Quizbank/calcPhyEMqAll/c07

calcPhyEMqAll/c07 ID153478379917

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Exams:  A0  A1  A2   B0  B1  B2   C0  C1  C2   D0  D1  D2   E0  E1  E2   F0  F1  F2   G0  G1  G2   H0  H1  H2   I0  I1  I2   J0  J1  J2   K0  K1  K2   L0  L1  L2   M0  M1  M2   N0  N1  N2   O0  O1  O2   P0  P1  P2   Q0  Q1  Q2   R0  R1  R2   S0  S1  S2   T0  T1  T2   U0  U1  U2   V0  V1  V2   W0  W1  W2   X0  X1  X2   Y0  Y1  Y2   Z0  Z1  Z2

Answers:  A0  A1  A2   B0  B1  B2   C0  C1  C2   D0  D1  D2   E0  E1  E2   F0  F1  F2   G0  G1  G2   H0  H1  H2   I0  I1  I2   J0  J1  J2   K0  K1  K2   L0  L1  L2   M0  M1  M2   N0  N1  N2   O0  O1  O2   P0  P1  P2   Q0  Q1  Q2   R0  R1  R2   S0  S1  S2   T0  T1  T2   U0  U1  U2   V0  V1  V2   W0  W1  W2   X0  X1  X2   Y0  Y1  Y2   Z0  Z1  Z2

78 Tests = 3 versions x 26 variations: Each of the 26 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    file:QB-calcPhyEMqAll-c07.pdf

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c07 A0
1) A 9 C charge is separated from a 16 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * a) 4.853E-06 J
 * b) 5.339E-06 J
 * c) 5.872E-06 J
 * d) 6.460E-06 J
 * e) 7.106E-06 J

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=6 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.819E+01 J
 * b) 4.201E+01 J
 * c) 4.621E+01 J
 * d) 5.083E+01 J
 * e) 5.591E+01 J

3) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?


 * a) 3.570E+05 J
 * b) 3.927E+05 J
 * c) 4.320E+05 J
 * d) 4.752E+05 J
 * e) 5.227E+05 J

4) When a 3.63 V battery operates a 1.34 W bulb, how many electrons pass through it each second?


 * a) 2.095E+18 electrons
 * b) 2.304E+18 electrons
 * c) 2.534E+18 electrons
 * d) 2.788E+18 electrons
 * e) 3.067E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * a) 3.031E+06 m/s
 * b) 3.335E+06 m/s
 * c) 3.668E+06 m/s
 * d) 4.035E+06 m/s
 * e) 4.438E+06 m/s

6) An electron gun has parallel plates separated by 4.85 cm and gives electrons 36 keV of energy. What force would the field between the plates exert on a 0.663 &mu;C charge that gets between the plates?


 * a) 3.697E-01 N
 * b) 4.067E-01 N
 * c) 4.474E-01 N
 * d) 4.921E-01 N
 * e) 5.413E-01 N

7) 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  (8 cm, 0&deg;) and  P2 is at (14 cm, 34&deg;).


 * a) 2.626E+02 V
 * b) 2.889E+02 V
 * c) 3.178E+02 V
 * d) 3.496E+02 V
 * e) 3.845E+02 V

8) 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

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 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=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * a) 5.645E+02 V
 * b) 6.210E+02 V
 * c) 6.831E+02 V
 * d) 7.514E+02 V
 * e) 8.266E+02 V

10) If a 13 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=84 V is x2 + y2 + z2 = R2, where R=


 * a) 1.391E+00 m
 * b) 1.530E+00 m
 * c) 1.683E+00 m
 * d) 1.851E+00 m
 * e) 2.036E+00 m

11) 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

c07 A1
1) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * a) 1.749E+18 electrons
 * b) 1.924E+18 electrons
 * c) 2.117E+18 electrons
 * d) 2.328E+18 electrons
 * e) 2.561E+18 electrons

2) A 5 C charge is separated from a 9 C charge by distance of 14 cm.  What is the work done by increasing this separation to 18 cm?


 * a) 4.385E-07 J
 * b) 4.823E-07 J
 * c) 5.306E-07 J
 * d) 5.836E-07 J
 * e) 6.420E-07 J

3) 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

4) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * a) 3.617E+06 m/s
 * b) 3.979E+06 m/s
 * c) 4.376E+06 m/s
 * d) 4.814E+06 m/s
 * e) 5.296E+06 m/s

5) 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=5 &mu;C, q3=6 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 2.617E+01 J
 * b) 2.879E+01 J
 * c) 3.167E+01 J
 * d) 3.484E+01 J
 * e) 3.832E+01 J

6) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?


 * a) 4.200E+05 J
 * b) 4.620E+05 J
 * c) 5.082E+05 J
 * d) 5.590E+05 J
 * e) 6.149E+05 J

7) Two large parallel conducting plates are separated by 7.83 mm. Equal and opposite surface charges of 7.530E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 86 V?


 * a) 8.793E-01 mm
 * b) 1.011E+00 mm
 * c) 1.163E+00 mm
 * d) 1.337E+00 mm
 * e) 1.538E+00 mm

8) If a 18 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=12 V is x2 + y2 + z2 = R2, where R=


 * a) 1.114E+01 m
 * b) 1.226E+01 m
 * c) 1.348E+01 m
 * d) 1.483E+01 m
 * e) 1.631E+01 m

9) Assume that a 26 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, 42&deg;).


 * a) 7.263E+02 V
 * b) 7.989E+02 V
 * c) 8.788E+02 V
 * d) 9.667E+02 V
 * e) 1.063E+03 V

10) A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What  is the excess charge on the sphere?


 * a) 9.129E+00 &mu;C
 * b) 1.004E+01 &mu;C
 * c) 1.105E+01 &mu;C
 * d) 1.215E+01 &mu;C
 * e) 1.337E+01 &mu;C

11) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 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=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * a) 5.645E+02 V
 * b) 6.210E+02 V
 * c) 6.831E+02 V
 * d) 7.514E+02 V
 * e) 8.266E+02 V

c07 A2
1) 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

2) 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

3) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=10 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 1.194E+02 J
 * b) 1.314E+02 J
 * c) 1.445E+02 J
 * d) 1.589E+02 J
 * e) 1.748E+02 J

4) 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

5) When a 6.03 V battery operates a 1.56 W bulb, how many electrons pass through it each second?


 * a) 1.615E+18 electrons
 * b) 1.776E+18 electrons
 * c) 1.954E+18 electrons
 * d) 2.149E+18 electrons
 * e) 2.364E+18 electrons

6) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?


 * a) 9.521E-01 mm
 * b) 1.095E+00 mm
 * c) 1.259E+00 mm
 * d) 1.448E+00 mm
 * e) 1.665E+00 mm

7) If a 18 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=12 V is x2 + y2 + z2 = R2, where R=


 * a) 1.114E+01 m
 * b) 1.226E+01 m
 * c) 1.348E+01 m
 * d) 1.483E+01 m
 * e) 1.631E+01 m

8) 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

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * a) 3.031E+06 m/s
 * b) 3.335E+06 m/s
 * c) 3.668E+06 m/s
 * d) 4.035E+06 m/s
 * e) 4.438E+06 m/s

10) 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

11) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 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=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * a) 5.134E+02 V
 * b) 5.648E+02 V
 * c) 6.212E+02 V
 * d) 6.834E+02 V
 * e) 7.517E+02 V

c07 B0
1) 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

2) 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

3) 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

4) When a 3.63 V battery operates a 1.34 W bulb, how many electrons pass through it each second?


 * a) 2.095E+18 electrons
 * b) 2.304E+18 electrons
 * c) 2.534E+18 electrons
 * d) 2.788E+18 electrons
 * e) 3.067E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * a) 3.031E+06 m/s
 * b) 3.335E+06 m/s
 * c) 3.668E+06 m/s
 * d) 4.035E+06 m/s
 * e) 4.438E+06 m/s

6) An electron gun has parallel plates separated by 2.36 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.45 &mu;C charge that gets between the plates?


 * a) 7.033E-01 N
 * b) 7.736E-01 N
 * c) 8.510E-01 N
 * d) 9.361E-01 N
 * e) 1.030E+00 N

7) 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  (9 cm, 0&deg;) and  P2 is at (12 cm, 15&deg;).


 * a) 4.244E+02 V
 * b) 4.669E+02 V
 * c) 5.135E+02 V
 * d) 5.649E+02 V
 * e) 6.214E+02 V

8) A Van de Graff generator has a 114 cm diameter metal sphere that produces 275 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.744E+01 &mu;C
 * b) 1.918E+01 &mu;C
 * c) 2.110E+01 &mu;C
 * d) 2.321E+01 &mu;C
 * e) 2.554E+01 &mu;C

9) 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

10) If a 29 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=81 V is x2 + y2 + z2 = R2, where R=


 * a) 3.218E+00 m
 * b) 3.540E+00 m
 * c) 3.893E+00 m
 * d) 4.283E+00 m
 * e) 4.711E+00 m

11) 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

c07 B1
1) 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

2) Two large parallel conducting plates are separated by 6.86 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 79 V?


 * a) 6.100E-01 mm
 * b) 7.015E-01 mm
 * c) 8.067E-01 mm
 * d) 9.277E-01 mm
 * e) 1.067E+00 mm

3) 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

4) 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

5) A 7 C charge is separated from a 11 C charge by distance of 11 cm.  What is the work done by increasing this separation to 19 cm?


 * a) 2.408E-06 J
 * b) 2.649E-06 J
 * c) 2.914E-06 J
 * d) 3.205E-06 J
 * e) 3.526E-06 J

6) When a 4.91 V battery operates a 1.43 W bulb, how many electrons pass through it each second?


 * a) 1.242E+18 electrons
 * b) 1.366E+18 electrons
 * c) 1.502E+18 electrons
 * d) 1.653E+18 electrons
 * e) 1.818E+18 electrons

7) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * a) 3.288E+06 m/s
 * b) 3.617E+06 m/s
 * c) 3.979E+06 m/s
 * d) 4.376E+06 m/s
 * e) 4.814E+06 m/s

8) 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

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 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=3.51 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) 5.261E+02 V
 * b) 5.787E+02 V
 * c) 6.365E+02 V
 * d) 7.002E+02 V
 * e) 7.702E+02 V

10) A 12.0 V battery can move 12,000 C of charge. How many Joules does it deliver?


 * a) 1.190E+05 J
 * b) 1.309E+05 J
 * c) 1.440E+05 J
 * d) 1.584E+05 J
 * e) 1.742E+05 J

11) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 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) 1.241E+02 J
 * b) 1.365E+02 J
 * c) 1.501E+02 J
 * d) 1.652E+02 J
 * e) 1.817E+02 J

c07 B2
1) 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=5 &mu;C, q3=6 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 2.617E+01 J
 * b) 2.879E+01 J
 * c) 3.167E+01 J
 * d) 3.484E+01 J
 * e) 3.832E+01 J

2) 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

3) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?


 * a) 1.967E+05 J
 * b) 2.164E+05 J
 * c) 2.380E+05 J
 * d) 2.618E+05 J
 * e) 2.880E+05 J

4) Calculate the final speed of a free electron accelerated from rest through a potential difference of 30 V.


 * a) 2.441E+06 m/s
 * b) 2.685E+06 m/s
 * c) 2.953E+06 m/s
 * d) 3.249E+06 m/s
 * e) 3.573E+06 m/s

5) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * a) 5.431E-01 mm
 * b) 6.245E-01 mm
 * c) 7.182E-01 mm
 * d) 8.260E-01 mm
 * e) 9.499E-01 mm

6) 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

7) 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

8) When a 3.63 V battery operates a 1.34 W bulb, how many electrons pass through it each second?


 * a) 2.095E+18 electrons
 * b) 2.304E+18 electrons
 * c) 2.534E+18 electrons
 * d) 2.788E+18 electrons
 * e) 3.067E+18 electrons

9) A Van de Graff generator has a 105 cm diameter metal sphere that produces 210 kV near its surface. What  is the excess charge on the sphere?


 * a) 9.216E+00 &mu;C
 * b) 1.014E+01 &mu;C
 * c) 1.115E+01 &mu;C
 * d) 1.227E+01 &mu;C
 * e) 1.349E+01 &mu;C

10) 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

11) 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

c07 C0
1) A 7 C charge is separated from a 12 C charge by distance of 11 cm.  What is the work done by increasing this separation to 19 cm?


 * a) 2.890E-06 J
 * b) 3.179E-06 J
 * c) 3.497E-06 J
 * d) 3.846E-06 J
 * e) 4.231E-06 J

2) 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=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) 6.598E+01 J
 * b) 7.258E+01 J
 * c) 7.983E+01 J
 * d) 8.782E+01 J
 * e) 9.660E+01 J

3) A 12.0 V battery can move 30,000 C of charge. How many Joules does it deliver?


 * a) 3.273E+05 J
 * b) 3.600E+05 J
 * c) 3.960E+05 J
 * d) 4.356E+05 J
 * e) 4.792E+05 J

4) 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

5) 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

6) 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

7) Assume that a 29 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 (12 cm, 77&deg;).


 * a) 1.483E+03 V
 * b) 1.632E+03 V
 * c) 1.795E+03 V
 * d) 1.975E+03 V
 * e) 2.172E+03 V

8) 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

9) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 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=3.86 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) 6.325E+02 V
 * b) 6.957E+02 V
 * c) 7.653E+02 V
 * d) 8.418E+02 V
 * e) 9.260E+02 V

10) 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

11) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?


 * a) 9.521E-01 mm
 * b) 1.095E+00 mm
 * c) 1.259E+00 mm
 * d) 1.448E+00 mm
 * e) 1.665E+00 mm

c07 C1
1) Two large parallel conducting plates are separated by 8.7 mm. Equal and opposite surface charges of 7.220E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 67 V?


 * a) 4.698E-01 mm
 * b) 5.402E-01 mm
 * c) 6.213E-01 mm
 * d) 7.145E-01 mm
 * e) 8.216E-01 mm

2) A 12.0 V battery can move 12,000 C of charge. How many Joules does it deliver?


 * a) 1.190E+05 J
 * b) 1.309E+05 J
 * c) 1.440E+05 J
 * d) 1.584E+05 J
 * e) 1.742E+05 J

3) A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 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=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.


 * a) 4.590E+02 V
 * b) 5.049E+02 V
 * c) 5.554E+02 V
 * d) 6.109E+02 V
 * e) 6.720E+02 V

4) An electron gun has parallel plates separated by 4.36 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.816 &mu;C charge that gets between the plates?


 * a) 2.212E-01 N
 * b) 2.433E-01 N
 * c) 2.676E-01 N
 * d) 2.944E-01 N
 * e) 3.238E-01 N

5) 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

6) 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

7) A Van de Graff generator has a 107 cm diameter metal sphere that produces 219 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.304E+01 &mu;C
 * b) 1.434E+01 &mu;C
 * c) 1.577E+01 &mu;C
 * d) 1.735E+01 &mu;C
 * e) 1.909E+01 &mu;C

8) Assume that a 16 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 (14 cm, 27&deg;).


 * a) 9.354E+02 V
 * b) 1.029E+03 V
 * c) 1.132E+03 V
 * d) 1.245E+03 V
 * e) 1.370E+03 V

9) When a 2.76 V battery operates a 2.71 W bulb, how many electrons pass through it each second?


 * a) 5.571E+18 electrons
 * b) 6.128E+18 electrons
 * c) 6.741E+18 electrons
 * d) 7.415E+18 electrons
 * e) 8.157E+18 electrons

10) If a 13 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=84 V is x2 + y2 + z2 = R2, where R=


 * a) 1.391E+00 m
 * b) 1.530E+00 m
 * c) 1.683E+00 m
 * d) 1.851E+00 m
 * e) 2.036E+00 m

11) A 2 C charge is separated from a 6 C charge by distance of 13 cm.  What is the work done by increasing this separation to 16 cm?


 * a) 1.556E-07 J
 * b) 1.711E-07 J
 * c) 1.882E-07 J
 * d) 2.070E-07 J
 * e) 2.277E-07 J

c07 C2
1) 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

2) A diploe has a charge magnitude of q=4 nC and a separation distance of d=3.79 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=3.2 cm, y=1.9 cm)? Note that following the textbook's example, the y-value of the field point at 1.9 cm matches the disance of the positive charge above the x-axis.


 * a) 2.731E+02 V
 * b) 3.004E+02 V
 * c) 3.304E+02 V
 * d) 3.634E+02 V
 * e) 3.998E+02 V

3) 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

4) 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

5) Assume that a 25 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 (13 cm, 70&deg;).


 * a) 2.285E+03 V
 * b) 2.514E+03 V
 * c) 2.765E+03 V
 * d) 3.042E+03 V
 * e) 3.346E+03 V

6) Two large parallel conducting plates are separated by 6.86 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 79 V?


 * a) 6.100E-01 mm
 * b) 7.015E-01 mm
 * c) 8.067E-01 mm
 * d) 9.277E-01 mm
 * e) 1.067E+00 mm

7) 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

8) A Van de Graff generator has a 124 cm diameter metal sphere that produces 270 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.539E+01 &mu;C
 * b) 1.693E+01 &mu;C
 * c) 1.863E+01 &mu;C
 * d) 2.049E+01 &mu;C
 * e) 2.254E+01 &mu;C

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 46 V.


 * a) 3.022E+06 m/s
 * b) 3.324E+06 m/s
 * c) 3.657E+06 m/s
 * d) 4.023E+06 m/s
 * e) 4.425E+06 m/s

10) 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

11) 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

c07 D0
1) 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

2) 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

3) A 12.0 V battery can move 30,000 C of charge. How many Joules does it deliver?


 * a) 3.273E+05 J
 * b) 3.600E+05 J
 * c) 3.960E+05 J
 * d) 4.356E+05 J
 * e) 4.792E+05 J

4) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?


 * a) 2.659E+18 electrons
 * b) 2.925E+18 electrons
 * c) 3.217E+18 electrons
 * d) 3.539E+18 electrons
 * e) 3.893E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 69 V.


 * a) 3.365E+06 m/s
 * b) 3.701E+06 m/s
 * c) 4.072E+06 m/s
 * d) 4.479E+06 m/s
 * e) 4.927E+06 m/s

6) An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 &mu;C charge that gets between the plates?


 * a) 8.206E-01 N
 * b) 9.027E-01 N
 * c) 9.930E-01 N
 * d) 1.092E+00 N
 * e) 1.201E+00 N

7) 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

8) A Van de Graff generator has a 72 cm diameter metal sphere that produces 285 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.038E+01 &mu;C
 * b) 1.142E+01 &mu;C
 * c) 1.256E+01 &mu;C
 * d) 1.381E+01 &mu;C
 * e) 1.519E+01 &mu;C

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 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=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * a) 5.645E+02 V
 * b) 6.210E+02 V
 * c) 6.831E+02 V
 * d) 7.514E+02 V
 * e) 8.266E+02 V

10) 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

11) Two large parallel conducting plates are separated by 7.83 mm. Equal and opposite surface charges of 7.530E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 86 V?


 * a) 8.793E-01 mm
 * b) 1.011E+00 mm
 * c) 1.163E+00 mm
 * d) 1.337E+00 mm
 * e) 1.538E+00 mm

c07 D1
1) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x2 + y2 + z2 = R2, where R=


 * a) 1.422E+00 m
 * b) 1.564E+00 m
 * c) 1.720E+00 m
 * d) 1.892E+00 m
 * e) 2.081E+00 m

2) When a 6.24 V battery operates a 2.1 W bulb, how many electrons pass through it each second?


 * a) 1.435E+18 electrons
 * b) 1.578E+18 electrons
 * c) 1.736E+18 electrons
 * d) 1.910E+18 electrons
 * e) 2.101E+18 electrons

3) A 12.0 V battery can move 27,000 C of charge. How many Joules does it deliver?


 * a) 2.213E+05 J
 * b) 2.434E+05 J
 * c) 2.678E+05 J
 * d) 2.945E+05 J
 * e) 3.240E+05 J

4) 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  (9 cm, 0&deg;) and  P2 is at (12 cm, 15&deg;).


 * a) 4.244E+02 V
 * b) 4.669E+02 V
 * c) 5.135E+02 V
 * d) 5.649E+02 V
 * e) 6.214E+02 V

5) A 4 C charge is separated from a 9 C charge by distance of 9 cm.  What is the work done by increasing this separation to 14 cm?


 * a) 8.769E-07 J
 * b) 9.646E-07 J
 * c) 1.061E-06 J
 * d) 1.167E-06 J
 * e) 1.284E-06 J

6) 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

7) An electron gun has parallel plates separated by 2.36 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.45 &mu;C charge that gets between the plates?


 * a) 7.033E-01 N
 * b) 7.736E-01 N
 * c) 8.510E-01 N
 * d) 9.361E-01 N
 * e) 1.030E+00 N

8) A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.500E+01 &mu;C
 * b) 1.650E+01 &mu;C
 * c) 1.815E+01 &mu;C
 * d) 1.997E+01 &mu;C
 * e) 2.196E+01 &mu;C

9) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * a) 5.431E-01 mm
 * b) 6.245E-01 mm
 * c) 7.182E-01 mm
 * d) 8.260E-01 mm
 * e) 9.499E-01 mm

10) 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

11) 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

c07 D2
1) Two large parallel conducting plates are separated by 7.83 mm. Equal and opposite surface charges of 7.530E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 86 V?


 * a) 8.793E-01 mm
 * b) 1.011E+00 mm
 * c) 1.163E+00 mm
 * d) 1.337E+00 mm
 * e) 1.538E+00 mm

2) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?


 * a) 1.967E+05 J
 * b) 2.164E+05 J
 * c) 2.380E+05 J
 * d) 2.618E+05 J
 * e) 2.880E+05 J

3) 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

4) A Van de Graff generator has a 119 cm diameter metal sphere that produces 248 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.234E+01 &mu;C
 * b) 1.357E+01 &mu;C
 * c) 1.493E+01 &mu;C
 * d) 1.642E+01 &mu;C
 * e) 1.806E+01 &mu;C

5) A 8 C charge is separated from a 13 C charge by distance of 7 cm.  What is the work done by increasing this separation to 13 cm?


 * a) 4.209E-06 J
 * b) 4.630E-06 J
 * c) 5.093E-06 J
 * d) 5.603E-06 J
 * e) 6.163E-06 J

6) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * a) 1.749E+18 electrons
 * b) 1.924E+18 electrons
 * c) 2.117E+18 electrons
 * d) 2.328E+18 electrons
 * e) 2.561E+18 electrons

7) Assume that a 29 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 (12 cm, 77&deg;).


 * a) 1.483E+03 V
 * b) 1.632E+03 V
 * c) 1.795E+03 V
 * d) 1.975E+03 V
 * e) 2.172E+03 V

8) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=6 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.819E+01 J
 * b) 4.201E+01 J
 * c) 4.621E+01 J
 * d) 5.083E+01 J
 * e) 5.591E+01 J

9) If a 13 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=84 V is x2 + y2 + z2 = R2, where R=


 * a) 1.391E+00 m
 * b) 1.530E+00 m
 * c) 1.683E+00 m
 * d) 1.851E+00 m
 * e) 2.036E+00 m

10) 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

11) 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

c07 E0
1) 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

2) 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=5 &mu;C, q3=6 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 2.617E+01 J
 * b) 2.879E+01 J
 * c) 3.167E+01 J
 * d) 3.484E+01 J
 * e) 3.832E+01 J

3) A 12.0 V battery can move 12,000 C of charge. How many Joules does it deliver?


 * a) 1.190E+05 J
 * b) 1.309E+05 J
 * c) 1.440E+05 J
 * d) 1.584E+05 J
 * e) 1.742E+05 J

4) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?


 * a) 2.659E+18 electrons
 * b) 2.925E+18 electrons
 * c) 3.217E+18 electrons
 * d) 3.539E+18 electrons
 * e) 3.893E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.


 * a) 1.942E+06 m/s
 * b) 2.137E+06 m/s
 * c) 2.350E+06 m/s
 * d) 2.585E+06 m/s
 * e) 2.844E+06 m/s

6) An electron gun has parallel plates separated by 5.02 cm and gives electrons 16 keV of energy. What force would the field between the plates exert on a 0.609 &mu;C charge that gets between the plates?


 * a) 1.604E-01 N
 * b) 1.765E-01 N
 * c) 1.941E-01 N
 * d) 2.135E-01 N
 * e) 2.349E-01 N

7) 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

8) A Van de Graff generator has a 119 cm diameter metal sphere that produces 248 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.234E+01 &mu;C
 * b) 1.357E+01 &mu;C
 * c) 1.493E+01 &mu;C
 * d) 1.642E+01 &mu;C
 * e) 1.806E+01 &mu;C

9) 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

10) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x2 + y2 + z2 = R2, where R=


 * a) 1.422E+00 m
 * b) 1.564E+00 m
 * c) 1.720E+00 m
 * d) 1.892E+00 m
 * e) 2.081E+00 m

11) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?


 * a) 9.521E-01 mm
 * b) 1.095E+00 mm
 * c) 1.259E+00 mm
 * d) 1.448E+00 mm
 * e) 1.665E+00 mm

c07 E1
1) A Van de Graff generator has a 76 cm diameter metal sphere that produces 193 kV near its surface. What  is the excess charge on the sphere?


 * a) 7.418E+00 &mu;C
 * b) 8.160E+00 &mu;C
 * c) 8.976E+00 &mu;C
 * d) 9.874E+00 &mu;C
 * e) 1.086E+01 &mu;C

2) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 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=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * a) 5.134E+02 V
 * b) 5.648E+02 V
 * c) 6.212E+02 V
 * d) 6.834E+02 V
 * e) 7.517E+02 V

3) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * a) 7.397E+17 electrons
 * b) 8.137E+17 electrons
 * c) 8.951E+17 electrons
 * d) 9.846E+17 electrons
 * e) 1.083E+18 electrons

4) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?


 * a) 3.799E-01 mm
 * b) 4.368E-01 mm
 * c) 5.024E-01 mm
 * d) 5.777E-01 mm
 * e) 6.644E-01 mm

5) 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

6) 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

7) 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  (8 cm, 0&deg;) and  P2 is at (14 cm, 34&deg;).


 * a) 2.626E+02 V
 * b) 2.889E+02 V
 * c) 3.178E+02 V
 * d) 3.496E+02 V
 * e) 3.845E+02 V

8) A 3 C charge is separated from a 11 C charge by distance of 12 cm.  What is the work done by increasing this separation to 19 cm?


 * a) 8.278E-07 J
 * b) 9.106E-07 J
 * c) 1.002E-06 J
 * d) 1.102E-06 J
 * e) 1.212E-06 J

9) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=6 &mu;C, and q4=8 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 2.343E+01 J
 * b) 2.577E+01 J
 * c) 2.835E+01 J
 * d) 3.118E+01 J
 * e) 3.430E+01 J

10) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=83 V is x2 + y2 + z2 = R2, where R=


 * a) 1.378E+00 m
 * b) 1.516E+00 m
 * c) 1.668E+00 m
 * d) 1.834E+00 m
 * e) 2.018E+00 m

11) 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

c07 E2
1) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.280E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 70 V?


 * a) 8.514E-01 mm
 * b) 9.791E-01 mm
 * c) 1.126E+00 mm
 * d) 1.295E+00 mm
 * e) 1.489E+00 mm

2) 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

3) A 2 C charge is separated from a 10 C charge by distance of 8 cm.  What is the work done by increasing this separation to 14 cm?


 * a) 8.754E-07 J
 * b) 9.630E-07 J
 * c) 1.059E-06 J
 * d) 1.165E-06 J
 * e) 1.282E-06 J

4) 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

5) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=43 V is x2 + y2 + z2 = R2, where R=


 * a) 2.299E+00 m
 * b) 2.529E+00 m
 * c) 2.782E+00 m
 * d) 3.060E+00 m
 * e) 3.366E+00 m

6) 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

7) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * a) 3.617E+06 m/s
 * b) 3.979E+06 m/s
 * c) 4.376E+06 m/s
 * d) 4.814E+06 m/s
 * e) 5.296E+06 m/s

8) A 12.0 V battery can move 32,000 C of charge. How many Joules does it deliver?


 * a) 2.885E+05 J
 * b) 3.174E+05 J
 * c) 3.491E+05 J
 * d) 3.840E+05 J
 * e) 4.224E+05 J

9) When a 2.76 V battery operates a 2.71 W bulb, how many electrons pass through it each second?


 * a) 5.571E+18 electrons
 * b) 6.128E+18 electrons
 * c) 6.741E+18 electrons
 * d) 7.415E+18 electrons
 * e) 8.157E+18 electrons

10) 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

11) A diploe has a charge magnitude of q=4 nC and a separation distance of d=3.79 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=3.2 cm, y=1.9 cm)? Note that following the textbook's example, the y-value of the field point at 1.9 cm matches the disance of the positive charge above the x-axis.


 * a) 2.731E+02 V
 * b) 3.004E+02 V
 * c) 3.304E+02 V
 * d) 3.634E+02 V
 * e) 3.998E+02 V

c07 F0
1) A 9 C charge is separated from a 16 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * a) 4.853E-06 J
 * b) 5.339E-06 J
 * c) 5.872E-06 J
 * d) 6.460E-06 J
 * e) 7.106E-06 J

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.444E+01 J
 * b) 3.789E+01 J
 * c) 4.168E+01 J
 * d) 4.585E+01 J
 * e) 5.043E+01 J

3) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?


 * a) 4.200E+05 J
 * b) 4.620E+05 J
 * c) 5.082E+05 J
 * d) 5.590E+05 J
 * e) 6.149E+05 J

4) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * a) 1.749E+18 electrons
 * b) 1.924E+18 electrons
 * c) 2.117E+18 electrons
 * d) 2.328E+18 electrons
 * e) 2.561E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 83 V.


 * a) 4.466E+06 m/s
 * b) 4.912E+06 m/s
 * c) 5.403E+06 m/s
 * d) 5.944E+06 m/s
 * e) 6.538E+06 m/s

6) An electron gun has parallel plates separated by 4.24 cm and gives electrons 48 keV of energy. What force would the field between the plates exert on a 0.48 &mu;C charge that gets between the plates?


 * a) 5.434E-01 N
 * b) 5.977E-01 N
 * c) 6.575E-01 N
 * d) 7.233E-01 N
 * e) 7.956E-01 N

7) Assume that a 24 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, 27&deg;).


 * a) 5.540E+02 V
 * b) 6.095E+02 V
 * c) 6.704E+02 V
 * d) 7.374E+02 V
 * e) 8.112E+02 V

8) A Van de Graff generator has a 119 cm diameter metal sphere that produces 248 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.234E+01 &mu;C
 * b) 1.357E+01 &mu;C
 * c) 1.493E+01 &mu;C
 * d) 1.642E+01 &mu;C
 * e) 1.806E+01 &mu;C

9) A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.85 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=3.18 cm, y=1.93 cm)? Note that following the textbook's example, the y-value of the field point at 1.93 cm matches the disance of the positive charge above the x-axis.


 * a) 3.866E+02 V
 * b) 4.253E+02 V
 * c) 4.678E+02 V
 * d) 5.146E+02 V
 * e) 5.661E+02 V

10) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x2 + y2 + z2 = R2, where R=


 * a) 5.169E+00 m
 * b) 5.686E+00 m
 * c) 6.255E+00 m
 * d) 6.880E+00 m
 * e) 7.568E+00 m

11) 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

c07 F1
1) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x2 + y2 + z2 = R2, where R=


 * a) 1.422E+00 m
 * b) 1.564E+00 m
 * c) 1.720E+00 m
 * d) 1.892E+00 m
 * e) 2.081E+00 m

2) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * a) 3.031E+06 m/s
 * b) 3.335E+06 m/s
 * c) 3.668E+06 m/s
 * d) 4.035E+06 m/s
 * e) 4.438E+06 m/s

3) Assume that a 26 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, 42&deg;).


 * a) 7.263E+02 V
 * b) 7.989E+02 V
 * c) 8.788E+02 V
 * d) 9.667E+02 V
 * e) 1.063E+03 V

4) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.444E+01 J
 * b) 3.789E+01 J
 * c) 4.168E+01 J
 * d) 4.585E+01 J
 * e) 5.043E+01 J

5) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?


