The average power output of the Sun is 3.80E+26 W.


 * -a) 1.029E-08 N
 * -b) 1.132E-08 N
 * -c) 1.245E-08 N
 * +d) 1.370E-08 N
 * -e) 1.507E-08 N

236) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=5.2 m, z=z0=1.6 m, and z=z1=4.7 m. The surfaces in the yz plane each have area 11.0m2. Those in the xy plane have area 4.7m2 ,and those in the zx plane have area 4.0m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 43&deg; above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * -a) 2.214E+01 N&middot;m2/C
 * -b) 2.436E+01 N&middot;m2/C
 * -c) 2.679E+01 N&middot;m2/C
 * -d) 2.947E+01 N&middot;m2/C
 * +e) 3.242E+01 N&middot;m2/C

237) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.24+1.11z)\rho^3\hat\rho +8.16z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{top}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the top surface of the cylinder.


 * +a) 2.769E+03
 * -b) 3.354E+03
 * -c) 4.064E+03
 * -d) 4.923E+03
 * -e) 5.965E+03

238) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for $$r<a$$ is, $$B_\theta (r)=\left( \frac{2r}{a} - \frac{r^2}{a^2}\right)B_{max}$$, where $$B_{max}$$ is the maximum magnetic field (at $$r=a$$).  If $$a=$$ 0.619 m and $$B_{max}=\,$$ 0.215 T, then how much current (in the z-direction) flows through a circle of radius $$r=$$ 0.351 m that is centered on the axis with its plane perpendicular to the axis?


 * -a) 2.534E+05 A
 * -b) 2.787E+05 A
 * +c) 3.066E+05 A
 * -d) 3.373E+05 A
 * -e) 3.710E+05 A

239) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the force between the plates if they are 0.6 mm apart?


 * -a) 2381 N.
 * -b) 2738 N.
 * +c) 3149 N.
 * -d) 3621 N.
 * -e) 4164 N.

240) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$\sqrt 2$$ what is the length of each side?
 * -a) $$1$$
 * +b) $$\sqrt 2$$
 * -c) $$\tfrac 1 2$$
 * -d) $$\tfrac 1 \sqrt 2$$
 * -e) $$2\sqrt 2$$

241) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=62 V is x2 + y2 + z2 = R2, where R=


 * -a) 2.277E+00 m
 * -b) 2.505E+00 m
 * -c) 2.755E+00 m
 * -d) 3.031E+00 m
 * +e) 3.334E+00 m

242) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 16 turns per centimeter and the current applied to the solenoid is 536 mA, the net magnetic field is measured to be 1.47 T. What is the magnetic susceptibility for this case?


 * -a) $$\chi \text{ (chi) }=$$ 9.310E+02
 * -b) $$\chi \text{ (chi) }=$$ 1.024E+03
 * -c) $$\chi \text{ (chi) }=$$ 1.126E+03
 * -d) $$\chi \text{ (chi) }=$$ 1.239E+03
 * +e) $$\chi \text{ (chi) }=$$ 1.363E+03

243) Two large parallel conducting plates are separated by 7.42 mm. Equal and opposite surface charges of 7.760E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * -a) 3.979E-01 mm
 * -b) 4.576E-01 mm
 * -c) 5.263E-01 mm
 * -d) 6.052E-01 mm
 * +e) 6.960E-01 mm

244) What is the average current involved when a truck battery sets in motion 537 C of charge in 5.08 s while starting an engine?


 * -a) 8.736E+01 A
 * -b) 9.610E+01 A
 * +c) 1.057E+02 A
 * -d) 1.163E+02 A
 * -e) 1.279E+02 A

245) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * -a) circular or linear
 * -b) linear or elliptical
 * -c) circular
 * +d) circular or elliptical
 * -e) linearly

246) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?
 * -a) 8W
 * +b) 24W
 * -c) 2.2W
 * -d) 3W

247) The resistances in the figure shown are R1= 2.41 &Omega;, R2= 1.74 &Omega;, and R2= 3.35 &Omega;. V1 and V3 are text 0.508 V and 1.36 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.595 V. What is the absolute value of the current through R1?


 * -a) 1.203E-01 A
 * -b) 1.324E-01 A
 * +c) 1.456E-01 A
 * -d) 1.602E-01 A
 * -e) 1.762E-01 A

248) A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.57 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.59 cm, y=1.78 cm)? Note that following the textbook's example, the y-value of the field point at 1.78 cm matches the disance of the positive charge above the x-axis.


 * -a) 2.727E+02 V
 * -b) 2.999E+02 V
 * -c) 3.299E+02 V
 * +d) 3.629E+02 V
 * -e) 3.992E+02 V

249) A wire carries a current of 193 A in a circular arc with radius 3.13 cm swept through 40 degrees. Assuming that the rest of the current is 100% shielded by  mu-metal, what is the magnetic field at the center of the arc?


 * -a) 1.285E+00 Tesla
 * +b) 1.413E+00 Tesla
 * -c) 1.554E+00 Tesla
 * -d) 1.710E+00 Tesla
 * -e) 1.881E+00 Tesla

250) A non-conducting sphere of radius R=3.8 m has a non-uniform charge density that varies with the distnce from its center as given by &rho;(r)=ar1.7 (r&le;R) where a=3 nC&middot;m-1.3. What is the magnitude of the electric field at a distance of 3.1 m from the center?


 * -a) 1.390E+03 N/C
 * +b) 1.530E+03 N/C
 * -c) 1.682E+03 N/C
 * -d) 1.851E+03 N/C
 * -e) 2.036E+03 N/C

251) Two resistors are in parallel with a voltage source. How do their voltages compare?
 * -a) The voltage across both resistors is half the voltage of the source.
 * +b) The voltage across both resistors is the same as the source.
 * -c) One has full voltage, the other has none.
 * -d) None of these are true.

252) Two sources of emf &epsilon;1=27.1 V, and  &epsilon;2=8.04 V are oriented as shownin the circuit. The resistances are R1=2.94 k&Omega; and  R2=1.61 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.87 mA and I4=0.57 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 8.482E+00 V
 * +b) 9.330E+00 V
 * -c) 1.026E+01 V
 * -d) 1.129E+01 V
 * -e) 1.242E+01 V

253) Mr. Smith is gazing at something as shown in the figure to the left.  Suppose he does not refocus, but attempts to stare at the star shown in the figures below.  Which diagram depicts how the rays from the star would travel if he does not refocus?
 * +a) Ray drawing eye schematic02.svg
 * -b) Ray_drawing_eye_schematic_alternate.svg
 * -c) Ray drawing eye Wrong Answer.svg

254) Calculate the final speed of a free electron accelerated from rest through a potential difference of 16 V.


 * -a) 2.157E+06 m/s
 * +b) 2.372E+06 m/s
 * -c) 2.610E+06 m/s
 * -d) 2.871E+06 m/s
 * -e) 3.158E+06 m/s

255) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.549 m. The magnetic field is spatially uniform but decays in time according to $$(2.97)e^{-\alpha t}$$, where $$\alpha=$$7.0 s. What is the current in the coil if the impedance of the coil is 46.7 &Omega;?


 * -a) 2.032E-01 A
 * -b) 2.235E-01 A
 * -c) 2.458E-01 A
 * -d) 2.704E-01 A
 * +e) 2.975E-01 A

256) A recangular coil with an area of 0.157 m2 and 17 turns is placed in a uniform magnetic field of 3.64 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 5.890E+03 s&minus;1.  What is the magnitude (absolute value) of the induced emf at t = 9 s?


 * -a) 4.464E+04 V
 * -b) 4.911E+04 V
 * +c) 5.402E+04 V
 * -d) 5.942E+04 V
 * -e) 6.536E+04 V

257) The charge passing a plane intersecting a wire is $$Q_M=\left(1-e^{t/\tau}\right)$$, where $$Q_M$$=97 C  and $$\tau=$$0.0132 s. What is the current at $$t=$$0.0225 s?


 * +a) 1.336E+03 A
 * -b) 1.470E+03 A
 * -c) 1.617E+03 A
 * -d) 1.779E+03 A
 * -e) 1.957E+03 A

258) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is  1.53mm.  Applied to the plates is a potential difference of 2.55 kV.  What is the capacitance?


 * +a) 8.39 nF.
 * -b) 9.65 nF.
 * -c) 11.1 nF.
 * -d) 12.76 nF.
 * -e) 14.68 nF.

259) An important principle that allows fiber optics to work is
 * -a) total external refraction
 * -b) the invariance of the speed of light
 * -c) the Doppler shift
 * -d) partial internal absorption
 * +e) total internal reflection

260) A circlular capactitor of radius 4.9 m has a gap of 14 mm, and a charge of 56 &mu;C.  The capacitor is discharged through a  6 k&Omega; resistor.  What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)


 * -a) 3.18E-09 Tesla
 * -b) 4.00E-09 Tesla
 * -c) 5.04E-09 Tesla
 * -d) 6.34E-09 Tesla
 * +e) 7.99E-09 Tesla

261) Three resistors, R1 = 1.52 &Omega;, and R2 = R2 = 3.38 &Omega;, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 1.842E+01 W
 * -b) 2.026E+01 W
 * +c) 2.228E+01 W
 * -d) 2.451E+01 W
 * -e) 2.696E+01 W

Key: A2
1) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm.  What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?


 * -a) 5.14 x 10-5 Volts
 * +b) 1.62 x 10-4 Volts
 * -c) 5.14 x 10-4 Volts
 * -d) 1.62 x 10-3 Volts
 * -e) 5.14 x 10-3 Volts

2) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 2/4=1/2
 * -b) 3/4
 * -c) 2/5
 * +d) 3/5
 * -e) 5/6

3) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.72 kA, I2=2.17 kA, and I3=3.21 kA, take the $$\omega$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * -a) 3.905E-03 T-m
 * -b) 4.295E-03 T-m
 * +c) 4.725E-03 T-m
 * -d) 5.197E-03 T-m
 * -e) 5.717E-03 T-m

4) The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one?
 * -a) $$V_{small-Resistor} = 5V$$ and $$V_{Big-Resistor} = 5V$$.
 * -b) None of these are true.
 * +c) $$V_{Big-Resistor} = 6.67V$$ and $$V_{small-Resistor} = 3.33V$$.
 * -d) $$V_{Big-Resistor} = 3.33V$$ and$$V_{small-Resistor} = 6.67V$$.

5) A photon is polarized at 10&deg; when it encounters a filter oriented at 40&deg;. What is the probability that it is blocked?
 * -a) 1/4
 * -b) 1/2
 * -c) 1
 * -d) 0
 * +e) 3/4

6) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=6\times 10^{-7}\text{m}$$.what angle does the force on $$q_2$$ make above the $$-x$$ axis if $$q_1=3e$$, $$q_2=-7e$$, and $$q_3=6e$$?


 * +a) 6.343E+01 degrees
 * -b) 6.978E+01 degrees
 * -c) 7.676E+01 degrees
 * -d) 8.443E+01 degrees
 * -e) 9.288E+01 degrees

7) The current through the windings of a solenoid with n= 2.460E+03 turns per meter is changing at a rate dI/dt=7 A/s. The solenoid is 87 cm long and has a cross-sectional diameter of 3.32 cm.  A small coil consisting of N=38turns wraped in a circle of diameter 1.29 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil.  What is the emf induced in the coil?


 * -a) 7.340E-05 V
 * -b) 8.075E-05 V
 * -c) 8.882E-05 V
 * -d) 9.770E-05 V
 * +e) 1.075E-04 V

8) How fast is a 2952 eV electron moving?


 * -a) 6.4 x 106 m/s.
 * -b) 9.5 x 106 m/s.
 * -c) 1.4 x 107 m/s.
 * -d) 2.1 x 107 m/s.
 * +e) 3.2 x 107 m/s.

9) A Van de Graff generator has a 85 cm diameter metal sphere that produces 235 kV near its surface. What  is the excess charge on the sphere?


 * -a) 9.184E+00 &mu;C
 * -b) 1.010E+01 &mu;C
 * +c) 1.111E+01 &mu;C
 * -d) 1.222E+01 &mu;C
 * -e) 1.345E+01 &mu;C

10) A proton is accellerated (at rest) from a plate held at 588.2 volts to a plate at zero volts. What is the final speed?


 * -a) 6.6 x 104 m/s.
 * -b) 10 x 104 m/s.
 * -c) 1.5 x 105 m/s.
 * -d) 2.2 x 105 m/s.
 * +e) 3.4 x 105 m/s.

11) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for $$r<a$$ is, $$B_\theta (r)=\left( \frac{2r}{a} - \frac{r^2}{a^2}\right)B_{max}$$, where $$B_{max}$$ is the maximum magnetic field (at $$r=a$$).  If $$a=$$ 0.353 m and $$B_{max}=\,$$ 0.697 T, then how much current (in the z-direction) flows through a circle of radius $$r=$$ 0.196 m that is centered on the axis with its plane perpendicular to the axis?


 * +a) 5.479E+05 A
 * -b) 6.027E+05 A
 * -c) 6.630E+05 A
 * -d) 7.293E+05 A
 * -e) 8.022E+05 A

12) What is the average current involved when a truck battery sets in motion 659 C of charge in 5.48 s while starting an engine?


 * -a) 8.214E+01 A
 * -b) 9.035E+01 A
 * -c) 9.938E+01 A
 * -d) 1.093E+02 A
 * +e) 1.203E+02 A

13) Two resistors are in parallel with a voltage source. How do their voltages compare?
 * -a) The voltage across both resistors is half the voltage of the source.
 * +b) The voltage across both resistors is the same as the source.
 * -c) One has full voltage, the other has none.
 * -d) None of these are true.

14) A recangular coil with an area of 0.291 m2 and 6 turns is placed in a uniform magnetic field of 2.63 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 7.130E+03 s&minus;1.  What is the magnitude (absolute value) of the induced emf at t = 35 s?


 * -a) 1.490E+04 V
 * -b) 1.639E+04 V
 * -c) 1.803E+04 V
 * -d) 1.983E+04 V
 * +e) 2.181E+04 V

15) Two orbiting satellites are orbiting at a speed of 83 km/s perpendicular to a magnetic field of 57 &mu;T. They are connected by a cable that is 23 km long.  A voltmeter is attached between a satellite and one end of the cable.  The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit.  What is the measured voltage?


 * -a) 8.98 x 104 volts.
 * +b) 1.09 x 105 volts.
 * -c) 1.32 x 105 volts.
 * -d) 1.6 x 105 volts.
 * -e) 1.93 x 105 volts.

16) Calculate the motional emf induced along a 11.9 km conductor moving at an orbital speed of 7.8 km/s perpendicular to Earth's 4.870E-05 Tesla magnetic field.


 * -a) 3.736E+03 V
 * -b) 4.109E+03 V
 * +c) 4.520E+03 V
 * -d) 4.972E+03 V
 * -e) 5.470E+03 V

17) A 6 C charge is separated from a 13 C charge by distance of 8 cm.  What is the work done by increasing this separation to 16 cm?


 * -a) 3.292E-06 J
 * -b) 3.621E-06 J
 * -c) 3.983E-06 J
 * +d) 4.381E-06 J
 * -e) 4.820E-06 J

18) H is defined by, B=&mu;0H, where B is magnetic field. A current of 36A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from  ( -&infin; ,8.3) to (+ &infin; ,8.3).


 * -a) 1.50E+01 amps
 * -b) 1.64E+01 amps
 * +c) 1.80E+01 amps
 * -d) 1.97E+01 amps
 * -e) 2.16E+01 amps

19) A long solenoid has a length 0.777 meters, radius 3.45 cm, and 557 turns. It surrounds  coil of radius 6.01 meters and 10turns.  If the current in the solenoid is changing at a rate of 184 A/s, what is the emf induced in the surounding coil?


 * -a) 1.463E-02 V
 * -b) 1.609E-02 V
 * -c) 1.770E-02 V
 * +d) 1.947E-02 V
 * -e) 2.142E-02 V

20) In the figure shown C1=21.1 &mu;F, C2=2.69 &mu;F, and C3=4.78 &mu;F. The voltage source provides &epsilon;=12.8 V. What is the energy stored in C2?


 * -a) 2.102E+01 &mu;J
 * -b) 2.312E+01 &mu;J
 * +c) 2.543E+01 &mu;J
 * -d) 2.797E+01 &mu;J
 * -e) 3.077E+01 &mu;J

21) If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope?
 * -a) Power.
 * +b) Resistance.
 * -c) Discriminant.
 * -d) None of these are true.

22) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?


 * -a) 1473 N.
 * -b) 1694 N.
 * -c) 1948 N.
 * +d) 2241 N.
 * -e) 2577 N.

23) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 1/32
 * -b) 1/16
 * -c) 3/16
 * -d) 3/32
 * +e) 1/8

24) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * -a) 72 + (2-s)2
 * -b) 22 + (7-s)2
 * -c) 92 + (7-s)2
 * +d) 22 + (9-s)2
 * -e) 92 + (2-s)2

25) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at  (x,y) =( 1.1a, 1.2a) is &beta;kQ/a2, where &beta; equals


 * +a) 3.47 x 10-1 unit
 * -b) 4.2 x 10-1 unit
 * -c) 5.09 x 10-1 unit
 * -d) 6.17 x 10-1 unit
 * -e) 7.47 x 10-1 unit

26) In optics, normal means
 * -a) parallel to the surface
 * +b) perpendicular to the surface
 * -c) to the left of the optical axis
 * -d) to the right of the optical axis

27) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 &Omega;, L= 9.10E-03H, and C=8.80E-06 F, what is the rms power transferred to the resistor?


 * -a) 4.320E-04 Watts
 * -b) 4.752E-04 Watts
 * +c) 5.227E-04 Watts
 * -d) 5.750E-04 Watts
 * -e) 6.325E-04 Watts

28) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * -a) circular
 * -b) circular or elliptical
 * -c) circular or linear
 * +d) linearly
 * -e) linear or elliptical

29) The law of reflection applies to
 * -a) telescopes but not microscopes
 * -b) only light in a vacuum
 * -c) curved surfaces
 * +d) both flat and curved surfaces
 * -e) flat surfaces

30) A 4.7 volt battery moves 50 Coulombs of charge in 1.3 hours. What is the power?


 * -a) 4.14 x 10-2 W
 * +b) 5.02 x 10-2 W
 * -c) 6.08 x 10-2 W
 * -d) 7.37 x 10-2 W
 * -e) 8.93 x 10-2 W

31) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 5&minus;s
 * -b) s&minus;1
 * -c) s&minus;4
 * +d) 1&minus;s
 * -e) 5

32) Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is  opened as as S2 is closed.  How long will it take for the energy stored in the inductor to be reduced to 2.23% of its maximum value if &epsilon; = 3.13 V, R = 3.59 &Omega;, and L = 3.38 H?


 * -a) -1.345E+00 s
 * -b) -1.480E+00 s
 * -c) -1.628E+00 s
 * +d) -1.790E+00 s
 * -e) -1.969E+00 s

33) A cylinder of height 1.3 cm and radius 6.01 cm is cut into a wedge as shown. Now imagine that the volume grows as &theta; increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 3.61 cm from point O and moves at a speed of 2.11 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.) --(Answer & Why this question is different.)


 * +a) 1.372E+01 cm3/s
 * -b) 1.509E+01 cm3/s
 * -c) 1.660E+01 cm3/s
 * -d) 1.826E+01 cm3/s
 * -e) 2.009E+01 cm3/s

34) The same parallel plate capacitor, with area 1.45 m2, plate separation  1.53mm, and an applied voltage of 2.55 kV.  How much charge is stored?


 * -a) 12.23 &mu;C.
 * -b) 14.07 &mu;C.
 * -c) 16.18 &mu;C.
 * -d) 18.61 &mu;C.
 * +e) 21.4 &mu;C.

35) The output of an ac generator connected to an RLC series combination has a frequency of 410 Hz and an amplitude of 0.82 V;. If R =7 &Omega;, L= 9.70E-03H, and C=9.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?


 * -a) 1.176E+00 &rad;
 * +b) 1.293E+00 &rad;
 * -c) 1.422E+00 &rad;
 * -d) 1.565E+00 &rad;
 * -e) 1.721E+00 &rad;

36) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=6\times 10^{-7}\text{m}$$. What is the magnitude of the net force on $$q_2$$ if $$q_1=1e$$, $$q_2=-7e$$, and $$q_3=2e$$?


 * -a) 3.426E-15 N
 * -b) 3.768E-15 N
 * -c) 4.145E-15 N
 * -d) 4.560E-15 N
 * +e) 5.015E-15 N

37) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?


 * -a) 2.36 x 10-3 newtons
 * -b) 7.47 x 10-3 newtons
 * -c) 2.36 x 10-2 newtons
 * +d) 7.47 x 10-2 newtons
 * -e) 2.36 x 10-1 newtons

38) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 3&minus;s
 * +b) 7&minus;s
 * -c) 8
 * -d) s&minus;3
 * -e) s&minus;7

39) If you play the solitaire game 3 times, you will on average lose ___ times.
 * -a) 3
 * -b) 4
 * -c) 5
 * +d) 1
 * -e) 2

40) A 5.6 ohm resistor is connected in series to a pair of 7.2 ohm resistors that are in parallel.  What is the net resistance?


 * -a) 7 ohms.
 * -b) 8 ohms.
 * +c) 9.2 ohms.
 * -d) 10.6 ohms.
 * -e) 12.2 ohms.

41) A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?


 * -a) 1.764E+09 N/C2
 * -b) 1.941E+09 N/C2
 * +c) 2.135E+09 N/C2
 * -d) 2.348E+09 N/C2
 * -e) 2.583E+09 N/C2

42) A circlular capactitor of radius 3.6 m has a gap of 8 mm, and a charge of 53 &mu;C.  What is the electric field between the plates?


 * -a) 6.82E+04 N/C (or V/m)
 * -b) 8.27E+04 N/C (or V/m)
 * -c) 1.00E+05 N/C (or V/m)
 * -d) 1.21E+05 N/C (or V/m)
 * +e) 1.47E+05 N/C (or V/m)

43) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?


 * +a) 1.141E-05 s
 * -b) 1.255E-05 s
 * -c) 1.381E-05 s
 * -d) 1.519E-05 s
 * -e) 1.671E-05 s

44) If you put an infinite number of resistors in parallel, what would the total resistance be?
 * -a) It is not possible to connect that Number of Resistors in parallel.
 * +b) $$R_{total}$$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.
 * -c) None of these are true.
 * -d) $$R_{total}$$ would approach 1 as The No. of Resistors In parallel Approaches Infinity

45) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H_y$$ at the point (6.4963,2.0095) if a current of 6.5A flows through a wire that runs along the z axis?


 * -a) 1.33E-01 A/m
 * +b) 1.45E-01 A/m
 * -c) 1.59E-01 A/m
 * -d) 1.75E-01 A/m
 * -e) 1.92E-01 A/m

46) $$E(z)=\int_{0}^R f(r',z)dr'$$ is an integral that calculates the magnitude of the electric field at a distance $$z$$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk.  The disk's radius is $$R=2.8\text{ m}$$ and the surface charge density is $$\sigma=3\text{ nC/m}^3$$. Evaluate $$f(r',z)$$ at $$r'=1.9\text{ m}$$.


 * -a) 4.295E+00 V/m2
 * +b) 4.724E+00 V/m2
 * -c) 5.196E+00 V/m2
 * -d) 5.716E+00 V/m2
 * -e) 6.288E+00 V/m2

47) A circlular capactitor of radius 3.2 m has a gap of 19 mm, and a charge of 46 &mu;C.  Compute the surface integral  $$c^{-2}\oint\vec E\cdot d\vec A$$ over an inner face of the capacitor.


 * +a) 5.78E-11 Vs2m-1
 * -b) 7.00E-11 Vs2m-1
 * -c) 8.48E-11 Vs2m-1
 * -d) 1.03E-10 Vs2m-1
 * -e) 1.25E-10 Vs2m-1

48) This figure is associated with
 * -a) Evidence presented in 1800 that light is a wave.
 * -b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * -c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * +e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

49) What is the sum of 3.4 apples plus 62 apples?


 * -a) 4.96E+01 apples
 * -b) 5.44E+01 apples
 * -c) 5.96E+01 apples
 * +d) 6.54E+01 apples
 * -e) 7.17E+01 apples

50) H is defined by, B=&mu;0H, where B is magnetic field. A current of 42A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,4.2) to the point (4.2,4.2).


 * -a) 3.98E+00 amps
 * -b) 4.37E+00 amps
 * -c) 4.79E+00 amps
 * +d) 5.25E+00 amps
 * -e) 5.76E+00 amps

51) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 4&minus;s
 * -b) 4
 * +c) 8&minus;s
 * -d) s&minus;8
 * -e) s&minus;4

52) If the wavelength &lambda; associated with a photon doubles, the photon's frequency f
 * -a) becomes 4 times as big
 * -b) is reduced by a factor of 4
 * -c) becomes twice as big
 * -d) stays the same
 * +e) is cut in half

53) A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?
 * -a) $$\frac{7}{11}\Omega$$.
 * -b) $$\frac{11}{7}\Omega$$.
 * +c) $$\frac{21}{10}\Omega$$.
 * -d) $$\frac{10}{21}\Omega$$.

54) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * +a) lose 3 points
 * -b) win 1 point
 * -c) lose 1 point
 * -d) be disqualified for cheating
 * -e) win 3 points

55) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?
 * -a) The larger object has a greater energy.
 * -b) They have the same energy (since the holes are identical).
 * -c) The hotter object has a greater energy.
 * +d) No unique answer exists because two variables are involved (temperature and volume).

56) An object is placed 10.9 cm to the left of a diverging lens with a focal length of 16.3 cm. On the side, at a distance of 5.7 cm from the diverging lens is a converging lens with focal length equal to 4 cm.  How far is the final image from the converging lens?


 * -a) 1.88 x 100 cm
 * +b) 5.94 x 100 cm
 * -c) 1.88 x 101 cm
 * -d) 5.94 x 101 cm
 * -e) 1.88 x 102 cm

57) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * -a) 4mW
 * -b) 3mW
 * +c) 9mW
 * -d) 6mW
 * -e) 8mW

58) A washer has an inner diameter of 2.75 cm and an outer diamter of 4.62 cm. The thickness is $$h=Cr^{-n}$$ where $$r$$ is measured in cm, $$C=3.66mm$$, and $$n=2.61$$. What is the volume of the washer?


 * -a) 6.960E-01 cm3
 * -b) 7.656E-01 cm3
 * +c) 8.421E-01 cm3
 * -d) 9.264E-01 cm3
 * -e) 1.019E+00 cm3

59) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * -a) 9mW
 * +b) 3mW
 * -c) 8mW
 * -d) 6mW
 * -e) 4mW

60) Two sources of emf &epsilon;1=46.1 V, and  &epsilon;2=16.2 V are oriented as shownin the circuit. The resistances are R1=5.17 k&Omega; and  R2=2.06 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.97 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 1.309E+01 V
 * -b) 1.440E+01 V
 * +c) 1.584E+01 V
 * -d) 1.742E+01 V
 * -e) 1.917E+01 V

61) Three wires sit at the corners of a square of length 0.834 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (2.26 A, 1.75 A, 2.47 A), respectively. What is the y-component of the magnetic field at point P?


 * +a) By= 7.518E-05 T
 * -b) By= 8.270E-05 T
 * -c) By= 9.097E-05 T
 * -d) By= 1.001E-04 T
 * -e) By= 1.101E-04 T

62) A circular current loop of radius 1.63 cm carries a current of 2.38 mA. What is the magnitude of the torque if the dipole is oriented at 54 &deg; to a uniform magnetic fied of 0.125 T?


 * +a) 2.009E-07 N m
 * -b) 2.210E-07 N m
 * -c) 2.431E-07 N m
 * -d) 2.674E-07 N m
 * -e) 2.941E-07 N m

63) This figure is associated with
 * -a) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * +b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * -c) Evidence presented in 1800 that light is a wave.
 * -d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

64) A long solenoid has a radius of 0.806 m and 41 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$2 A and $$\alpha=$$21 s&minus;1.What is the induced electric fied at a distance 2.67 m from the axis at time t=0.0701 s ?


 * +a) 6.040E-05 V/m
 * -b) 6.644E-05 V/m
 * -c) 7.309E-05 V/m
 * -d) 8.039E-05 V/m
 * -e) 8.843E-05 V/m

65) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?
 * -a) None of these are true.
 * -b) $$R_{Total} = 3\Omega$$.
 * +c) $$R_{Total} = 6\Omega$$.
 * -d) $$R_{Total} = 0.5454\Omega$$.

66) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 26 turns per centimeter and the current applied to the solenoid is 533 mA, the net magnetic field is measured to be 1.31 T. What is the magnetic susceptibility for this case?


 * +a) $$\chi \text{ (chi) }=$$ 7.512E+02
 * -b) $$\chi \text{ (chi) }=$$ 8.264E+02
 * -c) $$\chi \text{ (chi) }=$$ 9.090E+02
 * -d) $$\chi \text{ (chi) }=$$ 9.999E+02
 * -e) $$\chi \text{ (chi) }=$$ 1.100E+03

67) A 162 Watt DC motor draws 0.41 amps of current. What is effective resistance?


 * -a) 5.42 x 102 &Omega;
 * -b) 6.57 x 102 &Omega;
 * -c) 7.95 x 102 &Omega;
 * +d) 9.64 x 102 &Omega;
 * -e) 1.17 x 103 &Omega;

68) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * -a) becomes twice as big
 * +b) is reduced by a factor of 4
 * -c) becomes 4 times as big
 * -d) stays the same
 * -e) is cut in half

69) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where$$\mathcal F=$$
 * -a) 1/2
 * -b) 3
 * +c) 3/2
 * -d) 2

70) An RLC series combination is driven with an applied voltage of of V=V0sin(&omega;t), where V0=0.44 V. The resistance, inductance, and capacitance are R =7 &Omega;, L= 5.40E-03H, and C=5.70E-04 F, respectively. What is the amplitude of the current?


 * -a) 4.723E-02 A
 * -b) 5.195E-02 A
 * -c) 5.714E-02 A
 * +d) 6.286E-02 A
 * -e) 6.914E-02 A

71) Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * -a) how a farsighted person might see a distant object
 * -b) how a nearsighted person might see an object that is too close for comfort
 * +c) how a nearsighted person might see a distant object
 * -d) how a farsighted person might see an object that is too close for comfort

72) What voltage is required to stop a proton moving at a speed of 1.6 x 104 m/s?


 * -a) 4 x 10-1 volts
 * -b) 5.9 x 10-1 volts
 * -c) 8.9 x 10-1 volts
 * +d) 1.3 x 100 volts
 * -e) 2 x 100 volts

73) A solenoid has 7.690E+04 turns wound around a cylinder of diameter 1.63 cm and length 11 m. The current through the coils is 0.728 A.  Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $$\int\vec B\cdot\vec\ell$$ alongthe axis from z=&minus;2.76 cm to z=+1.99 cm


 * -a) 2.762E-04 T-m
 * +b) 3.038E-04 T-m
 * -c) 3.342E-04 T-m
 * -d) 3.676E-04 T-m
 * -e) 4.043E-04 T-m

74) A long solenoid has a radius of 0.732 m and 55 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$9 A and $$\alpha=$$25 s&minus;1.What is the induced electric fied at a distance 0.203 m from the axis at time t=0.0448 s ?


 * +a) 5.150E-04 V/m
 * -b) 5.665E-04 V/m
 * -c) 6.232E-04 V/m
 * -d) 6.855E-04 V/m
 * -e) 7.540E-04 V/m

75) A power supply delivers 110 watts of power to a 299 ohm resistor.  What was the applied voltage?


 * -a) 8.42 x 101 volts
 * -b) 1.02 x 102 volts
 * -c) 1.24 x 102 volts
 * -d) 1.5 x 102 volts
 * +e) 1.81 x 102 volts

76) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?


 * -a) 0.91 J.
 * -b) 1.05 J.
 * -c) 1.21 J.
 * +d) 1.39 J.
 * -e) 1.6 J.

77) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal F=$$:
 * -a) 2
 * -b) 1/2
 * +c) 3/2
 * -d) 3
 * -e) 2/3

78) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?


 * -a) 1.57 kV/m.
 * -b) 1.8 kV/m.
 * -c) 2.07 kV/m.
 * -d) 2.38 kV/m.
 * +e) 2.74 kV/m.

79) The output of an ac generator connected to an RLC series combination has a frequency of 910 Hz and an amplitude of 0.88 V;. If R =7 &Omega;, L= 6.80E-03H, and C=9.60E-04 F, what is the impedance?


 * -a) 3.575E+01 &Omega;
 * +b) 3.933E+01 &Omega;
 * -c) 4.326E+01 &Omega;
 * -d) 4.758E+01 &Omega;
 * -e) 5.234E+01 &Omega;

80) If a 20 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=70 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.754E+00 m
 * -b) 1.929E+00 m
 * -c) 2.122E+00 m
 * -d) 2.334E+00 m
 * +e) 2.568E+00 m

81) A wire carries a current of 338 A in a circular arc with radius 2.62 cm swept through 79 degrees. Assuming that the rest of the current is 100% shielded by  mu-metal, what is the magnetic field at the center of the arc?


 * -a) 4.387E+00 Tesla
 * -b) 4.826E+00 Tesla
 * -c) 5.309E+00 Tesla
 * +d) 5.839E+00 Tesla
 * -e) 6.423E+00 Tesla

82) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * -a) 6mW
 * -b) 8mW
 * +c) 9mW
 * -d) 3mW
 * -e) 4mW

83) What is the radiation pressure on an object that is 2.20E+11 m away from the sun and has cross-sectional area of 0.082 m2? The average power output of the Sun is 3.80E+26 W.


 * -a) 3.131E-06 N/m2
 * -b) 3.445E-06 N/m2
 * -c) 3.789E-06 N/m2
 * +d) 4.168E-06 N/m2
 * -e) 4.585E-06 N/m2

84) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * -a) $$\tfrac 1 2$$
 * -b) $$\tfrac 3 4$$
 * -c) $$\tfrac 1 \sqrt 2$$
 * +d) $$\tfrac \sqrt 3 2$$
 * -e) $$ \tfrac 1 4$$

85) A 12.0 V battery can move 38,000 C of charge. How many Joules does it deliver?


 * -a) 3.115E+05 J
 * -b) 3.426E+05 J
 * -c) 3.769E+05 J
 * -d) 4.145E+05 J
 * +e) 4.560E+05 J

86) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * -a) 0
 * -b) 3/4
 * -c) 1/4
 * +d) 5/4
 * -e) 1
 * -f) 1/2

87) Which lens has the shorter focal length?
 * -a) Ray drawing eye schematic01.svg
 * -b) They have the same focal lengh.
 * +c) Ray_drawing_eye_schematic.svg

88) An alpha-particle (m=6.64x10&minus;27kg, q=3.2x10&minus;19C) briefly enters a uniform magnetic field of magnitude 0.0454 T . It emerges after being deflected by 74&deg; from its original direction. How much time did it spend in that magnetic field?


 * -a) 4.878E-07 s
 * -b) 5.366E-07 s
 * +c) 5.903E-07 s
 * -d) 6.493E-07 s
 * -e) 7.143E-07 s

89) $$E_z(x=0,z)=\int_{-a}^b f(x,z)dx$$ is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m.  Evaluate $$f(x,y)$$ at x=0.79 m if a=0.75 m, b=2.1 m.  The total charge on the rod is 6 nC.


 * +a) 5.825E+00 V/m2
 * -b) 6.407E+00 V/m2
 * -c) 7.048E+00 V/m2
 * -d) 7.753E+00 V/m2
 * -e) 8.528E+00 V/m2

90) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$
 * -a) s&minus;7
 * +b) 7&minus;s
 * -c) 3
 * -d) s&minus;3
 * -e) 3&minus;s

91) 3 amps flow through a 1 Ohm resistor. What is the voltage?
 * -a) $$1V$$
 * -b) $$\frac{1}{3}V$$
 * +c) $$3V$$
 * -d) None these are correct.

92) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?
 * +a) The object with the greater temperature emits more.
 * -b) The object with the greater volume.
 * -c) No unique answer exists because two variables are involved (temperature and volume).
 * -d) They both emit the same number of photons (since the holes are identical).

93) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * -a) zero
 * -b) greater than 3 eV
 * -c) equal to 6 eV
 * +d) less than 3 eV
 * -e) equal to 3 eV

94) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?
 * +a) Voltage is a measure of Electric Potential difference between two electrical points.
 * -b) The other point could be Negative or positive.
 * -c) It's an Electrical Cliche.
 * -d) None these are correct

95) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.
 * -a) true
 * +b) false

96) A given battery has a 12 V emf and an internal resistance of 0.0984 &Omega;. If it is connected to a 0.485 &Omega; resistor what is the power dissipated by that load?


 * +a) 2.052E+02 W
 * -b) 2.257E+02 W
 * -c) 2.483E+02 W
 * -d) 2.731E+02 W
 * -e) 3.004E+02 W

97) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?
 * -a) None of these are true.
 * -b) $$R_1 = 150V$$ and $$R_2 = 100V$$.
 * -c) $$R_1 = 250V$$ and $$R_2 = 0V$$.
 * +d) $$R_1 = 125V$$ and $$R_2 = 125V$$.

98) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * -a) $$2R\varepsilon_0 E=  r^2\rho $$
 * -b) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * +c) $$2\varepsilon_0 E = r\rho $$
 * -d) $$2r\varepsilon_0 E = R^2\rho $$
 * -e) none of these are correct

99) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * -a) none of these are correct
 * -b) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -c) $$2R\varepsilon_0 E=  r^2\rho $$
 * -d) $$2\varepsilon_0 E = r\rho $$
 * +e) $$2r\varepsilon_0 E = R^2\rho $$

100) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * -a) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * -b) none of these are correct
 * -c) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * +d) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * -e) $$ r^2\varepsilon_0 E=r^3\rho /2$$

101) Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.)  The charges are q1=3 &mu;C, q2=6 &mu;C, q3=7 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 4.438E+01 J
 * +b) 4.882E+01 J
 * -c) 5.370E+01 J
 * -d) 5.907E+01 J
 * -e) 6.498E+01 J

102) Calculate the quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * -a) +1
 * -b) 0
 * -c) &minus;1/5
 * +d) +1/5
 * -e) &minus;2/5
 * -f) +2/5

103) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.5 m, z=z0=1.7 m, and z=z1=5.1 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 9.9m2 ,and those in the zx plane have area 7.8m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 58&deg; above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * -a) 1.698E+01 N&middot;m2/C
 * -b) 1.868E+01 N&middot;m2/C
 * -c) 2.055E+01 N&middot;m2/C
 * -d) 2.260E+01 N&middot;m2/C
 * +e) 2.486E+01 N&middot;m2/C

104) An ideal 7.9 V voltage source is connected to two resistors in parallel.  One is 2.4$$k\Omega$$, and the other is 5.2 $$k\Omega$$.  What is the current through the larger resistor?