 * a) 3.570E+05 J
 * b) 3.927E+05 J
 * c) 4.320E+05 J
 * d) 4.752E+05 J
 * e) 5.227E+05 J

6) 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

7) 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

8) Two large parallel conducting plates are separated by 8.7 mm. Equal and opposite surface charges of 7.220E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 67 V?


 * a) 4.698E-01 mm
 * b) 5.402E-01 mm
 * c) 6.213E-01 mm
 * d) 7.145E-01 mm
 * e) 8.216E-01 mm

9) A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What  is the excess charge on the sphere?


 * a) 9.129E+00 &mu;C
 * b) 1.004E+01 &mu;C
 * c) 1.105E+01 &mu;C
 * d) 1.215E+01 &mu;C
 * e) 1.337E+01 &mu;C

10) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?


 * a) 1.838E+18 electrons
 * b) 2.022E+18 electrons
 * c) 2.224E+18 electrons
 * d) 2.446E+18 electrons
 * e) 2.691E+18 electrons

11) A 8 C charge is separated from a 12 C charge by distance of 9 cm.  What is the work done by increasing this separation to 18 cm?


 * a) 3.274E-06 J
 * b) 3.601E-06 J
 * c) 3.961E-06 J
 * d) 4.358E-06 J
 * e) 4.793E-06 J

c07 F2
1) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?


 * a) 3.570E+05 J
 * b) 3.927E+05 J
 * c) 4.320E+05 J
 * d) 4.752E+05 J
 * e) 5.227E+05 J

2) A 7 C charge is separated from a 12 C charge by distance of 11 cm.  What is the work done by increasing this separation to 19 cm?


 * a) 2.890E-06 J
 * b) 3.179E-06 J
 * c) 3.497E-06 J
 * d) 3.846E-06 J
 * e) 4.231E-06 J

3) 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

4) An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 &mu;C charge that gets between the plates?


 * a) 8.206E-01 N
 * b) 9.027E-01 N
 * c) 9.930E-01 N
 * d) 1.092E+00 N
 * e) 1.201E+00 N

5) If a 24 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=97 V is x2 + y2 + z2 = R2, where R=


 * a) 1.838E+00 m
 * b) 2.022E+00 m
 * c) 2.224E+00 m
 * d) 2.446E+00 m
 * e) 2.691E+00 m

6) 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=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) 6.598E+01 J
 * b) 7.258E+01 J
 * c) 7.983E+01 J
 * d) 8.782E+01 J
 * e) 9.660E+01 J

7) 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

8) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?


 * a) 3.799E-01 mm
 * b) 4.368E-01 mm
 * c) 5.024E-01 mm
 * d) 5.777E-01 mm
 * e) 6.644E-01 mm

9) A diploe has a charge magnitude of q=8 nC and a separation distance of d=3.55 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=3.43 cm, y=1.77 cm)? Note that following the textbook's example, the y-value of the field point at 1.77 cm matches the disance of the positive charge above the x-axis.


 * a) 5.796E+02 V
 * b) 6.375E+02 V
 * c) 7.013E+02 V
 * d) 7.714E+02 V
 * e) 8.486E+02 V

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * a) 5.102E+06 m/s
 * b) 5.612E+06 m/s
 * c) 6.173E+06 m/s
 * d) 6.791E+06 m/s
 * e) 7.470E+06 m/s

11) A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.032E+01 &mu;C
 * b) 1.135E+01 &mu;C
 * c) 1.249E+01 &mu;C
 * d) 1.374E+01 &mu;C
 * e) 1.511E+01 &mu;C

c07 G0
1) A 2 C charge is separated from a 10 C charge by distance of 8 cm.  What is the work done by increasing this separation to 14 cm?


 * a) 8.754E-07 J
 * b) 9.630E-07 J
 * c) 1.059E-06 J
 * d) 1.165E-06 J
 * e) 1.282E-06 J

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=6 &mu;C, and q4=8 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 2.343E+01 J
 * b) 2.577E+01 J
 * c) 2.835E+01 J
 * d) 3.118E+01 J
 * e) 3.430E+01 J

3) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?


 * a) 3.570E+05 J
 * b) 3.927E+05 J
 * c) 4.320E+05 J
 * d) 4.752E+05 J
 * e) 5.227E+05 J

4) When a 3.63 V battery operates a 1.34 W bulb, how many electrons pass through it each second?


 * a) 2.095E+18 electrons
 * b) 2.304E+18 electrons
 * c) 2.534E+18 electrons
 * d) 2.788E+18 electrons
 * e) 3.067E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 11 V.


 * a) 1.626E+06 m/s
 * b) 1.788E+06 m/s
 * c) 1.967E+06 m/s
 * d) 2.164E+06 m/s
 * e) 2.380E+06 m/s

6) An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 &mu;C charge that gets between the plates?


 * a) 8.206E-01 N
 * b) 9.027E-01 N
 * c) 9.930E-01 N
 * d) 1.092E+00 N
 * e) 1.201E+00 N

7) Assume that a 16 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 (14 cm, 27&deg;).


 * a) 9.354E+02 V
 * b) 1.029E+03 V
 * c) 1.132E+03 V
 * d) 1.245E+03 V
 * e) 1.370E+03 V

8) 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

9) A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.07 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=3.88 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) 2.164E+02 V
 * b) 2.381E+02 V
 * c) 2.619E+02 V
 * d) 2.880E+02 V
 * e) 3.168E+02 V

10) 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

11) 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

c07 G1
1) Assume that a 22 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 (12 cm, 53&deg;).


 * a) 5.492E+02 V
 * b) 6.042E+02 V
 * c) 6.646E+02 V
 * d) 7.310E+02 V
 * e) 8.041E+02 V

2) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * a) 5.431E-01 mm
 * b) 6.245E-01 mm
 * c) 7.182E-01 mm
 * d) 8.260E-01 mm
 * e) 9.499E-01 mm

3) 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

4) 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

5) 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

6) A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.205E+01 &mu;C
 * b) 1.326E+01 &mu;C
 * c) 1.459E+01 &mu;C
 * d) 1.604E+01 &mu;C
 * e) 1.765E+01 &mu;C

7) 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

8) A 8 C charge is separated from a 13 C charge by distance of 7 cm.  What is the work done by increasing this separation to 13 cm?


 * a) 4.209E-06 J
 * b) 4.630E-06 J
 * c) 5.093E-06 J
 * d) 5.603E-06 J
 * e) 6.163E-06 J

9) A diploe has a charge magnitude of q=8 nC and a separation distance of d=3.55 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=3.43 cm, y=1.77 cm)? Note that following the textbook's example, the y-value of the field point at 1.77 cm matches the disance of the positive charge above the x-axis.


 * a) 5.796E+02 V
 * b) 6.375E+02 V
 * c) 7.013E+02 V
 * d) 7.714E+02 V
 * e) 8.486E+02 V

10) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=7 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 2.300E+01 J
 * b) 2.530E+01 J
 * c) 2.783E+01 J
 * d) 3.061E+01 J
 * e) 3.367E+01 J

11) Calculate the final speed of a free electron accelerated from rest through a potential difference of 30 V.


 * a) 2.441E+06 m/s
 * b) 2.685E+06 m/s
 * c) 2.953E+06 m/s
 * d) 3.249E+06 m/s
 * e) 3.573E+06 m/s

c07 G2
1) 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  (9 cm, 0&deg;) and  P2 is at (12 cm, 15&deg;).


 * a) 4.244E+02 V
 * b) 4.669E+02 V
 * c) 5.135E+02 V
 * d) 5.649E+02 V
 * e) 6.214E+02 V

2) 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

3) 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

4) 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

5) Two large parallel conducting plates are separated by 6.95 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 83 V?


 * a) 6.565E-01 mm
 * b) 7.550E-01 mm
 * c) 8.683E-01 mm
 * d) 9.985E-01 mm
 * e) 1.148E+00 mm

6) An electron gun has parallel plates separated by 3.39 cm and gives electrons 57 keV of energy. What force would the field between the plates exert on a 0.218 &mu;C charge that gets between the plates?


 * a) 3.029E-01 N
 * b) 3.332E-01 N
 * c) 3.665E-01 N
 * d) 4.032E-01 N
 * e) 4.435E-01 N

7) 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

8) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=


 * a) 2.139E+00 m
 * b) 2.353E+00 m
 * c) 2.588E+00 m
 * d) 2.847E+00 m
 * e) 3.132E+00 m

9) 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

10) When a 2.59 V battery operates a 2.89 W bulb, how many electrons pass through it each second?


 * a) 5.756E+18 electrons
 * b) 6.331E+18 electrons
 * c) 6.964E+18 electrons
 * d) 7.661E+18 electrons
 * e) 8.427E+18 electrons

11) 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

c07 H0
1) A 7 C charge is separated from a 15 C charge by distance of 14 cm.  What is the work done by increasing this separation to 20 cm?


 * a) 1.519E-06 J
 * b) 1.671E-06 J
 * c) 1.838E-06 J
 * d) 2.022E-06 J
 * e) 2.224E-06 J

2) 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

3) 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

4) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * a) 1.749E+18 electrons
 * b) 1.924E+18 electrons
 * c) 2.117E+18 electrons
 * d) 2.328E+18 electrons
 * e) 2.561E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 46 V.


 * a) 3.022E+06 m/s
 * b) 3.324E+06 m/s
 * c) 3.657E+06 m/s
 * d) 4.023E+06 m/s
 * e) 4.425E+06 m/s

6) An electron gun has parallel plates separated by 4.24 cm and gives electrons 48 keV of energy. What force would the field between the plates exert on a 0.48 &mu;C charge that gets between the plates?


 * a) 5.434E-01 N
 * b) 5.977E-01 N
 * c) 6.575E-01 N
 * d) 7.233E-01 N
 * e) 7.956E-01 N

7) Assume that a 11 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 (12 cm, 14&deg;).


 * a) 1.876E+02 V
 * b) 2.063E+02 V
 * c) 2.270E+02 V
 * d) 2.497E+02 V
 * e) 2.746E+02 V

8) 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

9) A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 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=3.33 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) 4.324E+02 V
 * b) 4.757E+02 V
 * c) 5.232E+02 V
 * d) 5.755E+02 V
 * e) 6.331E+02 V

10) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x2 + y2 + z2 = R2, where R=


 * a) 1.107E+00 m
 * b) 1.218E+00 m
 * c) 1.339E+00 m
 * d) 1.473E+00 m
 * e) 1.621E+00 m

11) 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

c07 H1
1) When a 6.32 V battery operates a 1.94 W bulb, how many electrons pass through it each second?


 * a) 1.439E+18 electrons
 * b) 1.583E+18 electrons
 * c) 1.742E+18 electrons
 * d) 1.916E+18 electrons
 * e) 2.107E+18 electrons

2) 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=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) 6.598E+01 J
 * b) 7.258E+01 J
 * c) 7.983E+01 J
 * d) 8.782E+01 J
 * e) 9.660E+01 J

3) 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

4) 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

5) A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What  is the excess charge on the sphere?


 * a) 9.129E+00 &mu;C
 * b) 1.004E+01 &mu;C
 * c) 1.105E+01 &mu;C
 * d) 1.215E+01 &mu;C
 * e) 1.337E+01 &mu;C

6) Assume that a 25 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 (13 cm, 70&deg;).


 * a) 2.285E+03 V
 * b) 2.514E+03 V
 * c) 2.765E+03 V
 * d) 3.042E+03 V
 * e) 3.346E+03 V

7) 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

8) 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

9) Two large parallel conducting plates are separated by 6.67 mm. Equal and opposite surface charges of 7.080E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 60 V?


 * a) 6.525E-01 mm
 * b) 7.504E-01 mm
 * c) 8.629E-01 mm
 * d) 9.923E-01 mm
 * e) 1.141E+00 mm

10) If a 29 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=81 V is x2 + y2 + z2 = R2, where R=


 * a) 3.218E+00 m
 * b) 3.540E+00 m
 * c) 3.893E+00 m
 * d) 4.283E+00 m
 * e) 4.711E+00 m

11) An electron gun has parallel plates separated by 4.95 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.516 &mu;C charge that gets between the plates?


 * a) 1.355E-01 N
 * b) 1.491E-01 N
 * c) 1.640E-01 N
 * d) 1.804E-01 N
 * e) 1.984E-01 N

c07 H2
1) 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

2) 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  (9 cm, 0&deg;) and  P2 is at (12 cm, 15&deg;).


 * a) 4.244E+02 V
 * b) 4.669E+02 V
 * c) 5.135E+02 V
 * d) 5.649E+02 V
 * e) 6.214E+02 V

3) 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

4) A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 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=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.


 * a) 4.590E+02 V
 * b) 5.049E+02 V
 * c) 5.554E+02 V
 * d) 6.109E+02 V
 * e) 6.720E+02 V

5) If a 28 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=77 V is x2 + y2 + z2 = R2, where R=


 * a) 2.701E+00 m
 * b) 2.971E+00 m
 * c) 3.268E+00 m
 * d) 3.595E+00 m
 * e) 3.955E+00 m

6) 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

7) A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.388E+01 &mu;C
 * b) 1.527E+01 &mu;C
 * c) 1.680E+01 &mu;C
 * d) 1.848E+01 &mu;C
 * e) 2.033E+01 &mu;C

8) Two large parallel conducting plates are separated by 6.67 mm. Equal and opposite surface charges of 7.080E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 60 V?


 * a) 6.525E-01 mm
 * b) 7.504E-01 mm
 * c) 8.629E-01 mm
 * d) 9.923E-01 mm
 * e) 1.141E+00 mm

9) 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

10) 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

11) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * a) 3.031E+06 m/s
 * b) 3.335E+06 m/s
 * c) 3.668E+06 m/s
 * d) 4.035E+06 m/s
 * e) 4.438E+06 m/s

c07 I0
1) A 7 C charge is separated from a 12 C charge by distance of 11 cm.  What is the work done by increasing this separation to 19 cm?


 * a) 2.890E-06 J
 * b) 3.179E-06 J
 * c) 3.497E-06 J
 * d) 3.846E-06 J
 * e) 4.231E-06 J

2) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=10 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 1.194E+02 J
 * b) 1.314E+02 J
 * c) 1.445E+02 J
 * d) 1.589E+02 J
 * e) 1.748E+02 J

3) A 12.0 V battery can move 30,000 C of charge. How many Joules does it deliver?


 * a) 3.273E+05 J
 * b) 3.600E+05 J
 * c) 3.960E+05 J
 * d) 4.356E+05 J
 * e) 4.792E+05 J

4) 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

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 6 V.


 * a) 1.091E+06 m/s
 * b) 1.201E+06 m/s
 * c) 1.321E+06 m/s
 * d) 1.453E+06 m/s
 * e) 1.598E+06 m/s

6) An electron gun has parallel plates separated by 4.36 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.816 &mu;C charge that gets between the plates?


 * a) 2.212E-01 N
 * b) 2.433E-01 N
 * c) 2.676E-01 N
 * d) 2.944E-01 N
 * e) 3.238E-01 N

7) Assume that a 22 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 (12 cm, 53&deg;).


 * a) 5.492E+02 V
 * b) 6.042E+02 V
 * c) 6.646E+02 V
 * d) 7.310E+02 V
 * e) 8.041E+02 V

8) 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

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 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=3.51 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) 5.261E+02 V
 * b) 5.787E+02 V
 * c) 6.365E+02 V
 * d) 7.002E+02 V
 * e) 7.702E+02 V

10) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x2 + y2 + z2 = R2, where R=


 * a) 1.422E+00 m
 * b) 1.564E+00 m
 * c) 1.720E+00 m
 * d) 1.892E+00 m
 * e) 2.081E+00 m

11) 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

c07 I1
1) If a 18 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=12 V is x2 + y2 + z2 = R2, where R=


 * a) 1.114E+01 m
 * b) 1.226E+01 m
 * c) 1.348E+01 m
 * d) 1.483E+01 m
 * e) 1.631E+01 m

2) 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

3) Assume that a 26 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, 42&deg;).


 * a) 7.263E+02 V
 * b) 7.989E+02 V
 * c) 8.788E+02 V
 * d) 9.667E+02 V
 * e) 1.063E+03 V

4) Calculate the final speed of a free electron accelerated from rest through a potential difference of 46 V.


 * a) 3.022E+06 m/s
 * b) 3.324E+06 m/s
 * c) 3.657E+06 m/s
 * d) 4.023E+06 m/s
 * e) 4.425E+06 m/s

5) A 12.0 V battery can move 19,000 C of charge. How many Joules does it deliver?


 * a) 1.713E+05 J
 * b) 1.884E+05 J
 * c) 2.073E+05 J
 * d) 2.280E+05 J
 * e) 2.508E+05 J

6) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 4.235E+01 J
 * b) 4.659E+01 J
 * c) 5.125E+01 J
 * d) 5.637E+01 J
 * e) 6.201E+01 J

7) When a 3.21 V battery operates a 2.38 W bulb, how many electrons pass through it each second?


 * a) 3.161E+18 electrons
 * b) 3.477E+18 electrons
 * c) 3.825E+18 electrons
 * d) 4.207E+18 electrons
 * e) 4.628E+18 electrons

8) A 5 C charge is separated from a 9 C charge by distance of 14 cm.  What is the work done by increasing this separation to 18 cm?


 * a) 4.385E-07 J
 * b) 4.823E-07 J
 * c) 5.306E-07 J
 * d) 5.836E-07 J
 * e) 6.420E-07 J

9) 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

10) 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

11) A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 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=3.33 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) 4.324E+02 V
 * b) 4.757E+02 V
 * c) 5.232E+02 V
 * d) 5.755E+02 V
 * e) 6.331E+02 V

c07 I2
1) Assume that a 11 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 (12 cm, 14&deg;).


 * a) 1.876E+02 V
 * b) 2.063E+02 V
 * c) 2.270E+02 V
 * d) 2.497E+02 V
 * e) 2.746E+02 V

2) 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

3) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * a) 1.749E+18 electrons
 * b) 1.924E+18 electrons
 * c) 2.117E+18 electrons
 * d) 2.328E+18 electrons
 * e) 2.561E+18 electrons

4) A Van de Graff generator has a 95 cm diameter metal sphere that produces 187 kV near its surface. What  is the excess charge on the sphere?


 * a) 9.883E+00 &mu;C
 * b) 1.087E+01 &mu;C
 * c) 1.196E+01 &mu;C
 * d) 1.315E+01 &mu;C
 * e) 1.447E+01 &mu;C

5) 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

6) A 3 C charge is separated from a 11 C charge by distance of 12 cm.  What is the work done by increasing this separation to 19 cm?


 * a) 8.278E-07 J
 * b) 9.106E-07 J
 * c) 1.002E-06 J
 * d) 1.102E-06 J
 * e) 1.212E-06 J

7) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=7 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 2.300E+01 J
 * b) 2.530E+01 J
 * c) 2.783E+01 J
 * d) 3.061E+01 J
 * e) 3.367E+01 J

8) An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 &mu;C charge that gets between the plates?


 * a) 1.767E-01 N
 * b) 1.944E-01 N
 * c) 2.138E-01 N
 * d) 2.352E-01 N
 * e) 2.587E-01 N

9) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?


 * a) 3.278E+05 J
 * b) 3.606E+05 J
 * c) 3.967E+05 J
 * d) 4.364E+05 J
 * e) 4.800E+05 J

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 83 V.


 * a) 4.466E+06 m/s
 * b) 4.912E+06 m/s
 * c) 5.403E+06 m/s
 * d) 5.944E+06 m/s
 * e) 6.538E+06 m/s

11) 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

c07 J0
1) 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

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=6 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.819E+01 J
 * b) 4.201E+01 J
 * c) 4.621E+01 J
 * d) 5.083E+01 J
 * e) 5.591E+01 J

3) A 12.0 V battery can move 30,000 C of charge. How many Joules does it deliver?


 * a) 3.273E+05 J
 * b) 3.600E+05 J
 * c) 3.960E+05 J
 * d) 4.356E+05 J
 * e) 4.792E+05 J

4) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * a) 1.749E+18 electrons
 * b) 1.924E+18 electrons
 * c) 2.117E+18 electrons
 * d) 2.328E+18 electrons
 * e) 2.561E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.


 * a) 1.942E+06 m/s
 * b) 2.137E+06 m/s
 * c) 2.350E+06 m/s
 * d) 2.585E+06 m/s
 * e) 2.844E+06 m/s

6) An electron gun has parallel plates separated by 2.98 cm and gives electrons 11 keV of energy. What force would the field between the plates exert on a 0.685 &mu;C charge that gets between the plates?


 * a) 1.900E-01 N
 * b) 2.090E-01 N
 * c) 2.299E-01 N
 * d) 2.529E-01 N
 * e) 2.781E-01 N

7) Assume that a 24 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, 27&deg;).


 * a) 5.540E+02 V
 * b) 6.095E+02 V
 * c) 6.704E+02 V
 * d) 7.374E+02 V
 * e) 8.112E+02 V

8) 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

9) A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 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=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.


 * a) 4.590E+02 V
 * b) 5.049E+02 V
 * c) 5.554E+02 V
 * d) 6.109E+02 V
 * e) 6.720E+02 V

10) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=


 * a) 2.420E+00 m
 * b) 2.662E+00 m
 * c) 2.928E+00 m
 * d) 3.221E+00 m
 * e) 3.543E+00 m

11) 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

c07 J1
1) 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

2) A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 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=3.33 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) 4.324E+02 V
 * b) 4.757E+02 V
 * c) 5.232E+02 V
 * d) 5.755E+02 V
 * e) 6.331E+02 V

3) A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.032E+01 &mu;C
 * b) 1.135E+01 &mu;C
 * c) 1.249E+01 &mu;C
 * d) 1.374E+01 &mu;C
 * e) 1.511E+01 &mu;C

4) 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

5) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=43 V is x2 + y2 + z2 = R2, where R=


 * a) 2.299E+00 m
 * b) 2.529E+00 m
 * c) 2.782E+00 m
 * d) 3.060E+00 m
 * e) 3.366E+00 m

6) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * a) 3.031E+06 m/s
 * b) 3.335E+06 m/s
 * c) 3.668E+06 m/s
 * d) 4.035E+06 m/s
 * e) 4.438E+06 m/s

7) An electron gun has parallel plates separated by 4.85 cm and gives electrons 36 keV of energy. What force would the field between the plates exert on a 0.663 &mu;C charge that gets between the plates?


 * a) 3.697E-01 N
 * b) 4.067E-01 N
 * c) 4.474E-01 N
 * d) 4.921E-01 N
 * e) 5.413E-01 N

8) A 12.0 V battery can move 19,000 C of charge. How many Joules does it deliver?


 * a) 1.713E+05 J
 * b) 1.884E+05 J
 * c) 2.073E+05 J
 * d) 2.280E+05 J
 * e) 2.508E+05 J

9) 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

10) 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

11) When a 4.91 V battery operates a 1.43 W bulb, how many electrons pass through it each second?


 * a) 1.242E+18 electrons
 * b) 1.366E+18 electrons
 * c) 1.502E+18 electrons
 * d) 1.653E+18 electrons
 * e) 1.818E+18 electrons

c07 J2
1) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * a) 1.749E+18 electrons
 * b) 1.924E+18 electrons
 * c) 2.117E+18 electrons
 * d) 2.328E+18 electrons
 * e) 2.561E+18 electrons

2) A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.205E+01 &mu;C
 * b) 1.326E+01 &mu;C
 * c) 1.459E+01 &mu;C
 * d) 1.604E+01 &mu;C
 * e) 1.765E+01 &mu;C

3) A 12.0 V battery can move 31,000 C of charge. How many Joules does it deliver?


 * a) 2.541E+05 J
 * b) 2.795E+05 J
 * c) 3.074E+05 J
 * d) 3.382E+05 J
 * e) 3.720E+05 J

4) Calculate the final speed of a free electron accelerated from rest through a potential difference of 27 V.


 * a) 2.802E+06 m/s
 * b) 3.082E+06 m/s
 * c) 3.390E+06 m/s
 * d) 3.729E+06 m/s
 * e) 4.102E+06 m/s

5) 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

6) 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

7) Assume that a 24 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, 27&deg;).


 * a) 5.540E+02 V
 * b) 6.095E+02 V
 * c) 6.704E+02 V
 * d) 7.374E+02 V
 * e) 8.112E+02 V

8) A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.07 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=3.88 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) 2.164E+02 V
 * b) 2.381E+02 V
 * c) 2.619E+02 V
 * d) 2.880E+02 V
 * e) 3.168E+02 V

9) If a 29 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=81 V is x2 + y2 + z2 = R2, where R=


 * a) 3.218E+00 m
 * b) 3.540E+00 m
 * c) 3.893E+00 m
 * d) 4.283E+00 m
 * e) 4.711E+00 m

10) An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 &mu;C charge that gets between the plates?


 * a) 8.206E-01 N
 * b) 9.027E-01 N
 * c) 9.930E-01 N
 * d) 1.092E+00 N
 * e) 1.201E+00 N

11) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=7 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 2.300E+01 J
 * b) 2.530E+01 J
 * c) 2.783E+01 J
 * d) 3.061E+01 J
 * e) 3.367E+01 J

c07 K0
1) 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

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=6 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.819E+01 J
 * b) 4.201E+01 J
 * c) 4.621E+01 J
 * d) 5.083E+01 J
 * e) 5.591E+01 J

3) A 12.0 V battery can move 19,000 C of charge. How many Joules does it deliver?


 * a) 1.713E+05 J
 * b) 1.884E+05 J
 * c) 2.073E+05 J
 * d) 2.280E+05 J
 * e) 2.508E+05 J

4) When a 6.24 V battery operates a 2.1 W bulb, how many electrons pass through it each second?


 * a) 1.435E+18 electrons
 * b) 1.578E+18 electrons
 * c) 1.736E+18 electrons
 * d) 1.910E+18 electrons
 * e) 2.101E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 69 V.


 * a) 3.365E+06 m/s
 * b) 3.701E+06 m/s
 * c) 4.072E+06 m/s
 * d) 4.479E+06 m/s
 * e) 4.927E+06 m/s

6) An electron gun has parallel plates separated by 2.98 cm and gives electrons 11 keV of energy. What force would the field between the plates exert on a 0.685 &mu;C charge that gets between the plates?


 * a) 1.900E-01 N
 * b) 2.090E-01 N
 * c) 2.299E-01 N
 * d) 2.529E-01 N
 * e) 2.781E-01 N

7) 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  (9 cm, 0&deg;) and  P2 is at (12 cm, 15&deg;).


 * a) 4.244E+02 V
 * b) 4.669E+02 V
 * c) 5.135E+02 V
 * d) 5.649E+02 V
 * e) 6.214E+02 V

8) A Van de Graff generator has a 149 cm diameter metal sphere that produces 172 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.071E+01 &mu;C
 * b) 1.178E+01 &mu;C
 * c) 1.296E+01 &mu;C
 * d) 1.426E+01 &mu;C
 * e) 1.568E+01 &mu;C

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.08 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=2.04 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) 7.017E+02 V
 * b) 7.718E+02 V
 * c) 8.490E+02 V
 * d) 9.339E+02 V
 * e) 1.027E+03 V

10) If a 13 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=84 V is x2 + y2 + z2 = R2, where R=


 * a) 1.391E+00 m
 * b) 1.530E+00 m
 * c) 1.683E+00 m
 * d) 1.851E+00 m
 * e) 2.036E+00 m

11) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * a) 5.431E-01 mm
 * b) 6.245E-01 mm
 * c) 7.182E-01 mm
 * d) 8.260E-01 mm
 * e) 9.499E-01 mm

c07 K1
1) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 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=3.51 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) 5.261E+02 V
 * b) 5.787E+02 V
 * c) 6.365E+02 V
 * d) 7.002E+02 V
 * e) 7.702E+02 V

2) Assume that a 25 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 (13 cm, 70&deg;).


 * a) 2.285E+03 V
 * b) 2.514E+03 V
 * c) 2.765E+03 V
 * d) 3.042E+03 V
 * e) 3.346E+03 V

3) A 12.0 V battery can move 26,000 C of charge. How many Joules does it deliver?


 * a) 2.836E+05 J
 * b) 3.120E+05 J
 * c) 3.432E+05 J
 * d) 3.775E+05 J
 * e) 4.153E+05 J

4) 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

5) 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

6) 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

7) When a 3.21 V battery operates a 2.38 W bulb, how many electrons pass through it each second?


 * a) 3.161E+18 electrons
 * b) 3.477E+18 electrons
 * c) 3.825E+18 electrons
 * d) 4.207E+18 electrons
 * e) 4.628E+18 electrons

8) 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

9) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x2 + y2 + z2 = R2, where R=


 * a) 5.169E+00 m
 * b) 5.686E+00 m
 * c) 6.255E+00 m
 * d) 6.880E+00 m
 * e) 7.568E+00 m

10) An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 &mu;C charge that gets between the plates?


 * a) 1.767E-01 N
 * b) 1.944E-01 N
 * c) 2.138E-01 N
 * d) 2.352E-01 N
 * e) 2.587E-01 N

11) A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.388E+01 &mu;C
 * b) 1.527E+01 &mu;C
 * c) 1.680E+01 &mu;C
 * d) 1.848E+01 &mu;C
 * e) 2.033E+01 &mu;C

c07 K2
1) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x2 + y2 + z2 = R2, where R=


 * a) 1.107E+00 m
 * b) 1.218E+00 m
 * c) 1.339E+00 m
 * d) 1.473E+00 m
 * e) 1.621E+00 m

2) A 12.0 V battery can move 30,000 C of charge. How many Joules does it deliver?


 * a) 3.273E+05 J
 * b) 3.600E+05 J
 * c) 3.960E+05 J
 * d) 4.356E+05 J
 * e) 4.792E+05 J

3) 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

4) Two large parallel conducting plates are separated by 6.95 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 83 V?


 * a) 6.565E-01 mm
 * b) 7.550E-01 mm
 * c) 8.683E-01 mm
 * d) 9.985E-01 mm
 * e) 1.148E+00 mm

5) 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

6) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * a) 5.102E+06 m/s
 * b) 5.612E+06 m/s
 * c) 6.173E+06 m/s
 * d) 6.791E+06 m/s
 * e) 7.470E+06 m/s

7) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 4.235E+01 J
 * b) 4.659E+01 J
 * c) 5.125E+01 J
 * d) 5.637E+01 J
 * e) 6.201E+01 J

8) 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

9) Assume that a 11 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 (12 cm, 14&deg;).


 * a) 1.876E+02 V
 * b) 2.063E+02 V
 * c) 2.270E+02 V
 * d) 2.497E+02 V
 * e) 2.746E+02 V

10) An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 &mu;C charge that gets between the plates?


 * a) 8.206E-01 N
 * b) 9.027E-01 N
 * c) 9.930E-01 N
 * d) 1.092E+00 N
 * e) 1.201E+00 N

11) A Van de Graff generator has a 105 cm diameter metal sphere that produces 210 kV near its surface. What  is the excess charge on the sphere?


 * a) 9.216E+00 &mu;C
 * b) 1.014E+01 &mu;C
 * c) 1.115E+01 &mu;C
 * d) 1.227E+01 &mu;C
 * e) 1.349E+01 &mu;C

c07 L0
1) A 7 C charge is separated from a 15 C charge by distance of 14 cm.  What is the work done by increasing this separation to 20 cm?


 * a) 1.519E-06 J
 * b) 1.671E-06 J
 * c) 1.838E-06 J
 * d) 2.022E-06 J
 * e) 2.224E-06 J

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=6 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.819E+01 J
 * b) 4.201E+01 J
 * c) 4.621E+01 J
 * d) 5.083E+01 J
 * e) 5.591E+01 J

3) 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

4) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * a) 7.397E+17 electrons
 * b) 8.137E+17 electrons
 * c) 8.951E+17 electrons
 * d) 9.846E+17 electrons
 * e) 1.083E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * a) 5.102E+06 m/s
 * b) 5.612E+06 m/s
 * c) 6.173E+06 m/s
 * d) 6.791E+06 m/s
 * e) 7.470E+06 m/s

6) 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

7) 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  (8 cm, 0&deg;) and  P2 is at (14 cm, 34&deg;).