 * -a) 0.68 mA.
 * -b) 0.79 mA.
 * -c) 0.9 mA.
 * +d) 1.04 mA.
 * -e) 1.2 mA.

105) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 3/16
 * -b) 1/16
 * +c) 3/32
 * -d) 1/32
 * -e) 1/8

106) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * +a) circular or elliptical
 * -b) linearly
 * -c) linear or elliptical
 * -d) circular
 * -e) circular or linear

107) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * +a) 9 &minus; s
 * -b) 2
 * -c) s &minus; 2
 * -d) 2 &minus; s
 * -e) s &minus; 9

108) A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?
 * +a) I = 5A &  P = 25W.
 * -b) I = 5A &  P = 3W.
 * -c) I = 5A &  P = 9W
 * -d) I = 5A &  P = 5W.

109) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * -a) 1/2
 * -b) 0
 * -c) 3/4
 * -d) 5/4
 * -e) 1
 * +f) 1/4

110) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * -a) 1/4
 * -b) 1
 * -c) 3/4
 * +d) 1/2
 * -e) 0

111) The diameter of a copper wire is 1.9 mm, and it carries a current of 33 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m3 and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)


 * -a) 5.93 x 10-4m/s
 * -b) 7.19 x 10-4m/s
 * +c) 8.71 x 10-4m/s
 * -d) 1.06 x 10-3m/s
 * -e) 1.28 x 10-3m/s

112) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.32 kA, I2=2.0 kA, and I3=3.66 kA, take the $$\beta$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * -a) 1.724E-03 T-m
 * -b) 1.896E-03 T-m
 * +c) 2.086E-03 T-m
 * -d) 2.295E-03 T-m
 * -e) 2.524E-03 T-m

113) A cylinder of radius, r=3, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.37+2.6z)\rho^2\hat\rho +8.84z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{side}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the curved side surface of the cylinder.


 * -a) 7.465E+02
 * -b) 9.044E+02
 * -c) 1.096E+03
 * -d) 1.327E+03
 * +e) 1.608E+03

114) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * -a) 3/4
 * +b) 1/4
 * -c) 0
 * -d) 1
 * -e) 1/2

115) Calculate the electric field in a 12-gauge copper wire that is 26 m long and carries a current of 24 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * -a) 9.152E-05 V/m
 * -b) 1.007E-04 V/m
 * -c) 1.107E-04 V/m
 * +d) 1.218E-04 V/m
 * -e) 1.340E-04 V/m

116) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.05+2.05z)\rho^2\hat\rho +9.62z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\oint\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the entire surface of the cylinder.


 * -a) 1.09E+03
 * -b) 1.32E+03
 * -c) 1.60E+03
 * -d) 1.94E+03
 * +e) 2.35E+03

117) A make-believe metal has a density of 2.670E+03 kg/m3 and an atomic mass of 40.9 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.


 * +a) 3.930E+28 e&minus;/m3
 * -b) 4.323E+28 e&minus;/m3
 * -c) 4.755E+28 e&minus;/m3
 * -d) 5.231E+28 e&minus;/m3
 * -e) 5.754E+28 e&minus;/m3

118) A circlular capactitor of radius 3.6 m has a gap of 19 mm, and a charge of 98 &mu;C.  The capacitor is discharged through a  6 k&Omega; resistor.  What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)


 * -a) 1.90E-08 Tesla
 * -b) 2.40E-08 Tesla
 * -c) 3.02E-08 Tesla
 * -d) 3.80E-08 Tesla
 * +e) 4.78E-08 Tesla

119) The focal point is where
 * -a) rays meet whenever they are forming an image
 * -b) rays meet whenever they pass through a lens
 * -c) the center of the lens
 * -d) rays meet if they are parallel to each other
 * +e) rays meet if they were parallel to the optical axis before striking a lens

120) An electron gun has parallel plates separated by 3.68 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.181 &mu;C charge that gets between the plates?


 * +a) 2.656E-01 N
 * -b) 2.922E-01 N
 * -c) 3.214E-01 N
 * -d) 3.535E-01 N
 * -e) 3.889E-01 N

121) A 727 mF capacitor is connected in series to a 860 M&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)


 * +a) 1.88 x 109 s.
 * -b) 5.93 x 109 s.
 * -c) 1.88 x 1010 s.
 * -d) 5.93 x 1010 s.
 * -e) 1.88 x 1011 s.

122) When a 7.1 V battery operates a 1.8 W bulb, how many electrons pass through it each second?


 * -a) 1.439E+18 electrons
 * +b) 1.582E+18 electrons
 * -c) 1.741E+18 electrons
 * -d) 1.915E+18 electrons
 * -e) 2.106E+18 electrons

123) A parallel plate capacitor with a capicatnce C=9.40E-06 F whose plates have an area A=5.00E+03 m2 and separation d=4.70E-03 m is connected via a swith to a 62 &Omega; resistor and a battery of voltage V0=65 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=9.70E-04?


 * +a) 1.985E-01 A
 * -b) 2.183E-01 A
 * -c) 2.401E-01 A
 * -d) 2.642E-01 A
 * -e) 2.906E-01 A

124) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.706 m. The magnetic field is spatially uniform but decays in time according to $$(3.01)e^{-\alpha t}$$, where $$\alpha=$$9.53 s. What is the current in the coil if the impedance of the coil is 27.4 &Omega;?


 * -a) 6.149E-01 A
 * -b) 6.763E-01 A
 * -c) 7.440E-01 A
 * +d) 8.184E-01 A
 * -e) 9.002E-01 A

125) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy
 * -a) increases by 4 eV
 * -b) increases by 2 eV
 * +c) decreases by 4 eV
 * -d) decreases by 2 eV
 * -e) stays the same

126) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * -a) 0
 * -b) 1/2
 * +c) 1
 * -d) 1/4
 * -e) 3/4

127) A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?
 * -a) 3A
 * +b) 2A
 * -c) 12A
 * -d) 1.5A

128) An induced emf of 4.13V is measured across a coil of 70 closely wound turns while the current throuth it increases uniformly from 0.0 to 2.63A in 0.133s. What is the self-inductance of the coil?


 * -a) 1.726E-01 H
 * -b) 1.899E-01 H
 * +c) 2.089E-01 H
 * -d) 2.297E-01 H
 * -e) 2.527E-01 H

129) A resistor has 10 volts across it and 4 amps going through it. What is its resistance?
 * -a) $$4.5\Omega.$$
 * -b) $$3.5\Omega.$$
 * -c) None of these are true.
 * +d) $$2.5\Omega.$$

130) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal A=$$:
 * -a) 2
 * -b) 1/2
 * -c) 8
 * +d) 4

131) A parallel plate capacitor with a capicatnce C=9.80E-06 F whose plates have an area A=9.60E+03 m2 and separation d=8.70E-03 m is connected via a swith to a 23 &Omega; resistor and a battery of voltage V0=3 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=7.20E-04?


 * +a) 2.877E+00 V
 * -b) 3.165E+00 V
 * -c) 3.481E+00 V
 * -d) 3.829E+00 V
 * -e) 4.212E+00 V

132) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal.  To counter the magnetic force, a voltage is applied between two large parallel plates that are 59  mm apart.  What must be the applied voltage if the magnetic field is 45&mu;T?


 * -a) 1.1 x 100 volts
 * -b) 3.6 x 100 volts
 * -c) 1.1 x 101 volts
 * +d) 3.6 x 101 volts
 * -e) 1.1 x 102 volts

133)  Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * -a) how a farsighted person might see a distant object
 * -b) how a nearsighted person might see a distant object
 * +c) how a farsighted person might see an object that is too close for comfort
 * -d) how a nearsighted person might see an object that is too close for comfort

134) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal B=$$
 * -a) 3
 * -b) &minus;3
 * -c) &minus;7
 * +d) 2
 * -e) &minus;3

135) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * +a) $$\tfrac 1 \sqrt 2$$
 * -b) $$1$$
 * -c) $$\sqrt 2$$
 * -d) $$2\sqrt 2$$
 * -e) $$\tfrac 1 2$$

136) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 3/4
 * -b) 3/5
 * -c) 2/4=1/2
 * -d) 5/6
 * +e) 2/5

137) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=5), and (x=7, y=5), where x and y are measured in meters. The electric field is, $$\vec E=1y^{2.4}\hat i +4x^{1.7}\hat j +4y^{2.1}\hat k$$


 * -a) 1.206E+03 V&middot;m
 * +b) 1.326E+03 V&middot;m
 * -c) 1.459E+03 V&middot;m
 * -d) 1.605E+03 V&middot;m
 * -e) 1.765E+03 V&middot;m

138) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H$$ at a distance of 4.2m from a wire carrying a current of 4.9A?


 * -a) 1.28E-01 A/m
 * -b) 1.41E-01 A/m
 * -c) 1.54E-01 A/m
 * -d) 1.69E-01 A/m
 * +e) 1.86E-01 A/m

139) Under most conditions the current is distributed uniformly over the cross section of the wire.  What is the magnetic field 1.51 mm from the center of a wire of radius 5 mm if the current is 1A?


 * -a) 1.098E-05 T
 * +b) 1.208E-05 T
 * -c) 1.329E-05 T
 * -d) 1.462E-05 T
 * -e) 1.608E-05 T

140) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * -a) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * +b) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * -c) none of these are correct
 * -d) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * -e) $$ r^2\varepsilon_0 E= r^3\rho/3$$

141) A parallel plate capacitor with a capicatnce C=4.30E-06 F whose plates have an area A=2.80E+03 m2 and separation d=5.70E-03 m is connected via a swith to a 7 &Omega; resistor and a battery of voltage V0=97 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=7.00E-05?


 * -a) 1.049E+04 V/m
 * -b) 1.154E+04 V/m
 * -c) 1.269E+04 V/m
 * -d) 1.396E+04 V/m
 * +e) 1.535E+04 V/m

142) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73&deg; away from the wire?


 * +a) 3.575E+00 N/m
 * -b) 3.932E+00 N/m
 * -c) 4.325E+00 N/m
 * -d) 4.758E+00 N/m
 * -e) 5.234E+00 N/m

143) The resistances in the figure shown are R1= 2.73 &Omega;, R2= 1.4 &Omega;, and R2= 2.35 &Omega;. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.584 V. What is the absolute value of the current through R1?


 * -a) 1.213E-01 A
 * -b) 1.334E-01 A
 * -c) 1.468E-01 A
 * +d) 1.614E-01 A
 * -e) 1.776E-01 A

144) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=   \rho z $$
 * -b) $$\varepsilon_0 E=  H\rho $$
 * -c) none of these are correct
 * +d) $$\varepsilon_0 E = H\rho /2$$
 * -e) $$\varepsilon_0 E=  H\rho z$$

145) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) s&minus;1
 * +b) 5
 * -c) 5&minus;s
 * -d) 1&minus;s
 * -e) s&minus;4

146) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 6.5 nano-Coulombs. What is the magnitude of the electric field at a distance of 1.3 m from the center of the shells?


 * -a) 2.601E+01 N/C
 * -b) 2.861E+01 N/C
 * -c) 3.147E+01 N/C
 * +d) 3.462E+01 N/C
 * -e) 3.808E+01 N/C

147) When light passes from glass to air
 * -a) it does not bend
 * -b) the frequency increases
 * -c) it bends towards the normal
 * -d) the frequency decreases
 * +e) it bends away from the normal

148) What is the net capacitance if C1=3.13 &mu;F, C2=2.28 &mu;F, and C3=2.59 &mu;F in the configuration shown?


 * -a) 3.231E+00 &mu;F
 * -b) 3.554E+00 &mu;F
 * +c) 3.909E+00 &mu;F
 * -d) 4.300E+00 &mu;F
 * -e) 4.730E+00 &mu;F

149) When light passes from air to glass
 * +a) it bends towards the normal
 * -b) it bends away from the normal
 * -c) it does not bend
 * -d) the frequency decreases
 * -e) the frequency increases

150) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * +a) decreases by 4 eV
 * -b) increases by 2 eV
 * -c) decreases by 2 eV
 * -d) stays the same
 * -e) increases by 4 eV

151) Three resistors, R1 = 0.548 &Omega;, and R2 = R2 = 1.24 &Omega;, are connected in parallel to a 7.16 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 7.029E+01 W
 * -b) 7.731E+01 W
 * -c) 8.505E+01 W
 * +d) 9.355E+01 W
 * -e) 1.029E+02 W

152) Two 6.2 ohm resistors are connected in parallel.  This combination is then connected in series to a 3.4 ohm resistor.  What is the net resistance?


 * +a) 6.5 ohms.
 * -b) 7.5 ohms.
 * -c) 8.6 ohms.
 * -d) 9.9 ohms.
 * -e) 11.4 ohms.

153) An ideal 7.5 volt battery is connected to a 0.06 ohm resistor.  To measure the current an ammeter with a resistance of 19$$m\Omega$$ is used.  What current does the ammeter actually read?


 * -a) 54.3 A.
 * -b) 62.4 A.
 * -c) 71.8 A.
 * -d) 82.6 A.
 * +e) 94.9 A.

154) Two loops of wire carry the same current of 64 kA, and flow in the same direction. They share a common axis and orientation.  One loop has a radius of 0.838 m while the other has a radius of 1.17 m.  What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.528 m from the first (smaller) loopif the disance between the loops is 1.62 m?


 * -a) 3.863E-02 T
 * +b) 4.249E-02 T
 * -c) 4.674E-02 T
 * -d) 5.141E-02 T
 * -e) 5.655E-02 T

155) Three 1 ohm resistors are connected in parallel. What is the total resistance?
 * -a) $$\frac{3}{2}\Omega$$.
 * -b) $$ 3\Omega$$.
 * +c) $$\frac{1}{3}\Omega$$.
 * -d) $$\frac{2}{3}\Omega$$.

156) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it passes?
 * -a) 3/4
 * +b) 0
 * -c) 1/2
 * -d) 1
 * -e) 1/4

157) An object is placed 8.6 cm to the left of a diverging lens with a focal length of 6.3 cm. How far is the image from the lens?


 * -a) 3.64 x 10-1 cm
 * -b) 6.47 x 10-1 cm
 * -c) 1.15 x 100 cm
 * -d) 2.04 x 100 cm
 * +e) 3.64 x 100 cm

158) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.


 * -a) 1.698E+06 m/s
 * -b) 1.868E+06 m/s
 * +c) 2.055E+06 m/s
 * -d) 2.260E+06 m/s
 * -e) 2.486E+06 m/s

159) A device requires consumes 73 W of power and requires 9.14 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.


 * -a) 1.187E+06 A/m2
 * -b) 1.306E+06 A/m2
 * -c) 1.436E+06 A/m2
 * -d) 1.580E+06 A/m2
 * +e) 1.738E+06 A/m2

160) To create an unpolarized pendulum oscillation
 * -a) create an elliptically polarized wave with an &epsilon;>0.2
 * -b) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * -c) create an elliptically polarized wave with an &epsilon;<0.8
 * +d) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations

161) Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.75 &Omega; at a temperature of 24&deg;C and that the temperature coefficient of expansion is 4.300E-03 (&deg;C)&minus;1). What is the resistance at a temperature of 423 &deg;C?


 * +a) 1.018E+01 &Omega;
 * -b) 1.069E+01 &Omega;
 * -c) 1.123E+01 &Omega;
 * -d) 1.179E+01 &Omega;
 * -e) 1.238E+01 &Omega;

162) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * -a) 1/4
 * -b) 3/4
 * -c) 0
 * +d) 1/2
 * -e) 1

163) A circlular capactitor of radius 4.3 m has a gap of 13 mm, and a charge of 44 &mu;C.  The capacitor is discharged through a  9 k&Omega; resistor.  What is the decay time?


 * -a) 2.00E-04 s
 * -b) 2.43E-04 s
 * -c) 2.94E-04 s
 * +d) 3.56E-04 s
 * -e) 4.31E-04 s

164) A 65 &mu;F capacitor is connected in series to a 414 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 1.08 x 101 s.
 * -b) 3.4 x 101 s.
 * +c) 1.08 x 102 s.
 * -d) 3.4 x 102 s.
 * -e) 1.08 x 103 s.

165) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * +a) win 1 point
 * -b) be disqualified for cheating
 * -c) win 3 points
 * -d) lose 1 point
 * -e) lose 3 points

166) Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =6.45 s if &epsilon; = 7.01 V, R = 7.04 &Omega;, and L = 8.75 H?


 * +a) 9.902E-01 V
 * -b) 1.188E+00 V
 * -c) 1.426E+00 V
 * -d) 1.711E+00 V
 * -e) 2.053E+00 V

167) What is the current through R1 and R2 in the figure shown?
 * -a) $$I_1 = 10A$$ and $$I_2 = 16.67A$$.
 * +b) $$I_1 = 1A$$ and $$I_2 = 1.667A$$.
 * -c) $$I_1 = 0.1A$$ and $$I_2 = 0.1667A$$.
 * -d) $$I_1 = 1A$$ and $$I_2 = 25A$$.

168) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following loses?
 * -a) none of these are true
 * -b) K and K&spades;
 * -c) K&spades; and K&clubs;
 * -d) two of these are true
 * +e) K and K&clubs;

169) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * -a) $$ \tfrac 1 4$$
 * -b) $$\tfrac \sqrt 3 2$$
 * +c) $$\tfrac 1 2$$
 * -d) $$\tfrac 1 \sqrt 2$$
 * -e) $$\tfrac 3 4$$

170) A square coil has sides that are L= 0.458 m long and is tightly wound with N=742 turns of wire. The resistance of the coil is R=6.81 &Omega;. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0559 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?


 * -a) 1.056E+00 A
 * -b) 1.161E+00 A
 * +c) 1.278E+00 A
 * -d) 1.405E+00 A
 * -e) 1.546E+00 A

171) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?
 * -a) $$\frac{7}{10}\Omega$$.
 * -b) $$\frac{6}{10}\Omega$$.
 * -c) $$\frac{10}{6}\Omega$$.
 * +d) $$\frac{10}{7}\Omega$$.

172) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * -a) K&spades; and K&clubs;
 * -b) K and K&spades;
 * -c) K and K&clubs;
 * +d) two of these are true
 * -e) none of these are true

173) An ac generator produces an emf of amplitude 32 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a  14 mF capacitor?


 * +a) 3.378E-01 A
 * -b) 3.716E-01 A
 * -c) 4.087E-01 A
 * -d) 4.496E-01 A
 * -e) 4.945E-01 A

174) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * -a) 4mW
 * -b) 8mW
 * -c) 9mW
 * -d) 3mW
 * +e) 6mW

175) A cyclotron used to accelerate alpha particlesm=6.64 x 10&minus;27kg, q=3.2 x 10&minus;19C) has a radius of 0.388 m and a magneticfield of 1.19 T. What is their maximum kinetic energy?


 * -a) 8.491E+00 MeV
 * -b) 9.340E+00 MeV
 * +c) 1.027E+01 MeV
 * -d) 1.130E+01 MeV
 * -e) 1.243E+01 MeV

176) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?
 * -a) $$\frac{6}{3}\Omega$$.
 * -b) $$\frac{11}{6}\Omega$$.
 * +c) $$\frac{6}{11}\Omega$$.
 * -d) $$\frac{3}{6}\Omega$$.

177) A photon is polarized at 5&deg; when it encounters a filter oriented at 35&deg;. What is the probability that it passes?
 * -a) 1
 * +b) 3/4
 * -c) 1/4
 * -d) 0
 * -e) 1/2

178) H is defined by, B=&mu;0H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point ( - 7.4, 7.4) to the point (7.4, 7.4).


 * -a) 1.69E+01 amps
 * +b) 1.85E+01 amps
 * -c) 2.03E+01 amps
 * -d) 2.22E+01 amps
 * -e) 2.44E+01 amps

179) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 60&deg; to that field?
 * -a) $$\tfrac \sqrt 3 2$$
 * +b) $$\tfrac 1 2$$
 * -c) $$\tfrac 1 \sqrt 2$$
 * -d) $$\tfrac 3 4$$
 * -e) $$\tfrac 1 4$$

180) This figure is associated with
 * -a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -c) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * -d) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * +e) Evidence presented in 1800 that light is a wave.

181) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * -a) They have the same energy density (since the holes are identical).
 * +b) The hotter object has a greater energy density.
 * -c) No unique answer exists because two variables are involved (temperature and volume).
 * -d) The larger object has a greater energy density.

182) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is  1.53mm.  Applied to the plates is a potential difference of 2.55 kV.  What is the capacitance?


 * +a) 8.39 nF.
 * -b) 9.65 nF.
 * -c) 11.1 nF.
 * -d) 12.76 nF.
 * -e) 14.68 nF.

183) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
 * -a) 0
 * -b) 3/4
 * -c) 5/4
 * -d) 1/2
 * -e) 1/4
 * +f) 1

184) A very long and thin solenoid has 1946 turns and is 144 meters long. The wire carrys a current of 9A. What is the magnetic field in the center?


 * -a) 1.06E-04 Tesla
 * -b) 1.16E-04 Tesla
 * -c) 1.27E-04 Tesla
 * -d) 1.39E-04 Tesla
 * +e) 1.53E-04 Tesla

185) What is the magnitude of the electric field at the origin if a 2.1 nC charge is placed at x = 7 m, and a 2.1 nC charge is placed at y = 8.6 m?


 * -a) 3 x 10-1N/C
 * -b) 3.47 x 10-1N/C
 * -c) 4 x 10-1N/C
 * +d) 4.62 x 10-1N/C
 * -e) 5.34 x 10-1N/C

186) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * -a) 72 + (8&minus;s)2
 * +b) (7-s)2 + 82
 * -c) 72 + (3&minus;s)2
 * -d) 32 + 82
 * -e) 72 + 82

187) If you play the solitaire game 3 times, you will on average win ___ times.
 * -a) 5
 * -b) 1
 * +c) 2
 * -d) 4
 * -e) 3

188) A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed?
 * -a) 11.67 Joules
 * -b) 2.5 Watts
 * -c) None of these are ture.
 * +d) 1.67 Watts

189) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * -a) both can be created
 * -b) electromagnetic
 * -c) pendulum
 * +d) electromagnetic or pendulum

190) Amphere's law for magnetostatic currents is that $$\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$$ equals the current enclosed by the closed loop, and $$B=\mu_0H$$ is the magnetic field. A current of 6.9A flows upward along the z axis. Noting that for this geometry, $$\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$$, calculate the line integral $$\oint d\ell$$ for a circle of radius 4.4m.


 * -a) 2.10E+01 m
 * -b) 2.30E+01 m
 * -c) 2.52E+01 m
 * +d) 2.76E+01 m
 * -e) 3.03E+01 m

191) An electron beam (m=9.1 x 10&minus;31kg, q=1.6 x 10&minus;19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.15 mT and 4.440E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?


 * +a) 1.070E+06 m/s
 * -b) 1.177E+06 m/s
 * -c) 1.295E+06 m/s
 * -d) 1.424E+06 m/s
 * -e) 1.566E+06 m/s

192) A non-conducting sphere of radius R=2.9 m has a non-uniform charge density that varies with the distnce from its center as given by &rho;(r)=ar1.5 (r&le;R) where a=3 nC&middot;m-1.5. What is the magnitude of the electric field at a distance of 1.7 m from the center?


 * -a) 2.579E+02 N/C
 * +b) 2.837E+02 N/C
 * -c) 3.121E+02 N/C
 * -d) 3.433E+02 N/C
 * -e) 3.776E+02 N/C

193) An object is placed 4.65 cm to the left of a converging lens with a focal length of 6.2 cm. How far is the image from the lens?


 * -a) 1.86 x 100 cm
 * -b) 3.31 x 100 cm
 * -c) 5.88 x 100 cm
 * -d) 1.05 x 101 cm
 * +e) 1.86 x 101 cm

194) What is the radiation force on an object that is 1.20E+11 m away from the sun and has cross-sectional area of 0.055 m2? The average power output of the Sun is 3.80E+26 W.


 * -a) 5.263E-07 N
 * -b) 5.789E-07 N
 * -c) 6.368E-07 N
 * -d) 7.005E-07 N
 * +e) 7.705E-07 N

195) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?
 * -a) None of these are true
 * -b) 3 Joules
 * +c) 25 Joules
 * -d) 5 Joules

196) This figure is associated with
 * +a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -c) Evidence presented in 1800 that light is a wave.
 * -d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * -e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

197) An empty parallel-plate capacitor with metal plates has an area of 2.02 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.170E+03 V?


 * -a) 2.450E+01 &mu;C
 * +b) 2.695E+01 &mu;C
 * -c) 2.965E+01 &mu;C
 * -d) 3.261E+01 &mu;C
 * -e) 3.587E+01 &mu;C

198) An important principle that allows fiber optics to work is
 * -a) partial internal absorption
 * -b) the invariance of the speed of light
 * -c) the Doppler shift
 * +d) total internal reflection
 * -e) total external refraction

199) What angle does the electric field at the origin make with the x-axis if a 2.9 nC charge is placed at x = -6.3 m, and a 2.1  nC charge is placed at y = -8.8 m?


 * -a) 1.32 x 101degrees
 * -b) 1.53 x 101degrees
 * -c) 1.76 x 101degrees
 * +d) 2.04 x 101degrees
 * -e) 2.35 x 101degrees

200) Calculate the drift speed of electrons in a copper wire with a diameter of 5.46 mm carrying a 8.19 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.


 * -a) 2.380E-05 m/s
 * +b) 2.618E-05 m/s
 * -c) 2.880E-05 m/s
 * -d) 3.168E-05 m/s
 * -e) 3.485E-05 m/s

201) What is the current through R1, R2, R3, and R4 in the figure shown?
 * -a) $$I_1 = 0.25A$$; $$I_2 = 0.33A$$; $$I_3 = 0.5A$$; $$I_4 = 0.1A$$.
 * -b) $$I_1 = 10A$$; $$I_2 = 50A$$; $$I_3 = 33A$$; $$I_4 = 25A$$..
 * +c) $$I_1 = 1A$$; $$I_2 = 0.5A$$; $$I_3 = 0.33A$$; $$I_4 = 0.25A$$.
 * -d) $$I_1 = 1A$$; $$I_2 = 5A$$; $$I_3 = 3.3A$$; $$I_4 = 2.5A$$.

202) A very long and thin solenoid has 1259 turns and is 156 meters long. The wire carrys a current of 8.9A. If this solenoid is sufficiently thin, what is the line integral of$$\int \vec H\cdot\vec{d\ell}$$ along an on-axis path that starts 35 meters from the center and stops 90 meters from the center?


 * -a) 2.82E+03 A
 * +b) 3.09E+03 A
 * -c) 3.39E+03 A
 * -d) 3.71E+03 A
 * -e) 4.07E+03 A

203) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * +a) perpendicular
 * -b) parallel
 * -c) at 45 degrees
 * -d) all of these are possible

204) A 819 mF capacitor is connected in series to a 798 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 8.27 x 105 s.
 * +b) 2.61 x 106 s.
 * -c) 8.27 x 106 s.
 * -d) 2.61 x 107 s.
 * -e) 8.27 x 107 s.

205) An alpha-particle (q=3.2x10&minus;19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.69 T. What is the  x-component of the force on the alpha-particle if it is moving with a velocity (8.9 i + 4.27 j  + 7.52 k) x 104 m/s?


 * -a) 5.296E-14 N
 * -b) 5.826E-14 N
 * +c) 6.408E-14 N
 * -d) 7.049E-14 N
 * -e) 7.754E-14 N

206) H is defined by, B=&mu;0H, where B is magnetic field. A current of 37A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,8.4) to the point (8.4,0).


 * -a) 8.44E+00 amps
 * +b) 9.25E+00 amps
 * -c) 1.01E+01 amps
 * -d) 1.11E+01 amps
 * -e) 1.22E+01 amps

207) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$\sqrt 2$$ what is the length of each side?
 * -a) $$2\sqrt 2$$
 * -b) $$\tfrac 1 2$$
 * -c) $$\tfrac 1 \sqrt 2$$
 * -d) $$1$$
 * +e) $$\sqrt 2$$

208) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.2 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=4.3 m, z=z0=1.5 m, and z=z1=4.7 m. The surfaces in the yz plane each have area 8.3m2. Those in the xy plane have area 5.7m2 ,and those in the zx plane have area 7.0m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 28&deg; from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * -a) 5.408E+01 N&middot;m2/C
 * +b) 5.949E+01 N&middot;m2/C
 * -c) 6.544E+01 N&middot;m2/C
 * -d) 7.198E+01 N&middot;m2/C
 * -e) 7.918E+01 N&middot;m2/C

209) A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?
 * -a) 2V.
 * -b) 15V.
 * +c) 0.5V.
 * -d) 10V.

210) If you play the solitaire game 6 times, you will on average win ___ times.
 * +a) 4
 * -b) 3
 * -c) 5
 * -d) 2
 * -e) 6

211) The charge passing a plane intersecting a wire is $$Q_M=\left(1-e^{t/\tau}\right)$$, where $$Q_M$$=24 C  and $$\tau=$$0.0248 s. What is the current at $$t=$$0.0122 s?


 * -a) 4.042E+02 A
 * -b) 4.446E+02 A
 * -c) 4.890E+02 A
 * -d) 5.379E+02 A
 * +e) 5.917E+02 A

212) A 10 F capacitor is connected in series to a 10&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 4 x 100 s.
 * -b) 1.26 x 101 s.
 * -c) 4 x 101 s.
 * -d) 1.26 x 102 s.
 * +e) 4 x 102 s.

213) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?
 * -a) deflecting the electron with a magnetic field
 * -b) measuring spin
 * -c) measuring both spin and polarization
 * -d) measuring polarization
 * +e) stopping the electron with an applied voltage

214) A battery with a terminal voltage of 8.41 V is connected to a circuit consisting of 3 16.1 &Omega; resistors and one 10.9 &Omega; resistor. What is the voltage drop across the 10.9 &Omega; resistor?


 * -a) 1.058E+00 V
 * -b) 1.163E+00 V
 * -c) 1.280E+00 V
 * -d) 1.408E+00 V
 * +e) 1.548E+00 V

215) Two sources of emf &epsilon;1=30.6 V, and  &epsilon;2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.46 k&Omega; and  R2=2.77 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=1.97 mA and I4=0.643 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 4.986E+00 V
 * -b) 5.484E+00 V
 * -c) 6.033E+00 V
 * -d) 6.636E+00 V
 * +e) 7.299E+00 V

216) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * +a) 7/5
 * -b) 6/5
 * -c) 5/6
 * -d) 4/5
 * -e) 5/4

217) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
 * -a) 3/4
 * -b) 1/4
 * +c) 1/2
 * -d) 0
 * -e) 1
 * -f) 5/4

218) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at  (x,y) =( 6a, 4a) is &beta;kQ/a2, where &beta; equals


 * -a) 1.33 x 10-3 unit
 * -b) 1.61 x 10-3 unit
 * -c) 1.95 x 10-3 unit
 * -d) 2.37 x 10-3 unit
 * +e) 2.87 x 10-3 unit

219) A DC winch moter draws 20 amps at 175 volts as it lifts a 5.180E+03 N weight at a constant speed of 0.541 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.


 * +a) 1.744E+00 &Omega;
 * -b) 1.918E+00 &Omega;
 * -c) 2.110E+00 &Omega;
 * -d) 2.321E+00 &Omega;
 * -e) 2.553E+00 &Omega;

220) Calculate the resistance of a 12-gauge copper wire that is 45 m long and carries a current of 51 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * -a) 1.716E-01 &Omega;
 * -b) 1.888E-01 &Omega;
 * -c) 2.076E-01 &Omega;
 * +d) 2.284E-01 &Omega;
 * -e) 2.512E-01 &Omega;

221) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 &mu;T. The kinetic energy is 437 keV.  What is the radius of particle's orbit?


 * -a) 1.3 x 102 m.
 * -b) 4.1 x 102 m.
 * -c) 1.3 x 103 m.
 * -d) 4.1 x 103 m.
 * +e) 1.3 x 104 m.

222) A photon is polarized at 5&deg; when it encounters a filter oriented at 65&deg;. What is the probability that it is blocked?
 * -a) 0
 * -b) 1
 * +c) 1/4
 * -d) 3/4
 * -e) 1/2

223) A 72 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 14 g, and the magnitude of the magnetic field is 0.54 T. What current is required to maintain this balance?


 * -a) 2.651E-01 A
 * -b) 2.916E-01 A
 * -c) 3.208E-01 A
 * +d) 3.529E-01 A
 * -e) 3.882E-01 A

224) Assume that a 4 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and  P2 where the polar coordinates (r,&phi;) of  P1 are  (5 cm, 0&deg;) and  P2 is at (15 cm, 59&deg;).


 * -a) 3.961E+02 V
 * -b) 4.358E+02 V
 * +c) 4.793E+02 V
 * -d) 5.273E+02 V
 * -e) 5.800E+02 V

225) In an LC circuit, the self-inductance is 0.0116 H and the capacitance is 7.040E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.140E-05 C. How long does it take for the capacitor to become completely discharged?


 * +a) 4.489E-04 s
 * -b) 4.938E-04 s
 * -c) 5.432E-04 s
 * -d) 5.975E-04 s
 * -e) 6.572E-04 s

226) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?


 * -a) 4.4 x 10-6 volts
 * -b) 6.6 x 10-6 volts
 * -c) 9.9 x 10-6 volts
 * -d) 1.5 x 10-5 volts
 * +e) 2.2 x 10-5 volts

227) A cylinder of radius, r=3, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (1.85+1.33z)\rho^3\hat\rho +7.52z^2\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{top}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the top surface of the cylinder.


 * -a) 1.304E+03
 * -b) 1.579E+03
 * +c) 1.914E+03
 * -d) 2.318E+03
 * -e) 2.809E+03

228) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.31 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.47 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.


 * +a) 8.672E+02 V
 * -b) 9.539E+02 V
 * -c) 1.049E+03 V
 * -d) 1.154E+03 V
 * -e) 1.270E+03 V

229) A 49 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 89 kW?


 * +a) 1.617E+02 km
 * -b) 1.779E+02 km
 * -c) 1.957E+02 km
 * -d) 2.153E+02 km
 * -e) 2.368E+02 km

230) Three wires sit at the corners of a square of length 0.64 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.76 A, 1.02 A, 1.08 A), respectively. What is the x-component of the magnetic field at point P?


 * -a) Bx= 3.394E-05 T
 * -b) Bx= 3.733E-05 T
 * -c) Bx= 4.106E-05 T
 * -d) Bx= 4.517E-05 T
 * +e) Bx= 4.969E-05 T

231) If the wavelength &lambda; associated with a photon is cut in half, the photon's energy E
 * +a) becomes twice as big
 * -b) stays the same
 * -c) is reduced by a factor of 4
 * -d) becomes 4 times as big
 * -e) is cut in half

232) What is consumer cost to operate one 102&minus;W incandescent bulb for 5 hours per day for 1 year (365 days) if the cost of electricity is $0.149 per kilowatt-hour?


 * -a) $2.292E+01
 * -b) $2.521E+01
 * +c) $2.774E+01
 * -d) $3.051E+01
 * -e) $3.356E+01

233) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC and only twoimpedances are involved,  Q=&equiv;&omega;0L/R is definedso that Q is large if the resistance is low.  Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V0sin(&omega;t), where V0=1 V. The resistance, inductance, and capacitance are R =0.2 &Omega;, L= 4.30E-03H, and C=3.20E-06 F, respectively.


 * -a) Q = 1.048E+02
 * -b) Q = 1.205E+02
 * -c) Q = 1.386E+02
 * -d) Q = 1.594E+02
 * +e) Q = 1.833E+02

234) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.310E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?


 * -a) 5.814E-01 mm
 * -b) 6.686E-01 mm
 * -c) 7.689E-01 mm
 * +d) 8.842E-01 mm
 * -e) 1.017E+00 mm

235) In the circuit shown V=10.9 V, R1=1.68 &Omega;, R2=7.52 &Omega;, and R3=12.8 &Omega;. What is the power dissipated by R2?


 * -a) 7.827E+00 W
 * +b) 8.610E+00 W
 * -c) 9.470E+00 W
 * -d) 1.042E+01 W
 * -e) 1.146E+01 W

236) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?
 * -a) 6x1018
 * -b) 2x1018
 * +c) 4x1018
 * -d) 8x1018
 * -e) 1018

237) The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T.  Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.


 * -a) 2.275E-06 V
 * +b) 2.502E-06 V
 * -c) 2.752E-06 V
 * -d) 3.027E-06 V
 * -e) 3.330E-06 V

238) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a  96 mF inductor?


 * -a) 3.014E-01 A
 * +b) 3.316E-01 A
 * -c) 3.647E-01 A
 * -d) 4.012E-01 A
 * -e) 4.413E-01 A

239) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * +a) becomes 4 times as big
 * -b) stays the same
 * -c) becomes twice as big
 * -d) is cut in half
 * -e) is reduced by a factor of 4

240) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?


 * -a) 6.171E+01 N/C
 * -b) 6.788E+01 N/C
 * -c) 7.467E+01 N/C
 * -d) 8.214E+01 N/C
 * +e) 9.035E+01 N/C

241) If you play the solitaire game 6 times, you will on average lose ___ times.
 * -a) 3
 * -b) 5
 * +c) 2
 * -d) 4
 * -e) 6

242) In the figure shown C1=17.5 &mu;F, C2=2.63 &mu;F, and C3=5.76 &mu;F. The voltage source provides &epsilon;=15.9 V. What is the charge on C1?


 * -a) 8.197E+01 &mu;C
 * +b) 9.017E+01 &mu;C
 * -c) 9.919E+01 &mu;C
 * -d) 1.091E+02 &mu;C
 * -e) 1.200E+02 &mu;C

243) An object of height 0.68 cm is placed 140 cm behind a diverging lens with a focal length of 87 cm. What is the height of the image?


 * -a) 1.26 x 10-1 cm
 * -b) 1.51 x 10-1 cm
 * -c) 1.81 x 10-1 cm
 * -d) 2.17 x 10-1 cm
 * +e) 2.61 x 10-1 cm

244) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
 * -a) 1/4
 * -b) 1/2
 * -c) 5/4
 * +d) 3/4
 * -e) 0
 * -f) 1

245) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * -a) $$\tfrac 3 4$$
 * -b) $$\tfrac 1 \sqrt 2$$
 * -c) $$\tfrac 1 4$$
 * -d) $$\tfrac 1 2$$
 * +e) $$\tfrac \sqrt 3 2$$

246) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.8 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=4.5 m, z=z0=1.5 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 9.8m2. Those in the xy plane have area 7.8m2 ,and those in the zx plane have area 9.8m2. An electric field has the xyz components (0, 6.1, 9.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * +a) 5.978E+01 N&middot;m2/C
 * -b) 6.576E+01 N&middot;m2/C
 * -c) 7.233E+01 N&middot;m2/C
 * -d) 7.957E+01 N&middot;m2/C
 * -e) 8.752E+01 N&middot;m2/C

247) Two parallel wires each carry a 9.59 mA current and are oriented in the z direction. The first wire is located in the x-y   plane at (3.97 cm, 1.4 cm), while the other is located at (4.02 cm, 5.19 cm). What is the force per unit length between the wires?


 * -a) 4.412E-10 N/m
 * +b) 4.853E-10 N/m
 * -c) 5.338E-10 N/m
 * -d) 5.872E-10 N/m
 * -e) 6.459E-10 N/m

248) Mr. Smith is gazing at something as shown in the figure to the left.  Suppose he does not refocus, but attempts to stare at the star shown in the figures below.  Which diagram depicts how the rays from the star would travel if he does not refocus?
 * -a) Ray drawing eye Wrong Answer.svg
 * -b) Ray_drawing_eye_schematic_alternate.svg
 * +c) Ray drawing eye schematic02.svg

249) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) none of these are correct
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * -c) $$\varepsilon_0 E=  H\rho $$
 * -d) $$\varepsilon_0 E = H\rho /2$$
 * +e) $$\varepsilon_0 E=   \rho z $$

250) If this represents the eye looking at an object, where is this object?
 * +a) Two (of the other answers) are true
 * -b) One focal length in front of the eye
 * -c) very far away
 * -d) directly in front of the eye (almost touching)
 * -e) at infinity

251) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * -a) 6mW
 * +b) 3mW
 * -c) 4mW
 * -d) 9mW
 * -e) 8mW

252) A spatially uniform magnetic points in the z-direction and oscilates with time as $$\vec B(t) = B_0\sin\omega t $$ where $$B_0=$$1.8 T and $$\omega=$$1.530E+03 s&minus;1. Suppose the electric field is always zero at point $$\mathcal O$$, and consider a circle of radius 0.519 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral $$\oint \vec B\cdot d\vec s$$ around the circle.


 * -a) 7.422E+03 V
 * -b) 8.164E+03 V
 * +c) 8.981E+03 V
 * -d) 9.879E+03 V
 * -e) 1.087E+04 V

253) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * -a) decreases by 2 eV
 * -b) increases by 4 eV
 * -c) stays the same
 * +d) increases by 2 eV
 * -e) decreases by 4 eV

254) Two sources of emf &epsilon;1=36.3 V, and  &epsilon;2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 k&Omega; and  R2=1.58 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 2.224E+00 mA
 * -b) 2.446E+00 mA
 * -c) 2.691E+00 mA
 * +d) 2.960E+00 mA
 * -e) 3.256E+00 mA

255) A battery has an emf of 5.6 volts, and an internal resistance of 450 $$k\Omega$$. It is connected to a 2.7 $$M\Omega$$ resistor.  What power is developed in the 2.7  $$M\Omega$$ resistor?


 * -a) 4.88 $$\mu$$W.
 * -b) 5.61 $$\mu$$W.
 * -c) 6.45 $$\mu$$W.
 * -d) 7.42 $$\mu$$W.
 * +e) 8.53 $$\mu$$W.

256) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 213 V.  If the combined external and internal resistance is 118 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 142.0 V?


 * -a) 5.401E+00 s
 * -b) 5.941E+00 s
 * -c) 6.535E+00 s
 * -d) 7.189E+00 s
 * +e) 7.908E+00 s

257) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) s&minus;4
 * -b) 4&minus;s
 * +c) 4
 * -d) s&minus;8
 * -e) 8&minus;s

258) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?
 * -a) 8W
 * +b) 24W
 * -c) 2.2W
 * -d) 3W

259) An loop of wire with 43 turns has a radius of 0.27 meters, and is oriented with its axis parallel to a magetic field of 0.68 Tesla. What is the induced voltage if this field is reduced to  36% of its original value in 3.8 seconds?


 * -a) 6.34 x 10-1 volts
 * -b) 7.68 x 10-1 volts
 * -c) 9.31 x 10-1 volts
 * +d) 1.13 x 100 volts
 * -e) 1.37 x 100 volts

260) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * -a) +1/5
 * -b) &minus;2/5
 * -c) +2/5
 * -d) +1
 * +e) &minus;1/5
 * -f) 0

261) A step-down transformer steps 8 kV down to 220 V. The high-voltage input is provided by a 110 &Omega; power line that carries 8 A of currentWhat is the output current (at the 220 V side ?)


 * -a) 2.404E+02 A
 * -b) 2.645E+02 A
 * +c) 2.909E+02 A
 * -d) 3.200E+02 A
 * -e) 3.520E+02 A

Key: B0
1) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=2\times 10^{-7}\text{m}$$. What is the magnitude of the net force on $$q_2$$ if $$q_1=1e$$, $$q_2=-7e$$, and $$q_3=3e$$?


 * -a) 4.171E-14 N
 * -b) 4.588E-14 N
 * +c) 5.047E-14 N
 * -d) 5.551E-14 N
 * -e) 6.107E-14 N

2) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=6\times 10^{-7}\text{m}$$.what angle does the force on $$q_2$$ make above the $$-x$$ axis if $$q_1=3e$$, $$q_2=-8e$$, and $$q_3=5e$$?


 * -a) 5.062E+01 degrees
 * -b) 5.569E+01 degrees
 * -c) 6.125E+01 degrees
 * +d) 6.738E+01 degrees
 * -e) 7.412E+01 degrees

3) $$E_z(x=0,z)=\int_{-a}^b f(x,z)dx$$ is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m.  Evaluate $$f(x,y)$$ at x=0.79 m if a=0.75 m, b=2.1 m.  The total charge on the rod is 6 nC.


 * +a) 5.825E+00 V/m2
 * -b) 6.407E+00 V/m2
 * -c) 7.048E+00 V/m2
 * -d) 7.753E+00 V/m2
 * -e) 8.528E+00 V/m2

4) A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?


 * -a) 2.013E+09 N/C2
 * -b) 2.214E+09 N/C2
 * -c) 2.435E+09 N/C2
 * -d) 2.679E+09 N/C2
 * +e) 2.947E+09 N/C2

5) $$E(z)=\int_{0}^R f(r',z)dr'$$ is an integral that calculates the magnitude of the electric field at a distance $$z$$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk.  The disk's radius is $$R=1.4\text{ m}$$ and the surface charge density is $$\sigma=6\text{ nC/m}^3$$. Evaluate $$f(r',z)$$ at $$r'=0.56\text{ m}$$.


 * -a) 2.567E+01 V/m2
 * -b) 2.824E+01 V/m2
 * -c) 3.106E+01 V/m2
 * -d) 3.417E+01 V/m2
 * +e) 3.759E+01 V/m2

6) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?


 * +a) 1.694E+02 N/C
 * -b) 1.864E+02 N/C
 * -c) 2.050E+02 N/C
 * -d) 2.255E+02 N/C
 * -e) 2.480E+02 N/C

7) What is the magnitude of the electric field at the origin if a 1.2 nC charge is placed at x = 5.9 m, and a 3.1 nC charge is placed at y = 6.1 m?


 * -a) 7.02 x 10-1N/C
 * +b) 8.11 x 10-1N/C
 * -c) 9.36 x 10-1N/C
 * -d) 1.08 x 100N/C
 * -e) 1.25 x 100N/C

8) What angle does the electric field at the origin make with the x-axis if a 1.4 nC charge is placed at x = -8.7 m, and a 2.7  nC charge is placed at y = -8.3 m?


 * -a) 4.85 x 101degrees
 * -b) 5.61 x 101degrees
 * +c) 6.47 x 101degrees
 * -d) 7.48 x 101degrees
 * -e) 8.63 x 101degrees

9) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at  (x,y) =( 6a, 4a) is &beta;kQ/a2, where &beta; equals


 * -a) 1.33 x 10-3 unit
 * -b) 1.61 x 10-3 unit
 * -c) 1.95 x 10-3 unit
 * -d) 2.37 x 10-3 unit
 * +e) 2.87 x 10-3 unit

10) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at  (x,y) =( 1.1a, 1.2a) is &beta;kQ/a2, where &beta; equals


 * -a) 2.36 x 10-1 unit
 * -b) 2.86 x 10-1 unit
 * +c) 3.47 x 10-1 unit
 * -d) 4.2 x 10-1 unit
 * -e) 5.09 x 10-1 unit

11) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal B=$$
 * -a) &minus;3
 * -b) &minus;7
 * -c) &minus;3
 * -d) 3
 * +e) 2

12) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * +a) 1&minus;s
 * -b) s&minus;1
 * -c) 5&minus;s
 * -d) s&minus;4
 * -e) 5

13) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal F=$$:
 * -a) 2/3
 * -b) 2
 * +c) 3/2
 * -d) 3
 * -e) 1/2

14) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) s&minus;7
 * -b) 3&minus;s
 * -c) 8
 * +d) 7&minus;s
 * -e) s&minus;3

15) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * -a) 72 + 82
 * -b) 72 + (3&minus;s)2
 * -c) 72 + (8&minus;s)2
 * +d) (7-s)2 + 82
 * -e) 32 + 82

16) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$
 * -a) 3
 * -b) s&minus;7
 * -c) 3&minus;s
 * +d) 7&minus;s
 * -e) s&minus;3

17) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where$$\mathcal F=$$
 * -a) 2
 * -b) 3
 * +c) 3/2
 * -d) 1/2

18) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 2 &minus; s
 * -b) s &minus; 2
 * -c) s &minus; 9
 * +d) 9 &minus; s
 * -e) 2

19) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * -a) 72 + (2-s)2
 * +b) 22 + (9-s)2
 * -c) 22 + (7-s)2
 * -d) 92 + (2-s)2
 * -e) 92 + (7-s)2

20) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal A=$$:
 * -a) 2
 * +b) 4
 * -c) 8
 * -d) 1/2

21) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 8&minus;s
 * -b) s&minus;8
 * -c) s&minus;4
 * +d) 4
 * -e) 4&minus;s

22) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 4&minus;s
 * -b) 4
 * +c) 8&minus;s
 * -d) s&minus;8
 * -e) s&minus;4

23) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) s&minus;1
 * -b) 5&minus;s
 * -c) s&minus;4
 * +d) 5
 * -e) 1&minus;s

24) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.1 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.0 m, z=z0=1.8 m, and z=z1=5.7 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 3.9m2 ,and those in the zx plane have area 4.3m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 31&deg; above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * -a) 4.521E+01 N&middot;m2/C
 * -b) 4.973E+01 N&middot;m2/C
 * -c) 5.470E+01 N&middot;m2/C
 * -d) 6.017E+01 N&middot;m2/C
 * +e) 6.619E+01 N&middot;m2/C

25) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.5 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.8 m, z=z0=1.7 m, and z=z1=4.6 m. The surfaces in the yz plane each have area 9.9m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 7.2m2. An electric field of magnitude 14 N/C has components in the y and z directions and is directed at 55&deg; from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * +a) 8.314E+01 N&middot;m2/C
 * -b) 9.146E+01 N&middot;m2/C
 * -c) 1.006E+02 N&middot;m2/C
 * -d) 1.107E+02 N&middot;m2/C
 * -e) 1.217E+02 N&middot;m2/C

26) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=5.3 m, z=z0=1.3 m, and z=z1=5.6 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 4.8m2 ,and those in the zx plane have area 5.6m2. An electric field has the xyz components (0, 5.5, 9.1) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * +a) 3.074E+01 N&middot;m2/C
 * -b) 3.382E+01 N&middot;m2/C
 * -c) 3.720E+01 N&middot;m2/C
 * -d) 4.092E+01 N&middot;m2/C
 * -e) 4.501E+01 N&middot;m2/C

27) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=8, y=0), (x=0, y=8), and (x=8, y=8), where x and y are measured in meters. The electric field is, $$\vec E=1y^{2.8}\hat i +5x^{2.7}\hat j +5y^{1.6}\hat k$$


 * +a) 3.429E+03 V&middot;m
 * -b) 3.771E+03 V&middot;m
 * -c) 4.149E+03 V&middot;m
 * -d) 4.564E+03 V&middot;m
 * -e) 5.020E+03 V&middot;m

28) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 1.9 nano-Coulombs. What is the magnitude of the electric field at a distance of 2.1 m from the center of the shells?


 * -a) 5.297E+00 N/C
 * -b) 5.827E+00 N/C
 * -c) 6.409E+00 N/C
 * -d) 7.050E+00 N/C
 * +e) 7.755E+00 N/C

29) A non-conducting sphere of radius R=3.3 m has a non-uniform charge density that varies with the distnce from its center as given by &rho;(r)=ar1.4 (r&le;R) where a=2 nC&middot;m-1.6. What is the magnitude of the electric field at a distance of 1.5 m from the center?


 * -a) 1.123E+02 N/C
 * -b) 1.235E+02 N/C
 * +c) 1.358E+02 N/C
 * -d) 1.494E+02 N/C
 * -e) 1.644E+02 N/C

30) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.45+2.26z)\rho^2\hat\rho +8.92z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{top}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the top surface of the cylinder.


 * -a) 5.043E+02
 * -b) 6.109E+02
 * -c) 7.402E+02
 * +d) 8.967E+02
 * -e) 1.086E+03

31) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.07+2.87z)\rho^2\hat\rho +9.56z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{side}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the curved side surface of the cylinder.


 * +a) 4.162E+02
 * -b) 5.042E+02
 * -c) 6.109E+02
 * -d) 7.401E+02
 * -e) 8.967E+02

32) A cylinder of radius, r=3, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.37+2.6z)\rho^2\hat\rho +8.84z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\oint\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the entire surface of the cylinder.


 * -a) 4.63E+03
 * +b) 5.61E+03
 * -c) 6.79E+03
 * -d) 8.23E+03
 * -e) 9.97E+03

33) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * +a) $$\varepsilon_0 E = H\rho /2$$
 * -b) $$\varepsilon_0 E=  H\rho $$
 * -c) $$\varepsilon_0 E=  H\rho z$$
 * -d) none of these are correct
 * -e) $$\varepsilon_0 E=   \rho z $$

34) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) $$\varepsilon_0 E = H\rho /2$$
 * -b) $$\varepsilon_0 E=  H\rho $$
 * -c) $$\varepsilon_0 E=  H\rho z$$
 * -d) none of these are correct
 * +e) $$\varepsilon_0 E=   \rho z $$

35) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * -a) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * -b) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * -c) none of these are correct
 * -d) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * +e) $$ r^2\varepsilon_0 E=R^3\rho /3$$

36) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * -a) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * -b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * -c) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * -d) none of these are correct
 * +e) $$ r^2\varepsilon_0 E=r^3\rho /3$$

37) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * -a) none of these are correct
 * -b) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -c) $$2r\varepsilon_0 E = R^2\rho $$
 * +d) $$2\varepsilon_0 E = r\rho $$
 * -e) $$2R\varepsilon_0 E=  r^2\rho $$

38) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * -a) $$2R\varepsilon_0 E=  r^2\rho $$
 * +b) $$2r\varepsilon_0 E = R^2\rho $$
 * -c) none of these are correct
 * -d) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -e) $$2\varepsilon_0 E = r\rho $$

39) A 4 C charge is separated from a 10 C charge by distance of 10 cm.  What is the work done by increasing this separation to 19 cm?


 * -a) 1.548E-06 J
 * +b) 1.703E-06 J
 * -c) 1.873E-06 J
 * -d) 2.061E-06 J
 * -e) 2.267E-06 J

40) Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.)  The charges are q1=3 &mu;C, q2=6 &mu;C, q3=9 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 4.554E+01 J
 * -b) 5.009E+01 J
 * -c) 5.510E+01 J
 * +d) 6.061E+01 J
 * -e) 6.667E+01 J

41) A 12.0 V battery can move 49,000 C of charge. How many Joules does it deliver?


 * +a) 5.880E+05 J
 * -b) 6.468E+05 J
 * -c) 7.115E+05 J
 * -d) 7.826E+05 J
 * -e) 8.609E+05 J

42) When a 8.6 V battery operates a 2.76 W bulb, how many electrons pass through it each second?


 * -a) 1.655E+18 electrons
 * -b) 1.821E+18 electrons
 * +c) 2.003E+18 electrons
 * -d) 2.203E+18 electrons
 * -e) 2.424E+18 electrons

43) Calculate the final speed of a free electron accelerated from rest through a potential difference of 53 V.


 * -a) 3.244E+06 m/s
 * -b) 3.568E+06 m/s
 * -c) 3.925E+06 m/s
 * +d) 4.318E+06 m/s
 * -e) 4.750E+06 m/s

44) An electron gun has parallel plates separated by 5.38 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.427 &mu;C charge that gets between the plates?


 * -a) 3.542E-01 N
 * -b) 3.896E-01 N
 * +c) 4.286E-01 N
 * -d) 4.714E-01 N
 * -e) 5.186E-01 N

45) Assume that a 5 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and  P2 where the polar coordinates (r,&phi;) of  P1 are  (9 cm, 0&deg;) and  P2 is at (13 cm, 31&deg;).


 * -a) 1.397E+02 V
 * +b) 1.536E+02 V
 * -c) 1.690E+02 V
 * -d) 1.859E+02 V
 * -e) 2.045E+02 V

46) A Van de Graff generator has a 140 cm diameter metal sphere that produces 244 kV near its surface. What  is the excess charge on the sphere?


 * +a) 1.900E+01 &mu;C
 * -b) 2.090E+01 &mu;C
 * -c) 2.299E+01 &mu;C
 * -d) 2.529E+01 &mu;C
 * -e) 2.782E+01 &mu;C

47) A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.09 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.45 cm, y=2.04 cm)? Note that following the textbook's example, the y-value of the field point at 2.04 cm matches the disance of the positive charge above the x-axis.


 * -a) 3.814E+02 V
 * -b) 4.195E+02 V
 * +c) 4.615E+02 V
 * -d) 5.077E+02 V
 * -e) 5.584E+02 V

48) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=26 V is x2 + y2 + z2 = R2, where R=


 * -a) 3.636E+00 m
 * -b) 4.000E+00 m
 * -c) 4.399E+00 m
 * +d) 4.839E+00 m
 * -e) 5.323E+00 m

49) Two large parallel conducting plates are separated by 7.14 mm. Equal and opposite surface charges of 7.660E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * -a) 4.031E-01 mm
 * -b) 4.636E-01 mm
 * -c) 5.332E-01 mm
 * -d) 6.131E-01 mm
 * +e) 7.051E-01 mm

50) An empty parallel-plate capacitor with metal plates has an area of 2.45 m2, separated by 1.18 mm. How much charge does it store if the voltage is 4.060E+03 V?


 * -a) 5.608E+01 &mu;C
 * -b) 6.168E+01 &mu;C
 * -c) 6.785E+01 &mu;C
 * +d) 7.464E+01 &mu;C
 * -e) 8.210E+01 &mu;C

51) What is the net capacitance if C1=3.56 &mu;F, C2=4.23 &mu;F, and C3=2.61 &mu;F in the configuration shown?


 * -a) 3.755E+00 &mu;F
 * -b) 4.130E+00 &mu;F
 * +c) 4.543E+00 &mu;F
 * -d) 4.997E+00 &mu;F
 * -e) 5.497E+00 &mu;F

52) In the figure shown C1=19.4 &mu;F, C2=2.49 &mu;F, and C3=4.17 &mu;F. The voltage source provides &epsilon;=6.35 V. What is the charge on C1?


 * -a) 2.602E+01 &mu;C
 * -b) 2.862E+01 &mu;C
 * +c) 3.148E+01 &mu;C
 * -d) 3.463E+01 &mu;C
 * -e) 3.809E+01 &mu;C

53) In the figure shown C1=18.2 &mu;F, C2=2.44 &mu;F, and C3=5.0 &mu;F. The voltage source provides &epsilon;=7.78 V. What is the energy stored in C2?


 * -a) 1.225E+01 &mu;J
 * +b) 1.347E+01 &mu;J
 * -c) 1.482E+01 &mu;J
 * -d) 1.630E+01 &mu;J
 * -e) 1.793E+01 &mu;J

54) A parallel plate capacitor has both plates with an area of 0.55 m2. The separation between the plates is  0.53mm.  Applied to the plates is a potential difference of 4.25 kV.  What is the capacitance?


 * -a) 6.95 nF.
 * -b) 7.99 nF.
 * +c) 9.19 nF.
 * -d) 10.57 nF.
 * -e) 12.15 nF.

55) The same parallel plate capacitor, with area 0.55 m2, plate separation  0.53mm, and an applied voltage of 4.25 kV.  How much charge is stored?


 * +a) 39.05 &mu;C.
 * -b) 44.91 &mu;C.
 * -c) 51.64 &mu;C.
 * -d) 59.39 &mu;C.
 * -e) 68.3 &mu;C.

56) A 0.8 Farad capacitor is charged with 1.7 Coulombs. What is the value of the electric field if the plates are 0.5 mm apart?


 * -a) 2.43 kV/m.
 * -b) 2.79 kV/m.
 * -c) 3.21 kV/m.
 * -d) 3.7 kV/m.
 * +e) 4.25 kV/m.

57) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?


 * -a) 0.81 J.
 * -b) 0.93 J.
 * +c) 1.07 J.
 * -d) 1.23 J.
 * -e) 1.41 J.

58) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.6 mm apart?


 * -a) 412 N.
 * -b) 474 N.
 * -c) 545 N.
 * -d) 626 N.
 * +e) 720 N.

59) How fast is a 2663 eV electron moving?


 * +a) 3.1 x 107 m/s.
 * -b) 4.6 x 107 m/s.
 * -c) 6.9 x 107 m/s.
 * -d) 1 x 108 m/s.
 * -e) 1.5 x 108 m/s.

60) A proton is accellerated (at rest) from a plate held at 4.7 volts to a plate at zero volts. What is the final speed?


 * -a) 5.9 x 103 m/s.
 * -b) 8.9 x 103 m/s.
 * -c) 1.3 x 104 m/s.
 * -d) 2 x 104 m/s.
 * +e) 3 x 104 m/s.

61) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?


 * -a) 3.2 x 103 volts
 * -b) 4.9 x 103 volts
 * -c) 7.3 x 103 volts
 * -d) 1.1 x 104 volts
 * +e) 1.6 x 104 volts

62) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?


 * +a) 3.4 x 101 volts
 * -b) 5.1 x 101 volts
 * -c) 7.7 x 101 volts
 * -d) 1.2 x 102 volts
 * -e) 1.7 x 102 volts

63) What is the average current involved when a truck battery sets in motion 779 C of charge in 3.96 s while starting an engine?


 * -a) 1.626E+02 A
 * -b) 1.788E+02 A
 * +c) 1.967E+02 A
 * -d) 2.164E+02 A
 * -e) 2.380E+02 A

64) The charge passing a plane intersecting a wire is $$Q_M=\left(1-e^{t/\tau}\right)$$, where $$Q_M$$=84 C  and $$\tau=$$0.0199 s. What is the current at $$t=$$0.0104 s?


 * -a) 2.275E+03 A
 * +b) 2.503E+03 A
 * -c) 2.753E+03 A
 * -d) 3.029E+03 A
 * -e) 3.331E+03 A

65) Calculate the drift speed of electrons in a copper wire with a diameter of 2.72 mm carrying a 16.2 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.


 * +a) 2.087E-04 m/s
 * -b) 2.295E-04 m/s
 * -c) 2.525E-04 m/s
 * -d) 2.777E-04 m/s
 * -e) 3.055E-04 m/s

66) A make-believe metal has a density of 1.300E+04 kg/m3 and an atomic mass of 75.7 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.


 * -a) 9.398E+28 e&minus;/m3
 * +b) 1.034E+29 e&minus;/m3
 * -c) 1.137E+29 e&minus;/m3
 * -d) 1.251E+29 e&minus;/m3
 * -e) 1.376E+29 e&minus;/m3

67) A device requires consumes 142 W of power and requires 12.1 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.


 * +a) 2.300E+06 A/m2
 * -b) 2.530E+06 A/m2
 * -c) 2.783E+06 A/m2
 * -d) 3.062E+06 A/m2
 * -e) 3.368E+06 A/m2

68) Calculate the resistance of a 12-gauge copper wire that is 78 m long and carries a current of 82 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * -a) 2.974E-01 &Omega;
 * -b) 3.272E-01 &Omega;
 * -c) 3.599E-01 &Omega;
 * +d) 3.959E-01 &Omega;
 * -e) 4.355E-01 &Omega;

69) Calculate the electric field in a 12-gauge copper wire that is 18 m long and carries a current of 22 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * +a) 1.117E-04 V/m
 * -b) 1.228E-04 V/m
 * -c) 1.351E-04 V/m
 * -d) 1.486E-04 V/m
 * -e) 1.635E-04 V/m

70) Imagine a substance could be made into a very hot filament. Suppose the resitance is 2.61 &Omega; at a temperature of 92&deg;C and that the temperature coefficient of expansion is 4.260E-03 (&deg;C)&minus;1). What is the resistance at a temperature of 422 &deg;C?


 * +a) 6.279E+00 &Omega;
 * -b) 6.593E+00 &Omega;
 * -c) 6.923E+00 &Omega;
 * -d) 7.269E+00 &Omega;
 * -e) 7.632E+00 &Omega;

71) A DC winch moter draws 25 amps at 119 volts as it lifts a 4.730E+03 N weight at a constant speed of 0.47 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.


 * -a) 1.094E+00 &Omega;
 * +b) 1.203E+00 &Omega;
 * -c) 1.323E+00 &Omega;
 * -d) 1.456E+00 &Omega;
 * -e) 1.601E+00 &Omega;

72) What is consumer cost to operate one 59&minus;W incandescent bulb for 10 hours per day for 1 year (365 days) if the cost of electricity is $0.132 per kilowatt-hour?


 * -a) $2.584E+01
 * +b) $2.843E+01
 * -c) $3.127E+01
 * -d) $3.440E+01
 * -e) $3.784E+01

73) A given battery has a 15 V emf and an internal resistance of 0.177 &Omega;. If it is connected to a 0.824 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.682E+02 W
 * +b) 1.850E+02 W
 * -c) 2.035E+02 W
 * -d) 2.239E+02 W
 * -e) 2.463E+02 W

74) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * +a) 2.467E+00 V
 * -b) 2.714E+00 V
 * -c) 2.985E+00 V
 * -d) 3.283E+00 V
 * -e) 3.612E+00 V

75) Three resistors, R1 = 0.548 &Omega;, and R2 = R2 = 1.24 &Omega;, are connected in parallel to a 7.16 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 7.029E+01 W
 * -b) 7.731E+01 W
 * -c) 8.505E+01 W
 * +d) 9.355E+01 W
 * -e) 1.029E+02 W

76) In the circuit shown V=16.1 V, R1=1.18 &Omega;, R2=5.28 &Omega;, and R3=14.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.172E+01 W
 * -b) 2.389E+01 W
 * -c) 2.628E+01 W
 * +d) 2.891E+01 W
 * -e) 3.180E+01 W

77) The resistances in the figure shown are R1= 2.42 &Omega;, R2= 1.09 &Omega;, and R2= 3.89 &Omega;. V1 and V3 are text 0.677 V and 1.86 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.745 V. What is the absolute value of the current through R1?


 * -a) 2.089E-01 A
 * -b) 2.298E-01 A
 * +c) 2.528E-01 A
 * -d) 2.781E-01 A
 * -e) 3.059E-01 A

78) Two sources of emf &epsilon;1=40.6 V, and  &epsilon;2=13.5 V are oriented as shownin the circuit. The resistances are R1=4.35 k&Omega; and  R2=2.44 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.73 mA and I4=0.78 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.332E+00 mA
 * -b) 1.465E+00 mA
 * -c) 1.612E+00 mA
 * -d) 1.773E+00 mA
 * +e) 1.950E+00 mA

79) Two sources of emf &epsilon;1=35.5 V, and  &epsilon;2=12.3 V are oriented as shownin the circuit. The resistances are R1=4.49 k&Omega; and  R2=1.53 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.63 mA and I4=0.972 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 1.093E+01 V
 * +b) 1.202E+01 V
 * -c) 1.322E+01 V
 * -d) 1.454E+01 V
 * -e) 1.600E+01 V

80) Two sources of emf &epsilon;1=34.7 V, and  &epsilon;2=13.9 V are oriented as shownin the circuit. The resistances are R1=3.68 k&Omega; and  R2=1.55 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=5.68 mA and I4=0.933 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 9.286E+00 V
 * -b) 1.021E+01 V
 * -c) 1.124E+01 V
 * +d) 1.236E+01 V
 * -e) 1.360E+01 V

81) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V.  If the combined external and internal resistance is 109 &Omega and the capacitance is  59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?


 * -a) 3.728E+00 s
 * -b) 4.101E+00 s
 * -c) 4.511E+00 s
 * +d) 4.962E+00 s
 * -e) 5.458E+00 s

82) A 4.7 volt battery moves 50 Coulombs of charge in 1.3 hours. What is the power?


 * -a) 4.14 x 10-2 W
 * +b) 5.02 x 10-2 W
 * -c) 6.08 x 10-2 W
 * -d) 7.37 x 10-2 W
 * -e) 8.93 x 10-2 W

83) The diameter of a copper wire is 1.9 mm, and it carries a current of 33 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m3 and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)


 * -a) 5.93 x 10-4m/s
 * -b) 7.19 x 10-4m/s
 * +c) 8.71 x 10-4m/s
 * -d) 1.06 x 10-3m/s
 * -e) 1.28 x 10-3m/s

84) A 146 Watt DC motor draws 0.23 amps of current. What is effective resistance?


 * -a) 2.28 x 103 &Omega;
 * +b) 2.76 x 103 &Omega;
 * -c) 3.34 x 103 &Omega;
 * -d) 4.05 x 103 &Omega;
 * -e) 4.91 x 103 &Omega;

85) A power supply delivers 145 watts of power to a 244 ohm resistor.  What was the applied voltage?


 * +a) 1.88 x 102 volts
 * -b) 2.28 x 102 volts
 * -c) 2.76 x 102 volts
 * -d) 3.34 x 102 volts
 * -e) 4.05 x 102 volts

86) 3 amps flow through a 1 Ohm resistor. What is the voltage?
 * +a) $$3V$$
 * -b) None these are correct.
 * -c) $$\frac{1}{3}V$$
 * -d) $$1V$$

87) A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?
 * -a) I = 5A &  P = 9W
 * -b) I = 5A &  P = 3W.
 * +c) I = 5A &  P = 25W.
 * -d) I = 5A &  P = 5W.

88) The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one?
 * -a) $$V_{small-Resistor} = 5V$$ and $$V_{Big-Resistor} = 5V$$.
 * +b) $$V_{Big-Resistor} = 6.67V$$ and $$V_{small-Resistor} = 3.33V$$.
 * -c) $$V_{Big-Resistor} = 3.33V$$ and$$V_{small-Resistor} = 6.67V$$.
 * -d) None of these are true.

89) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?
 * -a) $$R_{Total} = 3\Omega$$.
 * +b) $$R_{Total} = 6\Omega$$.
 * -c) None of these are true.
 * -d) $$R_{Total} = 0.5454\Omega$$.

90) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?
 * -a) None of these are true.
 * -b) $$R_1 = 250V$$ and $$R_2 = 0V$$.
 * +c) $$R_1 = 125V$$ and $$R_2 = 125V$$.
 * -d) $$R_1 = 150V$$ and $$R_2 = 100V$$.

91) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?
 * -a) $$\frac{11}{6}\Omega$$.
 * -b) $$\frac{6}{3}\Omega$$.
 * -c) $$\frac{3}{6}\Omega$$.
 * +d) $$\frac{6}{11}\Omega$$.

92) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?
 * +a) $$\frac{10}{7}\Omega$$.
 * -b) $$\frac{7}{10}\Omega$$.
 * -c) $$\frac{10}{6}\Omega$$.
 * -d) $$\frac{6}{10}\Omega$$.

93) A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?
 * -a) $$\frac{7}{11}\Omega$$.
 * -b) $$\frac{10}{21}\Omega$$.
 * -c) $$\frac{11}{7}\Omega$$.
 * +d) $$\frac{21}{10}\Omega$$.

94) Three 1 ohm resistors are connected in parallel. What is the total resistance?
 * -a) $$\frac{2}{3}\Omega$$.
 * -b) $$ 3\Omega$$.
 * +c) $$\frac{1}{3}\Omega$$.
 * -d) $$\frac{3}{2}\Omega$$.

95) If you put an infinite number of resistors in parallel, what would the total resistance be?
 * -a) $$R_{total}$$ would approach 1 as The No. of Resistors In parallel Approaches Infinity
 * +b) $$R_{total}$$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.
 * -c) It is not possible to connect that Number of Resistors in parallel.
 * -d) None of these are true.

96) What is the current through R1 and R2 in the figure shown?
 * -a) $$I_1 = 10A$$ and $$I_2 = 16.67A$$.
 * +b) $$I_1 = 1A$$ and $$I_2 = 1.667A$$.
 * -c) $$I_1 = 0.1A$$ and $$I_2 = 0.1667A$$.
 * -d) $$I_1 = 1A$$ and $$I_2 = 25A$$.

97) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?
 * +a) Voltage is a measure of Electric Potential difference between two electrical points.
 * -b) The other point could be Negative or positive.
 * -c) None these are correct
 * -d) It's an Electrical Cliche.

98) What is the current through R1, R2, R3, and R4 in the figure shown?
 * +a) $$I_1 = 1A$$; $$I_2 = 0.5A$$; $$I_3 = 0.33A$$; $$I_4 = 0.25A$$.
 * -b) $$I_1 = 1A$$; $$I_2 = 5A$$; $$I_3 = 3.3A$$; $$I_4 = 2.5A$$.
 * -c) $$I_1 = 10A$$; $$I_2 = 50A$$; $$I_3 = 33A$$; $$I_4 = 25A$$..
 * -d) $$I_1 = 0.25A$$; $$I_2 = 0.33A$$; $$I_3 = 0.5A$$; $$I_4 = 0.1A$$.

99) Two resistors are in parallel with a voltage source. How do their voltages compare?
 * -a) The voltage across both resistors is half the voltage of the source.
 * -b) None of these are true.
 * -c) One has full voltage, the other has none.
 * +d) The voltage across both resistors is the same as the source.

100) A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?
 * -a) 2V.
 * -b) 10V.
 * -c) 15V.
 * +d) 0.5V.

101) A resistor has 10 volts across it and 4 amps going through it. What is its resistance?
 * -a) None of these are true.
 * -b) $$3.5\Omega.$$
 * -c) $$4.5\Omega.$$
 * +d) $$2.5\Omega.$$

102) If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope?
 * +a) Resistance.
 * -b) None of these are true.
 * -c) Power.
 * -d) Discriminant.

103) A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?
 * -a) 1.5A
 * -b) 3A
 * -c) 12A
 * +d) 2A

104) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?
 * -a) 2.2W
 * -b) 8W
 * +c) 24W
 * -d) 3W

105) A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed?
 * -a) 11.67 Joules
 * -b) None of these are ture.
 * +c) 1.67 Watts
 * -d) 2.5 Watts

106) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?
 * -a) 5 Joules
 * +b) 25 Joules
 * -c) None of these are true
 * -d) 3 Joules

107) An ideal 9.9 V voltage source is connected to two resistors in parallel.  One is 0.9$$k\Omega$$, and the other is 1.8 $$k\Omega$$.  What is the current through the larger resistor?


 * +a) 3.67 mA.
 * -b) 4.22 mA.
 * -c) 4.85 mA.
 * -d) 5.58 mA.
 * -e) 6.41 mA.

108) A 6.6 ohm resistor is connected in series to a pair of 6.4 ohm resistors that are in parallel.  What is the net resistance?


 * -a) 6.4 ohms.
 * -b) 7.4 ohms.
 * -c) 8.5 ohms.
 * +d) 9.8 ohms.
 * -e) 11.3 ohms.

109) Two 6.6 ohm resistors are connected in parallel.  This combination is then connected in series to a 3.4 ohm resistor.  What is the net resistance?


 * -a) 4.4 ohms.
 * -b) 5.1 ohms.
 * -c) 5.8 ohms.
 * +d) 6.7 ohms.
 * -e) 7.7 ohms.

110) An ideal 7.3 volt battery is connected to a 0.071 ohm resistor.  To measure the current an ammeter with a resistance of 27$$m\Omega$$ is used.  What current does the ammeter actually read?


 * -a) 49 A.
 * -b) 56.3 A.
 * -c) 64.8 A.
 * +d) 74.5 A.
 * -e) 85.7 A.

111) A battery has an emf of 5.6 volts, and an internal resistance of 295 $$k\Omega$$. It is connected to a 4.1 $$M\Omega$$ resistor.  What power is developed in the 4.1  $$M\Omega$$ resistor?


 * -a) 3.81 $$\mu$$W.
 * -b) 4.38 $$\mu$$W.
 * -c) 5.03 $$\mu$$W.
 * -d) 5.79 $$\mu$$W.
 * +e) 6.66 $$\mu$$W.

112) An alpha-particle (q=3.2x10&minus;19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the  x-component of the force on the alpha-particle if it is moving with a velocity (5.64 i + 1.93 j  + 8.71 k) x 104 m/s?


 * -a) 1.757E-14 N
 * +b) 1.933E-14 N
 * -c) 2.126E-14 N
 * -d) 2.339E-14 N
 * -e) 2.573E-14 N

113) A charged particle in a magnetic field of 3.720E-04 T is moving perpendicular to the magnetic field with a speed of 4.780E+05 m/s. What is the period of orbit if orbital radius is 0.868 m?


 * -a) 7.793E-06 s
 * -b) 8.572E-06 s
 * -c) 9.429E-06 s
 * -d) 1.037E-05 s
 * +e) 1.141E-05 s

114) An alpha-particle (m=6.64x10&minus;27kg, q=3.2x10&minus;19C) briefly enters a uniform magnetic field of magnitude 0.0618 T . It emerges after being deflected by 67&deg; from its original direction. How much time did it spend in that magnetic field?