 * a) 2.626E+02 V
 * b) 2.889E+02 V
 * c) 3.178E+02 V
 * d) 3.496E+02 V
 * e) 3.845E+02 V

8) A Van de Graff generator has a 72 cm diameter metal sphere that produces 285 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.038E+01 &mu;C
 * b) 1.142E+01 &mu;C
 * c) 1.256E+01 &mu;C
 * d) 1.381E+01 &mu;C
 * e) 1.519E+01 &mu;C

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 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=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * a) 5.645E+02 V
 * b) 6.210E+02 V
 * c) 6.831E+02 V
 * d) 7.514E+02 V
 * e) 8.266E+02 V

10) If a 29 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=81 V is x2 + y2 + z2 = R2, where R=


 * a) 3.218E+00 m
 * b) 3.540E+00 m
 * c) 3.893E+00 m
 * d) 4.283E+00 m
 * e) 4.711E+00 m

11) Two large parallel conducting plates are separated by 7.83 mm. Equal and opposite surface charges of 7.530E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 86 V?


 * a) 8.793E-01 mm
 * b) 1.011E+00 mm
 * c) 1.163E+00 mm
 * d) 1.337E+00 mm
 * e) 1.538E+00 mm

c07 L1
1) An electron gun has parallel plates separated by 5.02 cm and gives electrons 16 keV of energy. What force would the field between the plates exert on a 0.609 &mu;C charge that gets between the plates?


 * a) 1.604E-01 N
 * b) 1.765E-01 N
 * c) 1.941E-01 N
 * d) 2.135E-01 N
 * e) 2.349E-01 N

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.444E+01 J
 * b) 3.789E+01 J
 * c) 4.168E+01 J
 * d) 4.585E+01 J
 * e) 5.043E+01 J

3) A 9 C charge is separated from a 16 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * a) 4.853E-06 J
 * b) 5.339E-06 J
 * c) 5.872E-06 J
 * d) 6.460E-06 J
 * e) 7.106E-06 J

4) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?


 * a) 1.967E+05 J
 * b) 2.164E+05 J
 * c) 2.380E+05 J
 * d) 2.618E+05 J
 * e) 2.880E+05 J

5) A Van de Graff generator has a 114 cm diameter metal sphere that produces 275 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.744E+01 &mu;C
 * b) 1.918E+01 &mu;C
 * c) 2.110E+01 &mu;C
 * d) 2.321E+01 &mu;C
 * e) 2.554E+01 &mu;C

6) A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 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=3.33 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) 4.324E+02 V
 * b) 4.757E+02 V
 * c) 5.232E+02 V
 * d) 5.755E+02 V
 * e) 6.331E+02 V

7) 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  (8 cm, 0&deg;) and  P2 is at (14 cm, 34&deg;).


 * a) 2.626E+02 V
 * b) 2.889E+02 V
 * c) 3.178E+02 V
 * d) 3.496E+02 V
 * e) 3.845E+02 V

8) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=


 * a) 1.598E+00 m
 * b) 1.757E+00 m
 * c) 1.933E+00 m
 * d) 2.127E+00 m
 * e) 2.339E+00 m

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * a) 3.617E+06 m/s
 * b) 3.979E+06 m/s
 * c) 4.376E+06 m/s
 * d) 4.814E+06 m/s
 * e) 5.296E+06 m/s

10) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * a) 5.431E-01 mm
 * b) 6.245E-01 mm
 * c) 7.182E-01 mm
 * d) 8.260E-01 mm
 * e) 9.499E-01 mm

11) When a 5.65 V battery operates a 2.73 W bulb, how many electrons pass through it each second?


 * a) 3.016E+18 electrons
 * b) 3.317E+18 electrons
 * c) 3.649E+18 electrons
 * d) 4.014E+18 electrons
 * e) 4.415E+18 electrons

c07 L2
1) An electron gun has parallel plates separated by 3.39 cm and gives electrons 57 keV of energy. What force would the field between the plates exert on a 0.218 &mu;C charge that gets between the plates?


 * a) 3.029E-01 N
 * b) 3.332E-01 N
 * c) 3.665E-01 N
 * d) 4.032E-01 N
 * e) 4.435E-01 N

2) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?


 * a) 1.967E+05 J
 * b) 2.164E+05 J
 * c) 2.380E+05 J
 * d) 2.618E+05 J
 * e) 2.880E+05 J

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 6 V.


 * a) 1.091E+06 m/s
 * b) 1.201E+06 m/s
 * c) 1.321E+06 m/s
 * d) 1.453E+06 m/s
 * e) 1.598E+06 m/s

4) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=


 * a) 2.139E+00 m
 * b) 2.353E+00 m
 * c) 2.588E+00 m
 * d) 2.847E+00 m
 * e) 3.132E+00 m

5) Assume that a 11 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 (12 cm, 14&deg;).


 * a) 1.876E+02 V
 * b) 2.063E+02 V
 * c) 2.270E+02 V
 * d) 2.497E+02 V
 * e) 2.746E+02 V

6) A 9 C charge is separated from a 16 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * a) 4.853E-06 J
 * b) 5.339E-06 J
 * c) 5.872E-06 J
 * d) 6.460E-06 J
 * e) 7.106E-06 J

7) 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

8) 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

9) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?


 * a) 4.723E-01 mm
 * b) 5.432E-01 mm
 * c) 6.246E-01 mm
 * d) 7.183E-01 mm
 * e) 8.261E-01 mm

10) When a 2.76 V battery operates a 2.71 W bulb, how many electrons pass through it each second?


 * a) 5.571E+18 electrons
 * b) 6.128E+18 electrons
 * c) 6.741E+18 electrons
 * d) 7.415E+18 electrons
 * e) 8.157E+18 electrons

11) A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 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=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.


 * a) 4.104E+02 V
 * b) 4.514E+02 V
 * c) 4.965E+02 V
 * d) 5.462E+02 V
 * e) 6.008E+02 V

c07 M0
1) A 8 C charge is separated from a 12 C charge by distance of 9 cm.  What is the work done by increasing this separation to 18 cm?


 * a) 3.274E-06 J
 * b) 3.601E-06 J
 * c) 3.961E-06 J
 * d) 4.358E-06 J
 * e) 4.793E-06 J

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=6 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.819E+01 J
 * b) 4.201E+01 J
 * c) 4.621E+01 J
 * d) 5.083E+01 J
 * e) 5.591E+01 J

3) 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

4) When a 5.65 V battery operates a 2.73 W bulb, how many electrons pass through it each second?


 * a) 3.016E+18 electrons
 * b) 3.317E+18 electrons
 * c) 3.649E+18 electrons
 * d) 4.014E+18 electrons
 * e) 4.415E+18 electrons

5) 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

6) An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 &mu;C charge that gets between the plates?


 * a) 3.977E-01 N
 * b) 4.374E-01 N
 * c) 4.812E-01 N
 * d) 5.293E-01 N
 * e) 5.822E-01 N

7) 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

8) A Van de Graff generator has a 149 cm diameter metal sphere that produces 172 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.071E+01 &mu;C
 * b) 1.178E+01 &mu;C
 * c) 1.296E+01 &mu;C
 * d) 1.426E+01 &mu;C
 * e) 1.568E+01 &mu;C

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 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=3.51 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) 5.261E+02 V
 * b) 5.787E+02 V
 * c) 6.365E+02 V
 * d) 7.002E+02 V
 * e) 7.702E+02 V

10) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x2 + y2 + z2 = R2, where R=


 * a) 5.169E+00 m
 * b) 5.686E+00 m
 * c) 6.255E+00 m
 * d) 6.880E+00 m
 * e) 7.568E+00 m

11) 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

c07 M1
1) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?


 * a) 3.799E-01 mm
 * b) 4.368E-01 mm
 * c) 5.024E-01 mm
 * d) 5.777E-01 mm
 * e) 6.644E-01 mm

2) 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

3) A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.205E+01 &mu;C
 * b) 1.326E+01 &mu;C
 * c) 1.459E+01 &mu;C
 * d) 1.604E+01 &mu;C
 * e) 1.765E+01 &mu;C

4) 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=3 &mu;C, q2=6 &mu;C, q3=9 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 7.789E+01 J
 * b) 8.568E+01 J
 * c) 9.425E+01 J
 * d) 1.037E+02 J
 * e) 1.140E+02 J

5) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=


 * a) 1.598E+00 m
 * b) 1.757E+00 m
 * c) 1.933E+00 m
 * d) 2.127E+00 m
 * e) 2.339E+00 m

6) An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 &mu;C charge that gets between the plates?


 * a) 3.977E-01 N
 * b) 4.374E-01 N
 * c) 4.812E-01 N
 * d) 5.293E-01 N
 * e) 5.822E-01 N

7) Assume that a 15 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 (14 cm, 77&deg;).


 * a) 1.184E+03 V
 * b) 1.302E+03 V
 * c) 1.432E+03 V
 * d) 1.576E+03 V
 * e) 1.733E+03 V

8) 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

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * a) 5.102E+06 m/s
 * b) 5.612E+06 m/s
 * c) 6.173E+06 m/s
 * d) 6.791E+06 m/s
 * e) 7.470E+06 m/s

10) 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

11) When a 6.03 V battery operates a 1.56 W bulb, how many electrons pass through it each second?


 * a) 1.615E+18 electrons
 * b) 1.776E+18 electrons
 * c) 1.954E+18 electrons
 * d) 2.149E+18 electrons
 * e) 2.364E+18 electrons

c07 M2
1) 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

2) 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=3 &mu;C, q2=5 &mu;C, q3=7 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 5.998E+01 J
 * b) 6.598E+01 J
 * c) 7.257E+01 J
 * d) 7.983E+01 J
 * e) 8.781E+01 J

3) An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 &mu;C charge that gets between the plates?


 * a) 1.767E-01 N
 * b) 1.944E-01 N
 * c) 2.138E-01 N
 * d) 2.352E-01 N
 * e) 2.587E-01 N

4) 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

5) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=


 * a) 2.139E+00 m
 * b) 2.353E+00 m
 * c) 2.588E+00 m
 * d) 2.847E+00 m
 * e) 3.132E+00 m

6) A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What  is the excess charge on the sphere?


 * a) 9.129E+00 &mu;C
 * b) 1.004E+01 &mu;C
 * c) 1.105E+01 &mu;C
 * d) 1.215E+01 &mu;C
 * e) 1.337E+01 &mu;C

7) 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

8) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?


 * a) 3.278E+05 J
 * b) 3.606E+05 J
 * c) 3.967E+05 J
 * d) 4.364E+05 J
 * e) 4.800E+05 J

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 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=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * a) 5.645E+02 V
 * b) 6.210E+02 V
 * c) 6.831E+02 V
 * d) 7.514E+02 V
 * e) 8.266E+02 V

10) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?


 * a) 4.723E-01 mm
 * b) 5.432E-01 mm
 * c) 6.246E-01 mm
 * d) 7.183E-01 mm
 * e) 8.261E-01 mm

11) A 9 C charge is separated from a 16 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * a) 4.853E-06 J
 * b) 5.339E-06 J
 * c) 5.872E-06 J
 * d) 6.460E-06 J
 * e) 7.106E-06 J

c07 N0
1) A 8 C charge is separated from a 13 C charge by distance of 7 cm.  What is the work done by increasing this separation to 13 cm?


 * a) 4.209E-06 J
 * b) 4.630E-06 J
 * c) 5.093E-06 J
 * d) 5.603E-06 J
 * e) 6.163E-06 J

2) 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=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) 6.598E+01 J
 * b) 7.258E+01 J
 * c) 7.983E+01 J
 * d) 8.782E+01 J
 * e) 9.660E+01 J

3) A 12.0 V battery can move 26,000 C of charge. How many Joules does it deliver?


 * a) 2.836E+05 J
 * b) 3.120E+05 J
 * c) 3.432E+05 J
 * d) 3.775E+05 J
 * e) 4.153E+05 J

4) 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

5) 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

6) 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

7) Assume that a 24 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, 27&deg;).


 * a) 5.540E+02 V
 * b) 6.095E+02 V
 * c) 6.704E+02 V
 * d) 7.374E+02 V
 * e) 8.112E+02 V

8) A Van de Graff generator has a 119 cm diameter metal sphere that produces 248 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.234E+01 &mu;C
 * b) 1.357E+01 &mu;C
 * c) 1.493E+01 &mu;C
 * d) 1.642E+01 &mu;C
 * e) 1.806E+01 &mu;C

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 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=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * a) 5.645E+02 V
 * b) 6.210E+02 V
 * c) 6.831E+02 V
 * d) 7.514E+02 V
 * e) 8.266E+02 V

10) If a 18 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=12 V is x2 + y2 + z2 = R2, where R=


 * a) 1.114E+01 m
 * b) 1.226E+01 m
 * c) 1.348E+01 m
 * d) 1.483E+01 m
 * e) 1.631E+01 m

11) 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

c07 N1
1) Two large parallel conducting plates are separated by 6.86 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 79 V?


 * a) 6.100E-01 mm
 * b) 7.015E-01 mm
 * c) 8.067E-01 mm
 * d) 9.277E-01 mm
 * e) 1.067E+00 mm

2) Calculate the final speed of a free electron accelerated from rest through a potential difference of 69 V.


 * a) 3.365E+06 m/s
 * b) 3.701E+06 m/s
 * c) 4.072E+06 m/s
 * d) 4.479E+06 m/s
 * e) 4.927E+06 m/s

3) A 8 C charge is separated from a 12 C charge by distance of 9 cm.  What is the work done by increasing this separation to 18 cm?


 * a) 3.274E-06 J
 * b) 3.601E-06 J
 * c) 3.961E-06 J
 * d) 4.358E-06 J
 * e) 4.793E-06 J

4) Assume that a 3 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 (12 cm, 32&deg;).


 * a) 1.857E+02 V
 * b) 2.043E+02 V
 * c) 2.247E+02 V
 * d) 2.472E+02 V
 * e) 2.719E+02 V

5) 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

6) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.08 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=2.04 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) 7.017E+02 V
 * b) 7.718E+02 V
 * c) 8.490E+02 V
 * d) 9.339E+02 V
 * e) 1.027E+03 V

7) 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

8) When a 3.63 V battery operates a 1.34 W bulb, how many electrons pass through it each second?


 * a) 2.095E+18 electrons
 * b) 2.304E+18 electrons
 * c) 2.534E+18 electrons
 * d) 2.788E+18 electrons
 * e) 3.067E+18 electrons

9) 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

10) 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

11) A 12.0 V battery can move 27,000 C of charge. How many Joules does it deliver?


 * a) 2.213E+05 J
 * b) 2.434E+05 J
 * c) 2.678E+05 J
 * d) 2.945E+05 J
 * e) 3.240E+05 J

c07 N2
1) When a 5.65 V battery operates a 2.73 W bulb, how many electrons pass through it each second?


 * a) 3.016E+18 electrons
 * b) 3.317E+18 electrons
 * c) 3.649E+18 electrons
 * d) 4.014E+18 electrons
 * e) 4.415E+18 electrons

2) A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 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=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.


 * a) 4.590E+02 V
 * b) 5.049E+02 V
 * c) 5.554E+02 V
 * d) 6.109E+02 V
 * e) 6.720E+02 V

3) 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

4) Assume that a 23 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 (13 cm, 18&deg;).


 * a) 1.024E+03 V
 * b) 1.126E+03 V
 * c) 1.239E+03 V
 * d) 1.363E+03 V
 * e) 1.499E+03 V

5) A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.388E+01 &mu;C
 * b) 1.527E+01 &mu;C
 * c) 1.680E+01 &mu;C
 * d) 1.848E+01 &mu;C
 * e) 2.033E+01 &mu;C

6) 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

7) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 4.235E+01 J
 * b) 4.659E+01 J
 * c) 5.125E+01 J
 * d) 5.637E+01 J
 * e) 6.201E+01 J

8) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?


 * a) 4.391E-01 mm
 * b) 5.049E-01 mm
 * c) 5.806E-01 mm
 * d) 6.677E-01 mm
 * e) 7.679E-01 mm

9) A 7 C charge is separated from a 12 C charge by distance of 11 cm.  What is the work done by increasing this separation to 19 cm?


 * a) 2.890E-06 J
 * b) 3.179E-06 J
 * c) 3.497E-06 J
 * d) 3.846E-06 J
 * e) 4.231E-06 J

10) An electron gun has parallel plates separated by 2.36 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.45 &mu;C charge that gets between the plates?


 * a) 7.033E-01 N
 * b) 7.736E-01 N
 * c) 8.510E-01 N
 * d) 9.361E-01 N
 * e) 1.030E+00 N

11) Calculate the final speed of a free electron accelerated from rest through a potential difference of 30 V.


 * a) 2.441E+06 m/s
 * b) 2.685E+06 m/s
 * c) 2.953E+06 m/s
 * d) 3.249E+06 m/s
 * e) 3.573E+06 m/s

c07 O0
1) 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

2) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=10 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 1.194E+02 J
 * b) 1.314E+02 J
 * c) 1.445E+02 J
 * d) 1.589E+02 J
 * e) 1.748E+02 J

3) A 12.0 V battery can move 29,000 C of charge. How many Joules does it deliver?


 * a) 2.615E+05 J
 * b) 2.876E+05 J
 * c) 3.164E+05 J
 * d) 3.480E+05 J
 * e) 3.828E+05 J

4) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?


 * a) 2.659E+18 electrons
 * b) 2.925E+18 electrons
 * c) 3.217E+18 electrons
 * d) 3.539E+18 electrons
 * e) 3.893E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 81 V.


 * a) 4.411E+06 m/s
 * b) 4.853E+06 m/s
 * c) 5.338E+06 m/s
 * d) 5.872E+06 m/s
 * e) 6.459E+06 m/s

6) 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

7) 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

8) A Van de Graff generator has a 124 cm diameter metal sphere that produces 270 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.539E+01 &mu;C
 * b) 1.693E+01 &mu;C
 * c) 1.863E+01 &mu;C
 * d) 2.049E+01 &mu;C
 * e) 2.254E+01 &mu;C

9) A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 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=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.


 * a) 4.590E+02 V
 * b) 5.049E+02 V
 * c) 5.554E+02 V
 * d) 6.109E+02 V
 * e) 6.720E+02 V

10) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=83 V is x2 + y2 + z2 = R2, where R=


 * a) 1.378E+00 m
 * b) 1.516E+00 m
 * c) 1.668E+00 m
 * d) 1.834E+00 m
 * e) 2.018E+00 m

11) 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

c07 O1
1) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 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=3.51 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) 5.261E+02 V
 * b) 5.787E+02 V
 * c) 6.365E+02 V
 * d) 7.002E+02 V
 * e) 7.702E+02 V

2) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=


 * a) 2.420E+00 m
 * b) 2.662E+00 m
 * c) 2.928E+00 m
 * d) 3.221E+00 m
 * e) 3.543E+00 m

3) A 2 C charge is separated from a 6 C charge by distance of 13 cm.  What is the work done by increasing this separation to 16 cm?


 * a) 1.556E-07 J
 * b) 1.711E-07 J
 * c) 1.882E-07 J
 * d) 2.070E-07 J
 * e) 2.277E-07 J

4) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?


 * a) 4.723E-01 mm
 * b) 5.432E-01 mm
 * c) 6.246E-01 mm
 * d) 7.183E-01 mm
 * e) 8.261E-01 mm

5) 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  (9 cm, 0&deg;) and  P2 is at (12 cm, 15&deg;).


 * a) 4.244E+02 V
 * b) 4.669E+02 V
 * c) 5.135E+02 V
 * d) 5.649E+02 V
 * e) 6.214E+02 V

6) 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

7) 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

8) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * a) 7.397E+17 electrons
 * b) 8.137E+17 electrons
 * c) 8.951E+17 electrons
 * d) 9.846E+17 electrons
 * e) 1.083E+18 electrons

9) 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

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 81 V.


 * a) 4.411E+06 m/s
 * b) 4.853E+06 m/s
 * c) 5.338E+06 m/s
 * d) 5.872E+06 m/s
 * e) 6.459E+06 m/s

11) A 12.0 V battery can move 29,000 C of charge. How many Joules does it deliver?


 * a) 2.615E+05 J
 * b) 2.876E+05 J
 * c) 3.164E+05 J
 * d) 3.480E+05 J
 * e) 3.828E+05 J

c07 O2
1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 69 V.


 * a) 3.365E+06 m/s
 * b) 3.701E+06 m/s
 * c) 4.072E+06 m/s
 * d) 4.479E+06 m/s
 * e) 4.927E+06 m/s

2) A 3 C charge is separated from a 11 C charge by distance of 12 cm.  What is the work done by increasing this separation to 19 cm?


 * a) 8.278E-07 J
 * b) 9.106E-07 J
 * c) 1.002E-06 J
 * d) 1.102E-06 J
 * e) 1.212E-06 J

3) A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.500E+01 &mu;C
 * b) 1.650E+01 &mu;C
 * c) 1.815E+01 &mu;C
 * d) 1.997E+01 &mu;C
 * e) 2.196E+01 &mu;C

4) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?


 * a) 3.570E+05 J
 * b) 3.927E+05 J
 * c) 4.320E+05 J
 * d) 4.752E+05 J
 * e) 5.227E+05 J

5) 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

6) An electron gun has parallel plates separated by 4.95 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.516 &mu;C charge that gets between the plates?


 * a) 1.355E-01 N
 * b) 1.491E-01 N
 * c) 1.640E-01 N
 * d) 1.804E-01 N
 * e) 1.984E-01 N

7) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * a) 1.749E+18 electrons
 * b) 1.924E+18 electrons
 * c) 2.117E+18 electrons
 * d) 2.328E+18 electrons
 * e) 2.561E+18 electrons

8) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 4.235E+01 J
 * b) 4.659E+01 J
 * c) 5.125E+01 J
 * d) 5.637E+01 J
 * e) 6.201E+01 J

9) Assume that a 25 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 (13 cm, 70&deg;).


 * a) 2.285E+03 V
 * b) 2.514E+03 V
 * c) 2.765E+03 V
 * d) 3.042E+03 V
 * e) 3.346E+03 V

10) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x2 + y2 + z2 = R2, where R=


 * a) 5.169E+00 m
 * b) 5.686E+00 m
 * c) 6.255E+00 m
 * d) 6.880E+00 m
 * e) 7.568E+00 m

11) 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

c07 P0
1) 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

2) 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

3) 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

4) 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

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 69 V.


 * a) 3.365E+06 m/s
 * b) 3.701E+06 m/s
 * c) 4.072E+06 m/s
 * d) 4.479E+06 m/s
 * e) 4.927E+06 m/s

6) An electron gun has parallel plates separated by 4.24 cm and gives electrons 48 keV of energy. What force would the field between the plates exert on a 0.48 &mu;C charge that gets between the plates?


 * a) 5.434E-01 N
 * b) 5.977E-01 N
 * c) 6.575E-01 N
 * d) 7.233E-01 N
 * e) 7.956E-01 N

7) Assume that a 22 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 (12 cm, 53&deg;).


 * a) 5.492E+02 V
 * b) 6.042E+02 V
 * c) 6.646E+02 V
 * d) 7.310E+02 V
 * e) 8.041E+02 V

8) A Van de Graff generator has a 114 cm diameter metal sphere that produces 275 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.744E+01 &mu;C
 * b) 1.918E+01 &mu;C
 * c) 2.110E+01 &mu;C
 * d) 2.321E+01 &mu;C
 * e) 2.554E+01 &mu;C

9) A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 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=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.


 * a) 4.104E+02 V
 * b) 4.514E+02 V
 * c) 4.965E+02 V
 * d) 5.462E+02 V
 * e) 6.008E+02 V

10) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=


 * a) 2.420E+00 m
 * b) 2.662E+00 m
 * c) 2.928E+00 m
 * d) 3.221E+00 m
 * e) 3.543E+00 m

11) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * a) 5.431E-01 mm
 * b) 6.245E-01 mm
 * c) 7.182E-01 mm
 * d) 8.260E-01 mm
 * e) 9.499E-01 mm

c07 P1
1) A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.07 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=3.88 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) 2.164E+02 V
 * b) 2.381E+02 V
 * c) 2.619E+02 V
 * d) 2.880E+02 V
 * e) 3.168E+02 V

2) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=


 * a) 1.598E+00 m
 * b) 1.757E+00 m
 * c) 1.933E+00 m
 * d) 2.127E+00 m
 * e) 2.339E+00 m

3) A 8 C charge is separated from a 12 C charge by distance of 9 cm.  What is the work done by increasing this separation to 18 cm?


 * a) 3.274E-06 J
 * b) 3.601E-06 J
 * c) 3.961E-06 J
 * d) 4.358E-06 J
 * e) 4.793E-06 J

4) Two large parallel conducting plates are separated by 8.13 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 92 V?


 * a) 9.394E-01 mm
 * b) 1.080E+00 mm
 * c) 1.242E+00 mm
 * d) 1.429E+00 mm
 * e) 1.643E+00 mm

5) 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

6) 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

7) An electron gun has parallel plates separated by 3.39 cm and gives electrons 57 keV of energy. What force would the field between the plates exert on a 0.218 &mu;C charge that gets between the plates?


 * a) 3.029E-01 N
 * b) 3.332E-01 N
 * c) 3.665E-01 N
 * d) 4.032E-01 N
 * e) 4.435E-01 N

8) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=6 &mu;C, and q4=8 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 2.343E+01 J
 * b) 2.577E+01 J
 * c) 2.835E+01 J
 * d) 3.118E+01 J
 * e) 3.430E+01 J

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 27 V.


 * a) 2.802E+06 m/s
 * b) 3.082E+06 m/s
 * c) 3.390E+06 m/s
 * d) 3.729E+06 m/s
 * e) 4.102E+06 m/s

10) When a 6.32 V battery operates a 1.94 W bulb, how many electrons pass through it each second?


 * a) 1.439E+18 electrons
 * b) 1.583E+18 electrons
 * c) 1.742E+18 electrons
 * d) 1.916E+18 electrons
 * e) 2.107E+18 electrons

11) A Van de Graff generator has a 149 cm diameter metal sphere that produces 172 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.071E+01 &mu;C
 * b) 1.178E+01 &mu;C
 * c) 1.296E+01 &mu;C
 * d) 1.426E+01 &mu;C
 * e) 1.568E+01 &mu;C

c07 P2
1) 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

2) Two large parallel conducting plates are separated by 7.83 mm. Equal and opposite surface charges of 7.530E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 86 V?


 * a) 8.793E-01 mm
 * b) 1.011E+00 mm
 * c) 1.163E+00 mm
 * d) 1.337E+00 mm
 * e) 1.538E+00 mm

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 81 V.


 * a) 4.411E+06 m/s
 * b) 4.853E+06 m/s
 * c) 5.338E+06 m/s
 * d) 5.872E+06 m/s
 * e) 6.459E+06 m/s

4) A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.388E+01 &mu;C
 * b) 1.527E+01 &mu;C
 * c) 1.680E+01 &mu;C
 * d) 1.848E+01 &mu;C
 * e) 2.033E+01 &mu;C

5) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=6 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.819E+01 J
 * b) 4.201E+01 J
 * c) 4.621E+01 J
 * d) 5.083E+01 J
 * e) 5.591E+01 J

6) 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

7) Assume that a 25 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 (13 cm, 70&deg;).


 * a) 2.285E+03 V
 * b) 2.514E+03 V
 * c) 2.765E+03 V
 * d) 3.042E+03 V
 * e) 3.346E+03 V

8) An electron gun has parallel plates separated by 4.36 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.816 &mu;C charge that gets between the plates?


 * a) 2.212E-01 N
 * b) 2.433E-01 N
 * c) 2.676E-01 N
 * d) 2.944E-01 N
 * e) 3.238E-01 N

9) If a 29 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=81 V is x2 + y2 + z2 = R2, where R=


 * a) 3.218E+00 m
 * b) 3.540E+00 m
 * c) 3.893E+00 m
 * d) 4.283E+00 m
 * e) 4.711E+00 m

10) A 2 C charge is separated from a 6 C charge by distance of 13 cm.  What is the work done by increasing this separation to 16 cm?


 * a) 1.556E-07 J
 * b) 1.711E-07 J
 * c) 1.882E-07 J
 * d) 2.070E-07 J
 * e) 2.277E-07 J

11) When a 2.59 V battery operates a 2.89 W bulb, how many electrons pass through it each second?


 * a) 5.756E+18 electrons
 * b) 6.331E+18 electrons
 * c) 6.964E+18 electrons
 * d) 7.661E+18 electrons
 * e) 8.427E+18 electrons

c07 Q0
1) 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

2) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=10 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 1.194E+02 J
 * b) 1.314E+02 J
 * c) 1.445E+02 J
 * d) 1.589E+02 J
 * e) 1.748E+02 J

3) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?


 * a) 1.967E+05 J
 * b) 2.164E+05 J
 * c) 2.380E+05 J
 * d) 2.618E+05 J
 * e) 2.880E+05 J

4) 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

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 30 V.


 * a) 2.441E+06 m/s
 * b) 2.685E+06 m/s
 * c) 2.953E+06 m/s
 * d) 3.249E+06 m/s
 * e) 3.573E+06 m/s

6) An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 &mu;C charge that gets between the plates?


 * a) 1.767E-01 N
 * b) 1.944E-01 N
 * c) 2.138E-01 N
 * d) 2.352E-01 N
 * e) 2.587E-01 N

7) 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

8) A Van de Graff generator has a 124 cm diameter metal sphere that produces 270 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.539E+01 &mu;C
 * b) 1.693E+01 &mu;C
 * c) 1.863E+01 &mu;C
 * d) 2.049E+01 &mu;C
 * e) 2.254E+01 &mu;C

9) 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

10) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x2 + y2 + z2 = R2, where R=


 * a) 1.422E+00 m
 * b) 1.564E+00 m
 * c) 1.720E+00 m
 * d) 1.892E+00 m
 * e) 2.081E+00 m

11) 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

c07 Q1
1) Assume that a 11 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 (12 cm, 14&deg;).


 * a) 1.876E+02 V
 * b) 2.063E+02 V
 * c) 2.270E+02 V
 * d) 2.497E+02 V
 * e) 2.746E+02 V

2) If a 13 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=84 V is x2 + y2 + z2 = R2, where R=


 * a) 1.391E+00 m
 * b) 1.530E+00 m
 * c) 1.683E+00 m
 * d) 1.851E+00 m
 * e) 2.036E+00 m

3) 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=3 &mu;C, q2=6 &mu;C, q3=9 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 7.789E+01 J
 * b) 8.568E+01 J
 * c) 9.425E+01 J
 * d) 1.037E+02 J
 * e) 1.140E+02 J

4) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?


 * a) 4.200E+05 J
 * b) 4.620E+05 J
 * c) 5.082E+05 J
 * d) 5.590E+05 J
 * e) 6.149E+05 J

5) When a 2.59 V battery operates a 2.89 W bulb, how many electrons pass through it each second?


 * a) 5.756E+18 electrons
 * b) 6.331E+18 electrons
 * c) 6.964E+18 electrons
 * d) 7.661E+18 electrons
 * e) 8.427E+18 electrons

6) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * a) 3.617E+06 m/s
 * b) 3.979E+06 m/s
 * c) 4.376E+06 m/s
 * d) 4.814E+06 m/s
 * e) 5.296E+06 m/s

7) A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.500E+01 &mu;C
 * b) 1.650E+01 &mu;C
 * c) 1.815E+01 &mu;C
 * d) 1.997E+01 &mu;C
 * e) 2.196E+01 &mu;C

8) Two large parallel conducting plates are separated by 6.86 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 79 V?


 * a) 6.100E-01 mm
 * b) 7.015E-01 mm
 * c) 8.067E-01 mm
 * d) 9.277E-01 mm
 * e) 1.067E+00 mm

9) An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 &mu;C charge that gets between the plates?


 * a) 1.767E-01 N
 * b) 1.944E-01 N
 * c) 2.138E-01 N
 * d) 2.352E-01 N
 * e) 2.587E-01 N

10) A 2 C charge is separated from a 6 C charge by distance of 13 cm.  What is the work done by increasing this separation to 16 cm?