 * -a) 3.245E-07 s
 * -b) 3.569E-07 s
 * +c) 3.926E-07 s
 * -d) 4.319E-07 s
 * -e) 4.751E-07 s

115) A 33 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.869 T. What current is required to maintain this balance?


 * -a) 2.259E-01 A
 * -b) 2.485E-01 A
 * +c) 2.734E-01 A
 * -d) 3.007E-01 A
 * -e) 3.308E-01 A

116) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.265 T magnetic field is directed 26&deg; away from the wire?


 * -a) 3.840E-01 N/m
 * -b) 4.224E-01 N/m
 * +c) 4.647E-01 N/m
 * -d) 5.111E-01 N/m
 * -e) 5.623E-01 N/m

117) A circular current loop of radius 2.1 cm carries a current of 5.02 mA. What is the magnitude of the torque if the dipole is oriented at 26 &deg; to a uniform magnetic fied of 0.184 T?


 * +a) 5.610E-07 N m
 * -b) 6.171E-07 N m
 * -c) 6.788E-07 N m
 * -d) 7.467E-07 N m
 * -e) 8.213E-07 N m

118) An electron beam (m=9.1 x 10&minus;31kg, q=1.6 x 10&minus;19C) enters a crossed-field velocity selector with magnetic and electric fields of 1.85 mT and 5.080E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?


 * +a) 2.746E+06 m/s
 * -b) 3.021E+06 m/s
 * -c) 3.323E+06 m/s
 * -d) 3.655E+06 m/s
 * -e) 4.020E+06 m/s

119) The silver ribbon shown are a=3.84 cm, b=3.45 cm, and c= 1.38 cm. The current carries a current of 92 A and it lies in a uniform magnetic field of 1.35 T.  Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.


 * -a) 7.153E-07 V
 * -b) 7.869E-07 V
 * -c) 8.655E-07 V
 * +d) 9.521E-07 V
 * -e) 1.047E-06 V

120) A cyclotron used to accelerate alpha particlesm=6.64 x 10&minus;27kg, q=3.2 x 10&minus;19C) has a radius of 0.295 m and a magneticfield of 1.44 T. What is their maximum kinetic energy?


 * -a) 6.534E+00 MeV
 * -b) 7.187E+00 MeV
 * -c) 7.906E+00 MeV
 * +d) 8.697E+00 MeV
 * -e) 9.566E+00 MeV

121) A wire carries a current of 193 A in a circular arc with radius 3.13 cm swept through 40 degrees. Assuming that the rest of the current is 100% shielded by  mu-metal, what is the magnetic field at the center of the arc?


 * -a) 1.285E+00 Tesla
 * +b) 1.413E+00 Tesla
 * -c) 1.554E+00 Tesla
 * -d) 1.710E+00 Tesla
 * -e) 1.881E+00 Tesla

122) Three wires sit at the corners of a square of length 0.739 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.93 A, 2.48 A, 1.36 A), respectively. What is the x-component of the magnetic field at point P?


 * -a) Bx= 6.397E-05 T
 * +b) Bx= 7.037E-05 T
 * -c) Bx= 7.740E-05 T
 * -d) Bx= 8.514E-05 T
 * -e) Bx= 9.366E-05 T

123) Three wires sit at the corners of a square of length 0.859 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.07 A, 1.32 A, 2.03 A), respectively. What is the y-component of the magnetic field at point P?


 * +a) By= 4.028E-05 T
 * -b) By= 4.431E-05 T
 * -c) By= 4.874E-05 T
 * -d) By= 5.361E-05 T
 * -e) By= 5.897E-05 T

124) Two parallel wires each carry a 2.83 mA current and are oriented in the z direction. The first wire is located in the x-y   plane at (3.15 cm, 1.13 cm), while the other is located at (5.14 cm, 4.22 cm). What is the force per unit length between the wires?


 * -a) 2.977E-11 N/m
 * -b) 3.274E-11 N/m
 * -c) 3.602E-11 N/m
 * -d) 3.962E-11 N/m
 * +e) 4.358E-11 N/m

125) Two loops of wire carry the same current of 43 kA, and flow in the same direction. They share a common axis and orientation.  One loop has a radius of 0.516 m while the other has a radius of 1.22 m.  What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.565 m from the first (smaller) loopif the disance between the loops is 1.78 m?


 * -a) 1.798E-02 T
 * -b) 1.978E-02 T
 * -c) 2.176E-02 T
 * +d) 2.394E-02 T
 * -e) 2.633E-02 T

126) Under most conditions the current is distributed uniformly over the cross section of the wire.  What is the magnetic field 1.18 mm from the center of a wire of radius 3 mm if the current is 1A?


 * -a) 1.791E-05 T
 * -b) 1.970E-05 T
 * -c) 2.167E-05 T
 * -d) 2.384E-05 T
 * +e) 2.622E-05 T

127) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for $$r<a$$ is, $$B_\theta (r)=\left( \frac{2r}{a} - \frac{r^2}{a^2}\right)B_{max}$$, where $$B_{max}$$ is the maximum magnetic field (at $$r=a$$).  If $$a=$$ 0.37 m and $$B_{max}=\,$$ 0.556 T, then how much current (in the z-direction) flows through a circle of radius $$r=$$ 0.14 m that is centered on the axis with its plane perpendicular to the axis?


 * -a) 2.171E+05 A
 * +b) 2.388E+05 A
 * -c) 2.627E+05 A
 * -d) 2.890E+05 A
 * -e) 3.179E+05 A

128) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.85 kA, I2=1.8 kA, and I3=4.89 kA, take the $$\beta$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * -a) 3.530E-03 T-m
 * +b) 3.883E-03 T-m
 * -c) 4.271E-03 T-m
 * -d) 4.698E-03 T-m
 * -e) 5.168E-03 T-m

129) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.78 kA, I2=2.61 kA, and I3=3.76 kA, take the $$\omega$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * +a) 4.939E-03 T-m
 * -b) 5.432E-03 T-m
 * -c) 5.976E-03 T-m
 * -d) 6.573E-03 T-m
 * -e) 7.231E-03 T-m

130) A solenoid has 4.730E+04 turns wound around a cylinder of diameter 1.46 cm and length 15 m. The current through the coils is 0.754 A.  Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $$\int\vec B\cdot\vec\ell$$ alongthe axis from z=&minus;3.4 cm to z=+1.14 cm


 * -a) 1.121E-04 T-m
 * -b) 1.233E-04 T-m
 * +c) 1.356E-04 T-m
 * -d) 1.492E-04 T-m
 * -e) 1.641E-04 T-m

131) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 27 turns per centimeter and the current applied to the solenoid is 280 mA, the net magnetic field is measured to be 1.13 T. What is the magnetic susceptibility for this case?


 * +a) $$\chi \text{ (chi) }=$$ 1.188E+03
 * -b) $$\chi \text{ (chi) }=$$ 1.307E+03
 * -c) $$\chi \text{ (chi) }=$$ 1.438E+03
 * -d) $$\chi \text{ (chi) }=$$ 1.582E+03
 * -e) $$\chi \text{ (chi) }=$$ 1.740E+03

132) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 &mu;T. The kinetic energy is 437 keV.  What is the radius of particle's orbit?


 * -a) 1.3 x 102 m.
 * -b) 4.1 x 102 m.
 * -c) 1.3 x 103 m.
 * -d) 4.1 x 103 m.
 * +e) 1.3 x 104 m.

133) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?


 * -a) 2.36 x 10-3 newtons
 * -b) 7.47 x 10-3 newtons
 * -c) 2.36 x 10-2 newtons
 * +d) 7.47 x 10-2 newtons
 * -e) 2.36 x 10-1 newtons

134) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm.  What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?


 * -a) 5.14 x 10-5 Volts
 * +b) 1.62 x 10-4 Volts
 * -c) 5.14 x 10-4 Volts
 * -d) 1.62 x 10-3 Volts
 * -e) 5.14 x 10-3 Volts

135) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal.  To counter the magnetic force, a voltage is applied between two large parallel plates that are 59  mm apart.  What must be the applied voltage if the magnetic field is 45&mu;T?


 * -a) 1.1 x 100 volts
 * -b) 3.6 x 100 volts
 * -c) 1.1 x 101 volts
 * +d) 3.6 x 101 volts
 * -e) 1.1 x 102 volts

136) Amphere's law for magnetostatic currents is that $$\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$$ equals the current enclosed by the closed loop, and $$B=\mu_0H$$ is the magnetic field. A current of 5A flows upward along the z axis. Noting that for this geometry, $$\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$$, calculate the line integral $$\oint d\ell$$ for a circle of radius 5.4m.


 * -a) 3.09E+01 m
 * +b) 3.39E+01 m
 * -c) 3.72E+01 m
 * -d) 4.08E+01 m
 * -e) 4.47E+01 m

137) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H$$ at a distance of 7.9m from a wire carrying a current of 6.8A?


 * -a) 1.14E-01 A/m
 * -b) 1.25E-01 A/m
 * +c) 1.37E-01 A/m
 * -d) 1.50E-01 A/m
 * -e) 1.65E-01 A/m

138) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H_y$$ at the point (2.2104,5.6854) if a current of 5.8A flows through a wire that runs along the z axis?


 * -a) 4.16E-02 A/m
 * -b) 4.56E-02 A/m
 * -c) 5.00E-02 A/m
 * +d) 5.48E-02 A/m
 * -e) 6.01E-02 A/m

139) A very long and thin solenoid has 2066 turns and is 156 meters long. The wire carrys a current of 7.6A. What is the magnetic field in the center?


 * -a) 8.75E-05 Tesla
 * -b) 9.59E-05 Tesla
 * -c) 1.05E-04 Tesla
 * -d) 1.15E-04 Tesla
 * +e) 1.26E-04 Tesla

140) A very long and thin solenoid has 2376 turns and is 156 meters long. The wire carrys a current of 7.6A. If this solenoid is sufficiently thin, what is the line integral of$$\int \vec H\cdot\vec{d\ell}$$ along an on-axis path that starts 49 meters from the center and stops 102 meters from the center?


 * -a) 2.32E+03 A
 * -b) 2.55E+03 A
 * -c) 2.79E+03 A
 * -d) 3.06E+03 A
 * +e) 3.36E+03 A

141) A torus is centered around the x-y plane, with major radius, a = 3.24 m, and  minor radius, r = 1.35m.  A wire carrying 4.9A is uniformly wrapped with 731 turns.  If  B=&mu;0H is the magnetic field, what is H inside the torus, at a point on the xy plane that is 0.81m from the outermost edge of the torus?


 * +a) 1.11E+02 amps per meter
 * -b) 1.20E+02 amps per meter
 * -c) 1.30E+02 amps per meter
 * -d) 1.40E+02 amps per meter
 * -e) 1.51E+02 amps per meter

142) H is defined by, B=&mu;0H, where B is magnetic field. A current of 91A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,7.3) to the point (7.3,0).


 * +a) 2.28E+01 amps
 * -b) 2.49E+01 amps
 * -c) 2.74E+01 amps
 * -d) 3.00E+01 amps
 * -e) 3.29E+01 amps

143) H is defined by, B=&mu;0H, where B is magnetic field. A current of 51A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point ( - 7, 7) to the point (7, 7).


 * -a) 9.67E+00 amps
 * -b) 1.06E+01 amps
 * -c) 1.16E+01 amps
 * +d) 1.28E+01 amps
 * -e) 1.40E+01 amps

144) H is defined by, B=&mu;0H, where B is magnetic field. A current of 48A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,8.4) to the point (8.4,8.4).


 * -a) 5.47E+00 amps
 * +b) 6.00E+00 amps
 * -c) 6.58E+00 amps
 * -d) 7.21E+00 amps
 * -e) 7.91E+00 amps

145) H is defined by, B=&mu;0H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from  ( -&infin; ,9.4) to (+ &infin; ,9.4).


 * -a) 3.25E+01 amps
 * -b) 3.57E+01 amps
 * -c) 3.91E+01 amps
 * -d) 4.29E+01 amps
 * +e) 4.70E+01 amps

146) A square coil has sides that are L= 0.819 m long and is tightly wound with N=887 turns of wire. The resistance of the coil is R=5.69 &Omega;. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0618 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?


 * -a) 4.414E+00 A
 * -b) 4.855E+00 A
 * -c) 5.341E+00 A
 * -d) 5.875E+00 A
 * +e) 6.462E+00 A

147) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.869 m. The magnetic field is spatially uniform but decays in time according to $$(4.01)e^{-\alpha t}$$, where $$\alpha=$$5.66 s. What is the current in the coil if the impedance of the coil is 32.8 &Omega;?


 * -a) 9.191E-01 A
 * -b) 1.011E+00 A
 * +c) 1.112E+00 A
 * -d) 1.223E+00 A
 * -e) 1.346E+00 A

148) The current through the windings of a solenoid with n= 2.980E+03 turns per meter is changing at a rate dI/dt=9 A/s. The solenoid is 88 cm long and has a cross-sectional diameter of 2.69 cm.  A small coil consisting of N=28turns wraped in a circle of diameter 1.64 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil.  What is the emf induced in the coil?


 * -a) 1.498E-04 V
 * -b) 1.647E-04 V
 * -c) 1.812E-04 V
 * +d) 1.993E-04 V
 * -e) 2.193E-04 V

149) Calculate the motional emf induced along a 25.2 km conductor moving at an orbital speed of 7.72 km/s perpendicular to Earth's 4.900E-05 Tesla magnetic field.


 * -a) 7.162E+03 V
 * -b) 7.878E+03 V
 * -c) 8.666E+03 V
 * +d) 9.533E+03 V
 * -e) 1.049E+04 V

150) A cylinder of height 1.68 cm and radius 2.74 cm is cut into a wedge as shown. Now imagine that the volume grows as &theta; increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 1.78 cm from point O and moves at a speed of 3.44 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.) --(Answer & Why this question is different.)


 * -a) 8.324E+00 cm3/s
 * -b) 9.157E+00 cm3/s
 * -c) 1.007E+01 cm3/s
 * -d) 1.108E+01 cm3/s
 * +e) 1.219E+01 cm3/s

151) A recangular coil with an area of 0.178 m2 and 17 turns is placed in a uniform magnetic field of 2.62 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 4.380E+03 s&minus;1.  What is the magnitude (absolute value) of the induced emf at t = 45 s?


 * -a) 1.068E+04 V
 * -b) 1.175E+04 V
 * +c) 1.293E+04 V
 * -d) 1.422E+04 V
 * -e) 1.564E+04 V

152) A spatially uniform magnetic points in the z-direction and oscilates with time as $$\vec B(t) = B_0\sin\omega t $$ where $$B_0=$$3.11 T and $$\omega=$$1.150E+03 s&minus;1. Suppose the electric field is always zero at point $$\mathcal O$$, and consider a circle of radius 0.171 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral $$\oint \vec B\cdot d\vec s$$ around the circle.


 * -a) 2.887E+03 V
 * -b) 3.176E+03 V
 * -c) 3.493E+03 V
 * +d) 3.843E+03 V
 * -e) 4.227E+03 V

153) A long solenoid has a radius of 0.644 m and 20 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$7 A and $$\alpha=$$27 s&minus;1.What is the induced electric fied at a distance 2.84 m from the axis at time t=0.083 s ?


 * -a) 3.353E-05 V/m
 * +b) 3.689E-05 V/m
 * -c) 4.058E-05 V/m
 * -d) 4.463E-05 V/m
 * -e) 4.910E-05 V/m

154) A long solenoid has a radius of 0.517 m and 23 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$1 A and $$\alpha=$$30 s&minus;1.What is the induced electric fied at a distance 0.162 m from the axis at time t=0.0679 s ?


 * -a) 6.256E-06 V/m
 * -b) 6.882E-06 V/m
 * -c) 7.570E-06 V/m
 * -d) 8.327E-06 V/m
 * +e) 9.160E-06 V/m

155) A long solenoid has a length 0.896 meters, radius 4.28 cm, and 550 turns. It surrounds  coil of radius 6.65 meters and 9turns.  If the current in the solenoid is changing at a rate of 204 A/s, what is the emf induced in the surounding coil?


 * -a) 2.328E-02 V
 * +b) 2.560E-02 V
 * -c) 2.817E-02 V
 * -d) 3.098E-02 V
 * -e) 3.408E-02 V

156) An induced emf of 1.92V is measured across a coil of 74 closely wound turns while the current throuth it increases uniformly from 0.0 to 6.38A in 0.69s. What is the self-inductance of the coil?


 * -a) 1.560E-01 H
 * -b) 1.716E-01 H
 * -c) 1.888E-01 H
 * +d) 2.076E-01 H
 * -e) 2.284E-01 H

157) A washer has an inner diameter of 2.37 cm and an outer diamter of 4.84 cm. The thickness is $$h=Cr^{-n}$$ where $$r$$ is measured in cm, $$C=4.67mm$$, and $$n=2.56$$. What is the volume of the washer?


 * +a) 1.570E+00 cm3
 * -b) 1.727E+00 cm3
 * -c) 1.900E+00 cm3
 * -d) 2.090E+00 cm3
 * -e) 2.299E+00 cm3

158) Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =3.96 s if &epsilon; = 4.92 V, R = 5.02 &Omega;, and L = 5.0 H?


 * +a) 9.618E-01 V
 * -b) 1.154E+00 V
 * -c) 1.385E+00 V
 * -d) 1.662E+00 V
 * -e) 1.994E+00 V

159) Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is  opened as as S2 is closed.  How long will it take for the energy stored in the inductor to be reduced to 2.7% of its maximum value if &epsilon; = 7.67 V, R = 2.45 &Omega;, and L = 7.81 H?


 * +a) -5.757E+00 s
 * -b) -6.333E+00 s
 * -c) -6.966E+00 s
 * -d) -7.663E+00 s
 * -e) -8.429E+00 s

160) In an LC circuit, the self-inductance is 0.0262 H and the capacitance is 4.540E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 4.700E-05 C. How long does it take for the capacitor to become completely discharged?


 * -a) 4.070E-04 s
 * -b) 4.477E-04 s
 * -c) 4.925E-04 s
 * +d) 5.417E-04 s
 * -e) 5.959E-04 s

161) An ac generator produces an emf of amplitude 7 V at a frequency of 190 Hz. What is the maximum amplitude of the current if the generator is connected to a  44 mF inductor?


 * -a) 9.102E-02 A
 * -b) 1.001E-01 A
 * -c) 1.101E-01 A
 * -d) 1.211E-01 A
 * +e) 1.333E-01 A

162) An ac generator produces an emf of amplitude 87 V at a frequency of 44 Hz. What is the maximum amplitude of the current if the generator is connected to a  9 mF capacitor?


 * -a) 1.626E-01 A
 * -b) 1.789E-01 A
 * -c) 1.968E-01 A
 * +d) 2.165E-01 A
 * -e) 2.381E-01 A

163) The output of an ac generator connected to an RLC series combination has a frequency of 540 Hz and an amplitude of 0.18 V;. If R =3 &Omega;, L= 2.50E-03H, and C=8.20E-04 F, what is the impedance?


 * -a) 7.872E+00 &Omega;
 * +b) 8.659E+00 &Omega;
 * -c) 9.525E+00 &Omega;
 * -d) 1.048E+01 &Omega;
 * -e) 1.153E+01 &Omega;

164) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.23 V;. If R =4 &Omega;, L= 7.70E-03H, and C=9.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?


 * -a) 1.329E+00 &rad;
 * +b) 1.462E+00 &rad;
 * -c) 1.608E+00 &rad;
 * -d) 1.769E+00 &rad;
 * -e) 1.946E+00 &rad;

165) The output of an ac generator connected to an RLC series combination has a frequency of 3.50E+04 Hz and an amplitude of 8 V. If R =7 &Omega;, L= 9.40E-03H, and C=8.50E-06 F, what is the rms power transferred to the resistor?


 * +a) 2.111E-03 Watts
 * -b) 2.323E-03 Watts
 * -c) 2.555E-03 Watts
 * -d) 2.810E-03 Watts
 * -e) 3.091E-03 Watts

166) An RLC series combination is driven with an applied voltage of of V=V0sin(&omega;t), where V0=0.25 V. The resistance, inductance, and capacitance are R =3 &Omega;, L= 2.20E-03H, and C=6.30E-04 F, respectively. What is the amplitude of the current?


 * -a) 7.576E-02 A
 * +b) 8.333E-02 A
 * -c) 9.167E-02 A
 * -d) 1.008E-01 A
 * -e) 1.109E-01 A

167) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC and only twoimpedances are involved,  Q=&equiv;&omega;0L/R is definedso that Q is large if the resistance is low.  Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V0sin(&omega;t), where V0=4 V. The resistance, inductance, and capacitance are R =0.2 &Omega;, L= 5.00E-03H, and C=3.20E-06 F, respectively.


 * -a) Q = 1.300E+02
 * -b) Q = 1.494E+02
 * -c) Q = 1.719E+02
 * +d) Q = 1.976E+02
 * -e) Q = 2.273E+02

168) A step-down transformer steps 8 kV down to 220 V. The high-voltage input is provided by a 110 &Omega; power line that carries 8 A of currentWhat is the output current (at the 220 V side ?)


 * -a) 2.404E+02 A
 * -b) 2.645E+02 A
 * +c) 2.909E+02 A
 * -d) 3.200E+02 A
 * -e) 3.520E+02 A

169) Two orbiting satellites are orbiting at a speed of 52 km/s perpendicular to a magnetic field of 41 &mu;T. They are connected by a cable that is 33 km long.  A voltmeter is attached between a satellite and one end of the cable.  The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit.  What is the measured voltage?


 * -a) 4.79 x 104 volts.
 * -b) 5.81 x 104 volts.
 * +c) 7.04 x 104 volts.
 * -d) 8.52 x 104 volts.
 * -e) 1.03 x 105 volts.

170) An loop of wire with 43 turns has a radius of 0.27 meters, and is oriented with its axis parallel to a magetic field of 0.68 Tesla. What is the induced voltage if this field is reduced to  36% of its original value in 3.8 seconds?


 * -a) 6.34 x 10-1 volts
 * -b) 7.68 x 10-1 volts
 * -c) 9.31 x 10-1 volts
 * +d) 1.13 x 100 volts
 * -e) 1.37 x 100 volts

171) A 819 mF capacitor is connected in series to a 798 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 8.27 x 105 s.
 * +b) 2.61 x 106 s.
 * -c) 8.27 x 106 s.
 * -d) 2.61 x 107 s.
 * -e) 8.27 x 107 s.

172) A 65 &mu;F capacitor is connected in series to a 414 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 1.08 x 101 s.
 * -b) 3.4 x 101 s.
 * +c) 1.08 x 102 s.
 * -d) 3.4 x 102 s.
 * -e) 1.08 x 103 s.

173) A 727 mF capacitor is connected in series to a 860 M&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)


 * +a) 1.88 x 109 s.
 * -b) 5.93 x 109 s.
 * -c) 1.88 x 1010 s.
 * -d) 5.93 x 1010 s.
 * -e) 1.88 x 1011 s.

174) A 10 F capacitor is connected in series to a 10&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 4 x 100 s.
 * -b) 1.26 x 101 s.
 * -c) 4 x 101 s.
 * -d) 1.26 x 102 s.
 * +e) 4 x 102 s.

175) A parallel plate capacitor with a capicatnce C=7.40E-06 F whose plates have an area A=7.20E+03 m2 and separation d=8.60E-03 m is connected via a swith to a 14 &Omega; resistor and a battery of voltage V0=16 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.50E-04?


 * -a) 9.195E+00 V
 * -b) 1.011E+01 V
 * -c) 1.113E+01 V
 * +d) 1.224E+01 V
 * -e) 1.346E+01 V

176) A parallel plate capacitor with a capicatnce C=2.60E-06 F whose plates have an area A=2.60E+03 m2 and separation d=9.00E-03 m is connected via a swith to a 41 &Omega; resistor and a battery of voltage V0=91 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=3.00E-04?


 * +a) 9.505E+03 V/m
 * -b) 1.046E+04 V/m
 * -c) 1.150E+04 V/m
 * -d) 1.265E+04 V/m
 * -e) 1.392E+04 V/m

177) A parallel plate capacitor with a capicatnce C=7.60E-06 F whose plates have an area A=4.00E+03 m2 and separation d=4.70E-03 m is connected via a swith to a 38 &Omega; resistor and a battery of voltage V0=28 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=8.10E-04?


 * -a) 3.351E-02 A
 * -b) 3.686E-02 A
 * -c) 4.054E-02 A
 * +d) 4.460E-02 A
 * -e) 4.906E-02 A

178) A 59 kW radio transmitter on Earth sends it signal to a satellite 150 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 73 kW?


 * -a) 1.517E+02 km
 * +b) 1.669E+02 km
 * -c) 1.835E+02 km
 * -d) 2.019E+02 km
 * -e) 2.221E+02 km

179) What is the radiation pressure on an object that is 8.10E+11 m away from the sun and has cross-sectional area of 0.057 m2? The average power output of the Sun is 3.80E+26 W.


 * +a) 3.075E-07 N/m2
 * -b) 3.382E-07 N/m2
 * -c) 3.720E-07 N/m2
 * -d) 4.092E-07 N/m2
 * -e) 4.502E-07 N/m2

180) What is the radiation force on an object that is 7.40E+11 m away from the sun and has cross-sectional area of 0.082 m2? The average power output of the Sun is 3.80E+26 W.


 * -a) 2.063E-08 N
 * -b) 2.270E-08 N
 * -c) 2.497E-08 N
 * -d) 2.746E-08 N
 * +e) 3.021E-08 N

181) A circlular capactitor of radius 4.6 m has a gap of 12 mm, and a charge of 45 &mu;C.  What is the electric field between the plates?


 * -a) 6.31E+04 N/C (or V/m)
 * +b) 7.65E+04 N/C (or V/m)
 * -c) 9.26E+04 N/C (or V/m)
 * -d) 1.12E+05 N/C (or V/m)
 * -e) 1.36E+05 N/C (or V/m)

182) A circlular capactitor of radius 4.4 m has a gap of 17 mm, and a charge of 65 &mu;C.  Compute the surface integral  $$c^{-2}\oint\vec E\cdot d\vec A$$ over an inner face of the capacitor.


 * -a) 5.56E-11 Vs2m-1
 * -b) 6.74E-11 Vs2m-1
 * +c) 8.17E-11 Vs2m-1
 * -d) 9.90E-11 Vs2m-1
 * -e) 1.20E-10 Vs2m-1

183) A circlular capactitor of radius 4.7 m has a gap of 19 mm, and a charge of 27 &mu;C.  The capacitor is discharged through a  6 k&Omega; resistor.  What is the decay time?


 * -a) 1.60E-04 s
 * +b) 1.94E-04 s
 * -c) 2.35E-04 s
 * -d) 2.85E-04 s
 * -e) 3.45E-04 s

184) A circlular capactitor of radius 4.6 m has a gap of 18 mm, and a charge of 44 &mu;C.  The capacitor is discharged through a  7 k&Omega; resistor.  What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)


 * -a) 6.64E-09 Tesla
 * +b) 8.36E-09 Tesla
 * -c) 1.05E-08 Tesla
 * -d) 1.32E-08 Tesla
 * -e) 1.67E-08 Tesla

185) Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * +a) how a nearsighted person might see a distant object
 * -b) how a farsighted person might see an object that is too close for comfort
 * -c) how a farsighted person might see a distant object
 * -d) how a nearsighted person might see an object that is too close for comfort

186)  Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * -a) how a farsighted person might see a distant object
 * +b) how a farsighted person might see an object that is too close for comfort
 * -c) how a nearsighted person might see an object that is too close for comfort
 * -d) how a nearsighted person might see a distant object

187) In optics, normal means
 * -a) to the left of the optical axis
 * +b) perpendicular to the surface
 * -c) parallel to the surface
 * -d) to the right of the optical axis

188) The law of reflection applies to
 * -a) only light in a vacuum
 * +b) both flat and curved surfaces
 * -c) telescopes but not microscopes
 * -d) curved surfaces
 * -e) flat surfaces

189) When light passes from air to glass
 * +a) it bends towards the normal
 * -b) it does not bend
 * -c) the frequency decreases
 * -d) it bends away from the normal
 * -e) the frequency increases

190) When light passes from glass to air
 * +a) it bends away from the normal
 * -b) it bends towards the normal
 * -c) it does not bend
 * -d) the frequency decreases
 * -e) the frequency increases

191) An important principle that allows fiber optics to work is
 * -a) the Doppler shift
 * -b) partial internal absorption
 * -c) total external refraction
 * -d) the invariance of the speed of light
 * +e) total internal reflection

192) The focal point is where
 * -a) the center of the lens
 * -b) rays meet whenever they are forming an image
 * -c) rays meet if they are parallel to each other
 * -d) rays meet whenever they pass through a lens
 * +e) rays meet if they were parallel to the optical axis before striking a lens

193) An object is placed 3.5 cm to the left of a diverging lens with a focal length of 5.6 cm. How far is the image from the lens?


 * -a) 2.15 x 10-1 cm
 * -b) 3.83 x 10-1 cm
 * -c) 6.81 x 10-1 cm
 * -d) 1.21 x 100 cm
 * +e) 2.15 x 100 cm

194) An object is placed 3.55 cm to the left of a converging lens with a focal length of 6.8 cm. How far is the image from the lens?


 * -a) 4.18 x 100 cm
 * +b) 7.43 x 100 cm
 * -c) 1.32 x 101 cm
 * -d) 2.35 x 101 cm
 * -e) 4.18 x 101 cm

195) An object of height 0.67 cm is placed 106 cm behind a diverging lens with a focal length of 61 cm. What is the height of the image?


 * -a) 1.18 x 10-1 cm
 * -b) 1.42 x 10-1 cm
 * -c) 1.7 x 10-1 cm
 * -d) 2.04 x 10-1 cm
 * +e) 2.45 x 10-1 cm

196) An object is placed 10.2 cm to the left of a diverging lens with a focal length of 16.6 cm. On the side, at a distance of 5.6 cm from the diverging lens is a converging lens with focal length equal to 4 cm.  How far is the final image from the converging lens?


 * -a) 6.02 x 10-1 cm
 * -b) 1.9 x 100 cm
 * +c) 6.02 x 100 cm
 * -d) 1.9 x 101 cm
 * -e) 6.02 x 101 cm

197) Which lens has the shorter focal length?
 * -a) They have the same focal lengh.
 * -b) Ray drawing eye schematic01.svg
 * +c) Ray_drawing_eye_schematic.svg

198) If this represents the eye looking at an object, where is this object?
 * +a) Two (of the other answers) are true
 * -b) directly in front of the eye (almost touching)
 * -c) One focal length in front of the eye
 * -d) at infinity
 * -e) very far away

199) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.
 * -a) true
 * +b) false

200) Mr. Smith is gazing at something as shown in the figure to the left.  Suppose he does not refocus, but attempts to stare at the star shown in the figures below.  Which diagram depicts how the rays from the star would travel if he does not refocus?
 * -a) Ray_drawing_eye_schematic_alternate.svg
 * -b) Ray drawing eye Wrong Answer.svg
 * +c) Ray drawing eye schematic02.svg

201) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * -a) lose 1 point
 * -b) win 3 points
 * +c) lose 3 points
 * -d) be disqualified for cheating
 * -e) win 1 point

202) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * +a) win 1 point
 * -b) lose 1 point
 * -c) be disqualified for cheating
 * -d) win 3 points
 * -e) lose 3 points

203) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * -a) none of these are true
 * -b) K and K&clubs;
 * -c) K&spades; and K&clubs;
 * -d) K and K&spades;
 * +e) two of these are true

204) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following loses?
 * -a) none of these are true
 * -b) K&spades; and K&clubs;
 * +c) K and K&clubs;
 * -d) two of these are true
 * -e) K and K&spades;

205) If you play the solitaire game 6 times, you will on average win ___ times.
 * -a) 2
 * -b) 5
 * -c) 6
 * +d) 4
 * -e) 3

206) If you play the solitaire game 3 times, you will on average lose ___ times.
 * -a) 5
 * -b) 3
 * -c) 2
 * +d) 1
 * -e) 4

207) If you play the solitaire game 6 times, you will on average lose ___ times.
 * -a) 3
 * +b) 2
 * -c) 6
 * -d) 4
 * -e) 5

208) If you play the solitaire game 3 times, you will on average win ___ times.
 * +a) 2
 * -b) 4
 * -c) 3
 * -d) 5
 * -e) 1

209) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * -a) parallel
 * -b) all of these are possible
 * -c) at 45 degrees
 * +d) perpendicular

210) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * -a) linear or elliptical
 * -b) circular or linear
 * +c) circular or elliptical
 * -d) linearly
 * -e) circular

211) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * -a) pendulum
 * -b) electromagnetic
 * -c) both can be created
 * +d) electromagnetic or pendulum

212) To create an unpolarized pendulum oscillation
 * -a) create an elliptically polarized wave with an &epsilon;<0.8
 * +b) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
 * -c) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * -d) create an elliptically polarized wave with an &epsilon;>0.2

213) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$\sqrt 2$$ what is the length of each side?
 * -a) $$\tfrac 1 2$$
 * -b) $$\tfrac 1 \sqrt 2$$
 * -c) $$2\sqrt 2$$
 * -d) $$1$$
 * +e) $$\sqrt 2$$

214) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * -a) $$2\sqrt 2$$
 * -b) $$\sqrt 2$$
 * -c) $$1$$
 * +d) $$\tfrac 1 \sqrt 2$$
 * -e) $$\tfrac 1 2$$

215) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * -a) $$ \tfrac 1 4$$
 * -b) $$\tfrac 1 \sqrt 2$$
 * -c) $$\tfrac \sqrt 3 2$$
 * +d) $$\tfrac 1 2$$
 * -e) $$\tfrac 3 4$$

216) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * -a) $$ \tfrac 1 4$$
 * -b) $$\tfrac 1 2$$
 * -c) $$\tfrac 3 4$$
 * -d) $$\tfrac 1 \sqrt 2$$
 * +e) $$\tfrac \sqrt 3 2$$

217) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * -a) $$\tfrac 1 2$$
 * -b) $$\tfrac 3 4$$
 * -c) $$\tfrac 1 \sqrt 2$$
 * -d) $$\tfrac 1 4$$
 * +e) $$\tfrac \sqrt 3 2$$

218) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 60&deg; to that field?
 * -a) $$\tfrac 1 4$$
 * -b) $$\tfrac 3 4$$
 * -c) $$\tfrac 1 \sqrt 2$$
 * -d) $$\tfrac \sqrt 3 2$$
 * +e) $$\tfrac 1 2$$

219) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * -a) 6mW
 * +b) 9mW
 * -c) 8mW
 * -d) 3mW
 * -e) 4mW

220) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * -a) 8mW
 * +b) 3mW
 * -c) 9mW
 * -d) 4mW
 * -e) 6mW

221) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * -a) 6mW
 * -b) 8mW
 * -c) 3mW
 * -d) 4mW
 * +e) 9mW

222) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * -a) 9mW
 * +b) 3mW
 * -c) 8mW
 * -d) 4mW
 * -e) 6mW

223) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * +a) 6mW
 * -b) 3mW
 * -c) 9mW
 * -d) 8mW
 * -e) 4mW

224) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 1/16
 * +b) 1/8
 * -c) 3/32
 * -d) 3/16
 * -e) 1/32

225) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * +a) linearly
 * -b) circular
 * -c) linear or elliptical
 * -d) circular or linear
 * -e) circular or elliptical

226) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * +a) 3/32
 * -b) 3/16
 * -c) 1/32
 * -d) 1/8
 * -e) 1/16

227) If the wavelength &lambda; associated with a photon is cut in half, the photon's energy E
 * -a) is cut in half
 * -b) is reduced by a factor of 4
 * +c) becomes twice as big
 * -d) becomes 4 times as big
 * -e) stays the same

228) If the wavelength &lambda; associated with a photon doubles, the photon's frequency f
 * -a) is reduced by a factor of 4
 * +b) is cut in half
 * -c) becomes twice as big
 * -d) becomes 4 times as big
 * -e) stays the same

229) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * -a) is cut in half
 * -b) stays the same
 * +c) is reduced by a factor of 4
 * -d) becomes 4 times as big
 * -e) becomes twice as big

230) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * -a) is reduced by a factor of 4
 * +b) becomes 4 times as big
 * -c) stays the same
 * -d) is cut in half
 * -e) becomes twice as big

231) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy
 * -a) stays the same
 * -b) increases by 4 eV
 * -c) decreases by 2 eV
 * -d) increases by 2 eV
 * +e) decreases by 4 eV

232) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * -a) decreases by 4 eV
 * -b) stays the same
 * +c) increases by 2 eV
 * -d) increases by 4 eV
 * -e) decreases by 2 eV

233) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * +a) less than 3 eV
 * -b) equal to 6 eV
 * -c) zero
 * -d) greater than 3 eV
 * -e) equal to 3 eV

234) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?
 * -a) measuring spin
 * +b) stopping the electron with an applied voltage
 * -c) deflecting the electron with a magnetic field
 * -d) measuring polarization
 * -e) measuring both spin and polarization

235) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * -a) increases by 4 eV
 * -b) decreases by 2 eV
 * -c) stays the same
 * +d) decreases by 4 eV
 * -e) increases by 2 eV

236) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?
 * +a) 4x1018
 * -b) 6x1018
 * -c) 2x1018
 * -d) 1018
 * -e) 8x1018

237) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * -a) No unique answer exists because two variables are involved (temperature and volume).
 * +b) The hotter object has a greater energy density.
 * -c) They have the same energy density (since the holes are identical).
 * -d) The larger object has a greater energy density.

238) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?
 * -a) They both emit the same number of photons (since the holes are identical).
 * -b) The object with the greater volume.
 * +c) The object with the greater temperature emits more.
 * -d) No unique answer exists because two variables are involved (temperature and volume).

239) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?
 * +a) No unique answer exists because two variables are involved (temperature and volume).
 * -b) They have the same energy (since the holes are identical).
 * -c) The larger object has a greater energy.
 * -d) The hotter object has a greater energy.

240) This figure is associated with
 * -a) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * +d) Evidence presented in 1800 that light is a wave.
 * -e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

241) This figure is associated with
 * -a) Evidence presented in 1800 that light is a wave.
 * -b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * +e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

242) This figure is associated with
 * -a) Evidence presented in 1800 that light is a wave.
 * -b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * +c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * -e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

243) This figure is associated with
 * -a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * +c) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * -d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -e) Evidence presented in 1800 that light is a wave.

244) A photon is polarized at 5&deg; when it encounters a filter oriented at 35&deg;. What is the probability that it passes?
 * -a) 0
 * -b) 1/4
 * +c) 3/4
 * -d) 1/2
 * -e) 1

245) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * -a) 3/4
 * -b) 1/4
 * -c) 0
 * +d) 1/2
 * -e) 1

246) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * -a) 1
 * -b) 0
 * +c) 1/4
 * -d) 3/4
 * -e) 1/2

247) A photon is polarized at 10&deg; when it encounters a filter oriented at 40&deg;. What is the probability that it is blocked?
 * +a) 3/4
 * -b) 0
 * -c) 1/4
 * -d) 1/2
 * -e) 1

248) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * -a) 1
 * -b) 1/4
 * +c) 1/2
 * -d) 0
 * -e) 3/4

249) A photon is polarized at 5&deg; when it encounters a filter oriented at 65&deg;. What is the probability that it is blocked?
 * -a) 1/2
 * -b) 1
 * -c) 0
 * +d) 1/4
 * -e) 3/4

250) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it passes?
 * -a) 1
 * +b) 0
 * -c) 1/2
 * -d) 3/4
 * -e) 1/4

251) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * -a) 1/2
 * -b) 1/4
 * -c) 3/4
 * -d) 0
 * +e) 1

252) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 2/5
 * +b) 3/5
 * -c) 5/6
 * -d) 3/4
 * -e) 2/4=1/2

253) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * +a) 2/5
 * -b) 5/6
 * -c) 3/5
 * -d) 3/4
 * -e) 2/4=1/2

254) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * -a) 6/5
 * -b) 5/6
 * +c) 7/5
 * -d) 5/4
 * -e) 4/5

255) Calculate the quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * +a) +1/5
 * -b) +1
 * -c) &minus;2/5
 * -d) +2/5
 * -e) &minus;1/5
 * -f) 0

256) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * +a) &minus;1/5
 * -b) +1
 * -c) &minus;2/5
 * -d) 0
 * -e) +2/5
 * -f) +1/5

257) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
 * +a) 1/2
 * -b) 5/4
 * -c) 3/4
 * -d) 0
 * -e) 1/4
 * -f) 1

258) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
 * +a) 3/4
 * -b) 0
 * -c) 1/2
 * -d) 1
 * -e) 1/4
 * -f) 5/4

259) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * -a) 1/4
 * -b) 1
 * -c) 1/2
 * -d) 0
 * -e) 3/4
 * +f) 5/4

260) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * -a) 1/2
 * -b) 0
 * -c) 3/4
 * -d) 5/4
 * -e) 1
 * +f) 1/4

261) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
 * -a) 0
 * -b) 5/4
 * -c) 3/4
 * -d) 1/4
 * +e) 1
 * -f) 1/2

Key: B1
1) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H$$ at a distance of 6.1m from a wire carrying a current of 5.8A?


 * -a) 1.38E-01 A/m
 * +b) 1.51E-01 A/m
 * -c) 1.66E-01 A/m
 * -d) 1.82E-01 A/m
 * -e) 1.99E-01 A/m

2) A wire carries a current of 306 A in a circular arc with radius 2.04 cm swept through 55 degrees. Assuming that the rest of the current is 100% shielded by  mu-metal, what is the magnetic field at the center of the arc?


 * -a) 3.551E+00 Tesla
 * -b) 3.907E+00 Tesla
 * -c) 4.297E+00 Tesla
 * +d) 4.727E+00 Tesla
 * -e) 5.200E+00 Tesla

3) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where$$\mathcal F=$$
 * -a) 1/2
 * +b) 3/2
 * -c) 3
 * -d) 2

4) A circlular capactitor of radius 4.7 m has a gap of 19 mm, and a charge of 27 &mu;C.  The capacitor is discharged through a  6 k&Omega; resistor.  What is the decay time?


 * -a) 1.60E-04 s
 * +b) 1.94E-04 s
 * -c) 2.35E-04 s
 * -d) 2.85E-04 s
 * -e) 3.45E-04 s

5) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * -a) all of these are possible
 * -b) parallel
 * -c) at 45 degrees
 * +d) perpendicular

6) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2+1.45z)\rho^2\hat\rho +8.02z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{top}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the top surface of the cylinder.


 * -a) 3.742E+02
 * -b) 4.534E+02
 * -c) 5.493E+02
 * -d) 6.655E+02
 * +e) 8.063E+02

7) A long solenoid has a length 0.805 meters, radius 4.24 cm, and 536 turns. It surrounds  coil of radius 8.5 meters and 16turns.  If the current in the solenoid is changing at a rate of 278 A/s, what is the emf induced in the surounding coil?


 * +a) 6.604E-02 V
 * -b) 7.264E-02 V
 * -c) 7.990E-02 V
 * -d) 8.789E-02 V
 * -e) 9.668E-02 V

8) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * -a) none of these are correct
 * -b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * -c) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * +d) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * -e) $$ r^2\varepsilon_0 E=R^3\rho /3$$

9) What voltage is required to stop a proton moving at a speed of 5.2 x 107 m/s?


 * -a) 9.4 x 106 volts
 * +b) 1.4 x 107 volts
 * -c) 2.1 x 107 volts
 * -d) 3.2 x 107 volts
 * -e) 4.8 x 107 volts

10) An ac generator produces an emf of amplitude 17 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a  6 mF capacitor?


 * -a) 5.253E-02 A
 * -b) 5.778E-02 A
 * -c) 6.356E-02 A
 * -d) 6.991E-02 A
 * +e) 7.691E-02 A

11) A torus is centered around the x-y plane, with major radius, a = 6.48 m, and  minor radius, r = 2.16m.  A wire carrying 5A is uniformly wrapped with 930 turns.  If  B=&mu;0H is the magnetic field, what is H inside the torus, at a point on the xy plane that is 0.54m from the outermost edge of the torus?


 * -a) 5.31E+01 amps per meter
 * -b) 5.73E+01 amps per meter
 * -c) 6.19E+01 amps per meter
 * -d) 6.68E+01 amps per meter
 * +e) 7.21E+01 amps per meter

12) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 433 V.  If the combined external and internal resistance is 275 &Omega and the capacitance is  61 mF, how long will it take for the capacitor's voltage to reach 223.0 V?


 * -a) 1.104E+01 s
 * +b) 1.214E+01 s
 * -c) 1.335E+01 s
 * -d) 1.469E+01 s
 * -e) 1.616E+01 s

13) A step-down transformer steps 15 kV down to 240 V. The high-voltage input is provided by a 200 &Omega; power line that carries 4 A of currentWhat is the output current (at the 240 V side ?)


 * -a) 1.708E+02 A
 * -b) 1.878E+02 A
 * -c) 2.066E+02 A
 * -d) 2.273E+02 A
 * +e) 2.500E+02 A

14) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?
 * -a) $$\frac{6}{3}\Omega$$.
 * +b) $$\frac{6}{11}\Omega$$.
 * -c) $$\frac{3}{6}\Omega$$.
 * -d) $$\frac{11}{6}\Omega$$.

15) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?
 * -a) 3 Joules
 * +b) 25 Joules
 * -c) None of these are true
 * -d) 5 Joules

16) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * -a) linear or elliptical
 * -b) circular or linear
 * -c) circular
 * +d) linearly
 * -e) circular or elliptical

17) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal.  To counter the magnetic force, a voltage is applied between two large parallel plates that are 59  mm apart.  What must be the applied voltage if the magnetic field is 45&mu;T?


 * -a) 1.1 x 100 volts
 * -b) 3.6 x 100 volts
 * -c) 1.1 x 101 volts
 * +d) 3.6 x 101 volts
 * -e) 1.1 x 102 volts

18) How fast is a 2758 eV electron moving?


 * -a) 9.2 x 106 m/s.
 * -b) 1.4 x 107 m/s.
 * -c) 2.1 x 107 m/s.
 * +d) 3.1 x 107 m/s.
 * -e) 4.7 x 107 m/s.

19) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 3/4
 * +b) 2/5
 * -c) 5/6
 * -d) 2/4=1/2
 * -e) 3/5

20) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * -a) decreases by 4 eV
 * -b) stays the same
 * -c) decreases by 2 eV
 * +d) increases by 2 eV
 * -e) increases by 4 eV

21) A 130 Watt DC motor draws 0.3 amps of current. What is effective resistance?


 * -a) 8.12 x 102 &Omega;
 * -b) 9.84 x 102 &Omega;
 * -c) 1.19 x 103 &Omega;
 * +d) 1.44 x 103 &Omega;
 * -e) 1.75 x 103 &Omega;

22) A washer has an inner diameter of 2.46 cm and an outer diamter of 4.24 cm. The thickness is $$h=Cr^{-n}$$ where $$r$$ is measured in cm, $$C=4.32mm$$, and $$n=2.63$$. What is the volume of the washer?


 * -a) 7.499E-01 cm3
 * -b) 8.249E-01 cm3
 * -c) 9.074E-01 cm3
 * -d) 9.982E-01 cm3
 * +e) 1.098E+00 cm3

23) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy
 * -a) stays the same
 * -b) decreases by 2 eV
 * -c) increases by 4 eV
 * -d) increases by 2 eV
 * +e) decreases by 4 eV

24) What is the magnitude of the electric field at the origin if a 1.2 nC charge is placed at x = 5.9 m, and a 3.1 nC charge is placed at y = 6.1 m?


 * -a) 7.02 x 10-1N/C
 * +b) 8.11 x 10-1N/C
 * -c) 9.36 x 10-1N/C
 * -d) 1.08 x 100N/C
 * -e) 1.25 x 100N/C

25) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.43 kA, I2=1.64 kA, and I3=4.81 kA, take the $$\beta$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * -a) 2.721E-03 T-m
 * -b) 2.993E-03 T-m
 * -c) 3.292E-03 T-m
 * -d) 3.621E-03 T-m
 * +e) 3.984E-03 T-m

26) If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope?
 * -a) Power.
 * -b) None of these are true.
 * +c) Resistance.
 * -d) Discriminant.

27) Three resistors, R1 = 1.82 &Omega;, and R2 = R2 = 4.14 &Omega;, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * +a) 1.754E+01 W
 * -b) 1.929E+01 W
 * -c) 2.122E+01 W
 * -d) 2.335E+01 W
 * -e) 2.568E+01 W

28) The current through the windings of a solenoid with n= 2.220E+03 turns per meter is changing at a rate dI/dt=10 A/s. The solenoid is 70 cm long and has a cross-sectional diameter of 2.73 cm.  A small coil consisting of N=28turns wraped in a circle of diameter 1.45 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil.  What is the emf induced in the coil?


 * -a) 1.066E-04 V
 * -b) 1.173E-04 V
 * +c) 1.290E-04 V
 * -d) 1.419E-04 V
 * -e) 1.561E-04 V

29) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) none of these are correct
 * -b) $$\varepsilon_0 E = H\rho /2$$
 * -c) $$\varepsilon_0 E=  H\rho z$$
 * -d) $$\varepsilon_0 E=  H\rho $$
 * +e) $$\varepsilon_0 E=   \rho z $$

30) Two resistors are in parallel with a voltage source. How do their voltages compare?
 * -a) The voltage across both resistors is half the voltage of the source.
 * +b) The voltage across both resistors is the same as the source.
 * -c) None of these are true.
 * -d) One has full voltage, the other has none.

31) Calculate the resistance of a 12-gauge copper wire that is 19 m long and carries a current of 59 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * -a) 7.970E-02 &Omega;
 * -b) 8.767E-02 &Omega;
 * +c) 9.644E-02 &Omega;
 * -d) 1.061E-01 &Omega;
 * -e) 1.167E-01 &Omega;

32) An object is placed 10.9 cm to the left of a diverging lens with a focal length of 16.3 cm. On the side, at a distance of 5.7 cm from the diverging lens is a converging lens with focal length equal to 4 cm.  How far is the final image from the converging lens?


 * -a) 1.88 x 100 cm
 * +b) 5.94 x 100 cm
 * -c) 1.88 x 101 cm
 * -d) 5.94 x 101 cm
 * -e) 1.88 x 102 cm

33) Two orbiting satellites are orbiting at a speed of 66 km/s perpendicular to a magnetic field of 64 &mu;T. They are connected by a cable that is 37 km long.  A voltmeter is attached between a satellite and one end of the cable.  The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit.  What is the measured voltage?


 * -a) 1.29 x 105 volts.
 * +b) 1.56 x 105 volts.
 * -c) 1.89 x 105 volts.
 * -d) 2.29 x 105 volts.
 * -e) 2.78 x 105 volts.

34) A 65 &mu;F capacitor is connected in series to a 414 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 1.08 x 101 s.
 * -b) 3.4 x 101 s.
 * +c) 1.08 x 102 s.
 * -d) 3.4 x 102 s.
 * -e) 1.08 x 103 s.

35) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * -a) The larger object has a greater energy density.
 * +b) The hotter object has a greater energy density.
 * -c) They have the same energy density (since the holes are identical).
 * -d) No unique answer exists because two variables are involved (temperature and volume).

36) A power supply delivers 145 watts of power to a 132 ohm resistor.  What was the applied voltage?


 * -a) 6.42 x 101 volts
 * -b) 7.78 x 101 volts
 * -c) 9.43 x 101 volts
 * -d) 1.14 x 102 volts
 * +e) 1.38 x 102 volts

37) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * -a) 1
 * +b) 1/2
 * -c) 1/4
 * -d) 3/4
 * -e) 0

38) Calculate the quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * -a) 0
 * +b) +1/5
 * -c) &minus;2/5
 * -d) &minus;1/5
 * -e) +1
 * -f) +2/5

39) A 10 F capacitor is connected in series to a 10&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 4 x 100 s.
 * -b) 1.26 x 101 s.
 * -c) 4 x 101 s.
 * -d) 1.26 x 102 s.
 * +e) 4 x 102 s.

40) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 &deg; to a uniform magnetic fied of 0.193 T?


 * -a) 6.257E-07 N m
 * -b) 6.882E-07 N m
 * -c) 7.570E-07 N m
 * +d) 8.327E-07 N m
 * -e) 9.160E-07 N m

41) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=6\times 10^{-7}\text{m}$$. What is the magnitude of the net force on $$q_2$$ if $$q_1=3e$$, $$q_2=-7e$$, and $$q_3=5e$$?


 * -a) 9.958E-15 N
 * -b) 1.095E-14 N
 * -c) 1.205E-14 N
 * -d) 1.325E-14 N
 * +e) 1.458E-14 N

42) In optics, normal means
 * -a) to the left of the optical axis
 * -b) parallel to the surface
 * +c) perpendicular to the surface
 * -d) to the right of the optical axis

43) What is the radiation pressure on an object that is 2.40E+11 m away from the sun and has cross-sectional area of 0.052 m2? The average power output of the Sun is 3.80E+26 W.


 * -a) 2.392E-06 N/m2
 * -b) 2.631E-06 N/m2
 * -c) 2.894E-06 N/m2
 * -d) 3.184E-06 N/m2
 * +e) 3.502E-06 N/m2

44) A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed?
 * +a) 1.67 Watts
 * -b) 2.5 Watts
 * -c) None of these are ture.
 * -d) 11.67 Joules

45) An ideal 5.9 volt battery is connected to a 0.059 ohm resistor.  To measure the current an ammeter with a resistance of 24$$m\Omega$$ is used.  What current does the ammeter actually read?


 * +a) 71.1 A.
 * -b) 81.7 A.
 * -c) 94 A.
 * -d) 108.1 A.
 * -e) 124.3 A.

46) Two sources of emf &epsilon;1=18.6 V, and  &epsilon;2=5.63 V are oriented as shownin the circuit. The resistances are R1=3.9 k&Omega; and  R2=1.1 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.41 mA and I4=0.614 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * -a) 4.342E+00 V
 * -b) 4.776E+00 V
 * -c) 5.254E+00 V
 * +d) 5.779E+00 V
 * -e) 6.357E+00 V

47) The output of an ac generator connected to an RLC series combination has a frequency of 470 Hz and an amplitude of 0.67 V;. If R =4 &Omega;, L= 2.40E-03H, and C=5.10E-04 F, what is the impedance?


 * -a) 6.254E+00 &Omega;
 * -b) 6.879E+00 &Omega;
 * +c) 7.567E+00 &Omega;
 * -d) 8.324E+00 &Omega;
 * -e) 9.156E+00 &Omega;

48) What voltage is required accelerate an electron at rest to a speed of 1.7 x 105 m/s?


 * -a) 1.6 x 10-2 volts
 * -b) 2.4 x 10-2 volts
 * -c) 3.7 x 10-2 volts
 * -d) 5.5 x 10-2 volts
 * +e) 8.2 x 10-2 volts

49) The focal point is where
 * -a) rays meet whenever they pass through a lens
 * -b) rays meet if they are parallel to each other
 * -c) the center of the lens
 * -d) rays meet whenever they are forming an image
 * +e) rays meet if they were parallel to the optical axis before striking a lens

50) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * -a) 0
 * -b) 1/4
 * -c) 1
 * +d) 1/2
 * -e) 3/4

51) The output of an ac generator connected to an RLC series combination has a frequency of 320 Hz and an amplitude of 0.69 V;. If R =6 &Omega;, L= 6.80E-03H, and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?


 * +a) 1.143E+00 &rad;
 * -b) 1.257E+00 &rad;
 * -c) 1.382E+00 &rad;
 * -d) 1.521E+00 &rad;
 * -e) 1.673E+00 &rad;

52) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * -a) +2/5
 * +b) &minus;1/5
 * -c) +1/5
 * -d) 0
 * -e) +1
 * -f) &minus;2/5

53) A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?
 * -a) I = 5A &  P = 9W
 * -b) I = 5A &  P = 5W.
 * -c) I = 5A &  P = 3W.
 * +d) I = 5A &  P = 25W.

54) A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?
 * -a) 15V.
 * -b) 2V.
 * +c) 0.5V.
 * -d) 10V.

55) What is the current through R1, R2, R3, and R4 in the figure shown?
 * -a) $$I_1 = 10A$$; $$I_2 = 50A$$; $$I_3 = 33A$$; $$I_4 = 25A$$..
 * -b) $$I_1 = 0.25A$$; $$I_2 = 0.33A$$; $$I_3 = 0.5A$$; $$I_4 = 0.1A$$.
 * +c) $$I_1 = 1A$$; $$I_2 = 0.5A$$; $$I_3 = 0.33A$$; $$I_4 = 0.25A$$.
 * -d) $$I_1 = 1A$$; $$I_2 = 5A$$; $$I_3 = 3.3A$$; $$I_4 = 2.5A$$.

56) A make-believe metal has a density of 1.510E+04 kg/m3 and an atomic mass of 33.6 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.


 * -a) 2.236E+29 e&minus;/m3
 * -b) 2.459E+29 e&minus;/m3
 * +c) 2.705E+29 e&minus;/m3
 * -d) 2.976E+29 e&minus;/m3
 * -e) 3.274E+29 e&minus;/m3

57) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 4
 * +b) 8&minus;s
 * -c) s&minus;4
 * -d) 4&minus;s
 * -e) s&minus;8

58) In an LC circuit, the self-inductance is 0.0399 H and the capacitance is 8.450E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.480E-05 C. How long does it take for the capacitor to become completely discharged?


 * -a) 6.230E-04 s
 * -b) 6.853E-04 s
 * -c) 7.538E-04 s
 * -d) 8.292E-04 s
 * +e) 9.121E-04 s

59) In the circuit shown V=11.9 V, R1=2.75 &Omega;, R2=7.19 &Omega;, and R3=14.6 &Omega;. What is the power dissipated by R2?


 * +a) 7.982E+00 W
 * -b) 8.780E+00 W
 * -c) 9.658E+00 W
 * -d) 1.062E+01 W
 * -e) 1.169E+01 W

60) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) s&minus;8
 * -b) s&minus;4
 * -c) 8&minus;s
 * -d) 4&minus;s
 * +e) 4

61) A battery has an emf of 5.5 volts, and an internal resistance of 296 $$k\Omega$$. It is connected to a 3.3 $$M\Omega$$ resistor.  What power is developed in the 3.3  $$M\Omega$$ resistor?


 * +a) 7.72 $$\mu$$W.
 * -b) 8.88 $$\mu$$W.
 * -c) 10.21 $$\mu$$W.
 * -d) 11.74 $$\mu$$W.
 * -e) 13.5 $$\mu$$W.

62) What angle does the electric field at the origin make with the x-axis if a 2.9 nC charge is placed at x = -7.3 m, and a 1.7  nC charge is placed at y = -8.1 m?


 * +a) 2.55 x 101degrees
 * -b) 2.94 x 101degrees
 * -c) 3.4 x 101degrees
 * -d) 3.92 x 101degrees
 * -e) 4.53 x 101degrees

63) A very long and thin solenoid has 2994 turns and is 180 meters long. The wire carrys a current of 9.3A. If this solenoid is sufficiently thin, what is the line integral of$$\int \vec H\cdot\vec{d\ell}$$ along an on-axis path that starts 43 meters from the center and stops 101 meters from the center?


 * -a) 6.63E+03 A
 * +b) 7.27E+03 A
 * -c) 7.97E+03 A
 * -d) 8.74E+03 A
 * -e) 9.58E+03 A

64) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * -a) stays the same
 * -b) decreases by 2 eV
 * -c) increases by 4 eV
 * +d) decreases by 4 eV
 * -e) increases by 2 eV

65) If the wavelength &lambda; associated with a photon doubles, the photon's frequency f
 * -a) becomes 4 times as big
 * +b) is cut in half
 * -c) becomes twice as big
 * -d) stays the same
 * -e) is reduced by a factor of 4

66) When light passes from glass to air
 * -a) the frequency increases
 * +b) it bends away from the normal
 * -c) it does not bend
 * -d) it bends towards the normal
 * -e) the frequency decreases

67) Calculate the electric field in a 12-gauge copper wire that is 25 m long and carries a current of 43 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * +a) 2.182E-04 V/m
 * -b) 2.401E-04 V/m
 * -c) 2.641E-04 V/m
 * -d) 2.905E-04 V/m
 * -e) 3.195E-04 V/m

68) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * -a) 4/5
 * -b) 6/5
 * +c) 7/5
 * -d) 5/6
 * -e) 5/4

69) A very long and thin solenoid has 2762 turns and is 142 meters long. The wire carrys a current of 9.7A. What is the magnetic field in the center?


 * +a) 2.37E-04 Tesla
 * -b) 2.60E-04 Tesla
 * -c) 2.85E-04 Tesla
 * -d) 3.13E-04 Tesla
 * -e) 3.43E-04 Tesla

70) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * -a) 8mW
 * -b) 6mW
 * -c) 3mW
 * +d) 9mW
 * -e) 4mW

71) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H_y$$ at the point (7.8338,2.4233) if a current of 7.2A flows through a wire that runs along the z axis?


 * -a) 1.01E-01 A/m
 * -b) 1.11E-01 A/m
 * -c) 1.22E-01 A/m
 * +d) 1.34E-01 A/m
 * -e) 1.46E-01 A/m

72) Two large parallel conducting plates are separated by 9.71 mm. Equal and opposite surface charges of 7.550E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?


 * -a) 7.444E-01 mm
 * +b) 8.561E-01 mm
 * -c) 9.845E-01 mm
 * -d) 1.132E+00 mm
 * -e) 1.302E+00 mm

73) In the figure shown C1=18.0 &mu;F, C2=2.88 &mu;F, and C3=5.34 &mu;F. The voltage source provides &epsilon;=11.9 V. What is the charge on C1?


 * -a) 5.045E+01 &mu;C
 * -b) 5.550E+01 &mu;C
 * -c) 6.105E+01 &mu;C
 * +d) 6.715E+01 &mu;C
 * -e) 7.387E+01 &mu;C

74) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$
 * -a) 3
 * -b) s&minus;3
 * -c) s&minus;7
 * -d) 3&minus;s
 * +e) 7&minus;s

75) A 12.0 V battery can move 11,000 C of charge. How many Joules does it deliver?


 * -a) 9.016E+04 J
 * -b) 9.917E+04 J
 * -c) 1.091E+05 J
 * -d) 1.200E+05 J
 * +e) 1.320E+05 J

76) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * -a) 1/2
 * +b) 1/4
 * -c) 3/4
 * -d) 0
 * -e) 1

77) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * -a) 8mW
 * +b) 3mW
 * -c) 6mW
 * -d) 9mW
 * -e) 4mW

78) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a  34 mF inductor?


 * -a) 3.908E+00 A
 * -b) 4.298E+00 A
 * -c) 4.728E+00 A
 * +d) 5.201E+00 A
 * -e) 5.721E+00 A

79) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?
 * -a) The hotter object has a greater energy.
 * -b) They have the same energy (since the holes are identical).
 * -c) The larger object has a greater energy.
 * +d) No unique answer exists because two variables are involved (temperature and volume).

80) An object is placed 6.3 cm to the left of a diverging lens with a focal length of 8.9 cm. How far is the image from the lens?


 * -a) 1.17 x 100 cm
 * -b) 2.07 x 100 cm
 * +c) 3.69 x 100 cm
 * -d) 6.56 x 100 cm
 * -e) 1.17 x 101 cm

81) A 27 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.85 T. What current is required to maintain this balance?


 * -a) 3.106E-01 A
 * +b) 3.416E-01 A
 * -c) 3.758E-01 A
 * -d) 4.134E-01 A
 * -e) 4.547E-01 A

82) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) s&minus;7
 * -b) 8
 * +c) 7&minus;s
 * -d) 3&minus;s
 * -e) s&minus;3

83) A resistor has 10 volts across it and 4 amps going through it. What is its resistance?
 * +a) $$2.5\Omega.$$
 * -b) $$3.5\Omega.$$
 * -c) $$4.5\Omega.$$
 * -d) None of these are true.

84) Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =7.72 s if &epsilon; = 2.79 V, R = 1.56 &Omega;, and L = 3.16 H?


 * -a) 1.214E+00 V
 * -b) 1.457E+00 V
 * +c) 1.749E+00 V
 * -d) 2.099E+00 V
 * -e) 2.518E+00 V

85) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?
 * -a) 8W
 * -b) 2.2W
 * -c) 3W
 * +d) 24W

86) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * +a) 3mW
 * -b) 6mW
 * -c) 4mW
 * -d) 9mW
 * -e) 8mW

87) If this represents the eye looking at an object, where is this object?
 * -a) directly in front of the eye (almost touching)
 * -b) at infinity
 * -c) very far away
 * +d) Two (of the other answers) are true
 * -e) One focal length in front of the eye

88) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * -a) equal to 3 eV
 * -b) greater than 3 eV
 * -c) equal to 6 eV
 * +d) less than 3 eV
 * -e) zero

89) What is the average current involved when a truck battery sets in motion 618 C of charge in 2.28 s while starting an engine?


 * -a) 2.240E+02 A
 * -b) 2.464E+02 A
 * +c) 2.711E+02 A
 * -d) 2.982E+02 A
 * -e) 3.280E+02 A

90) The output of an ac generator connected to an RLC series combination has a frequency of 3.60E+04 Hz and an amplitude of 9 V. If R =2 &Omega;, L= 7.60E-03H, and C=7.50E-06 F, what is the rms power transferred to the resistor?


 * -a) 1.011E-03 Watts
 * +b) 1.112E-03 Watts
 * -c) 1.223E-03 Watts
 * -d) 1.345E-03 Watts
 * -e) 1.480E-03 Watts

91) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) s&minus;1
 * -b) 5
 * +c) 1&minus;s
 * -d) 5&minus;s
 * -e) s&minus;4

92) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm.  What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?


 * -a) 5.14 x 10-5 Volts
 * +b) 1.62 x 10-4 Volts
 * -c) 5.14 x 10-4 Volts
 * -d) 1.62 x 10-3 Volts
 * -e) 5.14 x 10-3 Volts

93) Assume that a 17 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and  P2 where the polar coordinates (r,&phi;) of  P1 are  (6 cm, 0&deg;) and  P2 is at (15 cm, 48&deg;).


 * +a) 1.528E+03 V
 * -b) 1.681E+03 V
 * -c) 1.849E+03 V
 * -d) 2.034E+03 V
 * -e) 2.237E+03 V

94) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * +a) lose 3 points
 * -b) win 3 points
 * -c) be disqualified for cheating
 * -d) lose 1 point
 * -e) win 1 point

95) If you play the solitaire game 3 times, you will on average lose ___ times.
 * -a) 5
 * -b) 4
 * -c) 3
 * -d) 2
 * +e) 1

96) Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is  opened as as S2 is closed.  How long will it take for the energy stored in the inductor to be reduced to 1.65% of its maximum value if &epsilon; = 3.62 V, R = 4.07 &Omega;, and L = 7.19 H?


 * -a) -2.476E+00 s
 * -b) -2.724E+00 s
 * -c) -2.996E+00 s
 * -d) -3.296E+00 s
 * +e) -3.625E+00 s

97) If the wavelength &lambda; associated with a photon is cut in half, the photon's energy E
 * -a) is cut in half
 * -b) stays the same
 * +c) becomes twice as big
 * -d) is reduced by a factor of 4
 * -e) becomes 4 times as big

98) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following loses?
 * +a) K and K&clubs;
 * -b) K and K&spades;
 * -c) two of these are true
 * -d) none of these are true
 * -e) K&spades; and K&clubs;

99)  Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * -a) how a farsighted person might see a distant object
 * -b) how a nearsighted person might see a distant object
 * -c) how a nearsighted person might see an object that is too close for comfort
 * +d) how a farsighted person might see an object that is too close for comfort

100) H is defined by, B=&mu;0H, where B is magnetic field. A current of 37A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,8.4) to the point (8.4,0).


 * -a) 8.44E+00 amps
 * +b) 9.25E+00 amps
 * -c) 1.01E+01 amps
 * -d) 1.11E+01 amps
 * -e) 1.22E+01 amps

101) Mr. Smith is gazing at something as shown in the figure to the left.  Suppose he does not refocus, but attempts to stare at the star shown in the figures below.  Which diagram depicts how the rays from the star would travel if he does not refocus?
 * -a) Ray drawing eye Wrong Answer.svg
 * -b) Ray_drawing_eye_schematic_alternate.svg
 * +c) Ray drawing eye schematic02.svg

102) H is defined by, B=&mu;0H, where B is magnetic field. A current of 77A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point ( - 9.8, 9.8) to the point (9.8, 9.8).


 * -a) 1.60E+01 amps
 * -b) 1.76E+01 amps
 * +c) 1.93E+01 amps
 * -d) 2.11E+01 amps
 * -e) 2.31E+01 amps

103) A 819 mF capacitor is connected in series to a 798 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 8.27 x 105 s.
 * +b) 2.61 x 106 s.
 * -c) 8.27 x 106 s.
 * -d) 2.61 x 107 s.
 * -e) 8.27 x 107 s.

104) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * -a) none of these are correct
 * -b) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * +c) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * -d) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * -e) $$ r^2\varepsilon_0 E=r^3\rho /2$$

105) The law of reflection applies to
 * -a) telescopes but not microscopes
 * +b) both flat and curved surfaces
 * -c) flat surfaces
 * -d) only light in a vacuum
 * -e) curved surfaces

106) An loop of wire with 33 turns has a radius of 0.55 meters, and is oriented with its axis parallel to a magetic field of 0.74 Tesla. What is the induced voltage if this field is reduced to  32% of its original value in 2.4 seconds?


 * -a) 5.43 x 100 volts
 * +b) 6.58 x 100 volts
 * -c) 7.97 x 100 volts
 * -d) 9.65 x 100 volts
 * -e) 1.17 x 101 volts

107) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * -a) $$\tfrac 1 \sqrt 2$$
 * +b) $$\tfrac \sqrt 3 2$$
 * -c) $$\tfrac 1 2$$
 * -d) $$\tfrac 1 4$$
 * -e) $$\tfrac 3 4$$

108) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?
 * +a) $$R_1 = 125V$$ and $$R_2 = 125V$$.
 * -b) None of these are true.
 * -c) $$R_1 = 250V$$ and $$R_2 = 0V$$.
 * -d) $$R_1 = 150V$$ and $$R_2 = 100V$$.

109) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 1/16
 * +b) 1/8
 * -c) 3/16
 * -d) 3/32
 * -e) 1/32

110) If you play the solitaire game 6 times, you will on average win ___ times.
 * -a) 3
 * +b) 4
 * -c) 6
 * -d) 5
 * -e) 2

111) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?


 * -a) 1.28 J.
 * -b) 1.47 J.
 * +c) 1.69 J.
 * -d) 1.94 J.
 * -e) 2.24 J.

112) This figure is associated with
 * -a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * +b) Evidence presented in 1800 that light is a wave.
 * -c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

113) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * +a) 9 &minus; s
 * -b) s &minus; 2
 * -c) 2
 * -d) 2 &minus; s
 * -e) s &minus; 9

114) The same parallel plate capacitor, with area 1.15 m2, plate separation  0.63mm, and an applied voltage of 2.25 kV.  How much charge is stored?


 * -a) 23.91 &mu;C.
 * -b) 27.5 &mu;C.
 * -c) 31.62 &mu;C.
 * +d) 36.37 &mu;C.
 * -e) 41.82 &mu;C.

115) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 5/6
 * -b) 2/4=1/2
 * -c) 3/4
 * -d) 2/5
 * +e) 3/5

116) A square coil has sides that are L= 0.308 m long and is tightly wound with N=969 turns of wire. The resistance of the coil is R=8.64 &Omega;. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0498 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?


 * -a) 4.817E-01 A
 * +b) 5.298E-01 A
 * -c) 5.828E-01 A
 * -d) 6.411E-01 A
 * -e) 7.052E-01 A

117) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?
 * +a) The object with the greater temperature emits more.
 * -b) The object with the greater volume.
 * -c) No unique answer exists because two variables are involved (temperature and volume).
 * -d) They both emit the same number of photons (since the holes are identical).

118) A circlular capactitor of radius 3.7 m has a gap of 8 mm, and a charge of 89 &mu;C.  What is the electric field between the plates?


 * -a) 1.93E+05 N/C (or V/m)
 * +b) 2.34E+05 N/C (or V/m)
 * -c) 2.83E+05 N/C (or V/m)
 * -d) 3.43E+05 N/C (or V/m)
 * -e) 4.16E+05 N/C (or V/m)

119) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.9 m, y=y1=5.3 m, z=z0=1.4 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 8.2m2 ,and those in the zx plane have area 9.8m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 58&deg; from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * -a) 6.270E+01 N&middot;m2/C
 * -b) 6.897E+01 N&middot;m2/C
 * -c) 7.586E+01 N&middot;m2/C
 * -d) 8.345E+01 N&middot;m2/C
 * +e) 9.179E+01 N&middot;m2/C

120) A parallel plate capacitor has both plates with an area of 1.15 m2. The separation between the plates is  0.63mm.  Applied to the plates is a potential difference of 2.25 kV.  What is the capacitance?


 * +a) 16.16 nF.
 * -b) 18.59 nF.
 * -c) 21.37 nF.
 * -d) 24.58 nF.
 * -e) 28.27 nF.

121) A cylinder of radius, r=3, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.28+1.72z)\rho^3\hat\rho +7.33z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{side}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the curved side surface of the cylinder.


 * -a) 3.232E+03
 * -b) 3.915E+03
 * -c) 4.743E+03
 * -d) 5.747E+03
 * +e) 6.962E+03

122) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=9, y=0), (x=0, y=9), and (x=9, y=9), where x and y are measured in meters. The electric field is, $$\vec E=3y^{2.8}\hat i +1x^{2.3}\hat j +2y^{2.9}\hat k$$


 * -a) 2.210E+04 V&middot;m
 * +b) 2.431E+04 V&middot;m
 * -c) 2.674E+04 V&middot;m
 * -d) 2.941E+04 V&middot;m
 * -e) 3.235E+04 V&middot;m

123) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * +a) $$2\varepsilon_0 E = r\rho $$
 * -b) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -c) none of these are correct
 * -d) $$2r\varepsilon_0 E = R^2\rho $$
 * -e) $$2R\varepsilon_0 E=  r^2\rho $$

124) Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * -a) how a farsighted person might see an object that is too close for comfort
 * -b) how a farsighted person might see a distant object
 * +c) how a nearsighted person might see a distant object
 * -d) how a nearsighted person might see an object that is too close for comfort

125) The charge passing a plane intersecting a wire is $$Q_M=\left(1-e^{t/\tau}\right)$$, where $$Q_M$$=16 C  and $$\tau=$$0.0214 s. What is the current at $$t=$$0.0207 s?


 * -a) 2.135E+02 A
 * -b) 2.349E+02 A
 * -c) 2.584E+02 A
 * +d) 2.842E+02 A
 * -e) 3.126E+02 A

126) Two parallel wires each carry a 7.59 mA current and are oriented in the z direction. The first wire is located in the x-y   plane at (3.98 cm, 0.969 cm), while the other is located at (5.13 cm, 5.53 cm). What is the force per unit length between the wires?


 * -a) 1.840E-10 N/m
 * -b) 2.024E-10 N/m
 * -c) 2.227E-10 N/m
 * +d) 2.449E-10 N/m
 * -e) 2.694E-10 N/m

127) This figure is associated with
 * -a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * -c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -d) Evidence presented in 1800 that light is a wave.
 * +e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

128) A 3 C charge is separated from a 7 C charge by distance of 10 cm.  What is the work done by increasing this separation to 15 cm?


 * -a) 5.199E-07 J
 * -b) 5.719E-07 J
 * +c) 6.291E-07 J
 * -d) 6.920E-07 J
 * -e) 7.612E-07 J

129) A recangular coil with an area of 0.897 m2 and 8 turns is placed in a uniform magnetic field of 2.83 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 8.740E+03 s&minus;1.  What is the magnitude (absolute value) of the induced emf at t = 3 s?


 * +a) 4.695E+04 V
 * -b) 5.165E+04 V
 * -c) 5.681E+04 V
 * -d) 6.249E+04 V
 * -e) 6.874E+04 V

130) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 1/32
 * +b) 3/32
 * -c) 1/16
 * -d) 1/8
 * -e) 3/16

131) H is defined by, B=&mu;0H, where B is magnetic field. A current of 48A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,8.4) to the point (8.4,8.4).