 * a) 1.556E-07 J
 * b) 1.711E-07 J
 * c) 1.882E-07 J
 * d) 2.070E-07 J
 * e) 2.277E-07 J

11) 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

c07 Q2
1) 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

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=6 &mu;C, and q4=8 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 2.343E+01 J
 * b) 2.577E+01 J
 * c) 2.835E+01 J
 * d) 3.118E+01 J
 * e) 3.430E+01 J

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 81 V.


 * a) 4.411E+06 m/s
 * b) 4.853E+06 m/s
 * c) 5.338E+06 m/s
 * d) 5.872E+06 m/s
 * e) 6.459E+06 m/s

4) Assume that a 26 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, 42&deg;).


 * a) 7.263E+02 V
 * b) 7.989E+02 V
 * c) 8.788E+02 V
 * d) 9.667E+02 V
 * e) 1.063E+03 V

5) 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

6) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?


 * a) 1.838E+18 electrons
 * b) 2.022E+18 electrons
 * c) 2.224E+18 electrons
 * d) 2.446E+18 electrons
 * e) 2.691E+18 electrons

7) A 12.0 V battery can move 26,000 C of charge. How many Joules does it deliver?


 * a) 2.836E+05 J
 * b) 3.120E+05 J
 * c) 3.432E+05 J
 * d) 3.775E+05 J
 * e) 4.153E+05 J

8) A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.205E+01 &mu;C
 * b) 1.326E+01 &mu;C
 * c) 1.459E+01 &mu;C
 * d) 1.604E+01 &mu;C
 * e) 1.765E+01 &mu;C

9) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 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=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * a) 5.134E+02 V
 * b) 5.648E+02 V
 * c) 6.212E+02 V
 * d) 6.834E+02 V
 * e) 7.517E+02 V

10) If a 13 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=84 V is x2 + y2 + z2 = R2, where R=


 * a) 1.391E+00 m
 * b) 1.530E+00 m
 * c) 1.683E+00 m
 * d) 1.851E+00 m
 * e) 2.036E+00 m

11) An electron gun has parallel plates separated by 4.36 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.816 &mu;C charge that gets between the plates?


 * a) 2.212E-01 N
 * b) 2.433E-01 N
 * c) 2.676E-01 N
 * d) 2.944E-01 N
 * e) 3.238E-01 N

c07 R0
1) A 7 C charge is separated from a 12 C charge by distance of 11 cm.  What is the work done by increasing this separation to 19 cm?


 * a) 2.890E-06 J
 * b) 3.179E-06 J
 * c) 3.497E-06 J
 * d) 3.846E-06 J
 * e) 4.231E-06 J

2) 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

3) A 12.0 V battery can move 31,000 C of charge. How many Joules does it deliver?


 * a) 2.541E+05 J
 * b) 2.795E+05 J
 * c) 3.074E+05 J
 * d) 3.382E+05 J
 * e) 3.720E+05 J

4) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?


 * a) 1.838E+18 electrons
 * b) 2.022E+18 electrons
 * c) 2.224E+18 electrons
 * d) 2.446E+18 electrons
 * e) 2.691E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * a) 3.288E+06 m/s
 * b) 3.617E+06 m/s
 * c) 3.979E+06 m/s
 * d) 4.376E+06 m/s
 * e) 4.814E+06 m/s

6) 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

7) 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

8) A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What  is the excess charge on the sphere?


 * a) 9.129E+00 &mu;C
 * b) 1.004E+01 &mu;C
 * c) 1.105E+01 &mu;C
 * d) 1.215E+01 &mu;C
 * e) 1.337E+01 &mu;C

9) A diploe has a charge magnitude of q=4 nC and a separation distance of d=3.79 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=3.2 cm, y=1.9 cm)? Note that following the textbook's example, the y-value of the field point at 1.9 cm matches the disance of the positive charge above the x-axis.


 * a) 2.731E+02 V
 * b) 3.004E+02 V
 * c) 3.304E+02 V
 * d) 3.634E+02 V
 * e) 3.998E+02 V

10) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=


 * a) 2.420E+00 m
 * b) 2.662E+00 m
 * c) 2.928E+00 m
 * d) 3.221E+00 m
 * e) 3.543E+00 m

11) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?


 * a) 3.799E-01 mm
 * b) 4.368E-01 mm
 * c) 5.024E-01 mm
 * d) 5.777E-01 mm
 * e) 6.644E-01 mm

c07 R1
1) A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What  is the excess charge on the sphere?


 * a) 9.129E+00 &mu;C
 * b) 1.004E+01 &mu;C
 * c) 1.105E+01 &mu;C
 * d) 1.215E+01 &mu;C
 * e) 1.337E+01 &mu;C

2) Assume that a 15 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 (14 cm, 77&deg;).


 * a) 1.184E+03 V
 * b) 1.302E+03 V
 * c) 1.432E+03 V
 * d) 1.576E+03 V
 * e) 1.733E+03 V

3) An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 &mu;C charge that gets between the plates?


 * a) 8.430E-01 N
 * b) 9.273E-01 N
 * c) 1.020E+00 N
 * d) 1.122E+00 N
 * e) 1.234E+00 N

4) 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

5) 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

6) A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 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=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.


 * a) 4.104E+02 V
 * b) 4.514E+02 V
 * c) 4.965E+02 V
 * d) 5.462E+02 V
 * e) 6.008E+02 V

7) 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

8) A 12.0 V battery can move 32,000 C of charge. How many Joules does it deliver?


 * a) 2.885E+05 J
 * b) 3.174E+05 J
 * c) 3.491E+05 J
 * d) 3.840E+05 J
 * e) 4.224E+05 J

9) A 3 C charge is separated from a 11 C charge by distance of 12 cm.  What is the work done by increasing this separation to 19 cm?


 * a) 8.278E-07 J
 * b) 9.106E-07 J
 * c) 1.002E-06 J
 * d) 1.102E-06 J
 * e) 1.212E-06 J

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * a) 3.031E+06 m/s
 * b) 3.335E+06 m/s
 * c) 3.668E+06 m/s
 * d) 4.035E+06 m/s
 * e) 4.438E+06 m/s

11) 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

c07 R2
1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * a) 3.031E+06 m/s
 * b) 3.335E+06 m/s
 * c) 3.668E+06 m/s
 * d) 4.035E+06 m/s
 * e) 4.438E+06 m/s

2) 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

3) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?


 * a) 2.659E+18 electrons
 * b) 2.925E+18 electrons
 * c) 3.217E+18 electrons
 * d) 3.539E+18 electrons
 * e) 3.893E+18 electrons

4) 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

5) 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

6) 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

7) Assume that a 23 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 (13 cm, 18&deg;).


 * a) 1.024E+03 V
 * b) 1.126E+03 V
 * c) 1.239E+03 V
 * d) 1.363E+03 V
 * e) 1.499E+03 V

8) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?


 * a) 4.391E-01 mm
 * b) 5.049E-01 mm
 * c) 5.806E-01 mm
 * d) 6.677E-01 mm
 * e) 7.679E-01 mm

9) A diploe has a charge magnitude of q=8 nC and a separation distance of d=3.55 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=3.43 cm, y=1.77 cm)? Note that following the textbook's example, the y-value of the field point at 1.77 cm matches the disance of the positive charge above the x-axis.


 * a) 5.796E+02 V
 * b) 6.375E+02 V
 * c) 7.013E+02 V
 * d) 7.714E+02 V
 * e) 8.486E+02 V

10) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.444E+01 J
 * b) 3.789E+01 J
 * c) 4.168E+01 J
 * d) 4.585E+01 J
 * e) 5.043E+01 J

11) 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

c07 S0
1) A 5 C charge is separated from a 9 C charge by distance of 14 cm.  What is the work done by increasing this separation to 18 cm?


 * a) 4.385E-07 J
 * b) 4.823E-07 J
 * c) 5.306E-07 J
 * d) 5.836E-07 J
 * e) 6.420E-07 J

2) 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=3 &mu;C, q2=5 &mu;C, q3=7 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 5.998E+01 J
 * b) 6.598E+01 J
 * c) 7.257E+01 J
 * d) 7.983E+01 J
 * e) 8.781E+01 J

3) A 12.0 V battery can move 30,000 C of charge. How many Joules does it deliver?


 * a) 3.273E+05 J
 * b) 3.600E+05 J
 * c) 3.960E+05 J
 * d) 4.356E+05 J
 * e) 4.792E+05 J

4) 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

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 83 V.


 * a) 4.466E+06 m/s
 * b) 4.912E+06 m/s
 * c) 5.403E+06 m/s
 * d) 5.944E+06 m/s
 * e) 6.538E+06 m/s

6) An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 &mu;C charge that gets between the plates?


 * a) 3.977E-01 N
 * b) 4.374E-01 N
 * c) 4.812E-01 N
 * d) 5.293E-01 N
 * e) 5.822E-01 N

7) Assume that a 29 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 (12 cm, 77&deg;).


 * a) 1.483E+03 V
 * b) 1.632E+03 V
 * c) 1.795E+03 V
 * d) 1.975E+03 V
 * e) 2.172E+03 V

8) A Van de Graff generator has a 72 cm diameter metal sphere that produces 285 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.038E+01 &mu;C
 * b) 1.142E+01 &mu;C
 * c) 1.256E+01 &mu;C
 * d) 1.381E+01 &mu;C
 * e) 1.519E+01 &mu;C

9) 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

10) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=


 * a) 1.598E+00 m
 * b) 1.757E+00 m
 * c) 1.933E+00 m
 * d) 2.127E+00 m
 * e) 2.339E+00 m

11) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?


 * a) 4.391E-01 mm
 * b) 5.049E-01 mm
 * c) 5.806E-01 mm
 * d) 6.677E-01 mm
 * e) 7.679E-01 mm

c07 S1
1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * a) 4.638E+06 m/s
 * b) 5.102E+06 m/s
 * c) 5.612E+06 m/s
 * d) 6.173E+06 m/s
 * e) 6.791E+06 m/s

2) 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

3) A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 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=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.


 * a) 4.104E+02 V
 * b) 4.514E+02 V
 * c) 4.965E+02 V
 * d) 5.462E+02 V
 * e) 6.008E+02 V

4) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?


 * a) 1.838E+18 electrons
 * b) 2.022E+18 electrons
 * c) 2.224E+18 electrons
 * d) 2.446E+18 electrons
 * e) 2.691E+18 electrons

5) A Van de Graff generator has a 72 cm diameter metal sphere that produces 285 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.038E+01 &mu;C
 * b) 1.142E+01 &mu;C
 * c) 1.256E+01 &mu;C
 * d) 1.381E+01 &mu;C
 * e) 1.519E+01 &mu;C

6) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=


 * a) 2.139E+00 m
 * b) 2.353E+00 m
 * c) 2.588E+00 m
 * d) 2.847E+00 m
 * e) 3.132E+00 m

7) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.444E+01 J
 * b) 3.789E+01 J
 * c) 4.168E+01 J
 * d) 4.585E+01 J
 * e) 5.043E+01 J

8) A 12.0 V battery can move 19,000 C of charge. How many Joules does it deliver?


 * a) 1.713E+05 J
 * b) 1.884E+05 J
 * c) 2.073E+05 J
 * d) 2.280E+05 J
 * e) 2.508E+05 J

9) An electron gun has parallel plates separated by 4.24 cm and gives electrons 48 keV of energy. What force would the field between the plates exert on a 0.48 &mu;C charge that gets between the plates?


 * a) 5.434E-01 N
 * b) 5.977E-01 N
 * c) 6.575E-01 N
 * d) 7.233E-01 N
 * e) 7.956E-01 N

10) 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

11) Assume that a 15 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 (14 cm, 77&deg;).


 * a) 1.184E+03 V
 * b) 1.302E+03 V
 * c) 1.432E+03 V
 * d) 1.576E+03 V
 * e) 1.733E+03 V

c07 S2
1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 11 V.


 * a) 1.626E+06 m/s
 * b) 1.788E+06 m/s
 * c) 1.967E+06 m/s
 * d) 2.164E+06 m/s
 * e) 2.380E+06 m/s

2) A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.205E+01 &mu;C
 * b) 1.326E+01 &mu;C
 * c) 1.459E+01 &mu;C
 * d) 1.604E+01 &mu;C
 * e) 1.765E+01 &mu;C

3) A 8 C charge is separated from a 12 C charge by distance of 9 cm.  What is the work done by increasing this separation to 18 cm?


 * a) 3.274E-06 J
 * b) 3.601E-06 J
 * c) 3.961E-06 J
 * d) 4.358E-06 J
 * e) 4.793E-06 J

4) 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

5) Assume that a 22 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 (12 cm, 53&deg;).


 * a) 5.492E+02 V
 * b) 6.042E+02 V
 * c) 6.646E+02 V
 * d) 7.310E+02 V
 * e) 8.041E+02 V

6) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.444E+01 J
 * b) 3.789E+01 J
 * c) 4.168E+01 J
 * d) 4.585E+01 J
 * e) 5.043E+01 J

7) 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

8) An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 &mu;C charge that gets between the plates?


 * a) 8.430E-01 N
 * b) 9.273E-01 N
 * c) 1.020E+00 N
 * d) 1.122E+00 N
 * e) 1.234E+00 N

9) 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

10) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 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=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * a) 5.134E+02 V
 * b) 5.648E+02 V
 * c) 6.212E+02 V
 * d) 6.834E+02 V
 * e) 7.517E+02 V

11) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=


 * a) 2.139E+00 m
 * b) 2.353E+00 m
 * c) 2.588E+00 m
 * d) 2.847E+00 m
 * e) 3.132E+00 m

c07 T0
1) 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

2) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=10 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 1.194E+02 J
 * b) 1.314E+02 J
 * c) 1.445E+02 J
 * d) 1.589E+02 J
 * e) 1.748E+02 J

3) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?


 * a) 3.570E+05 J
 * b) 3.927E+05 J
 * c) 4.320E+05 J
 * d) 4.752E+05 J
 * e) 5.227E+05 J

4) When a 6.32 V battery operates a 1.94 W bulb, how many electrons pass through it each second?


 * a) 1.439E+18 electrons
 * b) 1.583E+18 electrons
 * c) 1.742E+18 electrons
 * d) 1.916E+18 electrons
 * e) 2.107E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 30 V.


 * a) 2.441E+06 m/s
 * b) 2.685E+06 m/s
 * c) 2.953E+06 m/s
 * d) 3.249E+06 m/s
 * e) 3.573E+06 m/s

6) An electron gun has parallel plates separated by 4.95 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.516 &mu;C charge that gets between the plates?


 * a) 1.355E-01 N
 * b) 1.491E-01 N
 * c) 1.640E-01 N
 * d) 1.804E-01 N
 * e) 1.984E-01 N

7) Assume that a 11 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 (12 cm, 14&deg;).


 * a) 1.876E+02 V
 * b) 2.063E+02 V
 * c) 2.270E+02 V
 * d) 2.497E+02 V
 * e) 2.746E+02 V

8) A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.500E+01 &mu;C
 * b) 1.650E+01 &mu;C
 * c) 1.815E+01 &mu;C
 * d) 1.997E+01 &mu;C
 * e) 2.196E+01 &mu;C

9) A diploe has a charge magnitude of q=4 nC and a separation distance of d=3.79 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=3.2 cm, y=1.9 cm)? Note that following the textbook's example, the y-value of the field point at 1.9 cm matches the disance of the positive charge above the x-axis.


 * a) 2.731E+02 V
 * b) 3.004E+02 V
 * c) 3.304E+02 V
 * d) 3.634E+02 V
 * e) 3.998E+02 V

10) 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

11) Two large parallel conducting plates are separated by 6.86 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 79 V?


 * a) 6.100E-01 mm
 * b) 7.015E-01 mm
 * c) 8.067E-01 mm
 * d) 9.277E-01 mm
 * e) 1.067E+00 mm

c07 T1
1) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 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) 1.241E+02 J
 * b) 1.365E+02 J
 * c) 1.501E+02 J
 * d) 1.652E+02 J
 * e) 1.817E+02 J

2) 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

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 6 V.


 * a) 1.091E+06 m/s
 * b) 1.201E+06 m/s
 * c) 1.321E+06 m/s
 * d) 1.453E+06 m/s
 * e) 1.598E+06 m/s

4) 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

5) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?


 * a) 2.659E+18 electrons
 * b) 2.925E+18 electrons
 * c) 3.217E+18 electrons
 * d) 3.539E+18 electrons
 * e) 3.893E+18 electrons

6) A 12.0 V battery can move 27,000 C of charge. How many Joules does it deliver?


 * a) 2.213E+05 J
 * b) 2.434E+05 J
 * c) 2.678E+05 J
 * d) 2.945E+05 J
 * e) 3.240E+05 J

7) An electron gun has parallel plates separated by 4.95 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.516 &mu;C charge that gets between the plates?


 * a) 1.355E-01 N
 * b) 1.491E-01 N
 * c) 1.640E-01 N
 * d) 1.804E-01 N
 * e) 1.984E-01 N

8) Assume that a 26 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, 42&deg;).


 * a) 7.263E+02 V
 * b) 7.989E+02 V
 * c) 8.788E+02 V
 * d) 9.667E+02 V
 * e) 1.063E+03 V

9) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=


 * a) 1.598E+00 m
 * b) 1.757E+00 m
 * c) 1.933E+00 m
 * d) 2.127E+00 m
 * e) 2.339E+00 m

10) 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

11) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 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=3.51 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) 5.261E+02 V
 * b) 5.787E+02 V
 * c) 6.365E+02 V
 * d) 7.002E+02 V
 * e) 7.702E+02 V

c07 T2
1) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 4.235E+01 J
 * b) 4.659E+01 J
 * c) 5.125E+01 J
 * d) 5.637E+01 J
 * e) 6.201E+01 J

2) 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

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * a) 3.288E+06 m/s
 * b) 3.617E+06 m/s
 * c) 3.979E+06 m/s
 * d) 4.376E+06 m/s
 * e) 4.814E+06 m/s

4) Two large parallel conducting plates are separated by 6.67 mm. Equal and opposite surface charges of 7.080E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 60 V?


 * a) 6.525E-01 mm
 * b) 7.504E-01 mm
 * c) 8.629E-01 mm
 * d) 9.923E-01 mm
 * e) 1.141E+00 mm

5) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=


 * a) 2.420E+00 m
 * b) 2.662E+00 m
 * c) 2.928E+00 m
 * d) 3.221E+00 m
 * e) 3.543E+00 m

6) 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

7) A Van de Graff generator has a 105 cm diameter metal sphere that produces 210 kV near its surface. What  is the excess charge on the sphere?


 * a) 9.216E+00 &mu;C
 * b) 1.014E+01 &mu;C
 * c) 1.115E+01 &mu;C
 * d) 1.227E+01 &mu;C
 * e) 1.349E+01 &mu;C

8) An electron gun has parallel plates separated by 4.24 cm and gives electrons 48 keV of energy. What force would the field between the plates exert on a 0.48 &mu;C charge that gets between the plates?


 * a) 5.434E-01 N
 * b) 5.977E-01 N
 * c) 6.575E-01 N
 * d) 7.233E-01 N
 * e) 7.956E-01 N

9) 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

10) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?


 * a) 1.838E+18 electrons
 * b) 2.022E+18 electrons
 * c) 2.224E+18 electrons
 * d) 2.446E+18 electrons
 * e) 2.691E+18 electrons

11) A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 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=3.33 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) 4.324E+02 V
 * b) 4.757E+02 V
 * c) 5.232E+02 V
 * d) 5.755E+02 V
 * e) 6.331E+02 V

c07 U0
1) A 2 C charge is separated from a 10 C charge by distance of 8 cm.  What is the work done by increasing this separation to 14 cm?


 * a) 8.754E-07 J
 * b) 9.630E-07 J
 * c) 1.059E-06 J
 * d) 1.165E-06 J
 * e) 1.282E-06 J

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.444E+01 J
 * b) 3.789E+01 J
 * c) 4.168E+01 J
 * d) 4.585E+01 J
 * e) 5.043E+01 J

3) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?


 * a) 3.278E+05 J
 * b) 3.606E+05 J
 * c) 3.967E+05 J
 * d) 4.364E+05 J
 * e) 4.800E+05 J

4) When a 3.21 V battery operates a 2.38 W bulb, how many electrons pass through it each second?


 * a) 3.161E+18 electrons
 * b) 3.477E+18 electrons
 * c) 3.825E+18 electrons
 * d) 4.207E+18 electrons
 * e) 4.628E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * a) 5.102E+06 m/s
 * b) 5.612E+06 m/s
 * c) 6.173E+06 m/s
 * d) 6.791E+06 m/s
 * e) 7.470E+06 m/s

6) An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 &mu;C charge that gets between the plates?


 * a) 3.977E-01 N
 * b) 4.374E-01 N
 * c) 4.812E-01 N
 * d) 5.293E-01 N
 * e) 5.822E-01 N

7) Assume that a 23 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 (13 cm, 18&deg;).


 * a) 1.024E+03 V
 * b) 1.126E+03 V
 * c) 1.239E+03 V
 * d) 1.363E+03 V
 * e) 1.499E+03 V

8) A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.032E+01 &mu;C
 * b) 1.135E+01 &mu;C
 * c) 1.249E+01 &mu;C
 * d) 1.374E+01 &mu;C
 * e) 1.511E+01 &mu;C

9) A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.85 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=3.18 cm, y=1.93 cm)? Note that following the textbook's example, the y-value of the field point at 1.93 cm matches the disance of the positive charge above the x-axis.


 * a) 3.866E+02 V
 * b) 4.253E+02 V
 * c) 4.678E+02 V
 * d) 5.146E+02 V
 * e) 5.661E+02 V

10) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x2 + y2 + z2 = R2, where R=


 * a) 1.107E+00 m
 * b) 1.218E+00 m
 * c) 1.339E+00 m
 * d) 1.473E+00 m
 * e) 1.621E+00 m

11) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?


 * a) 4.391E-01 mm
 * b) 5.049E-01 mm
 * c) 5.806E-01 mm
 * d) 6.677E-01 mm
 * e) 7.679E-01 mm

c07 U1
1) An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 &mu;C charge that gets between the plates?


 * a) 8.430E-01 N
 * b) 9.273E-01 N
 * c) 1.020E+00 N
 * d) 1.122E+00 N
 * e) 1.234E+00 N

2) A 8 C charge is separated from a 12 C charge by distance of 9 cm.  What is the work done by increasing this separation to 18 cm?


 * a) 3.274E-06 J
 * b) 3.601E-06 J
 * c) 3.961E-06 J
 * d) 4.358E-06 J
 * e) 4.793E-06 J

3) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?


 * a) 2.659E+18 electrons
 * b) 2.925E+18 electrons
 * c) 3.217E+18 electrons
 * d) 3.539E+18 electrons
 * e) 3.893E+18 electrons

4) A Van de Graff generator has a 95 cm diameter metal sphere that produces 187 kV near its surface. What  is the excess charge on the sphere?


 * a) 9.883E+00 &mu;C
 * b) 1.087E+01 &mu;C
 * c) 1.196E+01 &mu;C
 * d) 1.315E+01 &mu;C
 * e) 1.447E+01 &mu;C

5) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.280E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 70 V?


 * a) 8.514E-01 mm
 * b) 9.791E-01 mm
 * c) 1.126E+00 mm
 * d) 1.295E+00 mm
 * e) 1.489E+00 mm

6) 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

7) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=10 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 1.194E+02 J
 * b) 1.314E+02 J
 * c) 1.445E+02 J
 * d) 1.589E+02 J
 * e) 1.748E+02 J

8) 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

9) Assume that a 11 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 (12 cm, 14&deg;).


 * a) 1.876E+02 V
 * b) 2.063E+02 V
 * c) 2.270E+02 V
 * d) 2.497E+02 V
 * e) 2.746E+02 V

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 11 V.


 * a) 1.626E+06 m/s
 * b) 1.788E+06 m/s
 * c) 1.967E+06 m/s
 * d) 2.164E+06 m/s
 * e) 2.380E+06 m/s

11) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 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=3.86 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) 6.325E+02 V
 * b) 6.957E+02 V
 * c) 7.653E+02 V
 * d) 8.418E+02 V
 * e) 9.260E+02 V

c07 U2
1) 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

2) A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.07 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=3.88 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) 2.164E+02 V
 * b) 2.381E+02 V
 * c) 2.619E+02 V
 * d) 2.880E+02 V
 * e) 3.168E+02 V

3) When a 6.24 V battery operates a 2.1 W bulb, how many electrons pass through it each second?


 * a) 1.435E+18 electrons
 * b) 1.578E+18 electrons
 * c) 1.736E+18 electrons
 * d) 1.910E+18 electrons
 * e) 2.101E+18 electrons

4) A 5 C charge is separated from a 9 C charge by distance of 14 cm.  What is the work done by increasing this separation to 18 cm?


 * a) 4.385E-07 J
 * b) 4.823E-07 J
 * c) 5.306E-07 J
 * d) 5.836E-07 J
 * e) 6.420E-07 J

5) A 12.0 V battery can move 27,000 C of charge. How many Joules does it deliver?


 * a) 2.213E+05 J
 * b) 2.434E+05 J
 * c) 2.678E+05 J
 * d) 2.945E+05 J
 * e) 3.240E+05 J

6) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * a) 5.431E-01 mm
 * b) 6.245E-01 mm
 * c) 7.182E-01 mm
 * d) 8.260E-01 mm
 * e) 9.499E-01 mm

7) An electron gun has parallel plates separated by 3.39 cm and gives electrons 57 keV of energy. What force would the field between the plates exert on a 0.218 &mu;C charge that gets between the plates?


 * a) 3.029E-01 N
 * b) 3.332E-01 N
 * c) 3.665E-01 N
 * d) 4.032E-01 N
 * e) 4.435E-01 N

8) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * a) 4.638E+06 m/s
 * b) 5.102E+06 m/s
 * c) 5.612E+06 m/s
 * d) 6.173E+06 m/s
 * e) 6.791E+06 m/s

9) A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.032E+01 &mu;C
 * b) 1.135E+01 &mu;C
 * c) 1.249E+01 &mu;C
 * d) 1.374E+01 &mu;C
 * e) 1.511E+01 &mu;C

10) 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=3 &mu;C, q2=6 &mu;C, q3=9 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 7.789E+01 J
 * b) 8.568E+01 J
 * c) 9.425E+01 J
 * d) 1.037E+02 J
 * e) 1.140E+02 J

11) Assume that a 26 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, 42&deg;).


 * a) 7.263E+02 V
 * b) 7.989E+02 V
 * c) 8.788E+02 V
 * d) 9.667E+02 V
 * e) 1.063E+03 V

c07 V0
1) 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

2) 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

3) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?


 * a) 3.278E+05 J
 * b) 3.606E+05 J
 * c) 3.967E+05 J
 * d) 4.364E+05 J
 * e) 4.800E+05 J

4) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * a) 7.397E+17 electrons
 * b) 8.137E+17 electrons
 * c) 8.951E+17 electrons
 * d) 9.846E+17 electrons
 * e) 1.083E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * a) 3.617E+06 m/s
 * b) 3.979E+06 m/s
 * c) 4.376E+06 m/s
 * d) 4.814E+06 m/s
 * e) 5.296E+06 m/s

6) An electron gun has parallel plates separated by 4.85 cm and gives electrons 36 keV of energy. What force would the field between the plates exert on a 0.663 &mu;C charge that gets between the plates?


 * a) 3.697E-01 N
 * b) 4.067E-01 N
 * c) 4.474E-01 N
 * d) 4.921E-01 N
 * e) 5.413E-01 N

7) 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

8) A Van de Graff generator has a 72 cm diameter metal sphere that produces 285 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.038E+01 &mu;C
 * b) 1.142E+01 &mu;C
 * c) 1.256E+01 &mu;C
 * d) 1.381E+01 &mu;C
 * e) 1.519E+01 &mu;C

9) A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.39 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=3.56 cm, y=2.19 cm)? Note that following the textbook's example, the y-value of the field point at 2.19 cm matches the disance of the positive charge above the x-axis.


 * a) 3.852E+02 V
 * b) 4.238E+02 V
 * c) 4.661E+02 V
 * d) 5.127E+02 V
 * e) 5.640E+02 V

10) If a 28 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=77 V is x2 + y2 + z2 = R2, where R=


 * a) 2.701E+00 m
 * b) 2.971E+00 m
 * c) 3.268E+00 m
 * d) 3.595E+00 m
 * e) 3.955E+00 m

11) 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

c07 V1
1) 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  (9 cm, 0&deg;) and  P2 is at (12 cm, 15&deg;).


 * a) 4.244E+02 V
 * b) 4.669E+02 V
 * c) 5.135E+02 V
 * d) 5.649E+02 V
 * e) 6.214E+02 V

2) A 12.0 V battery can move 31,000 C of charge. How many Joules does it deliver?


 * a) 2.541E+05 J
 * b) 2.795E+05 J
 * c) 3.074E+05 J
 * d) 3.382E+05 J
 * e) 3.720E+05 J

3) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.444E+01 J
 * b) 3.789E+01 J
 * c) 4.168E+01 J
 * d) 4.585E+01 J
 * e) 5.043E+01 J

4) An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 &mu;C charge that gets between the plates?


 * a) 8.206E-01 N
 * b) 9.027E-01 N
 * c) 9.930E-01 N
 * d) 1.092E+00 N
 * e) 1.201E+00 N

5) When a 2.59 V battery operates a 2.89 W bulb, how many electrons pass through it each second?


 * a) 5.756E+18 electrons
 * b) 6.331E+18 electrons
 * c) 6.964E+18 electrons
 * d) 7.661E+18 electrons
 * e) 8.427E+18 electrons

6) If a 18 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=12 V is x2 + y2 + z2 = R2, where R=


 * a) 1.114E+01 m
 * b) 1.226E+01 m
 * c) 1.348E+01 m
 * d) 1.483E+01 m
 * e) 1.631E+01 m

7) A 7 C charge is separated from a 12 C charge by distance of 11 cm.  What is the work done by increasing this separation to 19 cm?


 * a) 2.890E-06 J
 * b) 3.179E-06 J
 * c) 3.497E-06 J
 * d) 3.846E-06 J
 * e) 4.231E-06 J

8) 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

9) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?


 * a) 4.723E-01 mm
 * b) 5.432E-01 mm
 * c) 6.246E-01 mm
 * d) 7.183E-01 mm
 * e) 8.261E-01 mm

10) A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 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=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.


 * a) 4.104E+02 V
 * b) 4.514E+02 V
 * c) 4.965E+02 V
 * d) 5.462E+02 V
 * e) 6.008E+02 V

11) 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

c07 V2
1) A 9 C charge is separated from a 16 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * a) 4.853E-06 J
 * b) 5.339E-06 J
 * c) 5.872E-06 J
 * d) 6.460E-06 J
 * e) 7.106E-06 J

2) 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

3) 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

4) When a 2.76 V battery operates a 2.71 W bulb, how many electrons pass through it each second?


 * a) 5.571E+18 electrons
 * b) 6.128E+18 electrons
 * c) 6.741E+18 electrons
 * d) 7.415E+18 electrons
 * e) 8.157E+18 electrons

5) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 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=3.51 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) 5.261E+02 V
 * b) 5.787E+02 V
 * c) 6.365E+02 V
 * d) 7.002E+02 V
 * e) 7.702E+02 V

6) Assume that a 25 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 (13 cm, 70&deg;).


 * a) 2.285E+03 V
 * b) 2.514E+03 V
 * c) 2.765E+03 V
 * d) 3.042E+03 V
 * e) 3.346E+03 V

7) 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

8) A 12.0 V battery can move 26,000 C of charge. How many Joules does it deliver?


 * a) 2.836E+05 J
 * b) 3.120E+05 J
 * c) 3.432E+05 J
 * d) 3.775E+05 J
 * e) 4.153E+05 J

9) A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.500E+01 &mu;C
 * b) 1.650E+01 &mu;C
 * c) 1.815E+01 &mu;C
 * d) 1.997E+01 &mu;C
 * e) 2.196E+01 &mu;C

10) 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

11) 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

c07 W0
1) 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

2) 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

3) A 12.0 V battery can move 32,000 C of charge. How many Joules does it deliver?


 * a) 2.885E+05 J
 * b) 3.174E+05 J
 * c) 3.491E+05 J
 * d) 3.840E+05 J
 * e) 4.224E+05 J

4) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?


 * a) 1.838E+18 electrons
 * b) 2.022E+18 electrons
 * c) 2.224E+18 electrons
 * d) 2.446E+18 electrons
 * e) 2.691E+18 electrons

5) 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

6) 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

7) Assume that a 3 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 (12 cm, 32&deg;).


 * a) 1.857E+02 V
 * b) 2.043E+02 V
 * c) 2.247E+02 V
 * d) 2.472E+02 V
 * e) 2.719E+02 V

8) A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.205E+01 &mu;C
 * b) 1.326E+01 &mu;C
 * c) 1.459E+01 &mu;C
 * d) 1.604E+01 &mu;C
 * e) 1.765E+01 &mu;C

9) A diploe has a charge magnitude of q=8 nC and a separation distance of d=3.55 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=3.43 cm, y=1.77 cm)? Note that following the textbook's example, the y-value of the field point at 1.77 cm matches the disance of the positive charge above the x-axis.


 * a) 5.796E+02 V
 * b) 6.375E+02 V
 * c) 7.013E+02 V
 * d) 7.714E+02 V
 * e) 8.486E+02 V

10) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=


 * a) 2.139E+00 m
 * b) 2.353E+00 m
 * c) 2.588E+00 m
 * d) 2.847E+00 m
 * e) 3.132E+00 m

11) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?


 * a) 3.799E-01 mm
 * b) 4.368E-01 mm
 * c) 5.024E-01 mm
 * d) 5.777E-01 mm
 * e) 6.644E-01 mm

c07 W1
1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 11 V.


 * a) 1.626E+06 m/s
 * b) 1.788E+06 m/s
 * c) 1.967E+06 m/s
 * d) 2.164E+06 m/s
 * e) 2.380E+06 m/s

2) 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

3) 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=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) 6.598E+01 J
 * b) 7.258E+01 J
 * c) 7.983E+01 J
 * d) 8.782E+01 J
 * e) 9.660E+01 J

4) 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

5) An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 &mu;C charge that gets between the plates?


 * a) 8.430E-01 N
 * b) 9.273E-01 N
 * c) 1.020E+00 N
 * d) 1.122E+00 N
 * e) 1.234E+00 N

6) 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

7) A Van de Graff generator has a 107 cm diameter metal sphere that produces 219 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.304E+01 &mu;C
 * b) 1.434E+01 &mu;C
 * c) 1.577E+01 &mu;C
 * d) 1.735E+01 &mu;C
 * e) 1.909E+01 &mu;C

8) A 3 C charge is separated from a 11 C charge by distance of 12 cm.  What is the work done by increasing this separation to 19 cm?


 * a) 8.278E-07 J
 * b) 9.106E-07 J
 * c) 1.002E-06 J
 * d) 1.102E-06 J
 * e) 1.212E-06 J

9) Assume that a 15 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 (14 cm, 77&deg;).


 * a) 1.184E+03 V
 * b) 1.302E+03 V
 * c) 1.432E+03 V
 * d) 1.576E+03 V
 * e) 1.733E+03 V

10) 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

11) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 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=3.86 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) 6.325E+02 V
 * b) 6.957E+02 V
 * c) 7.653E+02 V
 * d) 8.418E+02 V
 * e) 9.260E+02 V

c07 W2
1) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * a) 7.397E+17 electrons
 * b) 8.137E+17 electrons
 * c) 8.951E+17 electrons
 * d) 9.846E+17 electrons
 * e) 1.083E+18 electrons

2) A Van de Graff generator has a 105 cm diameter metal sphere that produces 210 kV near its surface. What  is the excess charge on the sphere?


 * a) 9.216E+00 &mu;C
 * b) 1.014E+01 &mu;C
 * c) 1.115E+01 &mu;C
 * d) 1.227E+01 &mu;C
 * e) 1.349E+01 &mu;C

3) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 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) 1.241E+02 J
 * b) 1.365E+02 J
 * c) 1.501E+02 J
 * d) 1.652E+02 J
 * e) 1.817E+02 J

4) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?


 * a) 4.200E+05 J
 * b) 4.620E+05 J
 * c) 5.082E+05 J
 * d) 5.590E+05 J
 * e) 6.149E+05 J

5) 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

6) Assume that a 11 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 (12 cm, 14&deg;).


 * a) 1.876E+02 V
 * b) 2.063E+02 V
 * c) 2.270E+02 V
 * d) 2.497E+02 V
 * e) 2.746E+02 V

7) 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

8) 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

9) 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

10) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?


 * a) 3.799E-01 mm
 * b) 4.368E-01 mm
 * c) 5.024E-01 mm
 * d) 5.777E-01 mm
 * e) 6.644E-01 mm

11) 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

c07 X0
1) A 8 C charge is separated from a 13 C charge by distance of 7 cm.  What is the work done by increasing this separation to 13 cm?


 * a) 4.209E-06 J
 * b) 4.630E-06 J
 * c) 5.093E-06 J
 * d) 5.603E-06 J
 * e) 6.163E-06 J

2) 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

3) 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

4) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * a) 7.397E+17 electrons
 * b) 8.137E+17 electrons
 * c) 8.951E+17 electrons
 * d) 9.846E+17 electrons
 * e) 1.083E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 6 V.


 * a) 1.091E+06 m/s
 * b) 1.201E+06 m/s
 * c) 1.321E+06 m/s
 * d) 1.453E+06 m/s
 * e) 1.598E+06 m/s

6) An electron gun has parallel plates separated by 4.24 cm and gives electrons 48 keV of energy. What force would the field between the plates exert on a 0.48 &mu;C charge that gets between the plates?


 * a) 5.434E-01 N
 * b) 5.977E-01 N
 * c) 6.575E-01 N
 * d) 7.233E-01 N
 * e) 7.956E-01 N

7) Assume that a 3 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 (12 cm, 32&deg;).


 * a) 1.857E+02 V
 * b) 2.043E+02 V
 * c) 2.247E+02 V
 * d) 2.472E+02 V
 * e) 2.719E+02 V

8) 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

9) 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

10) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x2 + y2 + z2 = R2, where R=


 * a) 1.422E+00 m
 * b) 1.564E+00 m
 * c) 1.720E+00 m
 * d) 1.892E+00 m
 * e) 2.081E+00 m

11) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?


 * a) 4.723E-01 mm
 * b) 5.432E-01 mm
 * c) 6.246E-01 mm
 * d) 7.183E-01 mm
 * e) 8.261E-01 mm

c07 X1
1) A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.500E+01 &mu;C
 * b) 1.650E+01 &mu;C
 * c) 1.815E+01 &mu;C
 * d) 1.997E+01 &mu;C
 * e) 2.196E+01 &mu;C

2) Two large parallel conducting plates are separated by 6.95 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 83 V?


 * a) 6.565E-01 mm
 * b) 7.550E-01 mm
 * c) 8.683E-01 mm
 * d) 9.985E-01 mm
 * e) 1.148E+00 mm

3) 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

4) 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

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * a) 4.638E+06 m/s
 * b) 5.102E+06 m/s
 * c) 5.612E+06 m/s
 * d) 6.173E+06 m/s
 * e) 6.791E+06 m/s

6) 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

7) 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

8) 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

9) An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 &mu;C charge that gets between the plates?


 * a) 3.977E-01 N
 * b) 4.374E-01 N
 * c) 4.812E-01 N
 * d) 5.293E-01 N
 * e) 5.822E-01 N

10) A 12.0 V battery can move 32,000 C of charge. How many Joules does it deliver?


 * a) 2.885E+05 J
 * b) 3.174E+05 J
 * c) 3.491E+05 J
 * d) 3.840E+05 J
 * e) 4.224E+05 J

11) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 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=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * a) 5.134E+02 V
 * b) 5.648E+02 V
 * c) 6.212E+02 V
 * d) 6.834E+02 V
 * e) 7.517E+02 V

c07 X2
1) Two large parallel conducting plates are separated by 6.67 mm. Equal and opposite surface charges of 7.080E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 60 V?


 * a) 6.525E-01 mm
 * b) 7.504E-01 mm
 * c) 8.629E-01 mm
 * d) 9.923E-01 mm
 * e) 1.141E+00 mm

2) 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

3) A Van de Graff generator has a 72 cm diameter metal sphere that produces 285 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.038E+01 &mu;C
 * b) 1.142E+01 &mu;C
 * c) 1.256E+01 &mu;C
 * d) 1.381E+01 &mu;C
 * e) 1.519E+01 &mu;C

4) 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

5) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=6 &mu;C, and q4=8 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 2.343E+01 J
 * b) 2.577E+01 J
 * c) 2.835E+01 J
 * d) 3.118E+01 J
 * e) 3.430E+01 J

6) 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

7) Assume that a 29 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 (12 cm, 77&deg;).


 * a) 1.483E+03 V
 * b) 1.632E+03 V
 * c) 1.795E+03 V
 * d) 1.975E+03 V
 * e) 2.172E+03 V

8) A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.85 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=3.18 cm, y=1.93 cm)? Note that following the textbook's example, the y-value of the field point at 1.93 cm matches the disance of the positive charge above the x-axis.


 * a) 3.866E+02 V
 * b) 4.253E+02 V
 * c) 4.678E+02 V
 * d) 5.146E+02 V
 * e) 5.661E+02 V

9) When a 6.32 V battery operates a 1.94 W bulb, how many electrons pass through it each second?


 * a) 1.439E+18 electrons
 * b) 1.583E+18 electrons
 * c) 1.742E+18 electrons
 * d) 1.916E+18 electrons
 * e) 2.107E+18 electrons

10) 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

11) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x2 + y2 + z2 = R2, where R=


 * a) 1.107E+00 m
 * b) 1.218E+00 m
 * c) 1.339E+00 m
 * d) 1.473E+00 m
 * e) 1.621E+00 m

c07 Y0
1) A 2 C charge is separated from a 6 C charge by distance of 13 cm.  What is the work done by increasing this separation to 16 cm?


 * a) 1.556E-07 J
 * b) 1.711E-07 J
 * c) 1.882E-07 J
 * d) 2.070E-07 J
 * e) 2.277E-07 J

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=6 &mu;C, and q4=8 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 2.343E+01 J
 * b) 2.577E+01 J
 * c) 2.835E+01 J
 * d) 3.118E+01 J
 * e) 3.430E+01 J

3) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?


 * a) 1.967E+05 J
 * b) 2.164E+05 J
 * c) 2.380E+05 J
 * d) 2.618E+05 J
 * e) 2.880E+05 J

4) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * a) 7.397E+17 electrons
 * b) 8.137E+17 electrons
 * c) 8.951E+17 electrons
 * d) 9.846E+17 electrons
 * e) 1.083E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 27 V.


 * a) 2.802E+06 m/s
 * b) 3.082E+06 m/s
 * c) 3.390E+06 m/s
 * d) 3.729E+06 m/s
 * e) 4.102E+06 m/s

6) An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 &mu;C charge that gets between the plates?


 * a) 8.430E-01 N
 * b) 9.273E-01 N
 * c) 1.020E+00 N
 * d) 1.122E+00 N
 * e) 1.234E+00 N

7) 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

8) 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

9) 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

10) 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

11) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.280E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 70 V?


 * a) 8.514E-01 mm
 * b) 9.791E-01 mm
 * c) 1.126E+00 mm
 * d) 1.295E+00 mm
 * e) 1.489E+00 mm

c07 Y1
1) Assume that a 26 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, 42&deg;).


 * a) 7.263E+02 V
 * b) 7.989E+02 V
 * c) 8.788E+02 V
 * d) 9.667E+02 V
 * e) 1.063E+03 V

2) 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

3) A Van de Graff generator has a 114 cm diameter metal sphere that produces 275 kV near its surface. What  is the excess charge on the sphere?


 * a) 1.744E+01 &mu;C
 * b) 1.918E+01 &mu;C
 * c) 2.110E+01 &mu;C
 * d) 2.321E+01 &mu;C
 * e) 2.554E+01 &mu;C

4) 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

5) 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

6) 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

7) An electron gun has parallel plates separated by 4.36 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.816 &mu;C charge that gets between the plates?


 * a) 2.212E-01 N
 * b) 2.433E-01 N
 * c) 2.676E-01 N
 * d) 2.944E-01 N
 * e) 3.238E-01 N

8) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 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=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * a) 5.134E+02 V
 * b) 5.648E+02 V
 * c) 6.212E+02 V
 * d) 6.834E+02 V
 * e) 7.517E+02 V

9) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?


 * a) 3.278E+05 J
 * b) 3.606E+05 J
 * c) 3.967E+05 J
 * d) 4.364E+05 J
 * e) 4.800E+05 J

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 6 V.


 * a) 1.091E+06 m/s
 * b) 1.201E+06 m/s
 * c) 1.321E+06 m/s
 * d) 1.453E+06 m/s
 * e) 1.598E+06 m/s

11) 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

c07 Y2
1) An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 &mu;C charge that gets between the plates?


 * a) 8.206E-01 N
 * b) 9.027E-01 N
 * c) 9.930E-01 N
 * d) 1.092E+00 N
 * e) 1.201E+00 N

2) 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

3) 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

4) A 2 C charge is separated from a 10 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * a) 6.128E-07 J
 * b) 6.741E-07 J
 * c) 7.415E-07 J
 * d) 8.156E-07 J
 * e) 8.972E-07 J

5) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=83 V is x2 + y2 + z2 = R2, where R=


 * a) 1.378E+00 m
 * b) 1.516E+00 m
 * c) 1.668E+00 m
 * d) 1.834E+00 m
 * e) 2.018E+00 m

6) Calculate the final speed of a free electron accelerated from rest through a potential difference of 81 V.


 * a) 4.411E+06 m/s
 * b) 4.853E+06 m/s
 * c) 5.338E+06 m/s
 * d) 5.872E+06 m/s
 * e) 6.459E+06 m/s

7) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 3.444E+01 J
 * b) 3.789E+01 J
 * c) 4.168E+01 J
 * d) 4.585E+01 J
 * e) 5.043E+01 J

8) Assume that a 24 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, 27&deg;).


 * a) 5.540E+02 V
 * b) 6.095E+02 V
 * c) 6.704E+02 V
 * d) 7.374E+02 V
 * e) 8.112E+02 V

9) A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.07 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=3.88 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) 2.164E+02 V
 * b) 2.381E+02 V
 * c) 2.619E+02 V
 * d) 2.880E+02 V
 * e) 3.168E+02 V

10) When a 5.65 V battery operates a 2.73 W bulb, how many electrons pass through it each second?


 * a) 3.016E+18 electrons
 * b) 3.317E+18 electrons
 * c) 3.649E+18 electrons
 * d) 4.014E+18 electrons
 * e) 4.415E+18 electrons

11) 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

c07 Z0
1) 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

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 4.235E+01 J
 * b) 4.659E+01 J
 * c) 5.125E+01 J
 * d) 5.637E+01 J
 * e) 6.201E+01 J

3) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?


 * a) 4.200E+05 J
 * b) 4.620E+05 J
 * c) 5.082E+05 J
 * d) 5.590E+05 J
 * e) 6.149E+05 J

4) 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

5) 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

6) An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 &mu;C charge that gets between the plates?


 * a) 3.977E-01 N
 * b) 4.374E-01 N
 * c) 4.812E-01 N
 * d) 5.293E-01 N
 * e) 5.822E-01 N

7) Assume that a 11 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 (12 cm, 14&deg;).


 * a) 1.876E+02 V
 * b) 2.063E+02 V
 * c) 2.270E+02 V
 * d) 2.497E+02 V
 * e) 2.746E+02 V

8) 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

9) A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 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=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.


 * a) 4.104E+02 V
 * b) 4.514E+02 V
 * c) 4.965E+02 V
 * d) 5.462E+02 V
 * e) 6.008E+02 V

10) 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

11) 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

c07 Z1
1) Assume that a 24 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, 27&deg;).


 * a) 5.540E+02 V
 * b) 6.095E+02 V
 * c) 6.704E+02 V
 * d) 7.374E+02 V
 * e) 8.112E+02 V

2) A Van de Graff generator has a 76 cm diameter metal sphere that produces 193 kV near its surface. What  is the excess charge on the sphere?


 * a) 7.418E+00 &mu;C
 * b) 8.160E+00 &mu;C
 * c) 8.976E+00 &mu;C
 * d) 9.874E+00 &mu;C
 * e) 1.086E+01 &mu;C

3) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 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=3.86 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) 6.325E+02 V
 * b) 6.957E+02 V
 * c) 7.653E+02 V
 * d) 8.418E+02 V
 * e) 9.260E+02 V

4) A 12.0 V battery can move 12,000 C of charge. How many Joules does it deliver?


 * a) 1.190E+05 J
 * b) 1.309E+05 J
 * c) 1.440E+05 J
 * d) 1.584E+05 J
 * e) 1.742E+05 J

5) 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

6) 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

7) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * a) 7.397E+17 electrons
 * b) 8.137E+17 electrons
 * c) 8.951E+17 electrons
 * d) 9.846E+17 electrons
 * e) 1.083E+18 electrons

8) 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=5 &mu;C, q3=6 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * a) 2.617E+01 J
 * b) 2.879E+01 J
 * c) 3.167E+01 J
 * d) 3.484E+01 J
 * e) 3.832E+01 J

9) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?


 * a) 4.391E-01 mm
 * b) 5.049E-01 mm
 * c) 5.806E-01 mm
 * d) 6.677E-01 mm
 * e) 7.679E-01 mm

10) 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

11) 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

c07 Z2
1) 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

2) A 7 C charge is separated from a 15 C charge by distance of 14 cm.  What is the work done by increasing this separation to 20 cm?


 * a) 1.519E-06 J
 * b) 1.671E-06 J
 * c) 1.838E-06 J
 * d) 2.022E-06 J
 * e) 2.224E-06 J

3) Assume that a 29 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 (12 cm, 77&deg;).


 * a) 1.483E+03 V
 * b) 1.632E+03 V
 * c) 1.795E+03 V
 * d) 1.975E+03 V
 * e) 2.172E+03 V

4) 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

5) A 12.0 V battery can move 29,000 C of charge. How many Joules does it deliver?


 * a) 2.615E+05 J
 * b) 2.876E+05 J
 * c) 3.164E+05 J
 * d) 3.480E+05 J
 * e) 3.828E+05 J

6) 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

7) 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

8) Calculate the final speed of a free electron accelerated from rest through a potential difference of 11 V.


 * a) 1.626E+06 m/s
 * b) 1.788E+06 m/s
 * c) 1.967E+06 m/s
 * d) 2.164E+06 m/s
 * e) 2.380E+06 m/s

9) If a 29 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=81 V is x2 + y2 + z2 = R2, where R=


 * a) 3.218E+00 m
 * b) 3.540E+00 m
 * c) 3.893E+00 m
 * d) 4.283E+00 m
 * e) 4.711E+00 m

10) A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What  is the excess charge on the sphere?


 * a) 9.129E+00 &mu;C
 * b) 1.004E+01 &mu;C
 * c) 1.105E+01 &mu;C
 * d) 1.215E+01 &mu;C
 * e) 1.337E+01 &mu;C

11) 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


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Key: A0
1) A 9 C charge is separated from a 16 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * +a) 4.853E-06 J
 * -b) 5.339E-06 J
 * -c) 5.872E-06 J
 * -d) 6.460E-06 J
 * -e) 7.106E-06 J

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=6 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.819E+01 J
 * -b) 4.201E+01 J
 * +c) 4.621E+01 J
 * -d) 5.083E+01 J
 * -e) 5.591E+01 J

3) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?


 * -a) 3.570E+05 J
 * -b) 3.927E+05 J
 * +c) 4.320E+05 J
 * -d) 4.752E+05 J
 * -e) 5.227E+05 J

4) When a 3.63 V battery operates a 1.34 W bulb, how many electrons pass through it each second?


 * -a) 2.095E+18 electrons
 * +b) 2.304E+18 electrons
 * -c) 2.534E+18 electrons
 * -d) 2.788E+18 electrons
 * -e) 3.067E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * -a) 3.031E+06 m/s
 * -b) 3.335E+06 m/s
 * -c) 3.668E+06 m/s
 * -d) 4.035E+06 m/s
 * +e) 4.438E+06 m/s

6) An electron gun has parallel plates separated by 4.85 cm and gives electrons 36 keV of energy. What force would the field between the plates exert on a 0.663 &mu;C charge that gets between the plates?


 * -a) 3.697E-01 N
 * -b) 4.067E-01 N
 * -c) 4.474E-01 N
 * +d) 4.921E-01 N
 * -e) 5.413E-01 N

7) 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  (8 cm, 0&deg;) and  P2 is at (14 cm, 34&deg;).


 * -a) 2.626E+02 V
 * +b) 2.889E+02 V
 * -c) 3.178E+02 V
 * -d) 3.496E+02 V
 * -e) 3.845E+02 V

8) 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

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 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=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.645E+02 V
 * +b) 6.210E+02 V
 * -c) 6.831E+02 V
 * -d) 7.514E+02 V
 * -e) 8.266E+02 V

10) If a 13 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=84 V is x2 + y2 + z2 = R2, where R=


 * +a) 1.391E+00 m
 * -b) 1.530E+00 m
 * -c) 1.683E+00 m
 * -d) 1.851E+00 m
 * -e) 2.036E+00 m

11) 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

Key: A1
1) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * -a) 1.749E+18 electrons
 * -b) 1.924E+18 electrons
 * -c) 2.117E+18 electrons
 * +d) 2.328E+18 electrons
 * -e) 2.561E+18 electrons

2) A 5 C charge is separated from a 9 C charge by distance of 14 cm.  What is the work done by increasing this separation to 18 cm?


 * -a) 4.385E-07 J
 * -b) 4.823E-07 J
 * -c) 5.306E-07 J
 * -d) 5.836E-07 J
 * +e) 6.420E-07 J

3) 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

4) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * -a) 3.617E+06 m/s
 * +b) 3.979E+06 m/s
 * -c) 4.376E+06 m/s
 * -d) 4.814E+06 m/s
 * -e) 5.296E+06 m/s

5) 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=5 &mu;C, q3=6 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 2.617E+01 J
 * -b) 2.879E+01 J
 * -c) 3.167E+01 J
 * -d) 3.484E+01 J
 * +e) 3.832E+01 J

6) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?


 * +a) 4.200E+05 J
 * -b) 4.620E+05 J
 * -c) 5.082E+05 J
 * -d) 5.590E+05 J
 * -e) 6.149E+05 J

7) Two large parallel conducting plates are separated by 7.83 mm. Equal and opposite surface charges of 7.530E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 86 V?


 * -a) 8.793E-01 mm
 * +b) 1.011E+00 mm
 * -c) 1.163E+00 mm
 * -d) 1.337E+00 mm
 * -e) 1.538E+00 mm

8) If a 18 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=12 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.114E+01 m
 * -b) 1.226E+01 m
 * +c) 1.348E+01 m
 * -d) 1.483E+01 m
 * -e) 1.631E+01 m

9) Assume that a 26 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, 42&deg;).


 * -a) 7.263E+02 V
 * +b) 7.989E+02 V
 * -c) 8.788E+02 V
 * -d) 9.667E+02 V
 * -e) 1.063E+03 V

10) A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What  is the excess charge on the sphere?


 * -a) 9.129E+00 &mu;C
 * +b) 1.004E+01 &mu;C
 * -c) 1.105E+01 &mu;C
 * -d) 1.215E+01 &mu;C
 * -e) 1.337E+01 &mu;C

11) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 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=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.645E+02 V
 * +b) 6.210E+02 V
 * -c) 6.831E+02 V
 * -d) 7.514E+02 V
 * -e) 8.266E+02 V

Key: A2
1) 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

2) 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

3) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=10 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 1.194E+02 J
 * -b) 1.314E+02 J
 * -c) 1.445E+02 J
 * +d) 1.589E+02 J
 * -e) 1.748E+02 J

4) 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

5) When a 6.03 V battery operates a 1.56 W bulb, how many electrons pass through it each second?


 * +a) 1.615E+18 electrons
 * -b) 1.776E+18 electrons
 * -c) 1.954E+18 electrons
 * -d) 2.149E+18 electrons
 * -e) 2.364E+18 electrons

6) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?


 * +a) 9.521E-01 mm
 * -b) 1.095E+00 mm
 * -c) 1.259E+00 mm
 * -d) 1.448E+00 mm
 * -e) 1.665E+00 mm

7) If a 18 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=12 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.114E+01 m
 * -b) 1.226E+01 m
 * +c) 1.348E+01 m
 * -d) 1.483E+01 m
 * -e) 1.631E+01 m

8) 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

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * -a) 3.031E+06 m/s
 * -b) 3.335E+06 m/s
 * -c) 3.668E+06 m/s
 * -d) 4.035E+06 m/s
 * +e) 4.438E+06 m/s

10) 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

11) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 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=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.134E+02 V
 * -b) 5.648E+02 V
 * -c) 6.212E+02 V
 * -d) 6.834E+02 V
 * +e) 7.517E+02 V

Key: B0
1) 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

2) 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

3) 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

4) When a 3.63 V battery operates a 1.34 W bulb, how many electrons pass through it each second?


 * -a) 2.095E+18 electrons
 * +b) 2.304E+18 electrons
 * -c) 2.534E+18 electrons
 * -d) 2.788E+18 electrons
 * -e) 3.067E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * -a) 3.031E+06 m/s
 * -b) 3.335E+06 m/s
 * -c) 3.668E+06 m/s
 * -d) 4.035E+06 m/s
 * +e) 4.438E+06 m/s

6) An electron gun has parallel plates separated by 2.36 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.45 &mu;C charge that gets between the plates?


 * -a) 7.033E-01 N
 * -b) 7.736E-01 N
 * -c) 8.510E-01 N
 * -d) 9.361E-01 N
 * +e) 1.030E+00 N

7) 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  (9 cm, 0&deg;) and  P2 is at (12 cm, 15&deg;).


 * +a) 4.244E+02 V
 * -b) 4.669E+02 V
 * -c) 5.135E+02 V
 * -d) 5.649E+02 V
 * -e) 6.214E+02 V

8) A Van de Graff generator has a 114 cm diameter metal sphere that produces 275 kV near its surface. What  is the excess charge on the sphere?


 * +a) 1.744E+01 &mu;C
 * -b) 1.918E+01 &mu;C
 * -c) 2.110E+01 &mu;C
 * -d) 2.321E+01 &mu;C
 * -e) 2.554E+01 &mu;C

9) 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

10) If a 29 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=81 V is x2 + y2 + z2 = R2, where R=


 * +a) 3.218E+00 m
 * -b) 3.540E+00 m
 * -c) 3.893E+00 m
 * -d) 4.283E+00 m
 * -e) 4.711E+00 m

11) 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

Key: B1
1) 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

2) Two large parallel conducting plates are separated by 6.86 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 79 V?


 * -a) 6.100E-01 mm
 * -b) 7.015E-01 mm
 * -c) 8.067E-01 mm
 * +d) 9.277E-01 mm
 * -e) 1.067E+00 mm

3) 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

4) 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

5) A 7 C charge is separated from a 11 C charge by distance of 11 cm.  What is the work done by increasing this separation to 19 cm?


 * -a) 2.408E-06 J
 * +b) 2.649E-06 J
 * -c) 2.914E-06 J
 * -d) 3.205E-06 J
 * -e) 3.526E-06 J

6) When a 4.91 V battery operates a 1.43 W bulb, how many electrons pass through it each second?


 * -a) 1.242E+18 electrons
 * -b) 1.366E+18 electrons
 * -c) 1.502E+18 electrons
 * -d) 1.653E+18 electrons
 * +e) 1.818E+18 electrons

7) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * -a) 3.288E+06 m/s
 * -b) 3.617E+06 m/s
 * +c) 3.979E+06 m/s
 * -d) 4.376E+06 m/s
 * -e) 4.814E+06 m/s

8) 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

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 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=3.51 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) 5.261E+02 V
 * -b) 5.787E+02 V
 * +c) 6.365E+02 V
 * -d) 7.002E+02 V
 * -e) 7.702E+02 V

10) A 12.0 V battery can move 12,000 C of charge. How many Joules does it deliver?


 * -a) 1.190E+05 J
 * -b) 1.309E+05 J
 * +c) 1.440E+05 J
 * -d) 1.584E+05 J
 * -e) 1.742E+05 J

11) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 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) 1.241E+02 J
 * -b) 1.365E+02 J
 * -c) 1.501E+02 J
 * -d) 1.652E+02 J
 * -e) 1.817E+02 J

Key: B2
1) 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=5 &mu;C, q3=6 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 2.617E+01 J
 * -b) 2.879E+01 J
 * -c) 3.167E+01 J
 * -d) 3.484E+01 J
 * +e) 3.832E+01 J

2) 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

3) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?


 * -a) 1.967E+05 J
 * -b) 2.164E+05 J
 * -c) 2.380E+05 J
 * -d) 2.618E+05 J
 * +e) 2.880E+05 J

4) Calculate the final speed of a free electron accelerated from rest through a potential difference of 30 V.


 * -a) 2.441E+06 m/s
 * -b) 2.685E+06 m/s
 * -c) 2.953E+06 m/s
 * +d) 3.249E+06 m/s
 * -e) 3.573E+06 m/s

5) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * -a) 5.431E-01 mm
 * -b) 6.245E-01 mm
 * +c) 7.182E-01 mm
 * -d) 8.260E-01 mm
 * -e) 9.499E-01 mm

6) 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

7) 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

8) When a 3.63 V battery operates a 1.34 W bulb, how many electrons pass through it each second?


 * -a) 2.095E+18 electrons
 * +b) 2.304E+18 electrons
 * -c) 2.534E+18 electrons
 * -d) 2.788E+18 electrons
 * -e) 3.067E+18 electrons

9) A Van de Graff generator has a 105 cm diameter metal sphere that produces 210 kV near its surface. What  is the excess charge on the sphere?


 * -a) 9.216E+00 &mu;C
 * -b) 1.014E+01 &mu;C
 * -c) 1.115E+01 &mu;C
 * +d) 1.227E+01 &mu;C
 * -e) 1.349E+01 &mu;C

10) 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

11) 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

Key: C0
1) A 7 C charge is separated from a 12 C charge by distance of 11 cm.  What is the work done by increasing this separation to 19 cm?


 * +a) 2.890E-06 J
 * -b) 3.179E-06 J
 * -c) 3.497E-06 J
 * -d) 3.846E-06 J
 * -e) 4.231E-06 J

2) 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=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) 6.598E+01 J
 * -b) 7.258E+01 J
 * -c) 7.983E+01 J
 * +d) 8.782E+01 J
 * -e) 9.660E+01 J

3) A 12.0 V battery can move 30,000 C of charge. How many Joules does it deliver?


 * -a) 3.273E+05 J
 * +b) 3.600E+05 J
 * -c) 3.960E+05 J
 * -d) 4.356E+05 J
 * -e) 4.792E+05 J

4) 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

5) 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

6) 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

7) Assume that a 29 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 (12 cm, 77&deg;).


 * -a) 1.483E+03 V
 * -b) 1.632E+03 V
 * -c) 1.795E+03 V
 * -d) 1.975E+03 V
 * +e) 2.172E+03 V

8) 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

9) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 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=3.86 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) 6.325E+02 V
 * +b) 6.957E+02 V
 * -c) 7.653E+02 V
 * -d) 8.418E+02 V
 * -e) 9.260E+02 V

10) 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

11) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?


 * +a) 9.521E-01 mm
 * -b) 1.095E+00 mm
 * -c) 1.259E+00 mm
 * -d) 1.448E+00 mm
 * -e) 1.665E+00 mm

Key: C1
1) Two large parallel conducting plates are separated by 8.7 mm. Equal and opposite surface charges of 7.220E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 67 V?


 * -a) 4.698E-01 mm
 * -b) 5.402E-01 mm
 * -c) 6.213E-01 mm
 * -d) 7.145E-01 mm
 * +e) 8.216E-01 mm

2) A 12.0 V battery can move 12,000 C of charge. How many Joules does it deliver?