 * -a) 5.47E+00 amps
 * +b) 6.00E+00 amps
 * -c) 6.58E+00 amps
 * -d) 7.21E+00 amps
 * -e) 7.91E+00 amps

132) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal F=$$:
 * -a) 2
 * -b) 3
 * +c) 3/2
 * -d) 2/3
 * -e) 1/2

133) A long solenoid has a radius of 0.8 m and 77 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$5 A and $$\alpha=$$28 s&minus;1.What is the induced electric fied at a distance 2.2 m from the axis at time t=0.0757 s ?


 * -a) 1.616E-04 V/m
 * -b) 1.778E-04 V/m
 * -c) 1.955E-04 V/m
 * -d) 2.151E-04 V/m
 * +e) 2.366E-04 V/m

134) Two sources of emf &epsilon;1=43.0 V, and  &epsilon;2=13.8 V are oriented as shownin the circuit. The resistances are R1=3.97 k&Omega; and  R2=1.12 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=6.25 mA and I4=1.82 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 3.661E+00 mA
 * -b) 4.027E+00 mA
 * +c) 4.430E+00 mA
 * -d) 4.873E+00 mA
 * -e) 5.360E+00 mA

135) $$E_z(x=0,z)=\int_{-a}^b f(x,z)dx$$ is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m.  Evaluate $$f(x,y)$$ at x=0.52 m if a=0.88 m, b=1.3 m.  The total charge on the rod is 6 nC.


 * -a) 6.804E+00 V/m2
 * +b) 7.485E+00 V/m2
 * -c) 8.233E+00 V/m2
 * -d) 9.056E+00 V/m2
 * -e) 9.962E+00 V/m2

136) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?
 * -a) measuring polarization
 * +b) stopping the electron with an applied voltage
 * -c) measuring both spin and polarization
 * -d) measuring spin
 * -e) deflecting the electron with a magnetic field

137) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$\sqrt 2$$ what is the length of each side?
 * -a) $$1$$
 * -b) $$\tfrac 1 2$$
 * +c) $$\sqrt 2$$
 * -d) $$2\sqrt 2$$
 * -e) $$\tfrac 1 \sqrt 2$$

138) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * -a) both can be created
 * -b) electromagnetic
 * -c) pendulum
 * +d) electromagnetic or pendulum

139) A circlular capactitor of radius 3.8 m has a gap of 14 mm, and a charge of 61 &mu;C.  Compute the surface integral  $$c^{-2}\oint\vec E\cdot d\vec A$$ over an inner face of the capacitor.


 * +a) 7.67E-11 Vs2m-1
 * -b) 9.29E-11 Vs2m-1
 * -c) 1.13E-10 Vs2m-1
 * -d) 1.36E-10 Vs2m-1
 * -e) 1.65E-10 Vs2m-1

140) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal A=$$:
 * -a) 8
 * -b) 2
 * +c) 4
 * -d) 1/2

141) A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?
 * -a) $$\frac{7}{11}\Omega$$.
 * -b) $$\frac{10}{21}\Omega$$.
 * -c) $$\frac{11}{7}\Omega$$.
 * +d) $$\frac{21}{10}\Omega$$.

142) A 8.1 ohm resistor is connected in series to a pair of 5.2 ohm resistors that are in parallel.  What is the net resistance?


 * -a) 6.1 ohms.
 * -b) 7 ohms.
 * -c) 8.1 ohms.
 * -d) 9.3 ohms.
 * +e) 10.7 ohms.

143) To create an unpolarized pendulum oscillation
 * -a) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * -b) create an elliptically polarized wave with an &epsilon;<0.8
 * -c) create an elliptically polarized wave with an &epsilon;>0.2
 * +d) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations

144) Under most conditions the current is distributed uniformly over the cross section of the wire.  What is the magnetic field 2.26 mm from the center of a wire of radius 5 mm if the current is 1A?


 * -a) 1.494E-05 T
 * -b) 1.644E-05 T
 * +c) 1.808E-05 T
 * -d) 1.989E-05 T
 * -e) 2.188E-05 T

145) An ideal 3.1 V voltage source is connected to two resistors in parallel.  One is 1.5$$k\Omega$$, and the other is 2.2 $$k\Omega$$.  What is the current through the larger resistor?


 * -a) 0.55 mA.
 * -b) 0.63 mA.
 * -c) 0.73 mA.
 * +d) 0.84 mA.
 * -e) 0.96 mA.

146) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * -a) 0
 * -b) 1/2
 * -c) 1/4
 * -d) 3/4
 * +e) 5/4
 * -f) 1

147) An important principle that allows fiber optics to work is
 * -a) the Doppler shift
 * -b) total external refraction
 * -c) the invariance of the speed of light
 * +d) total internal reflection
 * -e) partial internal absorption

148) An alpha-particle (m=6.64x10&minus;27kg, q=3.2x10&minus;19C) briefly enters a uniform magnetic field of magnitude 0.0887 T . It emerges after being deflected by 69&deg; from its original direction. How much time did it spend in that magnetic field?


 * -a) 2.561E-07 s
 * +b) 2.817E-07 s
 * -c) 3.099E-07 s
 * -d) 3.409E-07 s
 * -e) 3.750E-07 s

149) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * -a) circular or linear
 * +b) circular or elliptical
 * -c) linear or elliptical
 * -d) circular
 * -e) linearly

150) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * -a) $$\sqrt 2$$
 * -b) $$\tfrac 1 2$$
 * +c) $$\tfrac 1 \sqrt 2$$
 * -d) $$1$$
 * -e) $$2\sqrt 2$$

151) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?
 * -a) None these are correct
 * +b) Voltage is a measure of Electric Potential difference between two electrical points.
 * -c) The other point could be Negative or positive.
 * -d) It's an Electrical Cliche.

152) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
 * -a) 1
 * -b) 3/4
 * -c) 0
 * -d) 1/4
 * +e) 1/2
 * -f) 5/4

153) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * +a) 6mW
 * -b) 4mW
 * -c) 3mW
 * -d) 8mW
 * -e) 9mW

154) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * +a) $$\tfrac \sqrt 3 2$$
 * -b) $$\tfrac 1 \sqrt 2$$
 * -c) $$\tfrac 1 2$$
 * -d) $$\tfrac 3 4$$
 * -e) $$ \tfrac 1 4$$

155) A DC winch moter draws 24 amps at 159 volts as it lifts a 4.120E+03 N weight at a constant speed of 0.657 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.


 * -a) 1.447E+00 &Omega;
 * -b) 1.591E+00 &Omega;
 * -c) 1.751E+00 &Omega;
 * +d) 1.926E+00 &Omega;
 * -e) 2.118E+00 &Omega;

156) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at  (x,y) =( 5a, 4a) is &beta;kQ/a2, where &beta; equals


 * -a) 1.76 x 10-3 unit
 * -b) 2.13 x 10-3 unit
 * -c) 2.59 x 10-3 unit
 * +d) 3.13 x 10-3 unit
 * -e) 3.79 x 10-3 unit

157) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=6\times 10^{-7}\text{m}$$.what angle does the force on $$q_2$$ make above the $$-x$$ axis if $$q_1=3e$$, $$q_2=-8e$$, and $$q_3=5e$$?


 * -a) 5.062E+01 degrees
 * -b) 5.569E+01 degrees
 * -c) 6.125E+01 degrees
 * +d) 6.738E+01 degrees
 * -e) 7.412E+01 degrees

158) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at  (x,y) =( 1.1a, 1.2a) is &beta;kQ/a2, where &beta; equals


 * +a) 3.47 x 10-1 unit
 * -b) 4.2 x 10-1 unit
 * -c) 5.09 x 10-1 unit
 * -d) 6.17 x 10-1 unit
 * -e) 7.47 x 10-1 unit

159) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 60&deg; to that field?
 * +a) $$\tfrac 1 2$$
 * -b) $$\tfrac 1 \sqrt 2$$
 * -c) $$\tfrac 1 4$$
 * -d) $$\tfrac \sqrt 3 2$$
 * -e) $$\tfrac 3 4$$

160) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 24 turns per centimeter and the current applied to the solenoid is 595 mA, the net magnetic field is measured to be 1.46 T. What is the magnetic susceptibility for this case?


 * -a) $$\chi \text{ (chi) }=$$ 6.716E+02
 * -b) $$\chi \text{ (chi) }=$$ 7.387E+02
 * +c) $$\chi \text{ (chi) }=$$ 8.126E+02
 * -d) $$\chi \text{ (chi) }=$$ 8.939E+02
 * -e) $$\chi \text{ (chi) }=$$ 9.833E+02

161) $$E(z)=\int_{0}^R f(r',z)dr'$$ is an integral that calculates the magnitude of the electric field at a distance $$z$$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk.  The disk's radius is $$R=1.4\text{ m}$$ and the surface charge density is $$\sigma=6\text{ nC/m}^3$$. Evaluate $$f(r',z)$$ at $$r'=0.56\text{ m}$$.


 * -a) 2.567E+01 V/m2
 * -b) 2.824E+01 V/m2
 * -c) 3.106E+01 V/m2
 * -d) 3.417E+01 V/m2
 * +e) 3.759E+01 V/m2

162) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * -a) K and K&spades;
 * -b) K&spades; and K&clubs;
 * -c) none of these are true
 * +d) two of these are true
 * -e) K and K&clubs;

163) A proton is accellerated (at rest) from a plate held at 767.8 volts to a plate at zero volts. What is the final speed?


 * -a) 1.1 x 105 m/s.
 * -b) 1.7 x 105 m/s.
 * -c) 2.6 x 105 m/s.
 * +d) 3.8 x 105 m/s.
 * -e) 5.8 x 105 m/s.

164) A parallel plate capacitor with a capicatnce C=6.80E-06 F whose plates have an area A=6.60E+03 m2 and separation d=8.60E-03 m is connected via a swith to a 62 &Omega; resistor and a battery of voltage V0=36 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.60E-04?


 * -a) 8.288E-02 A
 * -b) 9.117E-02 A
 * -c) 1.003E-01 A
 * -d) 1.103E-01 A
 * +e) 1.213E-01 A

165) Calculate the drift speed of electrons in a copper wire with a diameter of 2.72 mm carrying a 16.2 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.


 * +a) 2.087E-04 m/s
 * -b) 2.295E-04 m/s
 * -c) 2.525E-04 m/s
 * -d) 2.777E-04 m/s
 * -e) 3.055E-04 m/s

166) Amphere's law for magnetostatic currents is that $$\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$$ equals the current enclosed by the closed loop, and $$B=\mu_0H$$ is the magnetic field. A current of 6.9A flows upward along the z axis. Noting that for this geometry, $$\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$$, calculate the line integral $$\oint d\ell$$ for a circle of radius 9.9m.


 * +a) 6.22E+01 m
 * -b) 6.82E+01 m
 * -c) 7.48E+01 m
 * -d) 8.20E+01 m
 * -e) 8.99E+01 m

167) Two loops of wire carry the same current of 99 kA, and flow in the same direction. They share a common axis and orientation.  One loop has a radius of 0.798 m while the other has a radius of 1.29 m.  What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.394 m from the first (smaller) loopif the disance between the loops is 1.29 m?


 * +a) 8.291E-02 T
 * -b) 9.120E-02 T
 * -c) 1.003E-01 T
 * -d) 1.104E-01 T
 * -e) 1.214E-01 T

168) When a 1.95 V battery operates a 2.8 W bulb, how many electrons pass through it each second?


 * -a) 7.407E+18 electrons
 * -b) 8.147E+18 electrons
 * +c) 8.962E+18 electrons
 * -d) 9.858E+18 electrons
 * -e) 1.084E+19 electrons

169) Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.)  The charges are q1=3 &mu;C, q2=6 &mu;C, q3=7 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.116E+01 J
 * -b) 3.427E+01 J
 * -c) 3.770E+01 J
 * -d) 4.147E+01 J
 * +e) 4.562E+01 J

170) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.
 * -a) true
 * +b) false

171) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal B=$$
 * +a) 2
 * -b) &minus;3
 * -c) 3
 * -d) &minus;3
 * -e) &minus;7

172) A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?
 * +a) 2A
 * -b) 3A
 * -c) 1.5A
 * -d) 12A

173) A given battery has a 12 V emf and an internal resistance of 0.107 &Omega;. If it is connected to a 0.814 &Omega; resistor what is the power dissipated by that load?


 * +a) 1.382E+02 W
 * -b) 1.520E+02 W
 * -c) 1.672E+02 W
 * -d) 1.839E+02 W
 * -e) 2.023E+02 W

174) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * +a) 9mW
 * -b) 8mW
 * -c) 4mW
 * -d) 3mW
 * -e) 6mW

175) A 59 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 84 kW?


 * -a) 9.780E+01 km
 * -b) 1.076E+02 km
 * -c) 1.183E+02 km
 * -d) 1.302E+02 km
 * +e) 1.432E+02 km

176) An electron beam (m=9.1 x 10&minus;31kg, q=1.6 x 10&minus;19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?


 * -a) 4.982E+05 m/s
 * -b) 5.480E+05 m/s
 * -c) 6.028E+05 m/s
 * +d) 6.631E+05 m/s
 * -e) 7.294E+05 m/s

177) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.7 m. The other four surfaces are rectangles in y=y0=1.9 m, y=y1=4.3 m, z=z0=1.7 m, and z=z1=5.7 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 4.1m2 ,and those in the zx plane have area 6.8m2. An electric field of magnitude 13 N/C has components in the y and z directions and is directed at 27&deg; above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * +a) 7.876E+01 N&middot;m2/C
 * -b) 8.664E+01 N&middot;m2/C
 * -c) 9.531E+01 N&middot;m2/C
 * -d) 1.048E+02 N&middot;m2/C
 * -e) 1.153E+02 N&middot;m2/C

178) A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?


 * +a) 4.788E+09 N/C2
 * -b) 5.267E+09 N/C2
 * -c) 5.793E+09 N/C2
 * -d) 6.373E+09 N/C2
 * -e) 7.010E+09 N/C2

179) An alpha-particle (q=3.2x10&minus;19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.55 T. What is the  x-component of the force on the alpha-particle if it is moving with a velocity (1.96 i + 1.68 j  + 6.92 k) x 104 m/s?


 * -a) 4.179E-14 N
 * +b) 4.596E-14 N
 * -c) 5.056E-14 N
 * -d) 5.562E-14 N
 * -e) 6.118E-14 N

180) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
 * -a) 1/4
 * -b) 3/4
 * -c) 5/4
 * +d) 1
 * -e) 1/2
 * -f) 0

181) A battery with a terminal voltage of 13.2 V is connected to a circuit consisting of 3 15.7 &Omega; resistors and one 10.3 &Omega; resistor. What is the voltage drop across the 10.3 &Omega; resistor?


 * -a) 1.958E+00 V
 * -b) 2.153E+00 V
 * +c) 2.369E+00 V
 * -d) 2.606E+00 V
 * -e) 2.866E+00 V

182) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * -a) becomes twice as big
 * +b) is reduced by a factor of 4
 * -c) stays the same
 * -d) becomes 4 times as big
 * -e) is cut in half

183) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) s&minus;4
 * -b) 1&minus;s
 * -c) 5&minus;s
 * +d) 5
 * -e) s&minus;1

184) Three 1 ohm resistors are connected in parallel. What is the total resistance?
 * -a) $$ 3\Omega$$.
 * -b) $$\frac{2}{3}\Omega$$.
 * -c) $$\frac{3}{2}\Omega$$.
 * +d) $$\frac{1}{3}\Omega$$.

185) An induced emf of 4.7V is measured across a coil of 52 closely wound turns while the current throuth it increases uniformly from 0.0 to 3.08A in 0.961s. What is the self-inductance of the coil?


 * -a) 1.102E+00 H
 * -b) 1.212E+00 H
 * -c) 1.333E+00 H
 * +d) 1.466E+00 H
 * -e) 1.613E+00 H

186) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * -a) 72 + (3&minus;s)2
 * -b) 72 + (8&minus;s)2
 * -c) 72 + 82
 * +d) (7-s)2 + 82
 * -e) 32 + 82

187) A photon is polarized at 5&deg; when it encounters a filter oriented at 35&deg;. What is the probability that it passes?
 * -a) 1/2
 * -b) 1/4
 * -c) 0
 * +d) 3/4
 * -e) 1

188) An empty parallel-plate capacitor with metal plates has an area of 2.59 m2, separated by 1.23 mm. How much charge does it store if the voltage is 2.200E+03 V?


 * -a) 3.082E+01 &mu;C
 * -b) 3.390E+01 &mu;C
 * -c) 3.729E+01 &mu;C
 * +d) 4.102E+01 &mu;C
 * -e) 4.512E+01 &mu;C

189) Two sources of emf &epsilon;1=16.8 V, and  &epsilon;2=6.85 V are oriented as shownin the circuit. The resistances are R1=4.43 k&Omega; and  R2=1.24 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.68 mA and I4=0.758 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 3.890E+00 V
 * -b) 4.279E+00 V
 * -c) 4.707E+00 V
 * +d) 5.178E+00 V
 * -e) 5.695E+00 V

190) A parallel plate capacitor with a capicatnce C=1.40E-06 F whose plates have an area A=980.0 m2 and separation d=6.20E-03 m is connected via a swith to a 8 &Omega; resistor and a battery of voltage V0=53 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=2.40E-05?


 * -a) 5.154E+03 V/m
 * -b) 5.669E+03 V/m
 * -c) 6.236E+03 V/m
 * -d) 6.860E+03 V/m
 * +e) 7.545E+03 V/m

191) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?


 * -a) 3.500E+01 N/C
 * -b) 3.850E+01 N/C
 * +c) 4.235E+01 N/C
 * -d) 4.659E+01 N/C
 * -e) 5.125E+01 N/C

192) This figure is associated with
 * -a) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -c) Evidence presented in 1800 that light is a wave.
 * -d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * +e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf

193) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?
 * +a) $$\frac{10}{7}\Omega$$.
 * -b) $$\frac{10}{6}\Omega$$.
 * -c) $$\frac{7}{10}\Omega$$.
 * -d) $$\frac{6}{10}\Omega$$.

194) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?


 * -a) 2.36 x 10-3 newtons
 * -b) 7.47 x 10-3 newtons
 * -c) 2.36 x 10-2 newtons
 * +d) 7.47 x 10-2 newtons
 * -e) 2.36 x 10-1 newtons

195) What is the current through R1 and R2 in the figure shown?
 * -a) $$I_1 = 10A$$ and $$I_2 = 16.67A$$.
 * -b) $$I_1 = 0.1A$$ and $$I_2 = 0.1667A$$.
 * +c) $$I_1 = 1A$$ and $$I_2 = 1.667A$$.
 * -d) $$I_1 = 1A$$ and $$I_2 = 25A$$.

196) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.84 kA, I2=2.02 kA, and I3=4.24 kA, take the $$\omega$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * -a) 5.255E-03 T-m
 * -b) 5.781E-03 T-m
 * +c) 6.359E-03 T-m
 * -d) 6.994E-03 T-m
 * -e) 7.694E-03 T-m

197) A cyclotron used to accelerate alpha particlesm=6.64 x 10&minus;27kg, q=3.2 x 10&minus;19C) has a radius of 0.448 m and a magneticfield of 0.812 T. What is their maximum kinetic energy?


 * -a) 5.798E+00 MeV
 * +b) 6.377E+00 MeV
 * -c) 7.015E+00 MeV
 * -d) 7.717E+00 MeV
 * -e) 8.488E+00 MeV

198) This figure is associated with
 * -a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -c) Evidence presented in 1800 that light is a wave.
 * +d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

199) A parallel plate capacitor with a capicatnce C=7.40E-06 F whose plates have an area A=5.30E+03 m2 and separation d=6.30E-03 m is connected via a swith to a 5 &Omega; resistor and a battery of voltage V0=58 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.10E-04?


 * -a) 4.548E+01 V
 * -b) 5.003E+01 V
 * +c) 5.503E+01 V
 * -d) 6.054E+01 V
 * -e) 6.659E+01 V

200) An object of height 0.67 cm is placed 106 cm behind a diverging lens with a focal length of 61 cm. What is the height of the image?


 * -a) 1.18 x 10-1 cm
 * -b) 1.42 x 10-1 cm
 * -c) 1.7 x 10-1 cm
 * -d) 2.04 x 10-1 cm
 * +e) 2.45 x 10-1 cm

201) A cylinder of height 2.91 cm and radius 8.33 cm is cut into a wedge as shown. Now imagine that the volume grows as &theta; increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 3.7 cm from point O and moves at a speed of 9.14 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.) --(Answer & Why this question is different.)


 * -a) 2.061E+02 cm3/s
 * -b) 2.267E+02 cm3/s
 * +c) 2.494E+02 cm3/s
 * -d) 2.743E+02 cm3/s
 * -e) 3.018E+02 cm3/s

202) A spatially uniform magnetic points in the z-direction and oscilates with time as $$\vec B(t) = B_0\sin\omega t $$ where $$B_0=$$3.29 T and $$\omega=$$4.720E+03 s&minus;1. Suppose the electric field is always zero at point $$\mathcal O$$, and consider a circle of radius 0.658 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral $$\oint \vec B\cdot d\vec s$$ around the circle.


 * +a) 6.420E+04 V
 * -b) 7.062E+04 V
 * -c) 7.768E+04 V
 * -d) 8.545E+04 V
 * -e) 9.400E+04 V

203) An object is placed 4.65 cm to the left of a converging lens with a focal length of 6.2 cm. How far is the image from the lens?


 * -a) 1.86 x 100 cm
 * -b) 3.31 x 100 cm
 * -c) 5.88 x 100 cm
 * -d) 1.05 x 101 cm
 * +e) 1.86 x 101 cm

204) In the figure shown C1=20.7 &mu;F, C2=2.79 &mu;F, and C3=5.18 &mu;F. The voltage source provides &epsilon;=15.0 V. What is the energy stored in C2?


 * -a) 2.064E+01 &mu;J
 * -b) 2.270E+01 &mu;J
 * -c) 2.497E+01 &mu;J
 * -d) 2.747E+01 &mu;J
 * +e) 3.022E+01 &mu;J

205) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.7 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.4 m from the center of the shells?


 * -a) 1.491E+01 N/C
 * -b) 1.640E+01 N/C
 * +c) 1.804E+01 N/C
 * -d) 1.984E+01 N/C
 * -e) 2.182E+01 N/C

206) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?
 * -a) 6x1018
 * -b) 2x1018
 * -c) 1018
 * +d) 4x1018
 * -e) 8x1018

207) If you play the solitaire game 6 times, you will on average lose ___ times.
 * +a) 2
 * -b) 5
 * -c) 3
 * -d) 4
 * -e) 6

208) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * -a) 72 + (2-s)2
 * -b) 92 + (2-s)2
 * +c) 22 + (9-s)2
 * -d) 22 + (7-s)2
 * -e) 92 + (7-s)2

209) H is defined by, B=&mu;0H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from  ( -&infin; ,9) to (+ &infin; ,9).


 * -a) 3.08E+01 amps
 * -b) 3.37E+01 amps
 * +c) 3.70E+01 amps
 * -d) 4.06E+01 amps
 * -e) 4.45E+01 amps

210) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?
 * -a) $$R_{Total} = 3\Omega$$.
 * -b) None of these are true.
 * -c) $$R_{Total} = 0.5454\Omega$$.
 * +d) $$R_{Total} = 6\Omega$$.

211) An RLC series combination is driven with an applied voltage of of V=V0sin(&omega;t), where V0=0.44 V. The resistance, inductance, and capacitance are R =7 &Omega;, L= 5.40E-03H, and C=5.70E-04 F, respectively. What is the amplitude of the current?


 * -a) 4.723E-02 A
 * -b) 5.195E-02 A
 * -c) 5.714E-02 A
 * +d) 6.286E-02 A
 * -e) 6.914E-02 A

212) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
 * -a) 0
 * -b) 5/4
 * -c) 1/2
 * -d) 1/4
 * -e) 1
 * +f) 3/4

213) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) none of these are correct
 * -b) $$\varepsilon_0 E=  H\rho $$
 * -c) $$\varepsilon_0 E=   \rho z $$
 * -d) $$\varepsilon_0 E=  H\rho z$$
 * +e) $$\varepsilon_0 E = H\rho /2$$

214) A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.16 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.16 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.


 * -a) 3.070E+02 V
 * -b) 3.377E+02 V
 * -c) 3.715E+02 V
 * -d) 4.086E+02 V
 * +e) 4.495E+02 V

215) If you put an infinite number of resistors in parallel, what would the total resistance be?
 * +a) $$R_{total}$$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.
 * -b) It is not possible to connect that Number of Resistors in parallel.
 * -c) None of these are true.
 * -d) $$R_{total}$$ would approach 1 as The No. of Resistors In parallel Approaches Infinity

216) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * -a) 1/4
 * -b) 3/4
 * -c) 0
 * +d) 1
 * -e) 1/2

217) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC and only twoimpedances are involved,  Q=&equiv;&omega;0L/R is definedso that Q is large if the resistance is low.  Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V0sin(&omega;t), where V0=5 V. The resistance, inductance, and capacitance are R =0.13 &Omega;, L= 5.30E-03H, and C=2.60E-06 F, respectively.


 * -a) Q = 1.986E+02
 * -b) Q = 2.284E+02
 * -c) Q = 2.626E+02
 * -d) Q = 3.020E+02
 * +e) Q = 3.473E+02

218) A circlular capactitor of radius 4.6 m has a gap of 12 mm, and a charge of 52 &mu;C.  The capacitor is discharged through a  7 k&Omega; resistor.  What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)


 * -a) 3.30E-09 Tesla
 * -b) 4.15E-09 Tesla
 * -c) 5.23E-09 Tesla
 * +d) 6.58E-09 Tesla
 * -e) 8.29E-09 Tesla

219) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.8 m, y=y1=4.2 m, z=z0=1.3 m, and z=z1=5.8 m. The surfaces in the yz plane each have area 11.0m2. Those in the xy plane have area 4.8m2 ,and those in the zx plane have area 9.0m2. An electric field has the xyz components (0, 6.1, 5.6) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * -a) 4.125E+01 N&middot;m2/C
 * -b) 4.537E+01 N&middot;m2/C
 * -c) 4.991E+01 N&middot;m2/C
 * +d) 5.490E+01 N&middot;m2/C
 * -e) 6.039E+01 N&middot;m2/C

220) An electron gun has parallel plates separated by 5.31 cm and gives electrons 41 keV of energy. What force would the field between the plates exert on a 0.368 &mu;C charge that gets between the plates?


 * -a) 2.348E-01 N
 * -b) 2.583E-01 N
 * +c) 2.841E-01 N
 * -d) 3.126E-01 N
 * -e) 3.438E-01 N

221) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.24+1.11z)\rho^3\hat\rho +8.16z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\oint\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the entire surface of the cylinder.


 * -a) 4.69E+03
 * -b) 5.69E+03
 * +c) 6.89E+03
 * -d) 8.35E+03
 * -e) 1.01E+04

222) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * -a) be disqualified for cheating
 * -b) win 3 points
 * -c) lose 1 point
 * -d) lose 3 points
 * +e) win 1 point

223) If a 26 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=21 V is x2 + y2 + z2 = R2, where R=


 * -a) 8.360E+00 m
 * -b) 9.196E+00 m
 * -c) 1.012E+01 m
 * +d) 1.113E+01 m
 * -e) 1.224E+01 m

224) A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?


 * -a) 3.2 kV/m.
 * -b) 3.68 kV/m.
 * -c) 4.24 kV/m.
 * +d) 4.87 kV/m.
 * -e) 5.6 kV/m.

225) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.655 m. The magnetic field is spatially uniform but decays in time according to $$(5.62)e^{-\alpha t}$$, where $$\alpha=$$9.62 s. What is the current in the coil if the impedance of the coil is 48.9 &Omega;?


 * +a) 7.890E-01 A
 * -b) 8.679E-01 A
 * -c) 9.547E-01 A
 * -d) 1.050E+00 A
 * -e) 1.155E+00 A

226) A long solenoid has a radius of 0.861 m and 28 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$1 A and $$\alpha=$$20 s&minus;1.What is the induced electric fied at a distance 0.106 m from the axis at time t=0.055 s ?


 * -a) 1.026E-05 V/m
 * -b) 1.129E-05 V/m
 * +c) 1.242E-05 V/m
 * -d) 1.366E-05 V/m
 * -e) 1.502E-05 V/m

227) What is consumer cost to operate one 87&minus;W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.117 per kilowatt-hour?


 * -a) $2.791E+01
 * -b) $3.071E+01
 * -c) $3.378E+01
 * -d) $3.715E+01
 * +e) $4.087E+01

228) Imagine a substance could be made into a very hot filament. Suppose the resitance is 2.61 &Omega; at a temperature of 92&deg;C and that the temperature coefficient of expansion is 4.260E-03 (&deg;C)&minus;1). What is the resistance at a temperature of 422 &deg;C?


 * +a) 6.279E+00 &Omega;
 * -b) 6.593E+00 &Omega;
 * -c) 6.923E+00 &Omega;
 * -d) 7.269E+00 &Omega;
 * -e) 7.632E+00 &Omega;

229) Which lens has the shorter focal length?
 * -a) They have the same focal lengh.
 * -b) Ray drawing eye schematic01.svg
 * +c) Ray_drawing_eye_schematic.svg

230) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.


 * -a) 1.698E+06 m/s
 * -b) 1.868E+06 m/s
 * +c) 2.055E+06 m/s
 * -d) 2.260E+06 m/s
 * -e) 2.486E+06 m/s

231) The silver ribbon shown are a=4.72 cm, b=4.17 cm, and c= 1.53 cm. The current carries a current of 235 A and it lies in a uniform magnetic field of 1.35 T.  Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.


 * -a) 1.648E-06 V
 * -b) 1.813E-06 V
 * -c) 1.994E-06 V
 * +d) 2.194E-06 V
 * -e) 2.413E-06 V

232) The resistances in the figure shown are R1= 2.41 &Omega;, R2= 1.74 &Omega;, and R2= 3.35 &Omega;. V1 and V3 are text 0.508 V and 1.36 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.595 V. What is the absolute value of the current through R1?


 * -a) 1.203E-01 A
 * -b) 1.324E-01 A
 * +c) 1.456E-01 A
 * -d) 1.602E-01 A
 * -e) 1.762E-01 A

233) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?


 * -a) 3.154E-05 s
 * +b) 3.470E-05 s
 * -c) 3.817E-05 s
 * -d) 4.198E-05 s
 * -e) 4.618E-05 s

234) A photon is polarized at 10&deg; when it encounters a filter oriented at 40&deg;. What is the probability that it is blocked?
 * -a) 1/4
 * +b) 3/4
 * -c) 0
 * -d) 1
 * -e) 1/2

235) Calculate the motional emf induced along a 25.2 km conductor moving at an orbital speed of 7.72 km/s perpendicular to Earth's 4.900E-05 Tesla magnetic field.


 * -a) 7.162E+03 V
 * -b) 7.878E+03 V
 * -c) 8.666E+03 V
 * +d) 9.533E+03 V
 * -e) 1.049E+04 V

236) The diameter of a copper wire is 3.8 mm, and it carries a current of 88 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m3 and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)


 * -a) 2.7 x 10-4m/s
 * -b) 3.27 x 10-4m/s
 * -c) 3.96 x 10-4m/s
 * -d) 4.79 x 10-4m/s
 * +e) 5.81 x 10-4m/s

237) A 3.1 volt battery moves 52 Coulombs of charge in 1.7 hours. What is the power?


 * -a) 1.79 x 10-2 W
 * -b) 2.17 x 10-2 W
 * +c) 2.63 x 10-2 W
 * -d) 3.19 x 10-2 W
 * -e) 3.87 x 10-2 W

238) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 &mu;T. The kinetic energy is 437 keV.  What is the radius of particle's orbit?


 * -a) 1.3 x 102 m.
 * -b) 4.1 x 102 m.
 * -c) 1.3 x 103 m.
 * -d) 4.1 x 103 m.
 * +e) 1.3 x 104 m.

239) Two 9.4 ohm resistors are connected in parallel.  This combination is then connected in series to a 2.4 ohm resistor.  What is the net resistance?


 * -a) 5.4 ohms.
 * -b) 6.2 ohms.
 * +c) 7.1 ohms.
 * -d) 8.2 ohms.
 * -e) 9.4 ohms.

240) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * +a) $$\tfrac 1 2$$
 * -b) $$\tfrac 3 4$$
 * -c) $$\tfrac \sqrt 3 2$$
 * -d) $$ \tfrac 1 4$$
 * -e) $$\tfrac 1 \sqrt 2$$

241) A solenoid has 9.560E+04 turns wound around a cylinder of diameter 1.18 cm and length 12 m. The current through the coils is 0.664 A.  Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $$\int\vec B\cdot\vec\ell$$ alongthe axis from z=&minus;4.49 cm to z=+3.61 cm


 * -a) 4.895E-04 T-m
 * +b) 5.384E-04 T-m
 * -c) 5.923E-04 T-m
 * -d) 6.515E-04 T-m
 * -e) 7.167E-04 T-m

242) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?


 * -a) 2319 N.
 * +b) 2667 N.
 * -c) 3067 N.
 * -d) 3527 N.
 * -e) 4056 N.

243) Three wires sit at the corners of a square of length 0.716 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.94 A, 2.04 A, 2.41 A), respectively. What is the y-component of the magnetic field at point P?


 * -a) By= 6.833E-05 T
 * -b) By= 7.517E-05 T
 * +c) By= 8.268E-05 T
 * -d) By= 9.095E-05 T
 * -e) By= 1.000E-04 T

244) Three wires sit at the corners of a square of length 0.466 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.4 A, 2.42 A, 1.9 A), respectively. What is the x-component of the magnetic field at point P?


 * +a) Bx= 1.335E-04 T
 * -b) Bx= 1.468E-04 T
 * -c) Bx= 1.615E-04 T
 * -d) Bx= 1.777E-04 T
 * -e) Bx= 1.954E-04 T

245) A device requires consumes 172 W of power and requires 2.21 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.


 * -a) 3.157E+05 A/m2
 * -b) 3.472E+05 A/m2
 * -c) 3.820E+05 A/m2
 * +d) 4.202E+05 A/m2
 * -e) 4.622E+05 A/m2

246) What is the radiation force on an object that is 9.70E+11 m away from the sun and has cross-sectional area of 0.044 m2? The average power output of the Sun is 3.80E+26 W.


 * -a) 7.088E-09 N
 * -b) 7.796E-09 N
 * -c) 8.576E-09 N
 * +d) 9.434E-09 N
 * -e) 1.038E-08 N

247) A photon is polarized at 5&deg; when it encounters a filter oriented at 65&deg;. What is the probability that it is blocked?
 * -a) 3/4
 * -b) 0
 * -c) 1
 * +d) 1/4
 * -e) 1/2

248) What is the net capacitance if C1=2.96 &mu;F, C2=3.95 &mu;F, and C3=3.74 &mu;F in the configuration shown?


 * -a) 4.489E+00 &mu;F
 * -b) 4.938E+00 &mu;F
 * +c) 5.432E+00 &mu;F
 * -d) 5.975E+00 &mu;F
 * -e) 6.573E+00 &mu;F

249) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for $$r<a$$ is, $$B_\theta (r)=\left( \frac{2r}{a} - \frac{r^2}{a^2}\right)B_{max}$$, where $$B_{max}$$ is the maximum magnetic field (at $$r=a$$).  If $$a=$$ 0.549 m and $$B_{max}=\,$$ 0.599 T, then how much current (in the z-direction) flows through a circle of radius $$r=$$ 0.29 m that is centered on the axis with its plane perpendicular to the axis?


 * -a) 5.581E+05 A
 * -b) 6.139E+05 A
 * +c) 6.752E+05 A
 * -d) 7.428E+05 A
 * -e) 8.170E+05 A

250) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * -a) stays the same
 * -b) is cut in half
 * +c) becomes 4 times as big
 * -d) is reduced by a factor of 4
 * -e) becomes twice as big

251) When light passes from air to glass
 * -a) it does not bend
 * -b) the frequency decreases
 * -c) the frequency increases
 * +d) it bends towards the normal
 * -e) it bends away from the normal

252) A non-conducting sphere of radius R=3.5 m has a non-uniform charge density that varies with the distnce from its center as given by &rho;(r)=ar1.5 (r&le;R) where a=2 nC&middot;m-1.5. What is the magnitude of the electric field at a distance of 2.2 m from the center?


 * +a) 3.604E+02 N/C
 * -b) 3.964E+02 N/C
 * -c) 4.360E+02 N/C
 * -d) 4.796E+02 N/C
 * -e) 5.276E+02 N/C

253) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * +a) 1/4
 * -b) 3/4
 * -c) 1
 * -d) 5/4
 * -e) 1/2
 * -f) 0

254) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.893 T magnetic field is directed 66&deg; away from the wire?


 * -a) 2.697E+00 N/m
 * -b) 2.967E+00 N/m
 * +c) 3.263E+00 N/m
 * -d) 3.590E+00 N/m
 * -e) 3.948E+00 N/m

255) If you play the solitaire game 3 times, you will on average win ___ times.
 * -a) 4
 * +b) 2
 * -c) 1
 * -d) 3
 * -e) 5

256) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it passes?
 * -a) 1/4
 * -b) 1
 * -c) 3/4
 * +d) 0
 * -e) 1/2

257) 3 amps flow through a 1 Ohm resistor. What is the voltage?
 * -a) $$1V$$
 * -b) $$\frac{1}{3}V$$
 * -c) None these are correct.
 * +d) $$3V$$

258) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * +a) $$2r\varepsilon_0 E = R^2\rho $$
 * -b) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -c) $$2R\varepsilon_0 E=  r^2\rho $$
 * -d) none of these are correct
 * -e) $$2\varepsilon_0 E = r\rho $$

259) The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one?
 * +a) $$V_{Big-Resistor} = 6.67V$$ and $$V_{small-Resistor} = 3.33V$$.
 * -b) None of these are true.
 * -c) $$V_{Big-Resistor} = 3.33V$$ and$$V_{small-Resistor} = 6.67V$$.
 * -d) $$V_{small-Resistor} = 5V$$ and $$V_{Big-Resistor} = 5V$$.

260) A 727 mF capacitor is connected in series to a 860 M&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)


 * +a) 1.88 x 109 s.
 * -b) 5.93 x 109 s.
 * -c) 1.88 x 1010 s.
 * -d) 5.93 x 1010 s.
 * -e) 1.88 x 1011 s.

261) A Van de Graff generator has a 114 cm diameter metal sphere that produces 289 kV near its surface. What  is the excess charge on the sphere?