 * -a) 1.190E+05 J
 * -b) 1.309E+05 J
 * +c) 1.440E+05 J
 * -d) 1.584E+05 J
 * -e) 1.742E+05 J

3) A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 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=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.


 * -a) 4.590E+02 V
 * -b) 5.049E+02 V
 * -c) 5.554E+02 V
 * +d) 6.109E+02 V
 * -e) 6.720E+02 V

4) An electron gun has parallel plates separated by 4.36 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.816 &mu;C charge that gets between the plates?


 * -a) 2.212E-01 N
 * +b) 2.433E-01 N
 * -c) 2.676E-01 N
 * -d) 2.944E-01 N
 * -e) 3.238E-01 N

5) 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

6) 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

7) A Van de Graff generator has a 107 cm diameter metal sphere that produces 219 kV near its surface. What  is the excess charge on the sphere?


 * +a) 1.304E+01 &mu;C
 * -b) 1.434E+01 &mu;C
 * -c) 1.577E+01 &mu;C
 * -d) 1.735E+01 &mu;C
 * -e) 1.909E+01 &mu;C

8) Assume that a 16 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 (14 cm, 27&deg;).


 * -a) 9.354E+02 V
 * -b) 1.029E+03 V
 * -c) 1.132E+03 V
 * -d) 1.245E+03 V
 * +e) 1.370E+03 V

9) When a 2.76 V battery operates a 2.71 W bulb, how many electrons pass through it each second?


 * -a) 5.571E+18 electrons
 * +b) 6.128E+18 electrons
 * -c) 6.741E+18 electrons
 * -d) 7.415E+18 electrons
 * -e) 8.157E+18 electrons

10) If a 13 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=84 V is x2 + y2 + z2 = R2, where R=


 * +a) 1.391E+00 m
 * -b) 1.530E+00 m
 * -c) 1.683E+00 m
 * -d) 1.851E+00 m
 * -e) 2.036E+00 m

11) A 2 C charge is separated from a 6 C charge by distance of 13 cm.  What is the work done by increasing this separation to 16 cm?


 * +a) 1.556E-07 J
 * -b) 1.711E-07 J
 * -c) 1.882E-07 J
 * -d) 2.070E-07 J
 * -e) 2.277E-07 J

Key: C2
1) 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

2) A diploe has a charge magnitude of q=4 nC and a separation distance of d=3.79 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=3.2 cm, y=1.9 cm)? Note that following the textbook's example, the y-value of the field point at 1.9 cm matches the disance of the positive charge above the x-axis.


 * -a) 2.731E+02 V
 * -b) 3.004E+02 V
 * -c) 3.304E+02 V
 * -d) 3.634E+02 V
 * +e) 3.998E+02 V

3) 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

4) 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

5) Assume that a 25 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 (13 cm, 70&deg;).


 * -a) 2.285E+03 V
 * -b) 2.514E+03 V
 * +c) 2.765E+03 V
 * -d) 3.042E+03 V
 * -e) 3.346E+03 V

6) Two large parallel conducting plates are separated by 6.86 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 79 V?


 * -a) 6.100E-01 mm
 * -b) 7.015E-01 mm
 * -c) 8.067E-01 mm
 * +d) 9.277E-01 mm
 * -e) 1.067E+00 mm

7) 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

8) A Van de Graff generator has a 124 cm diameter metal sphere that produces 270 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.539E+01 &mu;C
 * -b) 1.693E+01 &mu;C
 * +c) 1.863E+01 &mu;C
 * -d) 2.049E+01 &mu;C
 * -e) 2.254E+01 &mu;C

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 46 V.


 * -a) 3.022E+06 m/s
 * -b) 3.324E+06 m/s
 * -c) 3.657E+06 m/s
 * +d) 4.023E+06 m/s
 * -e) 4.425E+06 m/s

10) 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

11) 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

Key: D0
1) 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

2) 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

3) A 12.0 V battery can move 30,000 C of charge. How many Joules does it deliver?


 * -a) 3.273E+05 J
 * +b) 3.600E+05 J
 * -c) 3.960E+05 J
 * -d) 4.356E+05 J
 * -e) 4.792E+05 J

4) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?


 * -a) 2.659E+18 electrons
 * -b) 2.925E+18 electrons
 * +c) 3.217E+18 electrons
 * -d) 3.539E+18 electrons
 * -e) 3.893E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 69 V.


 * -a) 3.365E+06 m/s
 * -b) 3.701E+06 m/s
 * -c) 4.072E+06 m/s
 * -d) 4.479E+06 m/s
 * +e) 4.927E+06 m/s

6) An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 &mu;C charge that gets between the plates?


 * -a) 8.206E-01 N
 * +b) 9.027E-01 N
 * -c) 9.930E-01 N
 * -d) 1.092E+00 N
 * -e) 1.201E+00 N

7) 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

8) A Van de Graff generator has a 72 cm diameter metal sphere that produces 285 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.038E+01 &mu;C
 * +b) 1.142E+01 &mu;C
 * -c) 1.256E+01 &mu;C
 * -d) 1.381E+01 &mu;C
 * -e) 1.519E+01 &mu;C

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 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=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.645E+02 V
 * +b) 6.210E+02 V
 * -c) 6.831E+02 V
 * -d) 7.514E+02 V
 * -e) 8.266E+02 V

10) 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

11) Two large parallel conducting plates are separated by 7.83 mm. Equal and opposite surface charges of 7.530E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 86 V?


 * -a) 8.793E-01 mm
 * +b) 1.011E+00 mm
 * -c) 1.163E+00 mm
 * -d) 1.337E+00 mm
 * -e) 1.538E+00 mm

Key: D1
1) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.422E+00 m
 * -b) 1.564E+00 m
 * -c) 1.720E+00 m
 * +d) 1.892E+00 m
 * -e) 2.081E+00 m

2) When a 6.24 V battery operates a 2.1 W bulb, how many electrons pass through it each second?


 * -a) 1.435E+18 electrons
 * -b) 1.578E+18 electrons
 * -c) 1.736E+18 electrons
 * -d) 1.910E+18 electrons
 * +e) 2.101E+18 electrons

3) A 12.0 V battery can move 27,000 C of charge. How many Joules does it deliver?


 * -a) 2.213E+05 J
 * -b) 2.434E+05 J
 * -c) 2.678E+05 J
 * -d) 2.945E+05 J
 * +e) 3.240E+05 J

4) 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  (9 cm, 0&deg;) and  P2 is at (12 cm, 15&deg;).


 * +a) 4.244E+02 V
 * -b) 4.669E+02 V
 * -c) 5.135E+02 V
 * -d) 5.649E+02 V
 * -e) 6.214E+02 V

5) A 4 C charge is separated from a 9 C charge by distance of 9 cm.  What is the work done by increasing this separation to 14 cm?


 * -a) 8.769E-07 J
 * -b) 9.646E-07 J
 * -c) 1.061E-06 J
 * -d) 1.167E-06 J
 * +e) 1.284E-06 J

6) 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

7) An electron gun has parallel plates separated by 2.36 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.45 &mu;C charge that gets between the plates?


 * -a) 7.033E-01 N
 * -b) 7.736E-01 N
 * -c) 8.510E-01 N
 * -d) 9.361E-01 N
 * +e) 1.030E+00 N

8) A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.500E+01 &mu;C
 * -b) 1.650E+01 &mu;C
 * -c) 1.815E+01 &mu;C
 * -d) 1.997E+01 &mu;C
 * +e) 2.196E+01 &mu;C

9) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * -a) 5.431E-01 mm
 * -b) 6.245E-01 mm
 * +c) 7.182E-01 mm
 * -d) 8.260E-01 mm
 * -e) 9.499E-01 mm

10) 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

11) 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

Key: D2
1) Two large parallel conducting plates are separated by 7.83 mm. Equal and opposite surface charges of 7.530E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 86 V?


 * -a) 8.793E-01 mm
 * +b) 1.011E+00 mm
 * -c) 1.163E+00 mm
 * -d) 1.337E+00 mm
 * -e) 1.538E+00 mm

2) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?


 * -a) 1.967E+05 J
 * -b) 2.164E+05 J
 * -c) 2.380E+05 J
 * -d) 2.618E+05 J
 * +e) 2.880E+05 J

3) 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

4) A Van de Graff generator has a 119 cm diameter metal sphere that produces 248 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.234E+01 &mu;C
 * -b) 1.357E+01 &mu;C
 * -c) 1.493E+01 &mu;C
 * +d) 1.642E+01 &mu;C
 * -e) 1.806E+01 &mu;C

5) A 8 C charge is separated from a 13 C charge by distance of 7 cm.  What is the work done by increasing this separation to 13 cm?


 * -a) 4.209E-06 J
 * -b) 4.630E-06 J
 * -c) 5.093E-06 J
 * -d) 5.603E-06 J
 * +e) 6.163E-06 J

6) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * -a) 1.749E+18 electrons
 * -b) 1.924E+18 electrons
 * -c) 2.117E+18 electrons
 * +d) 2.328E+18 electrons
 * -e) 2.561E+18 electrons

7) Assume that a 29 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 (12 cm, 77&deg;).


 * -a) 1.483E+03 V
 * -b) 1.632E+03 V
 * -c) 1.795E+03 V
 * -d) 1.975E+03 V
 * +e) 2.172E+03 V

8) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=6 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.819E+01 J
 * -b) 4.201E+01 J
 * +c) 4.621E+01 J
 * -d) 5.083E+01 J
 * -e) 5.591E+01 J

9) If a 13 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=84 V is x2 + y2 + z2 = R2, where R=


 * +a) 1.391E+00 m
 * -b) 1.530E+00 m
 * -c) 1.683E+00 m
 * -d) 1.851E+00 m
 * -e) 2.036E+00 m

10) 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

11) 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

Key: E0
1) 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

2) 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=5 &mu;C, q3=6 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 2.617E+01 J
 * -b) 2.879E+01 J
 * -c) 3.167E+01 J
 * -d) 3.484E+01 J
 * +e) 3.832E+01 J

3) A 12.0 V battery can move 12,000 C of charge. How many Joules does it deliver?


 * -a) 1.190E+05 J
 * -b) 1.309E+05 J
 * +c) 1.440E+05 J
 * -d) 1.584E+05 J
 * -e) 1.742E+05 J

4) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?


 * -a) 2.659E+18 electrons
 * -b) 2.925E+18 electrons
 * +c) 3.217E+18 electrons
 * -d) 3.539E+18 electrons
 * -e) 3.893E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.


 * -a) 1.942E+06 m/s
 * -b) 2.137E+06 m/s
 * -c) 2.350E+06 m/s
 * +d) 2.585E+06 m/s
 * -e) 2.844E+06 m/s

6) An electron gun has parallel plates separated by 5.02 cm and gives electrons 16 keV of energy. What force would the field between the plates exert on a 0.609 &mu;C charge that gets between the plates?


 * -a) 1.604E-01 N
 * -b) 1.765E-01 N
 * +c) 1.941E-01 N
 * -d) 2.135E-01 N
 * -e) 2.349E-01 N

7) 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

8) A Van de Graff generator has a 119 cm diameter metal sphere that produces 248 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.234E+01 &mu;C
 * -b) 1.357E+01 &mu;C
 * -c) 1.493E+01 &mu;C
 * +d) 1.642E+01 &mu;C
 * -e) 1.806E+01 &mu;C

9) 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

10) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.422E+00 m
 * -b) 1.564E+00 m
 * -c) 1.720E+00 m
 * +d) 1.892E+00 m
 * -e) 2.081E+00 m

11) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?


 * +a) 9.521E-01 mm
 * -b) 1.095E+00 mm
 * -c) 1.259E+00 mm
 * -d) 1.448E+00 mm
 * -e) 1.665E+00 mm

Key: E1
1) A Van de Graff generator has a 76 cm diameter metal sphere that produces 193 kV near its surface. What  is the excess charge on the sphere?


 * -a) 7.418E+00 &mu;C
 * +b) 8.160E+00 &mu;C
 * -c) 8.976E+00 &mu;C
 * -d) 9.874E+00 &mu;C
 * -e) 1.086E+01 &mu;C

2) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 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=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.134E+02 V
 * -b) 5.648E+02 V
 * -c) 6.212E+02 V
 * -d) 6.834E+02 V
 * +e) 7.517E+02 V

3) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * -a) 7.397E+17 electrons
 * -b) 8.137E+17 electrons
 * -c) 8.951E+17 electrons
 * -d) 9.846E+17 electrons
 * +e) 1.083E+18 electrons

4) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?


 * -a) 3.799E-01 mm
 * -b) 4.368E-01 mm
 * -c) 5.024E-01 mm
 * -d) 5.777E-01 mm
 * +e) 6.644E-01 mm

5) 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

6) 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

7) 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  (8 cm, 0&deg;) and  P2 is at (14 cm, 34&deg;).


 * -a) 2.626E+02 V
 * +b) 2.889E+02 V
 * -c) 3.178E+02 V
 * -d) 3.496E+02 V
 * -e) 3.845E+02 V

8) A 3 C charge is separated from a 11 C charge by distance of 12 cm.  What is the work done by increasing this separation to 19 cm?


 * -a) 8.278E-07 J
 * +b) 9.106E-07 J
 * -c) 1.002E-06 J
 * -d) 1.102E-06 J
 * -e) 1.212E-06 J

9) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=6 &mu;C, and q4=8 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 2.343E+01 J
 * +b) 2.577E+01 J
 * -c) 2.835E+01 J
 * -d) 3.118E+01 J
 * -e) 3.430E+01 J

10) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=83 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.378E+00 m
 * +b) 1.516E+00 m
 * -c) 1.668E+00 m
 * -d) 1.834E+00 m
 * -e) 2.018E+00 m

11) 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

Key: E2
1) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.280E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 70 V?


 * +a) 8.514E-01 mm
 * -b) 9.791E-01 mm
 * -c) 1.126E+00 mm
 * -d) 1.295E+00 mm
 * -e) 1.489E+00 mm

2) 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

3) A 2 C charge is separated from a 10 C charge by distance of 8 cm.  What is the work done by increasing this separation to 14 cm?


 * -a) 8.754E-07 J
 * +b) 9.630E-07 J
 * -c) 1.059E-06 J
 * -d) 1.165E-06 J
 * -e) 1.282E-06 J

4) 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

5) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=43 V is x2 + y2 + z2 = R2, where R=


 * +a) 2.299E+00 m
 * -b) 2.529E+00 m
 * -c) 2.782E+00 m
 * -d) 3.060E+00 m
 * -e) 3.366E+00 m

6) 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

7) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * -a) 3.617E+06 m/s
 * +b) 3.979E+06 m/s
 * -c) 4.376E+06 m/s
 * -d) 4.814E+06 m/s
 * -e) 5.296E+06 m/s

8) A 12.0 V battery can move 32,000 C of charge. How many Joules does it deliver?


 * -a) 2.885E+05 J
 * -b) 3.174E+05 J
 * -c) 3.491E+05 J
 * +d) 3.840E+05 J
 * -e) 4.224E+05 J

9) When a 2.76 V battery operates a 2.71 W bulb, how many electrons pass through it each second?


 * -a) 5.571E+18 electrons
 * +b) 6.128E+18 electrons
 * -c) 6.741E+18 electrons
 * -d) 7.415E+18 electrons
 * -e) 8.157E+18 electrons

10) 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

11) A diploe has a charge magnitude of q=4 nC and a separation distance of d=3.79 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=3.2 cm, y=1.9 cm)? Note that following the textbook's example, the y-value of the field point at 1.9 cm matches the disance of the positive charge above the x-axis.


 * -a) 2.731E+02 V
 * -b) 3.004E+02 V
 * -c) 3.304E+02 V
 * -d) 3.634E+02 V
 * +e) 3.998E+02 V

Key: F0
1) A 9 C charge is separated from a 16 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * +a) 4.853E-06 J
 * -b) 5.339E-06 J
 * -c) 5.872E-06 J
 * -d) 6.460E-06 J
 * -e) 7.106E-06 J

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.444E+01 J
 * -b) 3.789E+01 J
 * +c) 4.168E+01 J
 * -d) 4.585E+01 J
 * -e) 5.043E+01 J

3) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?


 * +a) 4.200E+05 J
 * -b) 4.620E+05 J
 * -c) 5.082E+05 J
 * -d) 5.590E+05 J
 * -e) 6.149E+05 J

4) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * -a) 1.749E+18 electrons
 * -b) 1.924E+18 electrons
 * -c) 2.117E+18 electrons
 * +d) 2.328E+18 electrons
 * -e) 2.561E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 83 V.


 * -a) 4.466E+06 m/s
 * -b) 4.912E+06 m/s
 * +c) 5.403E+06 m/s
 * -d) 5.944E+06 m/s
 * -e) 6.538E+06 m/s

6) An electron gun has parallel plates separated by 4.24 cm and gives electrons 48 keV of energy. What force would the field between the plates exert on a 0.48 &mu;C charge that gets between the plates?


 * +a) 5.434E-01 N
 * -b) 5.977E-01 N
 * -c) 6.575E-01 N
 * -d) 7.233E-01 N
 * -e) 7.956E-01 N

7) Assume that a 24 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, 27&deg;).


 * -a) 5.540E+02 V
 * -b) 6.095E+02 V
 * -c) 6.704E+02 V
 * +d) 7.374E+02 V
 * -e) 8.112E+02 V

8) A Van de Graff generator has a 119 cm diameter metal sphere that produces 248 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.234E+01 &mu;C
 * -b) 1.357E+01 &mu;C
 * -c) 1.493E+01 &mu;C
 * +d) 1.642E+01 &mu;C
 * -e) 1.806E+01 &mu;C

9) A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.85 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=3.18 cm, y=1.93 cm)? Note that following the textbook's example, the y-value of the field point at 1.93 cm matches the disance of the positive charge above the x-axis.


 * -a) 3.866E+02 V
 * -b) 4.253E+02 V
 * -c) 4.678E+02 V
 * +d) 5.146E+02 V
 * -e) 5.661E+02 V

10) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x2 + y2 + z2 = R2, where R=


 * -a) 5.169E+00 m
 * -b) 5.686E+00 m
 * -c) 6.255E+00 m
 * -d) 6.880E+00 m
 * +e) 7.568E+00 m

11) 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

Key: F1
1) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.422E+00 m
 * -b) 1.564E+00 m
 * -c) 1.720E+00 m
 * +d) 1.892E+00 m
 * -e) 2.081E+00 m

2) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * -a) 3.031E+06 m/s
 * -b) 3.335E+06 m/s
 * -c) 3.668E+06 m/s
 * -d) 4.035E+06 m/s
 * +e) 4.438E+06 m/s

3) Assume that a 26 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, 42&deg;).


 * -a) 7.263E+02 V
 * +b) 7.989E+02 V
 * -c) 8.788E+02 V
 * -d) 9.667E+02 V
 * -e) 1.063E+03 V

4) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.444E+01 J
 * -b) 3.789E+01 J
 * +c) 4.168E+01 J
 * -d) 4.585E+01 J
 * -e) 5.043E+01 J

5) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?


 * -a) 3.570E+05 J
 * -b) 3.927E+05 J
 * +c) 4.320E+05 J
 * -d) 4.752E+05 J
 * -e) 5.227E+05 J

6) 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

7) 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

8) Two large parallel conducting plates are separated by 8.7 mm. Equal and opposite surface charges of 7.220E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 67 V?


 * -a) 4.698E-01 mm
 * -b) 5.402E-01 mm
 * -c) 6.213E-01 mm
 * -d) 7.145E-01 mm
 * +e) 8.216E-01 mm

9) A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What  is the excess charge on the sphere?


 * -a) 9.129E+00 &mu;C
 * +b) 1.004E+01 &mu;C
 * -c) 1.105E+01 &mu;C
 * -d) 1.215E+01 &mu;C
 * -e) 1.337E+01 &mu;C

10) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?


 * +a) 1.838E+18 electrons
 * -b) 2.022E+18 electrons
 * -c) 2.224E+18 electrons
 * -d) 2.446E+18 electrons
 * -e) 2.691E+18 electrons

11) A 8 C charge is separated from a 12 C charge by distance of 9 cm.  What is the work done by increasing this separation to 18 cm?


 * -a) 3.274E-06 J
 * -b) 3.601E-06 J
 * -c) 3.961E-06 J
 * -d) 4.358E-06 J
 * +e) 4.793E-06 J

Key: F2
1) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?


 * -a) 3.570E+05 J
 * -b) 3.927E+05 J
 * +c) 4.320E+05 J
 * -d) 4.752E+05 J
 * -e) 5.227E+05 J

2) A 7 C charge is separated from a 12 C charge by distance of 11 cm.  What is the work done by increasing this separation to 19 cm?


 * +a) 2.890E-06 J
 * -b) 3.179E-06 J
 * -c) 3.497E-06 J
 * -d) 3.846E-06 J
 * -e) 4.231E-06 J

3) 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

4) An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 &mu;C charge that gets between the plates?


 * -a) 8.206E-01 N
 * +b) 9.027E-01 N
 * -c) 9.930E-01 N
 * -d) 1.092E+00 N
 * -e) 1.201E+00 N

5) If a 24 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=97 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.838E+00 m
 * -b) 2.022E+00 m
 * +c) 2.224E+00 m
 * -d) 2.446E+00 m
 * -e) 2.691E+00 m

6) 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=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) 6.598E+01 J
 * -b) 7.258E+01 J
 * -c) 7.983E+01 J
 * +d) 8.782E+01 J
 * -e) 9.660E+01 J

7) 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

8) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?


 * -a) 3.799E-01 mm
 * -b) 4.368E-01 mm
 * -c) 5.024E-01 mm
 * -d) 5.777E-01 mm
 * +e) 6.644E-01 mm

9) A diploe has a charge magnitude of q=8 nC and a separation distance of d=3.55 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=3.43 cm, y=1.77 cm)? Note that following the textbook's example, the y-value of the field point at 1.77 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.796E+02 V
 * +b) 6.375E+02 V
 * -c) 7.013E+02 V
 * -d) 7.714E+02 V
 * -e) 8.486E+02 V

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * +a) 5.102E+06 m/s
 * -b) 5.612E+06 m/s
 * -c) 6.173E+06 m/s
 * -d) 6.791E+06 m/s
 * -e) 7.470E+06 m/s

11) A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.032E+01 &mu;C
 * -b) 1.135E+01 &mu;C
 * +c) 1.249E+01 &mu;C
 * -d) 1.374E+01 &mu;C
 * -e) 1.511E+01 &mu;C

Key: G0
1) A 2 C charge is separated from a 10 C charge by distance of 8 cm.  What is the work done by increasing this separation to 14 cm?


 * -a) 8.754E-07 J
 * +b) 9.630E-07 J
 * -c) 1.059E-06 J
 * -d) 1.165E-06 J
 * -e) 1.282E-06 J

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=6 &mu;C, and q4=8 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 2.343E+01 J
 * +b) 2.577E+01 J
 * -c) 2.835E+01 J
 * -d) 3.118E+01 J
 * -e) 3.430E+01 J

3) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?


 * -a) 3.570E+05 J
 * -b) 3.927E+05 J
 * +c) 4.320E+05 J
 * -d) 4.752E+05 J
 * -e) 5.227E+05 J

4) When a 3.63 V battery operates a 1.34 W bulb, how many electrons pass through it each second?


 * -a) 2.095E+18 electrons
 * +b) 2.304E+18 electrons
 * -c) 2.534E+18 electrons
 * -d) 2.788E+18 electrons
 * -e) 3.067E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 11 V.


 * -a) 1.626E+06 m/s
 * -b) 1.788E+06 m/s
 * +c) 1.967E+06 m/s
 * -d) 2.164E+06 m/s
 * -e) 2.380E+06 m/s

6) An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 &mu;C charge that gets between the plates?


 * -a) 8.206E-01 N
 * +b) 9.027E-01 N
 * -c) 9.930E-01 N
 * -d) 1.092E+00 N
 * -e) 1.201E+00 N

7) Assume that a 16 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 (14 cm, 27&deg;).


 * -a) 9.354E+02 V
 * -b) 1.029E+03 V
 * -c) 1.132E+03 V
 * -d) 1.245E+03 V
 * +e) 1.370E+03 V

8) 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

9) A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.07 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=3.88 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) 2.164E+02 V
 * -b) 2.381E+02 V
 * -c) 2.619E+02 V
 * +d) 2.880E+02 V
 * -e) 3.168E+02 V

10) 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

11) 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

Key: G1
1) Assume that a 22 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 (12 cm, 53&deg;).


 * +a) 5.492E+02 V
 * -b) 6.042E+02 V
 * -c) 6.646E+02 V
 * -d) 7.310E+02 V
 * -e) 8.041E+02 V

2) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * -a) 5.431E-01 mm
 * -b) 6.245E-01 mm
 * +c) 7.182E-01 mm
 * -d) 8.260E-01 mm
 * -e) 9.499E-01 mm

3) 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

4) 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

5) 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

6) A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.205E+01 &mu;C
 * +b) 1.326E+01 &mu;C
 * -c) 1.459E+01 &mu;C
 * -d) 1.604E+01 &mu;C
 * -e) 1.765E+01 &mu;C

7) 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

8) A 8 C charge is separated from a 13 C charge by distance of 7 cm.  What is the work done by increasing this separation to 13 cm?


 * -a) 4.209E-06 J
 * -b) 4.630E-06 J
 * -c) 5.093E-06 J
 * -d) 5.603E-06 J
 * +e) 6.163E-06 J

9) A diploe has a charge magnitude of q=8 nC and a separation distance of d=3.55 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=3.43 cm, y=1.77 cm)? Note that following the textbook's example, the y-value of the field point at 1.77 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.796E+02 V
 * +b) 6.375E+02 V
 * -c) 7.013E+02 V
 * -d) 7.714E+02 V
 * -e) 8.486E+02 V

10) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=7 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 2.300E+01 J
 * -b) 2.530E+01 J
 * -c) 2.783E+01 J
 * +d) 3.061E+01 J
 * -e) 3.367E+01 J

11) Calculate the final speed of a free electron accelerated from rest through a potential difference of 30 V.


 * -a) 2.441E+06 m/s
 * -b) 2.685E+06 m/s
 * -c) 2.953E+06 m/s
 * +d) 3.249E+06 m/s
 * -e) 3.573E+06 m/s

Key: G2
1) 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  (9 cm, 0&deg;) and  P2 is at (12 cm, 15&deg;).


 * +a) 4.244E+02 V
 * -b) 4.669E+02 V
 * -c) 5.135E+02 V
 * -d) 5.649E+02 V
 * -e) 6.214E+02 V

2) 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

3) 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

4) 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

5) Two large parallel conducting plates are separated by 6.95 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 83 V?


 * -a) 6.565E-01 mm
 * -b) 7.550E-01 mm
 * -c) 8.683E-01 mm
 * +d) 9.985E-01 mm
 * -e) 1.148E+00 mm

6) An electron gun has parallel plates separated by 3.39 cm and gives electrons 57 keV of energy. What force would the field between the plates exert on a 0.218 &mu;C charge that gets between the plates?


 * -a) 3.029E-01 N
 * -b) 3.332E-01 N
 * +c) 3.665E-01 N
 * -d) 4.032E-01 N
 * -e) 4.435E-01 N

7) 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

8) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=


 * -a) 2.139E+00 m
 * -b) 2.353E+00 m
 * -c) 2.588E+00 m
 * -d) 2.847E+00 m
 * +e) 3.132E+00 m

9) 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

10) When a 2.59 V battery operates a 2.89 W bulb, how many electrons pass through it each second?


 * -a) 5.756E+18 electrons
 * -b) 6.331E+18 electrons
 * +c) 6.964E+18 electrons
 * -d) 7.661E+18 electrons
 * -e) 8.427E+18 electrons

11) 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

Key: H0
1) A 7 C charge is separated from a 15 C charge by distance of 14 cm.  What is the work done by increasing this separation to 20 cm?


 * -a) 1.519E-06 J
 * -b) 1.671E-06 J
 * -c) 1.838E-06 J
 * +d) 2.022E-06 J
 * -e) 2.224E-06 J

2) 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

3) 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

4) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * -a) 1.749E+18 electrons
 * -b) 1.924E+18 electrons
 * -c) 2.117E+18 electrons
 * +d) 2.328E+18 electrons
 * -e) 2.561E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 46 V.


 * -a) 3.022E+06 m/s
 * -b) 3.324E+06 m/s
 * -c) 3.657E+06 m/s
 * +d) 4.023E+06 m/s
 * -e) 4.425E+06 m/s

6) An electron gun has parallel plates separated by 4.24 cm and gives electrons 48 keV of energy. What force would the field between the plates exert on a 0.48 &mu;C charge that gets between the plates?


 * +a) 5.434E-01 N
 * -b) 5.977E-01 N
 * -c) 6.575E-01 N
 * -d) 7.233E-01 N
 * -e) 7.956E-01 N

7) Assume that a 11 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 (12 cm, 14&deg;).


 * -a) 1.876E+02 V
 * -b) 2.063E+02 V
 * -c) 2.270E+02 V
 * -d) 2.497E+02 V
 * +e) 2.746E+02 V

8) 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

9) A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 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=3.33 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) 4.324E+02 V
 * -b) 4.757E+02 V
 * +c) 5.232E+02 V
 * -d) 5.755E+02 V
 * -e) 6.331E+02 V

10) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.107E+00 m
 * -b) 1.218E+00 m
 * -c) 1.339E+00 m
 * -d) 1.473E+00 m
 * +e) 1.621E+00 m

11) 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

Key: H1
1) When a 6.32 V battery operates a 1.94 W bulb, how many electrons pass through it each second?


 * -a) 1.439E+18 electrons
 * -b) 1.583E+18 electrons
 * -c) 1.742E+18 electrons
 * +d) 1.916E+18 electrons
 * -e) 2.107E+18 electrons

2) 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=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) 6.598E+01 J
 * -b) 7.258E+01 J
 * -c) 7.983E+01 J
 * +d) 8.782E+01 J
 * -e) 9.660E+01 J

3) 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

4) 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

5) A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What  is the excess charge on the sphere?


 * -a) 9.129E+00 &mu;C
 * +b) 1.004E+01 &mu;C
 * -c) 1.105E+01 &mu;C
 * -d) 1.215E+01 &mu;C
 * -e) 1.337E+01 &mu;C

6) Assume that a 25 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 (13 cm, 70&deg;).


 * -a) 2.285E+03 V
 * -b) 2.514E+03 V
 * +c) 2.765E+03 V
 * -d) 3.042E+03 V
 * -e) 3.346E+03 V

7) 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

8) 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

9) Two large parallel conducting plates are separated by 6.67 mm. Equal and opposite surface charges of 7.080E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 60 V?


 * -a) 6.525E-01 mm
 * +b) 7.504E-01 mm
 * -c) 8.629E-01 mm
 * -d) 9.923E-01 mm
 * -e) 1.141E+00 mm

10) If a 29 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=81 V is x2 + y2 + z2 = R2, where R=


 * +a) 3.218E+00 m
 * -b) 3.540E+00 m
 * -c) 3.893E+00 m
 * -d) 4.283E+00 m
 * -e) 4.711E+00 m

11) An electron gun has parallel plates separated by 4.95 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.516 &mu;C charge that gets between the plates?


 * +a) 1.355E-01 N
 * -b) 1.491E-01 N
 * -c) 1.640E-01 N
 * -d) 1.804E-01 N
 * -e) 1.984E-01 N

Key: H2
1) 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

2) 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  (9 cm, 0&deg;) and  P2 is at (12 cm, 15&deg;).


 * +a) 4.244E+02 V
 * -b) 4.669E+02 V
 * -c) 5.135E+02 V
 * -d) 5.649E+02 V
 * -e) 6.214E+02 V

3) 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

4) A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 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=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.


 * -a) 4.590E+02 V
 * -b) 5.049E+02 V
 * -c) 5.554E+02 V
 * +d) 6.109E+02 V
 * -e) 6.720E+02 V

5) If a 28 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=77 V is x2 + y2 + z2 = R2, where R=


 * -a) 2.701E+00 m
 * -b) 2.971E+00 m
 * +c) 3.268E+00 m
 * -d) 3.595E+00 m
 * -e) 3.955E+00 m

6) 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

7) A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.388E+01 &mu;C
 * -b) 1.527E+01 &mu;C
 * -c) 1.680E+01 &mu;C
 * -d) 1.848E+01 &mu;C
 * +e) 2.033E+01 &mu;C

8) Two large parallel conducting plates are separated by 6.67 mm. Equal and opposite surface charges of 7.080E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 60 V?


 * -a) 6.525E-01 mm
 * +b) 7.504E-01 mm
 * -c) 8.629E-01 mm
 * -d) 9.923E-01 mm
 * -e) 1.141E+00 mm

9) 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

10) 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

11) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * -a) 3.031E+06 m/s
 * -b) 3.335E+06 m/s
 * -c) 3.668E+06 m/s
 * -d) 4.035E+06 m/s
 * +e) 4.438E+06 m/s

Key: I0
1) A 7 C charge is separated from a 12 C charge by distance of 11 cm.  What is the work done by increasing this separation to 19 cm?


 * +a) 2.890E-06 J
 * -b) 3.179E-06 J
 * -c) 3.497E-06 J
 * -d) 3.846E-06 J
 * -e) 4.231E-06 J

2) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=10 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 1.194E+02 J
 * -b) 1.314E+02 J
 * -c) 1.445E+02 J
 * +d) 1.589E+02 J
 * -e) 1.748E+02 J

3) A 12.0 V battery can move 30,000 C of charge. How many Joules does it deliver?


 * -a) 3.273E+05 J
 * +b) 3.600E+05 J
 * -c) 3.960E+05 J
 * -d) 4.356E+05 J
 * -e) 4.792E+05 J

4) 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

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 6 V.


 * -a) 1.091E+06 m/s
 * -b) 1.201E+06 m/s
 * -c) 1.321E+06 m/s
 * +d) 1.453E+06 m/s
 * -e) 1.598E+06 m/s

6) An electron gun has parallel plates separated by 4.36 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.816 &mu;C charge that gets between the plates?


 * -a) 2.212E-01 N
 * +b) 2.433E-01 N
 * -c) 2.676E-01 N
 * -d) 2.944E-01 N
 * -e) 3.238E-01 N

7) Assume that a 22 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 (12 cm, 53&deg;).


 * +a) 5.492E+02 V
 * -b) 6.042E+02 V
 * -c) 6.646E+02 V
 * -d) 7.310E+02 V
 * -e) 8.041E+02 V

8) 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

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 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=3.51 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) 5.261E+02 V
 * -b) 5.787E+02 V
 * +c) 6.365E+02 V
 * -d) 7.002E+02 V
 * -e) 7.702E+02 V

10) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.422E+00 m
 * -b) 1.564E+00 m
 * -c) 1.720E+00 m
 * +d) 1.892E+00 m
 * -e) 2.081E+00 m

11) 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

Key: I1
1) If a 18 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=12 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.114E+01 m
 * -b) 1.226E+01 m
 * +c) 1.348E+01 m
 * -d) 1.483E+01 m
 * -e) 1.631E+01 m

2) 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

3) Assume that a 26 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, 42&deg;).


 * -a) 7.263E+02 V
 * +b) 7.989E+02 V
 * -c) 8.788E+02 V
 * -d) 9.667E+02 V
 * -e) 1.063E+03 V

4) Calculate the final speed of a free electron accelerated from rest through a potential difference of 46 V.


 * -a) 3.022E+06 m/s
 * -b) 3.324E+06 m/s
 * -c) 3.657E+06 m/s
 * +d) 4.023E+06 m/s
 * -e) 4.425E+06 m/s

5) A 12.0 V battery can move 19,000 C of charge. How many Joules does it deliver?


 * -a) 1.713E+05 J
 * -b) 1.884E+05 J
 * -c) 2.073E+05 J
 * +d) 2.280E+05 J
 * -e) 2.508E+05 J

6) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 4.235E+01 J
 * +b) 4.659E+01 J
 * -c) 5.125E+01 J
 * -d) 5.637E+01 J
 * -e) 6.201E+01 J

7) When a 3.21 V battery operates a 2.38 W bulb, how many electrons pass through it each second?


 * -a) 3.161E+18 electrons
 * -b) 3.477E+18 electrons
 * -c) 3.825E+18 electrons
 * -d) 4.207E+18 electrons
 * +e) 4.628E+18 electrons

8) A 5 C charge is separated from a 9 C charge by distance of 14 cm.  What is the work done by increasing this separation to 18 cm?


 * -a) 4.385E-07 J
 * -b) 4.823E-07 J
 * -c) 5.306E-07 J
 * -d) 5.836E-07 J
 * +e) 6.420E-07 J

9) 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

10) 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

11) A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 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=3.33 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) 4.324E+02 V
 * -b) 4.757E+02 V
 * +c) 5.232E+02 V
 * -d) 5.755E+02 V
 * -e) 6.331E+02 V

Key: I2
1) Assume that a 11 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 (12 cm, 14&deg;).


 * -a) 1.876E+02 V
 * -b) 2.063E+02 V
 * -c) 2.270E+02 V
 * -d) 2.497E+02 V
 * +e) 2.746E+02 V

2) 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

3) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * -a) 1.749E+18 electrons
 * -b) 1.924E+18 electrons
 * -c) 2.117E+18 electrons
 * +d) 2.328E+18 electrons
 * -e) 2.561E+18 electrons

4) A Van de Graff generator has a 95 cm diameter metal sphere that produces 187 kV near its surface. What  is the excess charge on the sphere?


 * +a) 9.883E+00 &mu;C
 * -b) 1.087E+01 &mu;C
 * -c) 1.196E+01 &mu;C
 * -d) 1.315E+01 &mu;C
 * -e) 1.447E+01 &mu;C

5) 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

6) A 3 C charge is separated from a 11 C charge by distance of 12 cm.  What is the work done by increasing this separation to 19 cm?


 * -a) 8.278E-07 J
 * +b) 9.106E-07 J
 * -c) 1.002E-06 J
 * -d) 1.102E-06 J
 * -e) 1.212E-06 J

7) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=7 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 2.300E+01 J
 * -b) 2.530E+01 J
 * -c) 2.783E+01 J
 * +d) 3.061E+01 J
 * -e) 3.367E+01 J

8) An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 &mu;C charge that gets between the plates?


 * -a) 1.767E-01 N
 * -b) 1.944E-01 N
 * -c) 2.138E-01 N
 * -d) 2.352E-01 N
 * +e) 2.587E-01 N

9) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?


 * -a) 3.278E+05 J
 * -b) 3.606E+05 J
 * -c) 3.967E+05 J
 * -d) 4.364E+05 J
 * +e) 4.800E+05 J

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 83 V.


 * -a) 4.466E+06 m/s
 * -b) 4.912E+06 m/s
 * +c) 5.403E+06 m/s
 * -d) 5.944E+06 m/s
 * -e) 6.538E+06 m/s

11) 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

Key: J0
1) 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

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=6 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.819E+01 J
 * -b) 4.201E+01 J
 * +c) 4.621E+01 J
 * -d) 5.083E+01 J
 * -e) 5.591E+01 J

3) A 12.0 V battery can move 30,000 C of charge. How many Joules does it deliver?


 * -a) 3.273E+05 J
 * +b) 3.600E+05 J
 * -c) 3.960E+05 J
 * -d) 4.356E+05 J
 * -e) 4.792E+05 J

4) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * -a) 1.749E+18 electrons
 * -b) 1.924E+18 electrons
 * -c) 2.117E+18 electrons
 * +d) 2.328E+18 electrons
 * -e) 2.561E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.


 * -a) 1.942E+06 m/s
 * -b) 2.137E+06 m/s
 * -c) 2.350E+06 m/s
 * +d) 2.585E+06 m/s
 * -e) 2.844E+06 m/s

6) An electron gun has parallel plates separated by 2.98 cm and gives electrons 11 keV of energy. What force would the field between the plates exert on a 0.685 &mu;C charge that gets between the plates?


 * -a) 1.900E-01 N
 * -b) 2.090E-01 N
 * -c) 2.299E-01 N
 * +d) 2.529E-01 N
 * -e) 2.781E-01 N

7) Assume that a 24 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, 27&deg;).


 * -a) 5.540E+02 V
 * -b) 6.095E+02 V
 * -c) 6.704E+02 V
 * +d) 7.374E+02 V
 * -e) 8.112E+02 V

8) 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

9) A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 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=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.


 * -a) 4.590E+02 V
 * -b) 5.049E+02 V
 * -c) 5.554E+02 V
 * +d) 6.109E+02 V
 * -e) 6.720E+02 V

10) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=


 * +a) 2.420E+00 m
 * -b) 2.662E+00 m
 * -c) 2.928E+00 m
 * -d) 3.221E+00 m
 * -e) 3.543E+00 m

11) 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

Key: J1
1) 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

2) A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 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=3.33 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) 4.324E+02 V
 * -b) 4.757E+02 V
 * +c) 5.232E+02 V
 * -d) 5.755E+02 V
 * -e) 6.331E+02 V

3) A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.032E+01 &mu;C
 * -b) 1.135E+01 &mu;C
 * +c) 1.249E+01 &mu;C
 * -d) 1.374E+01 &mu;C
 * -e) 1.511E+01 &mu;C

4) 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

5) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=43 V is x2 + y2 + z2 = R2, where R=


 * +a) 2.299E+00 m
 * -b) 2.529E+00 m
 * -c) 2.782E+00 m
 * -d) 3.060E+00 m
 * -e) 3.366E+00 m

6) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * -a) 3.031E+06 m/s
 * -b) 3.335E+06 m/s
 * -c) 3.668E+06 m/s
 * -d) 4.035E+06 m/s
 * +e) 4.438E+06 m/s

7) An electron gun has parallel plates separated by 4.85 cm and gives electrons 36 keV of energy. What force would the field between the plates exert on a 0.663 &mu;C charge that gets between the plates?


 * -a) 3.697E-01 N
 * -b) 4.067E-01 N
 * -c) 4.474E-01 N
 * +d) 4.921E-01 N
 * -e) 5.413E-01 N

8) A 12.0 V battery can move 19,000 C of charge. How many Joules does it deliver?


 * -a) 1.713E+05 J
 * -b) 1.884E+05 J
 * -c) 2.073E+05 J
 * +d) 2.280E+05 J
 * -e) 2.508E+05 J

9) 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

10) 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

11) When a 4.91 V battery operates a 1.43 W bulb, how many electrons pass through it each second?


 * -a) 1.242E+18 electrons
 * -b) 1.366E+18 electrons
 * -c) 1.502E+18 electrons
 * -d) 1.653E+18 electrons
 * +e) 1.818E+18 electrons

Key: J2
1) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * -a) 1.749E+18 electrons
 * -b) 1.924E+18 electrons
 * -c) 2.117E+18 electrons
 * +d) 2.328E+18 electrons
 * -e) 2.561E+18 electrons

2) A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.205E+01 &mu;C
 * +b) 1.326E+01 &mu;C
 * -c) 1.459E+01 &mu;C
 * -d) 1.604E+01 &mu;C
 * -e) 1.765E+01 &mu;C

3) A 12.0 V battery can move 31,000 C of charge. How many Joules does it deliver?


 * -a) 2.541E+05 J
 * -b) 2.795E+05 J
 * -c) 3.074E+05 J
 * -d) 3.382E+05 J
 * +e) 3.720E+05 J

4) Calculate the final speed of a free electron accelerated from rest through a potential difference of 27 V.


 * -a) 2.802E+06 m/s
 * +b) 3.082E+06 m/s
 * -c) 3.390E+06 m/s
 * -d) 3.729E+06 m/s
 * -e) 4.102E+06 m/s

5) 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

6) 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

7) Assume that a 24 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, 27&deg;).


 * -a) 5.540E+02 V
 * -b) 6.095E+02 V
 * -c) 6.704E+02 V
 * +d) 7.374E+02 V
 * -e) 8.112E+02 V

8) A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.07 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=3.88 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) 2.164E+02 V
 * -b) 2.381E+02 V
 * -c) 2.619E+02 V
 * +d) 2.880E+02 V
 * -e) 3.168E+02 V

9) If a 29 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=81 V is x2 + y2 + z2 = R2, where R=


 * +a) 3.218E+00 m
 * -b) 3.540E+00 m
 * -c) 3.893E+00 m
 * -d) 4.283E+00 m
 * -e) 4.711E+00 m

10) An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 &mu;C charge that gets between the plates?


 * -a) 8.206E-01 N
 * +b) 9.027E-01 N
 * -c) 9.930E-01 N
 * -d) 1.092E+00 N
 * -e) 1.201E+00 N

11) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=7 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 2.300E+01 J
 * -b) 2.530E+01 J
 * -c) 2.783E+01 J
 * +d) 3.061E+01 J
 * -e) 3.367E+01 J

Key: K0
1) 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

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=6 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.819E+01 J
 * -b) 4.201E+01 J
 * +c) 4.621E+01 J
 * -d) 5.083E+01 J
 * -e) 5.591E+01 J

3) A 12.0 V battery can move 19,000 C of charge. How many Joules does it deliver?


 * -a) 1.713E+05 J
 * -b) 1.884E+05 J
 * -c) 2.073E+05 J
 * +d) 2.280E+05 J
 * -e) 2.508E+05 J

4) When a 6.24 V battery operates a 2.1 W bulb, how many electrons pass through it each second?


 * -a) 1.435E+18 electrons
 * -b) 1.578E+18 electrons
 * -c) 1.736E+18 electrons
 * -d) 1.910E+18 electrons
 * +e) 2.101E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 69 V.


 * -a) 3.365E+06 m/s
 * -b) 3.701E+06 m/s
 * -c) 4.072E+06 m/s
 * -d) 4.479E+06 m/s
 * +e) 4.927E+06 m/s

6) An electron gun has parallel plates separated by 2.98 cm and gives electrons 11 keV of energy. What force would the field between the plates exert on a 0.685 &mu;C charge that gets between the plates?


 * -a) 1.900E-01 N
 * -b) 2.090E-01 N
 * -c) 2.299E-01 N
 * +d) 2.529E-01 N
 * -e) 2.781E-01 N

7) 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  (9 cm, 0&deg;) and  P2 is at (12 cm, 15&deg;).


 * +a) 4.244E+02 V
 * -b) 4.669E+02 V
 * -c) 5.135E+02 V
 * -d) 5.649E+02 V
 * -e) 6.214E+02 V

8) A Van de Graff generator has a 149 cm diameter metal sphere that produces 172 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.071E+01 &mu;C
 * -b) 1.178E+01 &mu;C
 * -c) 1.296E+01 &mu;C
 * +d) 1.426E+01 &mu;C
 * -e) 1.568E+01 &mu;C

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.08 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=2.04 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) 7.017E+02 V
 * +b) 7.718E+02 V
 * -c) 8.490E+02 V
 * -d) 9.339E+02 V
 * -e) 1.027E+03 V

10) If a 13 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=84 V is x2 + y2 + z2 = R2, where R=


 * +a) 1.391E+00 m
 * -b) 1.530E+00 m
 * -c) 1.683E+00 m
 * -d) 1.851E+00 m
 * -e) 2.036E+00 m

11) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * -a) 5.431E-01 mm
 * -b) 6.245E-01 mm
 * +c) 7.182E-01 mm
 * -d) 8.260E-01 mm
 * -e) 9.499E-01 mm

Key: K1
1) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 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=3.51 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) 5.261E+02 V
 * -b) 5.787E+02 V
 * +c) 6.365E+02 V
 * -d) 7.002E+02 V
 * -e) 7.702E+02 V

2) Assume that a 25 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 (13 cm, 70&deg;).


 * -a) 2.285E+03 V
 * -b) 2.514E+03 V
 * +c) 2.765E+03 V
 * -d) 3.042E+03 V
 * -e) 3.346E+03 V

3) A 12.0 V battery can move 26,000 C of charge. How many Joules does it deliver?


 * -a) 2.836E+05 J
 * +b) 3.120E+05 J
 * -c) 3.432E+05 J
 * -d) 3.775E+05 J
 * -e) 4.153E+05 J

4) 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

5) 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

6) 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

7) When a 3.21 V battery operates a 2.38 W bulb, how many electrons pass through it each second?


 * -a) 3.161E+18 electrons
 * -b) 3.477E+18 electrons
 * -c) 3.825E+18 electrons
 * -d) 4.207E+18 electrons
 * +e) 4.628E+18 electrons

8) 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

9) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x2 + y2 + z2 = R2, where R=


 * -a) 5.169E+00 m
 * -b) 5.686E+00 m
 * -c) 6.255E+00 m
 * -d) 6.880E+00 m
 * +e) 7.568E+00 m

10) An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 &mu;C charge that gets between the plates?


 * -a) 1.767E-01 N
 * -b) 1.944E-01 N
 * -c) 2.138E-01 N
 * -d) 2.352E-01 N
 * +e) 2.587E-01 N

11) A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.388E+01 &mu;C
 * -b) 1.527E+01 &mu;C
 * -c) 1.680E+01 &mu;C
 * -d) 1.848E+01 &mu;C
 * +e) 2.033E+01 &mu;C

Key: K2
1) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.107E+00 m
 * -b) 1.218E+00 m
 * -c) 1.339E+00 m
 * -d) 1.473E+00 m
 * +e) 1.621E+00 m

2) A 12.0 V battery can move 30,000 C of charge. How many Joules does it deliver?


 * -a) 3.273E+05 J
 * +b) 3.600E+05 J
 * -c) 3.960E+05 J
 * -d) 4.356E+05 J
 * -e) 4.792E+05 J

3) 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

4) Two large parallel conducting plates are separated by 6.95 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 83 V?


 * -a) 6.565E-01 mm
 * -b) 7.550E-01 mm
 * -c) 8.683E-01 mm
 * +d) 9.985E-01 mm
 * -e) 1.148E+00 mm

5) 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

6) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * +a) 5.102E+06 m/s
 * -b) 5.612E+06 m/s
 * -c) 6.173E+06 m/s
 * -d) 6.791E+06 m/s
 * -e) 7.470E+06 m/s

7) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 4.235E+01 J
 * +b) 4.659E+01 J
 * -c) 5.125E+01 J
 * -d) 5.637E+01 J
 * -e) 6.201E+01 J

8) 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

9) Assume that a 11 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 (12 cm, 14&deg;).


 * -a) 1.876E+02 V
 * -b) 2.063E+02 V
 * -c) 2.270E+02 V
 * -d) 2.497E+02 V
 * +e) 2.746E+02 V

10) An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 &mu;C charge that gets between the plates?


 * -a) 8.206E-01 N
 * +b) 9.027E-01 N
 * -c) 9.930E-01 N
 * -d) 1.092E+00 N
 * -e) 1.201E+00 N

11) A Van de Graff generator has a 105 cm diameter metal sphere that produces 210 kV near its surface. What  is the excess charge on the sphere?


 * -a) 9.216E+00 &mu;C
 * -b) 1.014E+01 &mu;C
 * -c) 1.115E+01 &mu;C
 * +d) 1.227E+01 &mu;C
 * -e) 1.349E+01 &mu;C

Key: L0
1) A 7 C charge is separated from a 15 C charge by distance of 14 cm.  What is the work done by increasing this separation to 20 cm?


 * -a) 1.519E-06 J
 * -b) 1.671E-06 J
 * -c) 1.838E-06 J
 * +d) 2.022E-06 J
 * -e) 2.224E-06 J

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=6 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.819E+01 J
 * -b) 4.201E+01 J
 * +c) 4.621E+01 J
 * -d) 5.083E+01 J
 * -e) 5.591E+01 J

3) 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

4) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * -a) 7.397E+17 electrons
 * -b) 8.137E+17 electrons
 * -c) 8.951E+17 electrons
 * -d) 9.846E+17 electrons
 * +e) 1.083E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * +a) 5.102E+06 m/s
 * -b) 5.612E+06 m/s
 * -c) 6.173E+06 m/s
 * -d) 6.791E+06 m/s
 * -e) 7.470E+06 m/s

6) 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

7) 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  (8 cm, 0&deg;) and  P2 is at (14 cm, 34&deg;).


 * -a) 2.626E+02 V
 * +b) 2.889E+02 V
 * -c) 3.178E+02 V
 * -d) 3.496E+02 V
 * -e) 3.845E+02 V

8) A Van de Graff generator has a 72 cm diameter metal sphere that produces 285 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.038E+01 &mu;C
 * +b) 1.142E+01 &mu;C
 * -c) 1.256E+01 &mu;C
 * -d) 1.381E+01 &mu;C
 * -e) 1.519E+01 &mu;C

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 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=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.645E+02 V
 * +b) 6.210E+02 V
 * -c) 6.831E+02 V
 * -d) 7.514E+02 V
 * -e) 8.266E+02 V

10) If a 29 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=81 V is x2 + y2 + z2 = R2, where R=


 * +a) 3.218E+00 m
 * -b) 3.540E+00 m
 * -c) 3.893E+00 m
 * -d) 4.283E+00 m
 * -e) 4.711E+00 m

11) Two large parallel conducting plates are separated by 7.83 mm. Equal and opposite surface charges of 7.530E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 86 V?


 * -a) 8.793E-01 mm
 * +b) 1.011E+00 mm
 * -c) 1.163E+00 mm
 * -d) 1.337E+00 mm
 * -e) 1.538E+00 mm

Key: L1
1) An electron gun has parallel plates separated by 5.02 cm and gives electrons 16 keV of energy. What force would the field between the plates exert on a 0.609 &mu;C charge that gets between the plates?


 * -a) 1.604E-01 N
 * -b) 1.765E-01 N
 * +c) 1.941E-01 N
 * -d) 2.135E-01 N
 * -e) 2.349E-01 N

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.444E+01 J
 * -b) 3.789E+01 J
 * +c) 4.168E+01 J
 * -d) 4.585E+01 J
 * -e) 5.043E+01 J

3) A 9 C charge is separated from a 16 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * +a) 4.853E-06 J
 * -b) 5.339E-06 J
 * -c) 5.872E-06 J
 * -d) 6.460E-06 J
 * -e) 7.106E-06 J

4) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?


 * -a) 1.967E+05 J
 * -b) 2.164E+05 J
 * -c) 2.380E+05 J
 * -d) 2.618E+05 J
 * +e) 2.880E+05 J

5) A Van de Graff generator has a 114 cm diameter metal sphere that produces 275 kV near its surface. What  is the excess charge on the sphere?


 * +a) 1.744E+01 &mu;C
 * -b) 1.918E+01 &mu;C
 * -c) 2.110E+01 &mu;C
 * -d) 2.321E+01 &mu;C
 * -e) 2.554E+01 &mu;C

6) A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 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=3.33 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) 4.324E+02 V
 * -b) 4.757E+02 V
 * +c) 5.232E+02 V
 * -d) 5.755E+02 V
 * -e) 6.331E+02 V

7) 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  (8 cm, 0&deg;) and  P2 is at (14 cm, 34&deg;).


 * -a) 2.626E+02 V
 * +b) 2.889E+02 V
 * -c) 3.178E+02 V
 * -d) 3.496E+02 V
 * -e) 3.845E+02 V

8) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.598E+00 m
 * -b) 1.757E+00 m
 * -c) 1.933E+00 m
 * -d) 2.127E+00 m
 * +e) 2.339E+00 m

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * -a) 3.617E+06 m/s
 * +b) 3.979E+06 m/s
 * -c) 4.376E+06 m/s
 * -d) 4.814E+06 m/s
 * -e) 5.296E+06 m/s

10) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * -a) 5.431E-01 mm
 * -b) 6.245E-01 mm
 * +c) 7.182E-01 mm
 * -d) 8.260E-01 mm
 * -e) 9.499E-01 mm

11) When a 5.65 V battery operates a 2.73 W bulb, how many electrons pass through it each second?


 * +a) 3.016E+18 electrons
 * -b) 3.317E+18 electrons
 * -c) 3.649E+18 electrons
 * -d) 4.014E+18 electrons
 * -e) 4.415E+18 electrons

Key: L2
1) An electron gun has parallel plates separated by 3.39 cm and gives electrons 57 keV of energy. What force would the field between the plates exert on a 0.218 &mu;C charge that gets between the plates?


 * -a) 3.029E-01 N
 * -b) 3.332E-01 N
 * +c) 3.665E-01 N
 * -d) 4.032E-01 N
 * -e) 4.435E-01 N

2) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?


 * -a) 1.967E+05 J
 * -b) 2.164E+05 J
 * -c) 2.380E+05 J
 * -d) 2.618E+05 J
 * +e) 2.880E+05 J

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 6 V.


 * -a) 1.091E+06 m/s
 * -b) 1.201E+06 m/s
 * -c) 1.321E+06 m/s
 * +d) 1.453E+06 m/s
 * -e) 1.598E+06 m/s

4) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=


 * -a) 2.139E+00 m
 * -b) 2.353E+00 m
 * -c) 2.588E+00 m
 * -d) 2.847E+00 m
 * +e) 3.132E+00 m

5) Assume that a 11 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 (12 cm, 14&deg;).


 * -a) 1.876E+02 V
 * -b) 2.063E+02 V
 * -c) 2.270E+02 V
 * -d) 2.497E+02 V
 * +e) 2.746E+02 V

6) A 9 C charge is separated from a 16 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * +a) 4.853E-06 J
 * -b) 5.339E-06 J
 * -c) 5.872E-06 J
 * -d) 6.460E-06 J
 * -e) 7.106E-06 J

7) 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

8) 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

9) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?


 * -a) 4.723E-01 mm
 * -b) 5.432E-01 mm
 * -c) 6.246E-01 mm
 * -d) 7.183E-01 mm
 * +e) 8.261E-01 mm

10) When a 2.76 V battery operates a 2.71 W bulb, how many electrons pass through it each second?


 * -a) 5.571E+18 electrons
 * +b) 6.128E+18 electrons
 * -c) 6.741E+18 electrons
 * -d) 7.415E+18 electrons
 * -e) 8.157E+18 electrons

11) A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 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=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.


 * -a) 4.104E+02 V
 * -b) 4.514E+02 V
 * -c) 4.965E+02 V
 * -d) 5.462E+02 V
 * +e) 6.008E+02 V

Key: M0
1) A 8 C charge is separated from a 12 C charge by distance of 9 cm.  What is the work done by increasing this separation to 18 cm?


 * -a) 3.274E-06 J
 * -b) 3.601E-06 J
 * -c) 3.961E-06 J
 * -d) 4.358E-06 J
 * +e) 4.793E-06 J

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=6 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.819E+01 J
 * -b) 4.201E+01 J
 * +c) 4.621E+01 J
 * -d) 5.083E+01 J
 * -e) 5.591E+01 J

3) 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

4) When a 5.65 V battery operates a 2.73 W bulb, how many electrons pass through it each second?


 * +a) 3.016E+18 electrons
 * -b) 3.317E+18 electrons
 * -c) 3.649E+18 electrons
 * -d) 4.014E+18 electrons
 * -e) 4.415E+18 electrons

5) 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

6) An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 &mu;C charge that gets between the plates?


 * -a) 3.977E-01 N
 * -b) 4.374E-01 N
 * -c) 4.812E-01 N
 * +d) 5.293E-01 N
 * -e) 5.822E-01 N

7) 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

8) A Van de Graff generator has a 149 cm diameter metal sphere that produces 172 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.071E+01 &mu;C
 * -b) 1.178E+01 &mu;C
 * -c) 1.296E+01 &mu;C
 * +d) 1.426E+01 &mu;C
 * -e) 1.568E+01 &mu;C

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 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=3.51 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) 5.261E+02 V
 * -b) 5.787E+02 V
 * +c) 6.365E+02 V
 * -d) 7.002E+02 V
 * -e) 7.702E+02 V

10) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x2 + y2 + z2 = R2, where R=


 * -a) 5.169E+00 m
 * -b) 5.686E+00 m
 * -c) 6.255E+00 m
 * -d) 6.880E+00 m
 * +e) 7.568E+00 m

11) 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

Key: M1
1) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?


 * -a) 3.799E-01 mm
 * -b) 4.368E-01 mm
 * -c) 5.024E-01 mm
 * -d) 5.777E-01 mm
 * +e) 6.644E-01 mm

2) 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

3) A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.205E+01 &mu;C
 * +b) 1.326E+01 &mu;C
 * -c) 1.459E+01 &mu;C
 * -d) 1.604E+01 &mu;C
 * -e) 1.765E+01 &mu;C

4) 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=3 &mu;C, q2=6 &mu;C, q3=9 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 7.789E+01 J
 * +b) 8.568E+01 J
 * -c) 9.425E+01 J
 * -d) 1.037E+02 J
 * -e) 1.140E+02 J

5) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.598E+00 m
 * -b) 1.757E+00 m
 * -c) 1.933E+00 m
 * -d) 2.127E+00 m
 * +e) 2.339E+00 m

6) An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 &mu;C charge that gets between the plates?


 * -a) 3.977E-01 N
 * -b) 4.374E-01 N
 * -c) 4.812E-01 N
 * +d) 5.293E-01 N
 * -e) 5.822E-01 N

7) Assume that a 15 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 (14 cm, 77&deg;).


 * -a) 1.184E+03 V
 * -b) 1.302E+03 V
 * -c) 1.432E+03 V
 * -d) 1.576E+03 V
 * +e) 1.733E+03 V

8) 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

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * +a) 5.102E+06 m/s
 * -b) 5.612E+06 m/s
 * -c) 6.173E+06 m/s
 * -d) 6.791E+06 m/s
 * -e) 7.470E+06 m/s

10) 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

11) When a 6.03 V battery operates a 1.56 W bulb, how many electrons pass through it each second?


 * +a) 1.615E+18 electrons
 * -b) 1.776E+18 electrons
 * -c) 1.954E+18 electrons
 * -d) 2.149E+18 electrons
 * -e) 2.364E+18 electrons

Key: M2
1) 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

2) 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=3 &mu;C, q2=5 &mu;C, q3=7 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * +a) 5.998E+01 J
 * -b) 6.598E+01 J
 * -c) 7.257E+01 J
 * -d) 7.983E+01 J
 * -e) 8.781E+01 J

3) An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 &mu;C charge that gets between the plates?


 * -a) 1.767E-01 N
 * -b) 1.944E-01 N
 * -c) 2.138E-01 N
 * -d) 2.352E-01 N
 * +e) 2.587E-01 N

4) 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

5) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=


 * -a) 2.139E+00 m
 * -b) 2.353E+00 m
 * -c) 2.588E+00 m
 * -d) 2.847E+00 m
 * +e) 3.132E+00 m

6) A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What  is the excess charge on the sphere?


 * -a) 9.129E+00 &mu;C
 * +b) 1.004E+01 &mu;C
 * -c) 1.105E+01 &mu;C
 * -d) 1.215E+01 &mu;C
 * -e) 1.337E+01 &mu;C

7) 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

8) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?


 * -a) 3.278E+05 J
 * -b) 3.606E+05 J
 * -c) 3.967E+05 J
 * -d) 4.364E+05 J
 * +e) 4.800E+05 J

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 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=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.645E+02 V
 * +b) 6.210E+02 V
 * -c) 6.831E+02 V
 * -d) 7.514E+02 V
 * -e) 8.266E+02 V

10) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?


 * -a) 4.723E-01 mm
 * -b) 5.432E-01 mm
 * -c) 6.246E-01 mm
 * -d) 7.183E-01 mm
 * +e) 8.261E-01 mm

11) A 9 C charge is separated from a 16 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * +a) 4.853E-06 J
 * -b) 5.339E-06 J
 * -c) 5.872E-06 J
 * -d) 6.460E-06 J
 * -e) 7.106E-06 J

Key: N0
1) A 8 C charge is separated from a 13 C charge by distance of 7 cm.  What is the work done by increasing this separation to 13 cm?


 * -a) 4.209E-06 J
 * -b) 4.630E-06 J
 * -c) 5.093E-06 J
 * -d) 5.603E-06 J
 * +e) 6.163E-06 J

2) 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=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) 6.598E+01 J
 * -b) 7.258E+01 J
 * -c) 7.983E+01 J
 * +d) 8.782E+01 J
 * -e) 9.660E+01 J

3) A 12.0 V battery can move 26,000 C of charge. How many Joules does it deliver?