 * +a) 1.833E+01 &mu;C
 * -b) 2.016E+01 &mu;C
 * -c) 2.218E+01 &mu;C
 * -d) 2.440E+01 &mu;C
 * -e) 2.684E+01 &mu;C

Key: B2
1) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?
 * -a) $$R_{Total} = 0.5454\Omega$$.
 * -b) None of these are true.
 * -c) $$R_{Total} = 3\Omega$$.
 * +d) $$R_{Total} = 6\Omega$$.

2) Mr. Smith is gazing at something as shown in the figure to the left.  Suppose he does not refocus, but attempts to stare at the star shown in the figures below.  Which diagram depicts how the rays from the star would travel if he does not refocus?
 * -a) Ray_drawing_eye_schematic_alternate.svg
 * -b) Ray drawing eye Wrong Answer.svg
 * +c) Ray drawing eye schematic02.svg

3) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * -a) circular or linear
 * +b) circular or elliptical
 * -c) linearly
 * -d) linear or elliptical
 * -e) circular

4) What is the sum of 0.2 apples plus 57 apples?


 * +a) 5.72E+01 apples
 * -b) 6.27E+01 apples
 * -c) 6.88E+01 apples
 * -d) 7.54E+01 apples
 * -e) 8.27E+01 apples

5) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * -a) greater than 3 eV
 * -b) equal to 3 eV
 * -c) equal to 6 eV
 * -d) zero
 * +e) less than 3 eV

6) A long solenoid has a length 0.822 meters, radius 4.37 cm, and 515 turns. It surrounds  coil of radius 6.12 meters and 14turns.  If the current in the solenoid is changing at a rate of 118 A/s, what is the emf induced in the surounding coil?


 * -a) 2.229E-02 V
 * +b) 2.451E-02 V
 * -c) 2.697E-02 V
 * -d) 2.966E-02 V
 * -e) 3.263E-02 V

7) A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?


 * -a) 3.339E+09 N/C2
 * -b) 3.673E+09 N/C2
 * -c) 4.041E+09 N/C2
 * +d) 4.445E+09 N/C2
 * -e) 4.889E+09 N/C2

8) The same parallel plate capacitor, with area 0.75 m2, plate separation  0.53mm, and an applied voltage of 3.55 kV.  How much charge is stored?


 * -a) 29.25 &mu;C.
 * -b) 33.63 &mu;C.
 * -c) 38.68 &mu;C.
 * +d) 44.48 &mu;C.
 * -e) 51.15 &mu;C.

9) A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?
 * -a) 2V.
 * -b) 15V.
 * -c) 10V.
 * +d) 0.5V.

10) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=4), and (x=7, y=4), where x and y are measured in meters. The electric field is, $$\vec E=2y^{2.2}\hat i +3x^{2.1}\hat j +5y^{3.3}\hat k$$


 * -a) 2.610E+03 V&middot;m
 * -b) 2.871E+03 V&middot;m
 * +c) 3.158E+03 V&middot;m
 * -d) 3.474E+03 V&middot;m
 * -e) 3.822E+03 V&middot;m

11) What is the average current involved when a truck battery sets in motion 779 C of charge in 3.96 s while starting an engine?


 * -a) 1.626E+02 A
 * -b) 1.788E+02 A
 * +c) 1.967E+02 A
 * -d) 2.164E+02 A
 * -e) 2.380E+02 A

12) The diameter of a copper wire is 8.7 mm, and it carries a current of 22 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m3 and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)


 * +a) 2.77 x 10-5m/s
 * -b) 3.36 x 10-5m/s
 * -c) 4.06 x 10-5m/s
 * -d) 4.92 x 10-5m/s
 * -e) 5.97 x 10-5m/s

13) In an LC circuit, the self-inductance is 0.0116 H and the capacitance is 7.040E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.140E-05 C. How long does it take for the capacitor to become completely discharged?


 * +a) 4.489E-04 s
 * -b) 4.938E-04 s
 * -c) 5.432E-04 s
 * -d) 5.975E-04 s
 * -e) 6.572E-04 s

14) H is defined by, B=&mu;0H, where B is magnetic field. A current of 47A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,9) to the point (9,0).


 * -a) 8.91E+00 amps
 * -b) 9.77E+00 amps
 * -c) 1.07E+01 amps
 * +d) 1.18E+01 amps
 * -e) 1.29E+01 amps

15) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created
 * -a) electromagnetic
 * -b) both can be created
 * -c) pendulum
 * +d) electromagnetic or pendulum

16) Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.)  The charges are q1=3 &mu;C, q2=6 &mu;C, q3=9 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 5.178E+01 J
 * +b) 5.696E+01 J
 * -c) 6.266E+01 J
 * -d) 6.892E+01 J
 * -e) 7.582E+01 J

17) A Van de Graff generator has a 140 cm diameter metal sphere that produces 244 kV near its surface. What  is the excess charge on the sphere?


 * +a) 1.900E+01 &mu;C
 * -b) 2.090E+01 &mu;C
 * -c) 2.299E+01 &mu;C
 * -d) 2.529E+01 &mu;C
 * -e) 2.782E+01 &mu;C

18) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.8 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.9 m, z=z0=1.3 m, and z=z1=5.2 m. The surfaces in the yz plane each have area 18.0m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 7.0m2. An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 49&deg; from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * -a) 4.777E+01 N&middot;m2/C
 * -b) 5.254E+01 N&middot;m2/C
 * -c) 5.780E+01 N&middot;m2/C
 * +d) 6.358E+01 N&middot;m2/C
 * -e) 6.993E+01 N&middot;m2/C

19) If the wavelength &lambda; associated with a photon doubles, the photon's frequency f
 * -a) is reduced by a factor of 4
 * -b) stays the same
 * -c) becomes twice as big
 * +d) is cut in half
 * -e) becomes 4 times as big

20) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?
 * -a) 2.2W
 * +b) 24W
 * -c) 8W
 * -d) 3W

21) A washer has an inner diameter of 2.74 cm and an outer diamter of 4.71 cm. The thickness is $$h=Cr^{-n}$$ where $$r$$ is measured in cm, $$C=3.9mm$$, and $$n=2.85$$. What is the volume of the washer?


 * +a) 8.141E-01 cm3
 * -b) 8.955E-01 cm3
 * -c) 9.850E-01 cm3
 * -d) 1.084E+00 cm3
 * -e) 1.192E+00 cm3

22) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 45&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * -a) 9mW
 * -b) 3mW
 * +c) 6mW
 * -d) 4mW
 * -e) 8mW

23) A power supply delivers 145 watts of power to a 244 ohm resistor.  What was the applied voltage?


 * +a) 1.88 x 102 volts
 * -b) 2.28 x 102 volts
 * -c) 2.76 x 102 volts
 * -d) 3.34 x 102 volts
 * -e) 4.05 x 102 volts

24) If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope?
 * -a) None of these are true.
 * -b) Power.
 * -c) Discriminant.
 * +d) Resistance.

25) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
 * +a) 3/4
 * -b) 0
 * -c) 5/4
 * -d) 1/4
 * -e) 1/2
 * -f) 1

26) A parallel plate capacitor has both plates with an area of 0.55 m2. The separation between the plates is  0.53mm.  Applied to the plates is a potential difference of 4.25 kV.  What is the capacitance?


 * -a) 6.95 nF.
 * -b) 7.99 nF.
 * +c) 9.19 nF.
 * -d) 10.57 nF.
 * -e) 12.15 nF.

27) A device requires consumes 88 W of power and requires 11.3 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.


 * -a) 1.467E+06 A/m2
 * -b) 1.614E+06 A/m2
 * -c) 1.775E+06 A/m2
 * -d) 1.953E+06 A/m2
 * +e) 2.148E+06 A/m2

28) The charge passing a plane intersecting a wire is $$Q_M=\left(1-e^{t/\tau}\right)$$, where $$Q_M$$=18 C  and $$\tau=$$0.0169 s. What is the current at $$t=$$0.0137 s?


 * -a) 3.913E+02 A
 * -b) 4.305E+02 A
 * +c) 4.735E+02 A
 * -d) 5.209E+02 A
 * -e) 5.729E+02 A

29) What is the magnitude of the electric field at the origin if a 1.8 nC charge is placed at x = 9.6 m, and a 2 nC charge is placed at y = 8.7 m?


 * +a) 2.95 x 10-1N/C
 * -b) 3.41 x 10-1N/C
 * -c) 3.94 x 10-1N/C
 * -d) 4.55 x 10-1N/C
 * -e) 5.25 x 10-1N/C

30) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.


 * -a) 1.544E+06 m/s
 * -b) 1.698E+06 m/s
 * -c) 1.868E+06 m/s
 * +d) 2.055E+06 m/s
 * -e) 2.260E+06 m/s

31) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it passes?
 * +a) 0
 * -b) 1
 * -c) 1/4
 * -d) 1/2
 * -e) 3/4

32) An object is placed 8.6 cm to the left of a diverging lens with a focal length of 6.3 cm. How far is the image from the lens?


 * -a) 3.64 x 10-1 cm
 * -b) 6.47 x 10-1 cm
 * -c) 1.15 x 100 cm
 * -d) 2.04 x 100 cm
 * +e) 3.64 x 100 cm

33) A photon is polarized at 10&deg; when it encounters a filter oriented at 40&deg;. What is the probability that it is blocked?
 * -a) 0
 * -b) 1
 * -c) 1/2
 * -d) 1/4
 * +e) 3/4

34) A DC winch moter draws 24 amps at 159 volts as it lifts a 4.120E+03 N weight at a constant speed of 0.657 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.


 * -a) 1.447E+00 &Omega;
 * -b) 1.591E+00 &Omega;
 * -c) 1.751E+00 &Omega;
 * +d) 1.926E+00 &Omega;
 * -e) 2.118E+00 &Omega;

35) This figure is associated with
 * -a) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * +c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * -e) Evidence presented in 1800 that light is a wave.

36) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?
 * +a) $$\frac{10}{7}\Omega$$.
 * -b) $$\frac{6}{10}\Omega$$.
 * -c) $$\frac{10}{6}\Omega$$.
 * -d) $$\frac{7}{10}\Omega$$.

37) A square coil has sides that are L= 0.861 m long and is tightly wound with N=538 turns of wire. The resistance of the coil is R=9.04 &Omega;. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0433 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?


 * -a) 1.737E+00 A
 * +b) 1.910E+00 A
 * -c) 2.101E+00 A
 * -d) 2.311E+00 A
 * -e) 2.543E+00 A

38) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?
 * -a) 1018
 * -b) 8x1018
 * -c) 2x1018
 * +d) 4x1018
 * -e) 6x1018

39) If an atom absorbs a photon with 2 eV energy, the atom's energy
 * -a) decreases by 4 eV
 * -b) stays the same
 * -c) decreases by 2 eV
 * +d) increases by 2 eV
 * -e) increases by 4 eV

40) An RLC series combination is driven with an applied voltage of of V=V0sin(&omega;t), where V0=0.3 V. The resistance, inductance, and capacitance are R =2 &Omega;, L= 8.10E-03H, and C=9.40E-04 F, respectively. What is the amplitude of the current?


 * -a) 1.364E-01 A
 * +b) 1.500E-01 A
 * -c) 1.650E-01 A
 * -d) 1.815E-01 A
 * -e) 1.997E-01 A

41) A 57 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.447 T. What current is required to maintain this balance?


 * -a) 2.225E-01 A
 * -b) 2.448E-01 A
 * +c) 2.692E-01 A
 * -d) 2.962E-01 A
 * -e) 3.258E-01 A

42) In the circuit shown V=19.6 V, R1=1.45 &Omega;, R2=7.85 &Omega;, and R3=15.8 &Omega;. What is the power dissipated by R2?


 * -a) 2.730E+01 W
 * +b) 3.003E+01 W
 * -c) 3.304E+01 W
 * -d) 3.634E+01 W
 * -e) 3.998E+01 W

43) To create an unpolarized pendulum oscillation
 * +a) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations
 * -b) create an elliptically polarized wave with an 0.2<&epsilon;<0.8
 * -c) create an elliptically polarized wave with an &epsilon;>0.2
 * -d) create an elliptically polarized wave with an &epsilon;<0.8

44) A step-down transformer steps 6 kV down to 190 V. The high-voltage input is provided by a 130 &Omega; power line that carries 6 A of currentWhat is the output current (at the 190 V side ?)


 * -a) 1.424E+02 A
 * -b) 1.566E+02 A
 * -c) 1.722E+02 A
 * +d) 1.895E+02 A
 * -e) 2.084E+02 A

45) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 8&minus;s
 * +b) 4
 * -c) s&minus;4
 * -d) 4&minus;s
 * -e) s&minus;8

46) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal.  To counter the magnetic force, a voltage is applied between two large parallel plates that are 59  mm apart.  What must be the applied voltage if the magnetic field is 45&mu;T?


 * -a) 1.1 x 100 volts
 * -b) 3.6 x 100 volts
 * -c) 1.1 x 101 volts
 * +d) 3.6 x 101 volts
 * -e) 1.1 x 102 volts

47) What is the current through R1 and R2 in the figure shown?
 * -a) $$I_1 = 1A$$ and $$I_2 = 25A$$.
 * -b) $$I_1 = 10A$$ and $$I_2 = 16.67A$$.
 * +c) $$I_1 = 1A$$ and $$I_2 = 1.667A$$.
 * -d) $$I_1 = 0.1A$$ and $$I_2 = 0.1667A$$.

48) An ideal 5.7 volt battery is connected to a 0.054 ohm resistor.  To measure the current an ammeter with a resistance of 13$$m\Omega$$ is used.  What current does the ammeter actually read?


 * -a) 64.3 A.
 * -b) 74 A.
 * +c) 85.1 A.
 * -d) 97.8 A.
 * -e) 112.5 A.

49) A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * -a) 1/2
 * -b) 1/4
 * +c) 1
 * -d) 0
 * -e) 3/4

50) An electron gun has parallel plates separated by 2.85 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.302 &mu;C charge that gets between the plates?


 * -a) 2.505E-01 N
 * +b) 2.755E-01 N
 * -c) 3.031E-01 N
 * -d) 3.334E-01 N
 * -e) 3.667E-01 N

51) $$E_z(x=0,z)=\int_{-a}^b f(x,z)dx$$ is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m.  Evaluate $$f(x,y)$$ at x=0.65 m if a=0.85 m, b=1.8 m.  The total charge on the rod is 5 nC.


 * -a) 3.959E+00 V/m2
 * +b) 4.355E+00 V/m2
 * -c) 4.790E+00 V/m2
 * -d) 5.269E+00 V/m2
 * -e) 5.796E+00 V/m2

52) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following wins?
 * -a) none of these are true
 * -b) K and K&clubs;
 * -c) K and K&spades;
 * +d) two of these are true
 * -e) K&spades; and K&clubs;

53) If a 21 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=94 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.371E+00 m
 * -b) 1.509E+00 m
 * -c) 1.659E+00 m
 * -d) 1.825E+00 m
 * +e) 2.008E+00 m

54) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * -a) 72 + (8&minus;s)2
 * -b) 72 + 82
 * +c) (7-s)2 + 82
 * -d) 32 + 82
 * -e) 72 + (3&minus;s)2

55) An alpha-particle (m=6.64x10&minus;27kg, q=3.2x10&minus;19C) briefly enters a uniform magnetic field of magnitude 0.0887 T . It emerges after being deflected by 69&deg; from its original direction. How much time did it spend in that magnetic field?


 * -a) 2.561E-07 s
 * +b) 2.817E-07 s
 * -c) 3.099E-07 s
 * -d) 3.409E-07 s
 * -e) 3.750E-07 s

56) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 4.7 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.2 m from the center of the shells?


 * +a) 9.592E+00 N/C
 * -b) 1.055E+01 N/C
 * -c) 1.161E+01 N/C
 * -d) 1.277E+01 N/C
 * -e) 1.404E+01 N/C

57) A recangular coil with an area of 0.587 m2 and 13 turns is placed in a uniform magnetic field of 1.62 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 3.800E+03 s&minus;1.  What is the magnitude (absolute value) of the induced emf at t = 93 s?


 * -a) 2.512E+04 V
 * -b) 2.763E+04 V
 * -c) 3.039E+04 V
 * -d) 3.343E+04 V
 * +e) 3.677E+04 V

58) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * -a) 8mW
 * -b) 4mW
 * -c) 3mW
 * +d) 9mW
 * -e) 6mW

59) Calculate the drift speed of electrons in a copper wire with a diameter of 5.46 mm carrying a 5.05 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.


 * +a) 1.614E-05 m/s
 * -b) 1.776E-05 m/s
 * -c) 1.953E-05 m/s
 * -d) 2.149E-05 m/s
 * -e) 2.363E-05 m/s

60) An empty parallel-plate capacitor with metal plates has an area of 2.16 m2, separated by 1.12 mm. How much charge does it store if the voltage is 1.530E+03 V?


 * -a) 2.375E+01 &mu;C
 * +b) 2.613E+01 &mu;C
 * -c) 2.874E+01 &mu;C
 * -d) 3.161E+01 &mu;C
 * -e) 3.477E+01 &mu;C

61) Calculate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * +a) &minus;1/5
 * -b) +2/5
 * -c) 0
 * -d) &minus;2/5
 * -e) +1
 * -f) +1/5

62) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H$$ at a distance of 9.8m from a wire carrying a current of 9.6A?


 * -a) 1.30E-01 A/m
 * -b) 1.42E-01 A/m
 * +c) 1.56E-01 A/m
 * -d) 1.71E-01 A/m
 * -e) 1.87E-01 A/m

63) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the shorter side?
 * +a) $$\tfrac 1 2$$
 * -b) $$\tfrac 3 4$$
 * -c) $$ \tfrac 1 4$$
 * -d) $$\tfrac 1 \sqrt 2$$
 * -e) $$\tfrac \sqrt 3 2$$

64) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal A=$$:
 * -a) 8
 * +b) 4
 * -c) 1/2
 * -d) 2

65) The output of an ac generator connected to an RLC series combination has a frequency of 810 Hz and an amplitude of 0.64 V;. If R =6 &Omega;, L= 8.70E-03H, and C=8.20E-04 F, what is the impedance?


 * +a) 4.444E+01 &Omega;
 * -b) 4.889E+01 &Omega;
 * -c) 5.378E+01 &Omega;
 * -d) 5.916E+01 &Omega;
 * -e) 6.507E+01 &Omega;

66) A long solenoid has a radius of 0.624 m and 84 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$6 A and $$\alpha=$$20 s&minus;1.What is the induced electric fied at a distance 1.78 m from the axis at time t=0.0579 s ?


 * -a) 3.597E-04 V/m
 * -b) 3.956E-04 V/m
 * +c) 4.352E-04 V/m
 * -d) 4.787E-04 V/m
 * -e) 5.266E-04 V/m

67) You solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;.  Which of the following loses?
 * +a) K and K&clubs;
 * -b) K&spades; and K&clubs;
 * -c) none of these are true
 * -d) two of these are true
 * -e) K and K&spades;

68) A parallel plate capacitor with a capicatnce C=6.80E-06 F whose plates have an area A=6.60E+03 m2 and separation d=8.60E-03 m is connected via a swith to a 62 &Omega; resistor and a battery of voltage V0=36 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.60E-04?


 * -a) 8.288E-02 A
 * -b) 9.117E-02 A
 * -c) 1.003E-01 A
 * -d) 1.103E-01 A
 * +e) 1.213E-01 A

69) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 4&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * -a) be disqualified for cheating
 * -b) win 3 points
 * -c) lose 1 point
 * +d) lose 3 points
 * -e) win 1 point

70) A non-conducting sphere of radius R=2.9 m has a non-uniform charge density that varies with the distnce from its center as given by &rho;(r)=ar1.5 (r&le;R) where a=2 nC&middot;m-1.5. What is the magnitude of the electric field at a distance of 1.5 m from the center?


 * +a) 1.383E+02 N/C
 * -b) 1.522E+02 N/C
 * -c) 1.674E+02 N/C
 * -d) 1.841E+02 N/C
 * -e) 2.025E+02 N/C

71) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where$$\mathcal F=$$
 * -a) 1/2
 * +b) 3/2
 * -c) 2
 * -d) 3

72) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (1.96+2.52z)\rho^2\hat\rho +7.11z^2\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{top}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the top surface of the cylinder.


 * -a) 4.522E+02
 * -b) 5.478E+02
 * -c) 6.637E+02
 * +d) 8.041E+02
 * -e) 9.742E+02

73) If you play the solitaire game 3 times, you will on average win ___ times.
 * -a) 4
 * -b) 1
 * -c) 5
 * -d) 3
 * +e) 2

74) A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * -a) 3/4
 * -b) 1/4
 * +c) 1/2
 * -d) 0
 * -e) 1

75) Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is  opened as as S2 is closed.  How long will it take for the energy stored in the inductor to be reduced to 2.69% of its maximum value if &epsilon; = 4.79 V, R = 4.18 &Omega;, and L = 2.7 H?


 * -a) -8.773E-01 s
 * -b) -9.651E-01 s
 * -c) -1.062E+00 s
 * +d) -1.168E+00 s
 * -e) -1.284E+00 s

76) An induced emf of 4.13V is measured across a coil of 70 closely wound turns while the current throuth it increases uniformly from 0.0 to 2.63A in 0.133s. What is the self-inductance of the coil?


 * -a) 1.726E-01 H
 * -b) 1.899E-01 H
 * +c) 2.089E-01 H
 * -d) 2.297E-01 H
 * -e) 2.527E-01 H

77) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.5 m, z=z0=1.7 m, and z=z1=5.1 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 9.9m2 ,and those in the zx plane have area 7.8m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 58&deg; above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * -a) 1.698E+01 N&middot;m2/C
 * -b) 1.868E+01 N&middot;m2/C
 * -c) 2.055E+01 N&middot;m2/C
 * -d) 2.260E+01 N&middot;m2/C
 * +e) 2.486E+01 N&middot;m2/C

78) A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?
 * -a) $$\frac{11}{7}\Omega$$.
 * -b) $$\frac{7}{11}\Omega$$.
 * -c) $$\frac{10}{21}\Omega$$.
 * +d) $$\frac{21}{10}\Omega$$.

79) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm.  What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?


 * -a) 5.14 x 10-5 Volts
 * +b) 1.62 x 10-4 Volts
 * -c) 5.14 x 10-4 Volts
 * -d) 1.62 x 10-3 Volts
 * -e) 5.14 x 10-3 Volts

80) Three wires sit at the corners of a square of length 0.716 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.94 A, 2.04 A, 2.41 A), respectively. What is the y-component of the magnetic field at point P?


 * -a) By= 6.833E-05 T
 * -b) By= 7.517E-05 T
 * +c) By= 8.268E-05 T
 * -d) By= 9.095E-05 T
 * -e) By= 1.000E-04 T

81) If an atom absorbs a photon with 4 eV energy, the atom's energy
 * -a) increases by 2 eV
 * -b) decreases by 2 eV
 * +c) decreases by 4 eV
 * -d) increases by 4 eV
 * -e) stays the same

82) A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * -a) 3/4
 * +b) 1/4
 * -c) 1
 * -d) 0
 * -e) 1/2

83) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC and only twoimpedances are involved,  Q=&equiv;&omega;0L/R is definedso that Q is large if the resistance is low.  Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V0sin(&omega;t), where V0=3 V. The resistance, inductance, and capacitance are R =0.29 &Omega;, L= 4.80E-03H, and C=2.60E-06 F, respectively.


 * -a) Q = 1.288E+02
 * +b) Q = 1.482E+02
 * -c) Q = 1.704E+02
 * -d) Q = 1.959E+02
 * -e) Q = 2.253E+02

84) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.31 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.47 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.


 * +a) 8.672E+02 V
 * -b) 9.539E+02 V
 * -c) 1.049E+03 V
 * -d) 1.154E+03 V
 * -e) 1.270E+03 V

85) A cylinder of radius, r=3, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.12+1.68z)\rho^2\hat\rho +8.83z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\int_{side}\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the curved side surface of the cylinder.


 * +a) 2.158E+03
 * -b) 2.614E+03
 * -c) 3.167E+03
 * -d) 3.837E+03
 * -e) 4.649E+03

86) Two orbiting satellites are orbiting at a speed of 52 km/s perpendicular to a magnetic field of 41 &mu;T. They are connected by a cable that is 33 km long.  A voltmeter is attached between a satellite and one end of the cable.  The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit.  What is the measured voltage?


 * -a) 4.79 x 104 volts.
 * -b) 5.81 x 104 volts.
 * +c) 7.04 x 104 volts.
 * -d) 8.52 x 104 volts.
 * -e) 1.03 x 105 volts.

87) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for $$r<a$$ is, $$B_\theta (r)=\left( \frac{2r}{a} - \frac{r^2}{a^2}\right)B_{max}$$, where $$B_{max}$$ is the maximum magnetic field (at $$r=a$$).  If $$a=$$ 0.52 m and $$B_{max}=\,$$ 0.657 T, then how much current (in the z-direction) flows through a circle of radius $$r=$$ 0.295 m that is centered on the axis with its plane perpendicular to the axis?


 * +a) 7.876E+05 A
 * -b) 8.664E+05 A
 * -c) 9.530E+05 A
 * -d) 1.048E+06 A
 * -e) 1.153E+06 A

88) The light is linearly polarized, the electric field is oriented ________to the direction of motion
 * +a) perpendicular
 * -b) all of these are possible
 * -c) at 45 degrees
 * -d) parallel

89) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power is blocked by the filter?
 * +a) 3mW
 * -b) 9mW
 * -c) 6mW
 * -d) 8mW
 * -e) 4mW

90) Two sources of emf &epsilon;1=24.9 V, and  &epsilon;2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.32 k&Omega; and  R2=2.31 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=2.74 mA and I4=0.444 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?


 * -a) 1.725E+00 mA
 * -b) 1.898E+00 mA
 * -c) 2.087E+00 mA
 * +d) 2.296E+00 mA
 * -e) 2.526E+00 mA

91) What is the radiation force on an object that is 3.60E+11 m away from the sun and has cross-sectional area of 0.069 m2? The average power output of the Sun is 3.80E+26 W.


 * -a) 7.336E-08 N
 * -b) 8.069E-08 N
 * -c) 8.876E-08 N
 * -d) 9.764E-08 N
 * +e) 1.074E-07 N

92) What is consumer cost to operate one 73&minus;W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.113 per kilowatt-hour?


 * +a) $3.312E+01
 * -b) $3.643E+01
 * -c) $4.007E+01
 * -d) $4.408E+01
 * -e) $4.849E+01

93) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?


 * -a) 1.28 J.
 * -b) 1.47 J.
 * +c) 1.69 J.
 * -d) 1.94 J.
 * -e) 2.24 J.

94) In optics, normal means
 * -a) to the right of the optical axis
 * -b) to the left of the optical axis
 * +c) perpendicular to the surface
 * -d) parallel to the surface

95) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$
 * -a) s&minus;7
 * -b) s&minus;3
 * -c) 3&minus;s
 * +d) 7&minus;s
 * -e) 3

96) This figure is associated with
 * -a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * -b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * +e) Evidence presented in 1800 that light is a wave.

97) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.222 T magnetic field is directed 23&deg; away from the wire?


 * +a) 5.205E-01 N/m
 * -b) 5.725E-01 N/m
 * -c) 6.297E-01 N/m
 * -d) 6.927E-01 N/m
 * -e) 7.620E-01 N/m

98) A line of charge density &lambda; situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 3&minus;s
 * -b) 8
 * +c) 7&minus;s
 * -d) s&minus;7
 * -e) s&minus;3

99) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30&deg; to the incoming axis of polarization.  How much power passes the filter?
 * -a) 6mW
 * -b) 8mW
 * -c) 4mW
 * +d) 9mW
 * -e) 3mW

100) A 162 Watt DC motor draws 0.41 amps of current. What is effective resistance?


 * -a) 5.42 x 102 &Omega;
 * -b) 6.57 x 102 &Omega;
 * -c) 7.95 x 102 &Omega;
 * +d) 9.64 x 102 &Omega;
 * -e) 1.17 x 103 &Omega;

101) A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * -a) 1
 * -b) 1/4
 * +c) 1/2
 * -d) 3/4
 * -e) 0

102) A circlular capactitor of radius 4 m has a gap of 14 mm, and a charge of 24 &mu;C.  The capacitor is discharged through a  7 k&Omega; resistor.  What is the decay time?


 * -a) 1.84E-04 s
 * +b) 2.23E-04 s
 * -c) 2.70E-04 s
 * -d) 3.27E-04 s
 * -e) 3.96E-04 s

103) A 10 F capacitor is connected in series to a 10&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 4 x 100 s.
 * -b) 1.26 x 101 s.
 * -c) 4 x 101 s.
 * -d) 1.26 x 102 s.
 * +e) 4 x 102 s.

104) Imagine a substance could be made into a very hot filament. Suppose the resitance is 5.73 &Omega; at a temperature of 99&deg;C and that the temperature coefficient of expansion is 5.260E-03 (&deg;C)&minus;1). What is the resistance at a temperature of 420 &deg;C?


 * -a) 1.267E+01 &Omega;
 * -b) 1.331E+01 &Omega;
 * -c) 1.397E+01 &Omega;
 * -d) 1.467E+01 &Omega;
 * +e) 1.540E+01 &Omega;

105) H is defined by, B=&mu;0H, where B is magnetic field. A current of 51A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point ( - 7, 7) to the point (7, 7).


 * -a) 9.67E+00 amps
 * -b) 1.06E+01 amps
 * -c) 1.16E+01 amps
 * +d) 1.28E+01 amps
 * -e) 1.40E+01 amps

106) A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed?
 * -a) 2.5 Watts
 * -b) None of these are ture.
 * -c) 11.67 Joules
 * +d) 1.67 Watts

107) A 819 mF capacitor is connected in series to a 798 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 8.27 x 105 s.
 * +b) 2.61 x 106 s.
 * -c) 8.27 x 106 s.
 * -d) 2.61 x 107 s.
 * -e) 8.27 x 107 s.

108) What angle does the electric field at the origin make with the x-axis if a 1.4 nC charge is placed at x = -5.5 m, and a 2.8  nC charge is placed at y = -6.8 m?


 * -a) 3.95 x 101degrees
 * -b) 4.56 x 101degrees
 * +c) 5.26 x 101degrees
 * -d) 6.08 x 101degrees
 * -e) 7.02 x 101degrees

109) Calculate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.
 * -a) 6/5
 * -b) 5/6
 * -c) 5/4
 * -d) 4/5
 * +e) 7/5

110) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 30&deg; to that field?
 * -a) $$\tfrac 1 2$$
 * -b) $$\tfrac 1 4$$
 * -c) $$\tfrac 3 4$$
 * +d) $$\tfrac \sqrt 3 2$$
 * -e) $$\tfrac 1 \sqrt 2$$

111) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.44 kA, I2=1.1 kA, and I3=1.99 kA, take the $$\beta$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * -a) 1.017E-03 T-m
 * +b) 1.118E-03 T-m
 * -c) 1.230E-03 T-m
 * -d) 1.353E-03 T-m
 * -e) 1.489E-03 T-m

112) A 65 &mu;F capacitor is connected in series to a 414 k&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)


 * -a) 1.08 x 101 s.
 * -b) 3.4 x 101 s.
 * +c) 1.08 x 102 s.
 * -d) 3.4 x 102 s.
 * -e) 1.08 x 103 s.

113) A cyclotron used to accelerate alpha particlesm=6.64 x 10&minus;27kg, q=3.2 x 10&minus;19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?


 * -a) 7.476E+00 MeV
 * -b) 8.224E+00 MeV
 * -c) 9.046E+00 MeV
 * +d) 9.951E+00 MeV
 * -e) 1.095E+01 MeV

114) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * +a) is reduced by a factor of 4
 * -b) becomes 4 times as big
 * -c) stays the same
 * -d) becomes twice as big
 * -e) is cut in half

115) A resistor has 10 volts across it and 4 amps going through it. What is its resistance?
 * -a) $$4.5\Omega.$$
 * +b) $$2.5\Omega.$$
 * -c) $$3.5\Omega.$$
 * -d) None of these are true.

116) The output of an ac generator connected to an RLC series combination has a frequency of 1.90E+04 Hz and an amplitude of 3 V. If R =8 &Omega;, L= 9.70E-03H, and C=9.70E-06 F, what is the rms power transferred to the resistor?


 * -a) 7.670E-04 Watts
 * -b) 8.436E-04 Watts
 * -c) 9.280E-04 Watts
 * -d) 1.021E-03 Watts
 * +e) 1.123E-03 Watts

117) If this represents the eye looking at an object, where is this object?
 * -a) very far away
 * -b) One focal length in front of the eye
 * +c) Two (of the other answers) are true
 * -d) directly in front of the eye (almost touching)
 * -e) at infinity

118) Calculate the resistance of a 12-gauge copper wire that is 81 m long and carries a current of 32 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * -a) 3.737E-01 &Omega;
 * +b) 4.111E-01 &Omega;
 * -c) 4.522E-01 &Omega;
 * -d) 4.975E-01 &Omega;
 * -e) 5.472E-01 &Omega;

119) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * -a) $$2\varepsilon_0 E = r\rho $$
 * -b) $$2R\varepsilon_0 E=  r^2\rho $$
 * +c) $$2r\varepsilon_0 E = R^2\rho $$
 * -d) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -e) none of these are correct

120) Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.8 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=5.0 m, z=z0=1.6 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 6.5m2 ,and those in the zx plane have area 7.7m2. An electric field has the xyz components (0, 8.0, 9.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?


 * +a) 6.192E+01 N&middot;m2/C
 * -b) 6.811E+01 N&middot;m2/C
 * -c) 7.492E+01 N&middot;m2/C
 * -d) 8.242E+01 N&middot;m2/C
 * -e) 9.066E+01 N&middot;m2/C

121) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)
 * -a) circular or linear
 * +b) linearly
 * -c) circular or elliptical
 * -d) circular
 * -e) linear or elliptical

122) Two parallel wires each carry a 1.65 mA current and are oriented in the z direction. The first wire is located in the x-y   plane at (4.59 cm, 1.81 cm), while the other is located at (5.78 cm, 4.43 cm). What is the force per unit length between the wires?


 * -a) 1.422E-11 N/m
 * -b) 1.564E-11 N/m
 * -c) 1.720E-11 N/m
 * +d) 1.892E-11 N/m
 * -e) 2.081E-11 N/m

123) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.  By what factor does a filter reduce the electric field if it is oriented 60&deg; to that field?
 * -a) $$\tfrac 1 4$$
 * -b) $$\tfrac 1 \sqrt 2$$
 * -c) $$\tfrac 3 4$$
 * +d) $$\tfrac 1 2$$
 * -e) $$\tfrac \sqrt 3 2$$

124) An ac generator produces an emf of amplitude 5 V at a frequency of 52 Hz. What is the maximum amplitude of the current if the generator is connected to a  49 mF inductor?


 * -a) 2.839E-01 A
 * +b) 3.123E-01 A
 * -c) 3.435E-01 A
 * -d) 3.779E-01 A
 * -e) 4.157E-01 A

125) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal F=$$:
 * -a) 2/3
 * -b) 3
 * -c) 1/2
 * +d) 3/2
 * -e) 2

126) A make-believe metal has a density of 1.180E+04 kg/m3 and an atomic mass of 121.0 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.


 * -a) 4.010E+28 e&minus;/m3
 * -b) 4.411E+28 e&minus;/m3
 * -c) 4.852E+28 e&minus;/m3
 * -d) 5.337E+28 e&minus;/m3
 * +e) 5.871E+28 e&minus;/m3

127) An important principle that allows fiber optics to work is
 * -a) the Doppler shift
 * -b) the invariance of the speed of light
 * -c) partial internal absorption
 * +d) total internal reflection
 * -e) total external refraction

128) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30&deg; from the first, and the third is rotated by an additional 60&deg;, making it at right angles from the first filter.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 3/16
 * -b) 1/16
 * -c) 1/8
 * +d) 3/32
 * -e) 1/32

129) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?
 * +a) No unique answer exists because two variables are involved (temperature and volume).
 * -b) They have the same energy (since the holes are identical).
 * -c) The hotter object has a greater energy.
 * -d) The larger object has a greater energy.

130) A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?
 * -a) I = 5A &  P = 3W.
 * -b) I = 5A &  P = 5W.
 * +c) I = 5A &  P = 25W.
 * -d) I = 5A &  P = 9W

131) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * -a) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * -b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * +c) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * -d) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * -e) none of these are correct

132) An object of height 0.68 cm is placed 140 cm behind a diverging lens with a focal length of 87 cm. What is the height of the image?


 * -a) 1.26 x 10-1 cm
 * -b) 1.51 x 10-1 cm
 * -c) 1.81 x 10-1 cm
 * -d) 2.17 x 10-1 cm
 * +e) 2.61 x 10-1 cm

133) In the figure shown C1=15.0 &mu;F, C2=2.65 &mu;F, and C3=5.67 &mu;F. The voltage source provides &epsilon;=7.44 V. What is the charge on C1?


 * +a) 3.982E+01 &mu;C
 * -b) 4.380E+01 &mu;C
 * -c) 4.818E+01 &mu;C
 * -d) 5.300E+01 &mu;C
 * -e) 5.829E+01 &mu;C

134) A 3.1 volt battery moves 40 Coulombs of charge in 0.9 hours. What is the power?


 * -a) 2.61 x 10-2 W
 * -b) 3.16 x 10-2 W
 * +c) 3.83 x 10-2 W
 * -d) 4.64 x 10-2 W
 * -e) 5.62 x 10-2 W

135) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 569 V.  If the combined external and internal resistance is 137 &Omega and the capacitance is  76 mF, how long will it take for the capacitor's voltage to reach 419.0 V?


 * -a) 1.043E+01 s
 * -b) 1.147E+01 s
 * -c) 1.262E+01 s
 * +d) 1.388E+01 s
 * -e) 1.527E+01 s

136) A 727 mF capacitor is connected in series to a 860 M&Omega; resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)


 * +a) 1.88 x 109 s.
 * -b) 5.93 x 109 s.
 * -c) 1.88 x 1010 s.
 * -d) 5.93 x 1010 s.
 * -e) 1.88 x 1011 s.

137) $$E(z)=\int_{0}^R f(r',z)dr'$$ is an integral that calculates the magnitude of the electric field at a distance $$z$$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk.  The disk's radius is $$R=1.8\text{ m}$$ and the surface charge density is $$\sigma=9\text{ nC/m}^3$$. Evaluate $$f(r',z)$$ at $$r'=0.83\text{ m}$$.


 * +a) 2.898E+01 V/m2
 * -b) 3.188E+01 V/m2
 * -c) 3.507E+01 V/m2
 * -d) 3.857E+01 V/m2
 * -e) 4.243E+01 V/m2

138) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$1$$ what is the length of each side?
 * -a) $$\sqrt 2$$
 * -b) $$1$$
 * +c) $$\tfrac 1 \sqrt 2$$
 * -d) $$\tfrac 1 2$$
 * -e) $$2\sqrt 2$$

139) A very long and thin solenoid has 1292 turns and is 122 meters long. The wire carrys a current of 8.4A. If this solenoid is sufficiently thin, what is the line integral of$$\int \vec H\cdot\vec{d\ell}$$ along an on-axis path that starts 39 meters from the center and stops 75 meters from the center?


 * -a) 1.63E+03 A
 * -b) 1.78E+03 A
 * +c) 1.96E+03 A
 * -d) 2.15E+03 A
 * -e) 2.35E+03 A

140) The law of reflection applies to
 * -a) telescopes but not microscopes
 * -b) only light in a vacuum
 * -c) curved surfaces
 * -d) flat surfaces
 * +e) both flat and curved surfaces

141) What is the radiation pressure on an object that is 8.10E+11 m away from the sun and has cross-sectional area of 0.057 m2? The average power output of the Sun is 3.80E+26 W.


 * +a) 3.075E-07 N/m2
 * -b) 3.382E-07 N/m2
 * -c) 3.720E-07 N/m2
 * -d) 4.092E-07 N/m2
 * -e) 4.502E-07 N/m2

142) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy
 * -a) stays the same
 * -b) increases by 2 eV
 * +c) decreases by 4 eV
 * -d) increases by 4 eV
 * -e) decreases by 2 eV

143) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 &mu;T. The kinetic energy is 437 keV.  What is the radius of particle's orbit?


 * -a) 1.3 x 102 m.
 * -b) 4.1 x 102 m.
 * -c) 1.3 x 103 m.
 * -d) 4.1 x 103 m.
 * +e) 1.3 x 104 m.

144) An electron beam (m=9.1 x 10&minus;31kg, q=1.6 x 10&minus;19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.49 mT and 5.570E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?


 * -a) 9.223E+05 m/s
 * +b) 1.015E+06 m/s
 * -c) 1.116E+06 m/s
 * -d) 1.228E+06 m/s
 * -e) 1.350E+06 m/s

145) A spatially uniform magnetic points in the z-direction and oscilates with time as $$\vec B(t) = B_0\sin\omega t $$ where $$B_0=$$3.84 T and $$\omega=$$4.410E+03 s&minus;1. Suppose the electric field is always zero at point $$\mathcal O$$, and consider a circle of radius 0.379 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral $$\oint \vec B\cdot d\vec s$$ around the circle.


 * -a) 3.333E+04 V
 * -b) 3.666E+04 V
 * +c) 4.033E+04 V
 * -d) 4.436E+04 V
 * -e) 4.879E+04 V

146) A charged particle in a magnetic field of 1.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.330E+05 m/s. What is the period of orbit if orbital radius is 0.893 m?


 * -a) 2.189E-05 s
 * +b) 2.408E-05 s
 * -c) 2.649E-05 s
 * -d) 2.914E-05 s
 * -e) 3.205E-05 s

147) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?


 * -a) 2.36 x 10-3 newtons
 * -b) 7.47 x 10-3 newtons
 * -c) 2.36 x 10-2 newtons
 * +d) 7.47 x 10-2 newtons
 * -e) 2.36 x 10-1 newtons

148) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 27 turns per centimeter and the current applied to the solenoid is 344 mA, the net magnetic field is measured to be 1.12 T. What is the magnetic susceptibility for this case?


 * -a) $$\chi \text{ (chi) }=$$ 7.922E+02
 * -b) $$\chi \text{ (chi) }=$$ 8.714E+02
 * +c) $$\chi \text{ (chi) }=$$ 9.586E+02
 * -d) $$\chi \text{ (chi) }=$$ 1.054E+03
 * -e) $$\chi \text{ (chi) }=$$ 1.160E+03

149) A circlular capactitor of radius 3.3 m has a gap of 14 mm, and a charge of 11 &mu;C.  What is the electric field between the plates?


 * -a) 2.04E+04 N/C (or V/m)
 * -b) 2.47E+04 N/C (or V/m)
 * -c) 3.00E+04 N/C (or V/m)
 * +d) 3.63E+04 N/C (or V/m)
 * -e) 4.40E+04 N/C (or V/m)

150) Two sources of emf &epsilon;1=36.7 V, and  &epsilon;2=13.6 V are oriented as shownin the circuit. The resistances are R1=2.86 k&Omega; and  R2=2.2 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=3.02 mA and I4=0.854 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?


 * +a) 1.380E+01 V
 * -b) 1.518E+01 V
 * -c) 1.670E+01 V
 * -d) 1.837E+01 V
 * -e) 2.020E+01 V

151) An ac generator produces an emf of amplitude 98 V at a frequency of 110 Hz. What is the maximum amplitude of the current if the generator is connected to a  2 mF capacitor?


 * -a) 1.232E-01 A
 * +b) 1.355E-01 A
 * -c) 1.490E-01 A
 * -d) 1.639E-01 A
 * -e) 1.803E-01 A

152) A 12.0 V battery can move 44,000 C of charge. How many Joules does it deliver?


 * -a) 4.800E+05 J
 * +b) 5.280E+05 J
 * -c) 5.808E+05 J
 * -d) 6.389E+05 J
 * -e) 7.028E+05 J

153) If you play the solitaire game 6 times, you will on average lose ___ times.
 * -a) 3
 * +b) 2
 * -c) 4
 * -d) 6
 * -e) 5

154) Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =6.88 s if &epsilon; = 2.58 V, R = 5.69 &Omega;, and L = 6.94 H?


 * +a) 4.518E-01 V
 * -b) 5.422E-01 V
 * -c) 6.506E-01 V
 * -d) 7.807E-01 V
 * -e) 9.369E-01 V

155) A line of charge density &lambda; situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal B=$$
 * +a) 2
 * -b) &minus;3
 * -c) &minus;3
 * -d) 3
 * -e) &minus;7

156) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) s&minus;4
 * -b) 5&minus;s
 * +c) 5
 * -d) s&minus;1
 * -e) 1&minus;s

157) A solenoid has 9.160E+04 turns wound around a cylinder of diameter 1.64 cm and length 16 m. The current through the coils is 0.873 A.  Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $$\int\vec B\cdot\vec\ell$$ alongthe axis from z=&minus;1.74 cm to z=+4.75 cm


 * -a) 3.369E-04 T-m
 * -b) 3.706E-04 T-m
 * +c) 4.076E-04 T-m
 * -d) 4.484E-04 T-m
 * -e) 4.932E-04 T-m

158) Calculate the motional emf induced along a 48.8 km conductor moving at an orbital speed of 7.88 km/s perpendicular to Earth's 4.660E-05 Tesla magnetic field.


 * -a) 1.224E+04 V
 * -b) 1.346E+04 V
 * -c) 1.481E+04 V
 * -d) 1.629E+04 V
 * +e) 1.792E+04 V

159) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * -a) The larger object has a greater energy density.
 * -b) They have the same energy density (since the holes are identical).
 * +c) The hotter object has a greater energy density.
 * -d) No unique answer exists because two variables are involved (temperature and volume).

160) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal D^2 + \mathcal E^2=$$:
 * -a) 92 + (7-s)2
 * -b) 72 + (2-s)2
 * +c) 22 + (9-s)2
 * -d) 92 + (2-s)2
 * -e) 22 + (7-s)2

161) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?


 * -a) 2319 N.
 * +b) 2667 N.
 * -c) 3067 N.
 * -d) 3527 N.
 * -e) 4056 N.

162) Three wires sit at the corners of a square of length 0.785 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (2.23 A, 1.52 A, 1.86 A), respectively. What is the x-component of the magnetic field at point P?


 * -a) Bx= 4.559E-05 T
 * -b) Bx= 5.015E-05 T
 * -c) Bx= 5.517E-05 T
 * -d) Bx= 6.068E-05 T
 * +e) Bx= 6.675E-05 T

163) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.
 * -a) true
 * +b) false

164) A 5 C charge is separated from a 12 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * -a) 1.381E-06 J
 * -b) 1.519E-06 J
 * -c) 1.671E-06 J
 * -d) 1.838E-06 J
 * +e) 2.022E-06 J

165) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?
 * -a) It's an Electrical Cliche.
 * +b) Voltage is a measure of Electric Potential difference between two electrical points.
 * -c) The other point could be Negative or positive.
 * -d) None these are correct

166) A parallel plate capacitor with a capicatnce C=7.60E-06 F whose plates have an area A=2.90E+03 m2 and separation d=3.40E-03 m is connected via a swith to a 15 &Omega; resistor and a battery of voltage V0=90 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=2.20E-04?


 * +a) 7.693E+01 V
 * -b) 8.463E+01 V
 * -c) 9.309E+01 V
 * -d) 1.024E+02 V
 * -e) 1.126E+02 V

167)  Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * -a) how a nearsighted person might see an object that is too close for comfort
 * -b) how a farsighted person might see a distant object
 * +c) how a farsighted person might see an object that is too close for comfort
 * -d) how a nearsighted person might see a distant object

168) If the hypotenuse of a 45&deg;-45&deg; right triangle has a length of $$\sqrt 2$$ what is the length of each side?
 * -a) $$\tfrac 1 \sqrt 2$$
 * -b) $$2\sqrt 2$$
 * -c) $$1$$
 * -d) $$\tfrac 1 2$$
 * +e) $$\sqrt 2$$

169) This figure is associated with
 * +a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * -c) Evidence presented in 1800 that light is a wave.
 * -d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * -e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

170) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?


 * -a) 3.2 x 103 volts
 * -b) 4.9 x 103 volts
 * -c) 7.3 x 103 volts
 * -d) 1.1 x 104 volts
 * +e) 1.6 x 104 volts

171) H is defined by, B=&mu;0H, where B is magnetic field. A current of 89A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from the point (0,4.8) to the point (4.8,4.8).


 * -a) 9.25E+00 amps
 * -b) 1.01E+01 amps
 * +c) 1.11E+01 amps
 * -d) 1.22E+01 amps
 * -e) 1.34E+01 amps

172) A 7.5 ohm resistor is connected in series to a pair of 7 ohm resistors that are in parallel.  What is the net resistance?


 * -a) 8.3 ohms.
 * -b) 9.6 ohms.
 * +c) 11 ohms.
 * -d) 12.7 ohms.
 * -e) 14.5 ohms.

173) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?
 * -a) $$R_1 = 150V$$ and $$R_2 = 100V$$.
 * -b) $$R_1 = 250V$$ and $$R_2 = 0V$$.
 * +c) $$R_1 = 125V$$ and $$R_2 = 125V$$.
 * -d) None of these are true.

174) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
 * -a) 5/4
 * -b) 1
 * -c) 3/4
 * -d) 0
 * +e) 1/2
 * -f) 1/4

175) How fast is a 2663 eV electron moving?


 * +a) 3.1 x 107 m/s.
 * -b) 4.6 x 107 m/s.
 * -c) 6.9 x 107 m/s.
 * -d) 1 x 108 m/s.
 * -e) 1.5 x 108 m/s.

176) Three 1 ohm resistors are connected in parallel. What is the total resistance?
 * -a) $$\frac{2}{3}\Omega$$.
 * -b) $$ 3\Omega$$.
 * +c) $$\frac{1}{3}\Omega$$.
 * -d) $$\frac{3}{2}\Omega$$.

177) This figure is associated with
 * -a) Evidence presented in 1800 that light is a wave.
 * +b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * -c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * -d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * -e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

178) If the hypotenuse of a 60&deg;-30&deg; right triangle has a length of 1 what is the length of the longer side?
 * -a) $$\tfrac 1 \sqrt 2$$
 * -b) $$ \tfrac 1 4$$
 * -c) $$\tfrac 1 2$$
 * +d) $$\tfrac \sqrt 3 2$$
 * -e) $$\tfrac 3 4$$

179) The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one?
 * +a) $$V_{Big-Resistor} = 6.67V$$ and $$V_{small-Resistor} = 3.33V$$.
 * -b) None of these are true.
 * -c) $$V_{small-Resistor} = 5V$$ and $$V_{Big-Resistor} = 5V$$.
 * -d) $$V_{Big-Resistor} = 3.33V$$ and$$V_{small-Resistor} = 6.67V$$.

180) Calculate the electric field in a 12-gauge copper wire that is 64 m long and carries a current of 76 mA. The resistivity of copper is 1.680E-08 &Omega;&middot;m and 12-gauge wire as a cross-sectional area of 3.31 mm2.


 * -a) 2.635E-04 V/m
 * -b) 2.898E-04 V/m
 * -c) 3.188E-04 V/m
 * -d) 3.507E-04 V/m
 * +e) 3.857E-04 V/m

181) An object is placed 4.65 cm to the left of a converging lens with a focal length of 6.2 cm. How far is the image from the lens?


 * -a) 1.86 x 100 cm
 * -b) 3.31 x 100 cm
 * -c) 5.88 x 100 cm
 * -d) 1.05 x 101 cm
 * +e) 1.86 x 101 cm

182) The focal point is where
 * -a) rays meet if they are parallel to each other
 * -b) rays meet whenever they are forming an image
 * +c) rays meet if they were parallel to the optical axis before striking a lens
 * -d) the center of the lens
 * -e) rays meet whenever they pass through a lens

183) A long solenoid has a radius of 0.851 m and 12 turns per meter; its current decreases with time according to $$I_0e^{-\alpha t}$$, where $$I_0=$$3 A and $$\alpha=$$30 s&minus;1.What is the induced electric fied at a distance 0.14 m from the axis at time t=0.0531 s ?


 * -a) 1.319E-05 V/m
 * -b) 1.451E-05 V/m
 * -c) 1.596E-05 V/m
 * -d) 1.756E-05 V/m
 * +e) 1.932E-05 V/m

184) What is the net capacitance if C1=4.7 &mu;F, C2=4.82 &mu;F, and C3=3.61 &mu;F in the configuration shown?


 * -a) 5.445E+00 &mu;F
 * +b) 5.990E+00 &mu;F
 * -c) 6.589E+00 &mu;F
 * -d) 7.247E+00 &mu;F
 * -e) 7.972E+00 &mu;F

185) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
 * +a) 5/4
 * -b) 1
 * -c) 1/2
 * -d) 3/4
 * -e) 1/4
 * -f) 0

186) A line of charge density &lambda; situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * +a) 1&minus;s
 * -b) 5
 * -c) s&minus;4
 * -d) 5&minus;s
 * -e) s&minus;1

187) An object is placed 12.1 cm to the left of a diverging lens with a focal length of 16.9 cm. On the side, at a distance of 6.7 cm from the diverging lens is a converging lens with focal length equal to 4 cm.  How far is the final image from the converging lens?


 * +a) 5.64 x 100 cm
 * -b) 1.78 x 101 cm
 * -c) 5.64 x 101 cm
 * -d) 1.78 x 102 cm
 * -e) 5.64 x 102 cm

188) A circlular capactitor of radius 4.4 m has a gap of 8 mm, and a charge of 85 &mu;C.  Compute the surface integral  $$c^{-2}\oint\vec E\cdot d\vec A$$ over an inner face of the capacitor.


 * -a) 4.96E-11 Vs2m-1
 * -b) 6.01E-11 Vs2m-1
 * -c) 7.28E-11 Vs2m-1
 * -d) 8.82E-11 Vs2m-1
 * +e) 1.07E-10 Vs2m-1

189) A very long and thin solenoid has 1259 turns and is 154 meters long. The wire carrys a current of 9A. What is the magnetic field in the center?


 * +a) 9.25E-05 Tesla
 * -b) 1.01E-04 Tesla
 * -c) 1.11E-04 Tesla
 * -d) 1.22E-04 Tesla
 * -e) 1.34E-04 Tesla

190) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * -a) is reduced by a factor of 4
 * -b) becomes twice as big
 * -c) stays the same
 * -d) is cut in half
 * +e) becomes 4 times as big

191) If you play the solitaire game 6 times, you will on average win ___ times.
 * -a) 5
 * -b) 6
 * +c) 4
 * -d) 2
 * -e) 3

192) A circlular capactitor of radius 4.9 m has a gap of 14 mm, and a charge of 56 &mu;C.  The capacitor is discharged through a  6 k&Omega; resistor.  What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)


 * -a) 3.18E-09 Tesla
 * -b) 4.00E-09 Tesla
 * -c) 5.04E-09 Tesla
 * -d) 6.34E-09 Tesla
 * +e) 7.99E-09 Tesla

193) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * +a) 2/5
 * -b) 2/4=1/2
 * -c) 3/4
 * -d) 3/5
 * -e) 5/6

194) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?
 * -a) measuring both spin and polarization
 * -b) measuring polarization
 * +c) stopping the electron with an applied voltage
 * -d) deflecting the electron with a magnetic field
 * -e) measuring spin

195) When a 8.6 V battery operates a 2.76 W bulb, how many electrons pass through it each second?


 * -a) 1.655E+18 electrons
 * -b) 1.821E+18 electrons
 * +c) 2.003E+18 electrons
 * -d) 2.203E+18 electrons
 * -e) 2.424E+18 electrons

196) In the figure shown C1=17.7 &mu;F, C2=2.48 &mu;F, and C3=4.68 &mu;F. The voltage source provides &epsilon;=12.7 V. What is the energy stored in C2?


 * +a) 2.242E+01 &mu;J
 * -b) 2.467E+01 &mu;J
 * -c) 2.713E+01 &mu;J
 * -d) 2.985E+01 &mu;J
 * -e) 3.283E+01 &mu;J

197) A cylinder of radius, r=3, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as, $$\vec\mathfrak F = (2.44+2.86z)\rho^2\hat\rho +7.42z^3\hat z $$ Let $$\hat n$$ be the outward unit normal to this cylinder and evaluate, $$\left |\oint\vec\mathfrak F\cdot\hat n dA\right|\,$$ over the entire surface of the cylinder.


 * -a) 9.41E+03
 * -b) 1.14E+04
 * +c) 1.38E+04
 * -d) 1.67E+04
 * -e) 2.03E+04

198) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.798 m. The magnetic field is spatially uniform but decays in time according to $$(3.7)e^{-\alpha t}$$, where $$\alpha=$$4.63 s. What is the current in the coil if the impedance of the coil is 75.7 &Omega;?


 * -a) 2.651E-01 A
 * -b) 2.917E-01 A
 * -c) 3.208E-01 A
 * +d) 3.529E-01 A
 * -e) 3.882E-01 A

199) Amphere's law for magnetostatic currents is that $$\oint\vec H\cdot\vec{d\ell}=\int\vec J\cdot \vec {dA}$$ equals the current enclosed by the closed loop, and $$B=\mu_0H$$ is the magnetic field. A current of 4.7A flows upward along the z axis. Noting that for this geometry, $$\oint \vec B \cdot\vec{d\ell} = B\oint d\ell$$, calculate the line integral $$\oint d\ell$$ for a circle of radius 6.5m.


 * -a) 3.10E+01 m
 * -b) 3.40E+01 m
 * -c) 3.72E+01 m
 * +d) 4.08E+01 m
 * -e) 4.48E+01 m

200) If you put an infinite number of resistors in parallel, what would the total resistance be?
 * -a) None of these are true.
 * -b) $$R_{total}$$ would approach 1 as The No. of Resistors In parallel Approaches Infinity
 * +c) $$R_{total}$$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.
 * -d) It is not possible to connect that Number of Resistors in parallel.

201) A circular current loop of radius 1.59 cm carries a current of 1.13 mA. What is the magnitude of the torque if the dipole is oriented at 41 &deg; to a uniform magnetic fied of 0.189 T?


 * +a) 1.113E-07 N m
 * -b) 1.224E-07 N m
 * -c) 1.347E-07 N m
 * -d) 1.481E-07 N m
 * -e) 1.629E-07 N m

202) A 1.4 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?


 * -a) 0.86 kV/m.
 * -b) 0.99 kV/m.
 * -c) 1.14 kV/m.
 * +d) 1.31 kV/m.
 * -e) 1.51 kV/m.

203) A photon is polarized at 5&deg; when it encounters a filter oriented at 65&deg;. What is the probability that it is blocked?
 * -a) 3/4
 * -b) 1/2
 * -c) 0
 * -d) 1
 * +e) 1/4

204) H is defined by, B=&mu;0H, where B is magnetic field. A current of 66A passes along the z-axis. Use symmetry to find the integral, $$\int \vec H\cdot\vec{d\ell}$$, from  ( -&infin; ,5.5) to (+ &infin; ,5.5).


 * -a) 3.01E+01 amps
 * +b) 3.30E+01 amps
 * -c) 3.62E+01 amps
 * -d) 3.97E+01 amps
 * -e) 4.35E+01 amps

205) 3 amps flow through a 1 Ohm resistor. What is the voltage?
 * -a) $$1V$$
 * -b) $$\frac{1}{3}V$$
 * -c) None these are correct.
 * +d) $$3V$$

206) A 42 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 98 kW?


 * -a) 1.641E+02 km
 * -b) 1.805E+02 km
 * +c) 1.986E+02 km
 * -d) 2.184E+02 km
 * -e) 2.403E+02 km

207) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?
 * -a) $$\frac{3}{6}\Omega$$.
 * -b) $$\frac{6}{3}\Omega$$.
 * -c) $$\frac{11}{6}\Omega$$.
 * +d) $$\frac{6}{11}\Omega$$.

208) A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?
 * -a) 12A
 * -b) 1.5A
 * -c) 3A
 * +d) 2A

209) A proton is accelerated (at rest) from a plate held at 333.6 volts to a plate at zero volts. What is the final speed?


 * -a) 1.1 x 105 m/s.
 * -b) 1.7 x 105 m/s.
 * +c) 2.5 x 105 m/s.
 * -d) 3.8 x 105 m/s.
 * -e) 5.7 x 105 m/s.

210) The resistances in the figure shown are R1= 1.1 &Omega;, R2= 1.55 &Omega;, and R2= 2.11 &Omega;. V1 and V3 are text 0.545 V and 3.22 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=&minus;0.744 V. What is the absolute value of the current through R1?


 * -a) 1.886E-01 A
 * +b) 2.075E-01 A
 * -c) 2.282E-01 A
 * -d) 2.510E-01 A
 * -e) 2.761E-01 A

211) Calculate the quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * +a) +1/5
 * -b) 0
 * -c) &minus;1/5
 * -d) &minus;2/5
 * -e) +2/5
 * -f) +1

212) When light passes from air to glass
 * -a) the frequency decreases
 * +b) it bends towards the normal
 * -c) it does not bend
 * -d) it bends away from the normal
 * -e) the frequency increases

213) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=  H\rho z$$
 * +b) $$\varepsilon_0 E = H\rho /2$$
 * -c) none of these are correct
 * -d) $$\varepsilon_0 E=  H\rho $$
 * -e) $$\varepsilon_0 E=   \rho z $$

214) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?
 * -a) The object with the greater volume.
 * -b) No unique answer exists because two variables are involved (temperature and volume).
 * -c) They both emit the same number of photons (since the holes are identical).
 * +d) The object with the greater temperature emits more.

215) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and  P2 where the polar coordinates (r,&phi;) of  P1 are  (7 cm, 0&deg;) and  P2 is at (16 cm, 11&deg;).


 * -a) 3.581E+02 V
 * -b) 3.939E+02 V
 * +c) 4.333E+02 V
 * -d) 4.767E+02 V
 * -e) 5.243E+02 V

216) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
 * -a) 5/4
 * +b) 1/4
 * -c) 3/4
 * -d) 1
 * -e) 0
 * -f) 1/2

217) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at  (x,y) =( 1.1a, 1.2a) is &beta;kQ/a2, where &beta; equals


 * -a) 2.36 x 10-1 unit
 * -b) 2.86 x 10-1 unit
 * +c) 3.47 x 10-1 unit
 * -d) 4.2 x 10-1 unit
 * -e) 5.09 x 10-1 unit

218) A cylinder of height 1.34 cm and radius 2.47 cm is cut into a wedge as shown. Now imagine that the volume grows as &theta; increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 1.23 cm from point O and moves at a speed of 6.23 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.) --(Answer & Why this question is different.)


 * -a) 1.414E+01 cm3/s
 * -b) 1.556E+01 cm3/s
 * -c) 1.711E+01 cm3/s
 * -d) 1.882E+01 cm3/s
 * +e) 2.070E+01 cm3/s

219) Under most conditions the current is distributed uniformly over the cross section of the wire.  What is the magnetic field 2.59 mm from the center of a wire of radius 5 mm if the current is 1A?


 * +a) 2.072E-05 T
 * -b) 2.279E-05 T
 * -c) 2.507E-05 T
 * -d) 2.758E-05 T
 * -e) 3.034E-05 T

220) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=6\times 10^{-7}\text{m}$$. What is the magnitude of the net force on $$q_2$$ if $$q_1=3e$$, $$q_2=-7e$$, and $$q_3=5e$$?


 * -a) 9.958E-15 N
 * -b) 1.095E-14 N
 * -c) 1.205E-14 N
 * -d) 1.325E-14 N
 * +e) 1.458E-14 N

221) Two large parallel conducting plates are separated by 7.93 mm. Equal and opposite surface charges of 7.720E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 77 V?


 * -a) 6.678E-01 mm
 * -b) 7.679E-01 mm
 * +c) 8.831E-01 mm
 * -d) 1.016E+00 mm
 * -e) 1.168E+00 mm

222) Three small charged objects are placed as shown, where $$b=2a$$, and $$a=4\times 10^{-7}\text{m}$$.what angle does the force on $$q_2$$ make above the $$-x$$ axis if $$q_1=3e$$, $$q_2=-9e$$, and $$q_3=6e$$?


 * -a) 5.767E+01 degrees
 * +b) 6.343E+01 degrees
 * -c) 6.978E+01 degrees
 * -d) 7.676E+01 degrees
 * -e) 8.443E+01 degrees

223) Which lens has the shorter focal length?
 * +a) Ray_drawing_eye_schematic.svg
 * -b) Ray drawing eye schematic01.svg
 * -c) They have the same focal lengh.

224) Two sources of emf &epsilon;1=57.0 V, and  &epsilon;2=18.1 V are oriented as shownin the circuit. The resistances are R1=4.95 k&Omega; and  R2=2.09 k&Omega;.  Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown.  I3=4.23 mA and I4=1.04 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?


 * -a) 1.921E+01 V
 * +b) 2.114E+01 V
 * -c) 2.325E+01 V
 * -d) 2.557E+01 V
 * -e) 2.813E+01 V

225) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * +a) $$\varepsilon_0 E=   \rho z $$
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * -c) $$\varepsilon_0 E=  H\rho $$
 * -d) none of these are correct
 * -e) $$\varepsilon_0 E = H\rho /2$$

226) Two resistors are in parallel with a voltage source. How do their voltages compare?
 * -a) The voltage across both resistors is half the voltage of the source.
 * -b) None of these are true.
 * +c) The voltage across both resistors is the same as the source.
 * -d) One has full voltage, the other has none.

227) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 &Omega; resistors and one 12.8 &Omega; resistor. What is the voltage drop across the 12.8 &Omega; resistor?


 * +a) 2.467E+00 V
 * -b) 2.714E+00 V
 * -c) 2.985E+00 V
 * -d) 3.283E+00 V
 * -e) 3.612E+00 V

228) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?
 * -a) None of these are true
 * +b) 25 Joules
 * -c) 3 Joules
 * -d) 5 Joules

229) A wire carries a current of 338 A in a circular arc with radius 2.62 cm swept through 79 degrees. Assuming that the rest of the current is 100% shielded by  mu-metal, what is the magnetic field at the center of the arc?


 * -a) 4.387E+00 Tesla
 * -b) 4.826E+00 Tesla
 * -c) 5.309E+00 Tesla
 * +d) 5.839E+00 Tesla
 * -e) 6.423E+00 Tesla

230) A line of charge density &lambda; situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 4
 * -b) s&minus;8
 * +c) 8&minus;s
 * -d) 4&minus;s
 * -e) s&minus;4

231) What is the current through R1, R2, R3, and R4 in the figure shown?
 * +a) $$I_1 = 1A$$; $$I_2 = 0.5A$$; $$I_3 = 0.33A$$; $$I_4 = 0.25A$$.
 * -b) $$I_1 = 0.25A$$; $$I_2 = 0.33A$$; $$I_3 = 0.5A$$; $$I_4 = 0.1A$$.
 * -c) $$I_1 = 1A$$; $$I_2 = 5A$$; $$I_3 = 3.3A$$; $$I_4 = 2.5A$$.
 * -d) $$I_1 = 10A$$; $$I_2 = 50A$$; $$I_3 = 33A$$; $$I_4 = 25A$$..

232) A parallel plate capacitor with a capicatnce C=8.20E-06 F whose plates have an area A=6.20E+03 m2 and separation d=6.70E-03 m is connected via a swith to a 75 &Omega; resistor and a battery of voltage V0=17 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=6.50E-04?


 * -a) 1.505E+03 V/m
 * +b) 1.656E+03 V/m
 * -c) 1.821E+03 V/m
 * -d) 2.003E+03 V/m
 * -e) 2.204E+03 V/m

233) A given battery has a 14 V emf and an internal resistance of 0.198 &Omega;. If it is connected to a 0.534 &Omega; resistor what is the power dissipated by that load?


 * -a) 1.776E+02 W
 * +b) 1.953E+02 W
 * -c) 2.149E+02 W
 * -d) 2.364E+02 W
 * -e) 2.600E+02 W

234) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * -a) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * -b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * -c) none of these are correct
 * +d) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * -e) $$ r^2\varepsilon_0 E=r^3\rho /2$$

235) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?


 * -a) 2.3 x 105 volts
 * +b) 3.4 x 105 volts
 * -c) 5.1 x 105 volts
 * -d) 7.7 x 105 volts
 * -e) 1.2 x 106 volts

236) An ideal 3.6 V voltage source is connected to two resistors in parallel.  One is 2.2$$k\Omega$$, and the other is 4.2 $$k\Omega$$.  What is the current through the larger resistor?


 * -a) 0.43 mA.
 * -b) 0.49 mA.
 * +c) 0.56 mA.
 * -d) 0.65 mA.
 * -e) 0.74 mA.

237) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters, each oriented 45&deg; to the  previous, as shown.  What fraction of the power incident on the first filter emerges from the last?
 * -a) 3/32
 * -b) 3/16
 * -c) 1/16
 * +d) 1/8
 * -e) 1/32

238) Calculate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.
 * -a) 3/4
 * -b) 5/6
 * -c) 2/4=1/2
 * -d) 2/5
 * +e) 3/5

239) Your solitaire deck uses &spades; &clubs; and your answer cards are 4 and 5. You select 4&spades;, 5&clubs;, and 5.  If the questions were Q&spades; and Q&clubs;, you would__
 * -a) lose 3 points
 * -b) lose 1 point
 * +c) win 1 point
 * -d) be disqualified for cheating
 * -e) win 3 points

240) If the wavelength &lambda; associated with a photon is cut in half, the photon's energy E
 * -a) is cut in half
 * +b) becomes twice as big
 * -c) stays the same
 * -d) is reduced by a factor of 4
 * -e) becomes 4 times as big

241) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60&deg; to the incoming axis of polarization.  How much power is passed by the filter?
 * -a) 6mW
 * -b) 8mW
 * +c) 3mW
 * -d) 4mW
 * -e) 9mW

242) An loop of wire with 80 turns has a radius of 0.52 meters, and is oriented with its axis parallel to a magetic field of 0.15 Tesla. What is the induced voltage if this field is reduced to  19% of its original value in 3.6 seconds?


 * -a) 1.06 x 100 volts
 * -b) 1.29 x 100 volts
 * -c) 1.56 x 100 volts
 * -d) 1.89 x 100 volts
 * +e) 2.29 x 100 volts

243) Two loops of wire carry the same current of 64 kA, and flow in the same direction. They share a common axis and orientation.  One loop has a radius of 0.838 m while the other has a radius of 1.17 m.  What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.528 m from the first (smaller) loopif the disance between the loops is 1.62 m?


 * -a) 3.863E-02 T
 * +b) 4.249E-02 T
 * -c) 4.674E-02 T
 * -d) 5.141E-02 T
 * -e) 5.655E-02 T

244) When light passes from glass to air
 * -a) the frequency increases
 * -b) it bends towards the normal
 * +c) it bends away from the normal
 * -d) the frequency decreases
 * -e) it does not bend

245) If $$H=B/\mu_0$$, where $$B$$ is magnetic field, what is $$H_y$$ at the point (7.8338,2.4233) if a current of 7.2A flows through a wire that runs along the z axis?


 * -a) 1.01E-01 A/m
 * -b) 1.11E-01 A/m
 * -c) 1.22E-01 A/m
 * +d) 1.34E-01 A/m
 * -e) 1.46E-01 A/m

246) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?


 * -a) 6.534E+01 N/C
 * -b) 7.187E+01 N/C
 * +c) 7.906E+01 N/C
 * -d) 8.696E+01 N/C
 * -e) 9.566E+01 N/C

247) A battery has an emf of 5.5 volts, and an internal resistance of 296 $$k\Omega$$. It is connected to a 3.3 $$M\Omega$$ resistor.  What power is developed in the 3.3  $$M\Omega$$ resistor?


 * +a) 7.72 $$\mu$$W.
 * -b) 8.88 $$\mu$$W.
 * -c) 10.21 $$\mu$$W.
 * -d) 11.74 $$\mu$$W.
 * -e) 13.5 $$\mu$$W.

248) The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I1 and I3 flow out of the page, and I2 flows into the page, as shown. Two closed paths are shown, labeled $$\beta$$ and $$\omega$$. If  I1=2.5 kA, I2=1.28 kA, and I3=3.4 kA, take the $$\omega$$ path and evalulate the line integral,    $$\oint\vec B\cdot d\vec\ell$$:


 * -a) 4.362E-03 T-m
 * -b) 4.798E-03 T-m
 * -c) 5.278E-03 T-m
 * +d) 5.806E-03 T-m
 * -e) 6.386E-03 T-m

249) A line of charge density &lambda; situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)? $$Answer$$ (assuming $$\mathcal B > \mathcal A$$) $$ is: \frac{1}{4\pi\epsilon_0}\int_\mathcal A^\mathcal B\frac{ \mathcal C\;\lambda ds}{\left[\mathcal D^2+\mathcal E^2\right]^\mathcal F\;}$$, where $$\mathcal C=$$:
 * -a) 2 &minus; s
 * -b) s &minus; 9
 * +c) 9 &minus; s
 * -d) 2
 * -e) s &minus; 2

250) An alpha-particle (q=3.2x10&minus;19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the  x-component of the force on the alpha-particle if it is moving with a velocity (2.85 i + 1.28 j  + 8.49 k) x 104 m/s?


 * -a) 2.222E-14 N
 * -b) 2.444E-14 N
 * -c) 2.688E-14 N
 * +d) 2.957E-14 N
 * -e) 3.253E-14 N

251) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
 * -a) 1/4
 * -b) 1/2
 * +c) 1
 * -d) 3/4
 * -e) 5/4
 * -f) 0

252) A photon is polarized at 5&deg; when it encounters a filter oriented at 35&deg;. What is the probability that it passes?
 * +a) 3/4
 * -b) 0
 * -c) 1
 * -d) 1/4
 * -e) 1/2

253) The silver ribbon shown are a=3.96 cm, b=3.35 cm, and c= 1.07 cm. The current carries a current of 295 A and it lies in a uniform magnetic field of 3.4 T.  Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.


 * -a) 9.015E-06 V
 * +b) 9.916E-06 V
 * -c) 1.091E-05 V
 * -d) 1.200E-05 V
 * -e) 1.320E-05 V

254) The output of an ac generator connected to an RLC series combination has a frequency of 410 Hz and an amplitude of 0.82 V;. If R =7 &Omega;, L= 9.70E-03H, and C=9.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?


 * -a) 1.176E+00 &rad;
 * +b) 1.293E+00 &rad;
 * -c) 1.422E+00 &rad;
 * -d) 1.565E+00 &rad;
 * -e) 1.721E+00 &rad;

255) If you play the solitaire game 3 times, you will on average lose ___ times.
 * -a) 4
 * +b) 1
 * -c) 2
 * -d) 5
 * -e) 3

256) Three resistors, R1 = 1.43 &Omega;, and R2 = R2 = 3.25 &Omega;, are connected in parallel to a 9.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)


 * -a) 5.184E+01 W
 * +b) 5.702E+01 W
 * -c) 6.272E+01 W
 * -d) 6.900E+01 W
 * -e) 7.590E+01 W

257) The current through the windings of a solenoid with n= 2.060E+03 turns per meter is changing at a rate dI/dt=12 A/s. The solenoid is 68 cm long and has a cross-sectional diameter of 2.96 cm.  A small coil consisting of N=29turns wraped in a circle of diameter 1.74 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil.  What is the emf induced in the coil?


 * -a) 1.463E-04 V
 * -b) 1.609E-04 V
 * -c) 1.770E-04 V
 * -d) 1.947E-04 V
 * +e) 2.142E-04 V

258) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at  (x,y) =( 6a, 5a) is &beta;kQ/a2, where &beta; equals


 * +a) 1.61 x 10-3 unit
 * -b) 1.95 x 10-3 unit
 * -c) 2.36 x 10-3 unit
 * -d) 2.86 x 10-3 unit
 * -e) 3.46 x 10-3 unit

259) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * -a) none of these are correct
 * -b) $$2R\varepsilon_0 E=  r^2\rho $$
 * -c) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * +d) $$2\varepsilon_0 E = r\rho $$
 * -e) $$2r\varepsilon_0 E = R^2\rho $$

260) Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates
 * -a) how a farsighted person might see an object that is too close for comfort
 * -b) how a nearsighted person might see an object that is too close for comfort
 * +c) how a nearsighted person might see a distant object
 * -d) how a farsighted person might see a distant object

261) Two 9.4 ohm resistors are connected in parallel.  This combination is then connected in series to a 2.4 ohm resistor.  What is the net resistance?


 * -a) 5.4 ohms.
 * -b) 6.2 ohms.
 * +c) 7.1 ohms.
 * -d) 8.2 ohms.
 * -e) 9.4 ohms.