 * -a) 2.836E+05 J
 * +b) 3.120E+05 J
 * -c) 3.432E+05 J
 * -d) 3.775E+05 J
 * -e) 4.153E+05 J

4) 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

5) 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

6) 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

7) Assume that a 24 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, 27&deg;).


 * -a) 5.540E+02 V
 * -b) 6.095E+02 V
 * -c) 6.704E+02 V
 * +d) 7.374E+02 V
 * -e) 8.112E+02 V

8) A Van de Graff generator has a 119 cm diameter metal sphere that produces 248 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.234E+01 &mu;C
 * -b) 1.357E+01 &mu;C
 * -c) 1.493E+01 &mu;C
 * +d) 1.642E+01 &mu;C
 * -e) 1.806E+01 &mu;C

9) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 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=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.645E+02 V
 * +b) 6.210E+02 V
 * -c) 6.831E+02 V
 * -d) 7.514E+02 V
 * -e) 8.266E+02 V

10) If a 18 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=12 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.114E+01 m
 * -b) 1.226E+01 m
 * +c) 1.348E+01 m
 * -d) 1.483E+01 m
 * -e) 1.631E+01 m

11) 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

Key: N1
1) Two large parallel conducting plates are separated by 6.86 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 79 V?


 * -a) 6.100E-01 mm
 * -b) 7.015E-01 mm
 * -c) 8.067E-01 mm
 * +d) 9.277E-01 mm
 * -e) 1.067E+00 mm

2) Calculate the final speed of a free electron accelerated from rest through a potential difference of 69 V.


 * -a) 3.365E+06 m/s
 * -b) 3.701E+06 m/s
 * -c) 4.072E+06 m/s
 * -d) 4.479E+06 m/s
 * +e) 4.927E+06 m/s

3) A 8 C charge is separated from a 12 C charge by distance of 9 cm.  What is the work done by increasing this separation to 18 cm?


 * -a) 3.274E-06 J
 * -b) 3.601E-06 J
 * -c) 3.961E-06 J
 * -d) 4.358E-06 J
 * +e) 4.793E-06 J

4) Assume that a 3 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 (12 cm, 32&deg;).


 * -a) 1.857E+02 V
 * -b) 2.043E+02 V
 * +c) 2.247E+02 V
 * -d) 2.472E+02 V
 * -e) 2.719E+02 V

5) 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

6) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.08 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=2.04 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) 7.017E+02 V
 * +b) 7.718E+02 V
 * -c) 8.490E+02 V
 * -d) 9.339E+02 V
 * -e) 1.027E+03 V

7) 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

8) When a 3.63 V battery operates a 1.34 W bulb, how many electrons pass through it each second?


 * -a) 2.095E+18 electrons
 * +b) 2.304E+18 electrons
 * -c) 2.534E+18 electrons
 * -d) 2.788E+18 electrons
 * -e) 3.067E+18 electrons

9) 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

10) 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

11) A 12.0 V battery can move 27,000 C of charge. How many Joules does it deliver?


 * -a) 2.213E+05 J
 * -b) 2.434E+05 J
 * -c) 2.678E+05 J
 * -d) 2.945E+05 J
 * +e) 3.240E+05 J

Key: N2
1) When a 5.65 V battery operates a 2.73 W bulb, how many electrons pass through it each second?


 * +a) 3.016E+18 electrons
 * -b) 3.317E+18 electrons
 * -c) 3.649E+18 electrons
 * -d) 4.014E+18 electrons
 * -e) 4.415E+18 electrons

2) A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 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=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.


 * -a) 4.590E+02 V
 * -b) 5.049E+02 V
 * -c) 5.554E+02 V
 * +d) 6.109E+02 V
 * -e) 6.720E+02 V

3) 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

4) Assume that a 23 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 (13 cm, 18&deg;).


 * -a) 1.024E+03 V
 * -b) 1.126E+03 V
 * -c) 1.239E+03 V
 * +d) 1.363E+03 V
 * -e) 1.499E+03 V

5) A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.388E+01 &mu;C
 * -b) 1.527E+01 &mu;C
 * -c) 1.680E+01 &mu;C
 * -d) 1.848E+01 &mu;C
 * +e) 2.033E+01 &mu;C

6) 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

7) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 4.235E+01 J
 * +b) 4.659E+01 J
 * -c) 5.125E+01 J
 * -d) 5.637E+01 J
 * -e) 6.201E+01 J

8) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?


 * -a) 4.391E-01 mm
 * -b) 5.049E-01 mm
 * -c) 5.806E-01 mm
 * -d) 6.677E-01 mm
 * +e) 7.679E-01 mm

9) A 7 C charge is separated from a 12 C charge by distance of 11 cm.  What is the work done by increasing this separation to 19 cm?


 * +a) 2.890E-06 J
 * -b) 3.179E-06 J
 * -c) 3.497E-06 J
 * -d) 3.846E-06 J
 * -e) 4.231E-06 J

10) An electron gun has parallel plates separated by 2.36 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.45 &mu;C charge that gets between the plates?


 * -a) 7.033E-01 N
 * -b) 7.736E-01 N
 * -c) 8.510E-01 N
 * -d) 9.361E-01 N
 * +e) 1.030E+00 N

11) Calculate the final speed of a free electron accelerated from rest through a potential difference of 30 V.


 * -a) 2.441E+06 m/s
 * -b) 2.685E+06 m/s
 * -c) 2.953E+06 m/s
 * +d) 3.249E+06 m/s
 * -e) 3.573E+06 m/s

Key: O0
1) 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

2) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=10 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 1.194E+02 J
 * -b) 1.314E+02 J
 * -c) 1.445E+02 J
 * +d) 1.589E+02 J
 * -e) 1.748E+02 J

3) A 12.0 V battery can move 29,000 C of charge. How many Joules does it deliver?


 * -a) 2.615E+05 J
 * -b) 2.876E+05 J
 * -c) 3.164E+05 J
 * +d) 3.480E+05 J
 * -e) 3.828E+05 J

4) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?


 * -a) 2.659E+18 electrons
 * -b) 2.925E+18 electrons
 * +c) 3.217E+18 electrons
 * -d) 3.539E+18 electrons
 * -e) 3.893E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 81 V.


 * -a) 4.411E+06 m/s
 * -b) 4.853E+06 m/s
 * +c) 5.338E+06 m/s
 * -d) 5.872E+06 m/s
 * -e) 6.459E+06 m/s

6) 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

7) 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

8) A Van de Graff generator has a 124 cm diameter metal sphere that produces 270 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.539E+01 &mu;C
 * -b) 1.693E+01 &mu;C
 * +c) 1.863E+01 &mu;C
 * -d) 2.049E+01 &mu;C
 * -e) 2.254E+01 &mu;C

9) A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 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=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.


 * -a) 4.590E+02 V
 * -b) 5.049E+02 V
 * -c) 5.554E+02 V
 * +d) 6.109E+02 V
 * -e) 6.720E+02 V

10) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=83 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.378E+00 m
 * +b) 1.516E+00 m
 * -c) 1.668E+00 m
 * -d) 1.834E+00 m
 * -e) 2.018E+00 m

11) 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

Key: O1
1) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 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=3.51 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) 5.261E+02 V
 * -b) 5.787E+02 V
 * +c) 6.365E+02 V
 * -d) 7.002E+02 V
 * -e) 7.702E+02 V

2) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=


 * +a) 2.420E+00 m
 * -b) 2.662E+00 m
 * -c) 2.928E+00 m
 * -d) 3.221E+00 m
 * -e) 3.543E+00 m

3) A 2 C charge is separated from a 6 C charge by distance of 13 cm.  What is the work done by increasing this separation to 16 cm?


 * +a) 1.556E-07 J
 * -b) 1.711E-07 J
 * -c) 1.882E-07 J
 * -d) 2.070E-07 J
 * -e) 2.277E-07 J

4) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?


 * -a) 4.723E-01 mm
 * -b) 5.432E-01 mm
 * -c) 6.246E-01 mm
 * -d) 7.183E-01 mm
 * +e) 8.261E-01 mm

5) 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  (9 cm, 0&deg;) and  P2 is at (12 cm, 15&deg;).


 * +a) 4.244E+02 V
 * -b) 4.669E+02 V
 * -c) 5.135E+02 V
 * -d) 5.649E+02 V
 * -e) 6.214E+02 V

6) 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

7) 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

8) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * -a) 7.397E+17 electrons
 * -b) 8.137E+17 electrons
 * -c) 8.951E+17 electrons
 * -d) 9.846E+17 electrons
 * +e) 1.083E+18 electrons

9) 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

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 81 V.


 * -a) 4.411E+06 m/s
 * -b) 4.853E+06 m/s
 * +c) 5.338E+06 m/s
 * -d) 5.872E+06 m/s
 * -e) 6.459E+06 m/s

11) A 12.0 V battery can move 29,000 C of charge. How many Joules does it deliver?


 * -a) 2.615E+05 J
 * -b) 2.876E+05 J
 * -c) 3.164E+05 J
 * +d) 3.480E+05 J
 * -e) 3.828E+05 J

Key: O2
1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 69 V.


 * -a) 3.365E+06 m/s
 * -b) 3.701E+06 m/s
 * -c) 4.072E+06 m/s
 * -d) 4.479E+06 m/s
 * +e) 4.927E+06 m/s

2) A 3 C charge is separated from a 11 C charge by distance of 12 cm.  What is the work done by increasing this separation to 19 cm?


 * -a) 8.278E-07 J
 * +b) 9.106E-07 J
 * -c) 1.002E-06 J
 * -d) 1.102E-06 J
 * -e) 1.212E-06 J

3) A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.500E+01 &mu;C
 * -b) 1.650E+01 &mu;C
 * -c) 1.815E+01 &mu;C
 * -d) 1.997E+01 &mu;C
 * +e) 2.196E+01 &mu;C

4) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?


 * -a) 3.570E+05 J
 * -b) 3.927E+05 J
 * +c) 4.320E+05 J
 * -d) 4.752E+05 J
 * -e) 5.227E+05 J

5) 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

6) An electron gun has parallel plates separated by 4.95 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.516 &mu;C charge that gets between the plates?


 * +a) 1.355E-01 N
 * -b) 1.491E-01 N
 * -c) 1.640E-01 N
 * -d) 1.804E-01 N
 * -e) 1.984E-01 N

7) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?


 * -a) 1.749E+18 electrons
 * -b) 1.924E+18 electrons
 * -c) 2.117E+18 electrons
 * +d) 2.328E+18 electrons
 * -e) 2.561E+18 electrons

8) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 4.235E+01 J
 * +b) 4.659E+01 J
 * -c) 5.125E+01 J
 * -d) 5.637E+01 J
 * -e) 6.201E+01 J

9) Assume that a 25 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 (13 cm, 70&deg;).


 * -a) 2.285E+03 V
 * -b) 2.514E+03 V
 * +c) 2.765E+03 V
 * -d) 3.042E+03 V
 * -e) 3.346E+03 V

10) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x2 + y2 + z2 = R2, where R=


 * -a) 5.169E+00 m
 * -b) 5.686E+00 m
 * -c) 6.255E+00 m
 * -d) 6.880E+00 m
 * +e) 7.568E+00 m

11) 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

Key: P0
1) 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

2) 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

3) 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

4) 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

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 69 V.


 * -a) 3.365E+06 m/s
 * -b) 3.701E+06 m/s
 * -c) 4.072E+06 m/s
 * -d) 4.479E+06 m/s
 * +e) 4.927E+06 m/s

6) An electron gun has parallel plates separated by 4.24 cm and gives electrons 48 keV of energy. What force would the field between the plates exert on a 0.48 &mu;C charge that gets between the plates?


 * +a) 5.434E-01 N
 * -b) 5.977E-01 N
 * -c) 6.575E-01 N
 * -d) 7.233E-01 N
 * -e) 7.956E-01 N

7) Assume that a 22 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 (12 cm, 53&deg;).


 * +a) 5.492E+02 V
 * -b) 6.042E+02 V
 * -c) 6.646E+02 V
 * -d) 7.310E+02 V
 * -e) 8.041E+02 V

8) A Van de Graff generator has a 114 cm diameter metal sphere that produces 275 kV near its surface. What  is the excess charge on the sphere?


 * +a) 1.744E+01 &mu;C
 * -b) 1.918E+01 &mu;C
 * -c) 2.110E+01 &mu;C
 * -d) 2.321E+01 &mu;C
 * -e) 2.554E+01 &mu;C

9) A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 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=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.


 * -a) 4.104E+02 V
 * -b) 4.514E+02 V
 * -c) 4.965E+02 V
 * -d) 5.462E+02 V
 * +e) 6.008E+02 V

10) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=


 * +a) 2.420E+00 m
 * -b) 2.662E+00 m
 * -c) 2.928E+00 m
 * -d) 3.221E+00 m
 * -e) 3.543E+00 m

11) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * -a) 5.431E-01 mm
 * -b) 6.245E-01 mm
 * +c) 7.182E-01 mm
 * -d) 8.260E-01 mm
 * -e) 9.499E-01 mm

Key: P1
1) A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.07 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=3.88 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) 2.164E+02 V
 * -b) 2.381E+02 V
 * -c) 2.619E+02 V
 * +d) 2.880E+02 V
 * -e) 3.168E+02 V

2) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.598E+00 m
 * -b) 1.757E+00 m
 * -c) 1.933E+00 m
 * -d) 2.127E+00 m
 * +e) 2.339E+00 m

3) A 8 C charge is separated from a 12 C charge by distance of 9 cm.  What is the work done by increasing this separation to 18 cm?


 * -a) 3.274E-06 J
 * -b) 3.601E-06 J
 * -c) 3.961E-06 J
 * -d) 4.358E-06 J
 * +e) 4.793E-06 J

4) Two large parallel conducting plates are separated by 8.13 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 92 V?


 * -a) 9.394E-01 mm
 * +b) 1.080E+00 mm
 * -c) 1.242E+00 mm
 * -d) 1.429E+00 mm
 * -e) 1.643E+00 mm

5) 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

6) 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

7) An electron gun has parallel plates separated by 3.39 cm and gives electrons 57 keV of energy. What force would the field between the plates exert on a 0.218 &mu;C charge that gets between the plates?


 * -a) 3.029E-01 N
 * -b) 3.332E-01 N
 * +c) 3.665E-01 N
 * -d) 4.032E-01 N
 * -e) 4.435E-01 N

8) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=6 &mu;C, and q4=8 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 2.343E+01 J
 * +b) 2.577E+01 J
 * -c) 2.835E+01 J
 * -d) 3.118E+01 J
 * -e) 3.430E+01 J

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 27 V.


 * -a) 2.802E+06 m/s
 * +b) 3.082E+06 m/s
 * -c) 3.390E+06 m/s
 * -d) 3.729E+06 m/s
 * -e) 4.102E+06 m/s

10) When a 6.32 V battery operates a 1.94 W bulb, how many electrons pass through it each second?


 * -a) 1.439E+18 electrons
 * -b) 1.583E+18 electrons
 * -c) 1.742E+18 electrons
 * +d) 1.916E+18 electrons
 * -e) 2.107E+18 electrons

11) A Van de Graff generator has a 149 cm diameter metal sphere that produces 172 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.071E+01 &mu;C
 * -b) 1.178E+01 &mu;C
 * -c) 1.296E+01 &mu;C
 * +d) 1.426E+01 &mu;C
 * -e) 1.568E+01 &mu;C

Key: P2
1) 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

2) Two large parallel conducting plates are separated by 7.83 mm. Equal and opposite surface charges of 7.530E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 86 V?


 * -a) 8.793E-01 mm
 * +b) 1.011E+00 mm
 * -c) 1.163E+00 mm
 * -d) 1.337E+00 mm
 * -e) 1.538E+00 mm

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 81 V.


 * -a) 4.411E+06 m/s
 * -b) 4.853E+06 m/s
 * +c) 5.338E+06 m/s
 * -d) 5.872E+06 m/s
 * -e) 6.459E+06 m/s

4) A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.388E+01 &mu;C
 * -b) 1.527E+01 &mu;C
 * -c) 1.680E+01 &mu;C
 * -d) 1.848E+01 &mu;C
 * +e) 2.033E+01 &mu;C

5) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=6 &mu;C, q3=8 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.819E+01 J
 * -b) 4.201E+01 J
 * +c) 4.621E+01 J
 * -d) 5.083E+01 J
 * -e) 5.591E+01 J

6) 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

7) Assume that a 25 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 (13 cm, 70&deg;).


 * -a) 2.285E+03 V
 * -b) 2.514E+03 V
 * +c) 2.765E+03 V
 * -d) 3.042E+03 V
 * -e) 3.346E+03 V

8) An electron gun has parallel plates separated by 4.36 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.816 &mu;C charge that gets between the plates?


 * -a) 2.212E-01 N
 * +b) 2.433E-01 N
 * -c) 2.676E-01 N
 * -d) 2.944E-01 N
 * -e) 3.238E-01 N

9) If a 29 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=81 V is x2 + y2 + z2 = R2, where R=


 * +a) 3.218E+00 m
 * -b) 3.540E+00 m
 * -c) 3.893E+00 m
 * -d) 4.283E+00 m
 * -e) 4.711E+00 m

10) A 2 C charge is separated from a 6 C charge by distance of 13 cm.  What is the work done by increasing this separation to 16 cm?


 * +a) 1.556E-07 J
 * -b) 1.711E-07 J
 * -c) 1.882E-07 J
 * -d) 2.070E-07 J
 * -e) 2.277E-07 J

11) When a 2.59 V battery operates a 2.89 W bulb, how many electrons pass through it each second?


 * -a) 5.756E+18 electrons
 * -b) 6.331E+18 electrons
 * +c) 6.964E+18 electrons
 * -d) 7.661E+18 electrons
 * -e) 8.427E+18 electrons

Key: Q0
1) 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

2) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=10 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 1.194E+02 J
 * -b) 1.314E+02 J
 * -c) 1.445E+02 J
 * +d) 1.589E+02 J
 * -e) 1.748E+02 J

3) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?


 * -a) 1.967E+05 J
 * -b) 2.164E+05 J
 * -c) 2.380E+05 J
 * -d) 2.618E+05 J
 * +e) 2.880E+05 J

4) 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

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 30 V.


 * -a) 2.441E+06 m/s
 * -b) 2.685E+06 m/s
 * -c) 2.953E+06 m/s
 * +d) 3.249E+06 m/s
 * -e) 3.573E+06 m/s

6) An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 &mu;C charge that gets between the plates?


 * -a) 1.767E-01 N
 * -b) 1.944E-01 N
 * -c) 2.138E-01 N
 * -d) 2.352E-01 N
 * +e) 2.587E-01 N

7) 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

8) A Van de Graff generator has a 124 cm diameter metal sphere that produces 270 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.539E+01 &mu;C
 * -b) 1.693E+01 &mu;C
 * +c) 1.863E+01 &mu;C
 * -d) 2.049E+01 &mu;C
 * -e) 2.254E+01 &mu;C

9) 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

10) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.422E+00 m
 * -b) 1.564E+00 m
 * -c) 1.720E+00 m
 * +d) 1.892E+00 m
 * -e) 2.081E+00 m

11) 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

Key: Q1
1) Assume that a 11 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 (12 cm, 14&deg;).


 * -a) 1.876E+02 V
 * -b) 2.063E+02 V
 * -c) 2.270E+02 V
 * -d) 2.497E+02 V
 * +e) 2.746E+02 V

2) If a 13 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=84 V is x2 + y2 + z2 = R2, where R=


 * +a) 1.391E+00 m
 * -b) 1.530E+00 m
 * -c) 1.683E+00 m
 * -d) 1.851E+00 m
 * -e) 2.036E+00 m

3) 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=3 &mu;C, q2=6 &mu;C, q3=9 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 7.789E+01 J
 * +b) 8.568E+01 J
 * -c) 9.425E+01 J
 * -d) 1.037E+02 J
 * -e) 1.140E+02 J

4) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?


 * +a) 4.200E+05 J
 * -b) 4.620E+05 J
 * -c) 5.082E+05 J
 * -d) 5.590E+05 J
 * -e) 6.149E+05 J

5) When a 2.59 V battery operates a 2.89 W bulb, how many electrons pass through it each second?


 * -a) 5.756E+18 electrons
 * -b) 6.331E+18 electrons
 * +c) 6.964E+18 electrons
 * -d) 7.661E+18 electrons
 * -e) 8.427E+18 electrons

6) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * -a) 3.617E+06 m/s
 * +b) 3.979E+06 m/s
 * -c) 4.376E+06 m/s
 * -d) 4.814E+06 m/s
 * -e) 5.296E+06 m/s

7) A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.500E+01 &mu;C
 * -b) 1.650E+01 &mu;C
 * -c) 1.815E+01 &mu;C
 * -d) 1.997E+01 &mu;C
 * +e) 2.196E+01 &mu;C

8) Two large parallel conducting plates are separated by 6.86 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 79 V?


 * -a) 6.100E-01 mm
 * -b) 7.015E-01 mm
 * -c) 8.067E-01 mm
 * +d) 9.277E-01 mm
 * -e) 1.067E+00 mm

9) An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 &mu;C charge that gets between the plates?


 * -a) 1.767E-01 N
 * -b) 1.944E-01 N
 * -c) 2.138E-01 N
 * -d) 2.352E-01 N
 * +e) 2.587E-01 N

10) A 2 C charge is separated from a 6 C charge by distance of 13 cm.  What is the work done by increasing this separation to 16 cm?


 * +a) 1.556E-07 J
 * -b) 1.711E-07 J
 * -c) 1.882E-07 J
 * -d) 2.070E-07 J
 * -e) 2.277E-07 J

11) 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

Key: Q2
1) 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

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=6 &mu;C, and q4=8 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 2.343E+01 J
 * +b) 2.577E+01 J
 * -c) 2.835E+01 J
 * -d) 3.118E+01 J
 * -e) 3.430E+01 J

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 81 V.


 * -a) 4.411E+06 m/s
 * -b) 4.853E+06 m/s
 * +c) 5.338E+06 m/s
 * -d) 5.872E+06 m/s
 * -e) 6.459E+06 m/s

4) Assume that a 26 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, 42&deg;).


 * -a) 7.263E+02 V
 * +b) 7.989E+02 V
 * -c) 8.788E+02 V
 * -d) 9.667E+02 V
 * -e) 1.063E+03 V

5) 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

6) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?


 * +a) 1.838E+18 electrons
 * -b) 2.022E+18 electrons
 * -c) 2.224E+18 electrons
 * -d) 2.446E+18 electrons
 * -e) 2.691E+18 electrons

7) A 12.0 V battery can move 26,000 C of charge. How many Joules does it deliver?


 * -a) 2.836E+05 J
 * +b) 3.120E+05 J
 * -c) 3.432E+05 J
 * -d) 3.775E+05 J
 * -e) 4.153E+05 J

8) A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.205E+01 &mu;C
 * +b) 1.326E+01 &mu;C
 * -c) 1.459E+01 &mu;C
 * -d) 1.604E+01 &mu;C
 * -e) 1.765E+01 &mu;C

9) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 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=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.134E+02 V
 * -b) 5.648E+02 V
 * -c) 6.212E+02 V
 * -d) 6.834E+02 V
 * +e) 7.517E+02 V

10) If a 13 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=84 V is x2 + y2 + z2 = R2, where R=


 * +a) 1.391E+00 m
 * -b) 1.530E+00 m
 * -c) 1.683E+00 m
 * -d) 1.851E+00 m
 * -e) 2.036E+00 m

11) An electron gun has parallel plates separated by 4.36 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.816 &mu;C charge that gets between the plates?


 * -a) 2.212E-01 N
 * +b) 2.433E-01 N
 * -c) 2.676E-01 N
 * -d) 2.944E-01 N
 * -e) 3.238E-01 N

Key: R0
1) A 7 C charge is separated from a 12 C charge by distance of 11 cm.  What is the work done by increasing this separation to 19 cm?


 * +a) 2.890E-06 J
 * -b) 3.179E-06 J
 * -c) 3.497E-06 J
 * -d) 3.846E-06 J
 * -e) 4.231E-06 J

2) 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

3) A 12.0 V battery can move 31,000 C of charge. How many Joules does it deliver?


 * -a) 2.541E+05 J
 * -b) 2.795E+05 J
 * -c) 3.074E+05 J
 * -d) 3.382E+05 J
 * +e) 3.720E+05 J

4) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?


 * +a) 1.838E+18 electrons
 * -b) 2.022E+18 electrons
 * -c) 2.224E+18 electrons
 * -d) 2.446E+18 electrons
 * -e) 2.691E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * -a) 3.288E+06 m/s
 * -b) 3.617E+06 m/s
 * +c) 3.979E+06 m/s
 * -d) 4.376E+06 m/s
 * -e) 4.814E+06 m/s

6) 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

7) 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

8) A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What  is the excess charge on the sphere?


 * -a) 9.129E+00 &mu;C
 * +b) 1.004E+01 &mu;C
 * -c) 1.105E+01 &mu;C
 * -d) 1.215E+01 &mu;C
 * -e) 1.337E+01 &mu;C

9) A diploe has a charge magnitude of q=4 nC and a separation distance of d=3.79 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=3.2 cm, y=1.9 cm)? Note that following the textbook's example, the y-value of the field point at 1.9 cm matches the disance of the positive charge above the x-axis.


 * -a) 2.731E+02 V
 * -b) 3.004E+02 V
 * -c) 3.304E+02 V
 * -d) 3.634E+02 V
 * +e) 3.998E+02 V

10) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=


 * +a) 2.420E+00 m
 * -b) 2.662E+00 m
 * -c) 2.928E+00 m
 * -d) 3.221E+00 m
 * -e) 3.543E+00 m

11) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?


 * -a) 3.799E-01 mm
 * -b) 4.368E-01 mm
 * -c) 5.024E-01 mm
 * -d) 5.777E-01 mm
 * +e) 6.644E-01 mm

Key: R1
1) A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What  is the excess charge on the sphere?


 * -a) 9.129E+00 &mu;C
 * +b) 1.004E+01 &mu;C
 * -c) 1.105E+01 &mu;C
 * -d) 1.215E+01 &mu;C
 * -e) 1.337E+01 &mu;C

2) Assume that a 15 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 (14 cm, 77&deg;).


 * -a) 1.184E+03 V
 * -b) 1.302E+03 V
 * -c) 1.432E+03 V
 * -d) 1.576E+03 V
 * +e) 1.733E+03 V

3) An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 &mu;C charge that gets between the plates?


 * -a) 8.430E-01 N
 * -b) 9.273E-01 N
 * +c) 1.020E+00 N
 * -d) 1.122E+00 N
 * -e) 1.234E+00 N

4) 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

5) 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

6) A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 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=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.


 * -a) 4.104E+02 V
 * -b) 4.514E+02 V
 * -c) 4.965E+02 V
 * -d) 5.462E+02 V
 * +e) 6.008E+02 V

7) 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

8) A 12.0 V battery can move 32,000 C of charge. How many Joules does it deliver?


 * -a) 2.885E+05 J
 * -b) 3.174E+05 J
 * -c) 3.491E+05 J
 * +d) 3.840E+05 J
 * -e) 4.224E+05 J

9) A 3 C charge is separated from a 11 C charge by distance of 12 cm.  What is the work done by increasing this separation to 19 cm?


 * -a) 8.278E-07 J
 * +b) 9.106E-07 J
 * -c) 1.002E-06 J
 * -d) 1.102E-06 J
 * -e) 1.212E-06 J

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * -a) 3.031E+06 m/s
 * -b) 3.335E+06 m/s
 * -c) 3.668E+06 m/s
 * -d) 4.035E+06 m/s
 * +e) 4.438E+06 m/s

11) 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

Key: R2
1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.


 * -a) 3.031E+06 m/s
 * -b) 3.335E+06 m/s
 * -c) 3.668E+06 m/s
 * -d) 4.035E+06 m/s
 * +e) 4.438E+06 m/s

2) 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

3) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?


 * -a) 2.659E+18 electrons
 * -b) 2.925E+18 electrons
 * +c) 3.217E+18 electrons
 * -d) 3.539E+18 electrons
 * -e) 3.893E+18 electrons

4) 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

5) 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

6) 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

7) Assume that a 23 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 (13 cm, 18&deg;).


 * -a) 1.024E+03 V
 * -b) 1.126E+03 V
 * -c) 1.239E+03 V
 * +d) 1.363E+03 V
 * -e) 1.499E+03 V

8) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?


 * -a) 4.391E-01 mm
 * -b) 5.049E-01 mm
 * -c) 5.806E-01 mm
 * -d) 6.677E-01 mm
 * +e) 7.679E-01 mm

9) A diploe has a charge magnitude of q=8 nC and a separation distance of d=3.55 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=3.43 cm, y=1.77 cm)? Note that following the textbook's example, the y-value of the field point at 1.77 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.796E+02 V
 * +b) 6.375E+02 V
 * -c) 7.013E+02 V
 * -d) 7.714E+02 V
 * -e) 8.486E+02 V

10) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.444E+01 J
 * -b) 3.789E+01 J
 * +c) 4.168E+01 J
 * -d) 4.585E+01 J
 * -e) 5.043E+01 J

11) 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

Key: S0
1) A 5 C charge is separated from a 9 C charge by distance of 14 cm.  What is the work done by increasing this separation to 18 cm?


 * -a) 4.385E-07 J
 * -b) 4.823E-07 J
 * -c) 5.306E-07 J
 * -d) 5.836E-07 J
 * +e) 6.420E-07 J

2) 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=3 &mu;C, q2=5 &mu;C, q3=7 &mu;C, and q4=10 &mu;C. How much work was required to assemble these four charges from infinity?


 * +a) 5.998E+01 J
 * -b) 6.598E+01 J
 * -c) 7.257E+01 J
 * -d) 7.983E+01 J
 * -e) 8.781E+01 J

3) A 12.0 V battery can move 30,000 C of charge. How many Joules does it deliver?


 * -a) 3.273E+05 J
 * +b) 3.600E+05 J
 * -c) 3.960E+05 J
 * -d) 4.356E+05 J
 * -e) 4.792E+05 J

4) 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

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 83 V.


 * -a) 4.466E+06 m/s
 * -b) 4.912E+06 m/s
 * +c) 5.403E+06 m/s
 * -d) 5.944E+06 m/s
 * -e) 6.538E+06 m/s

6) An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 &mu;C charge that gets between the plates?


 * -a) 3.977E-01 N
 * -b) 4.374E-01 N
 * -c) 4.812E-01 N
 * +d) 5.293E-01 N
 * -e) 5.822E-01 N

7) Assume that a 29 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 (12 cm, 77&deg;).


 * -a) 1.483E+03 V
 * -b) 1.632E+03 V
 * -c) 1.795E+03 V
 * -d) 1.975E+03 V
 * +e) 2.172E+03 V

8) A Van de Graff generator has a 72 cm diameter metal sphere that produces 285 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.038E+01 &mu;C
 * +b) 1.142E+01 &mu;C
 * -c) 1.256E+01 &mu;C
 * -d) 1.381E+01 &mu;C
 * -e) 1.519E+01 &mu;C

9) 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

10) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.598E+00 m
 * -b) 1.757E+00 m
 * -c) 1.933E+00 m
 * -d) 2.127E+00 m
 * +e) 2.339E+00 m

11) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?


 * -a) 4.391E-01 mm
 * -b) 5.049E-01 mm
 * -c) 5.806E-01 mm
 * -d) 6.677E-01 mm
 * +e) 7.679E-01 mm

Key: S1
1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * -a) 4.638E+06 m/s
 * +b) 5.102E+06 m/s
 * -c) 5.612E+06 m/s
 * -d) 6.173E+06 m/s
 * -e) 6.791E+06 m/s

2) 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

3) A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 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=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.


 * -a) 4.104E+02 V
 * -b) 4.514E+02 V
 * -c) 4.965E+02 V
 * -d) 5.462E+02 V
 * +e) 6.008E+02 V

4) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?


 * +a) 1.838E+18 electrons
 * -b) 2.022E+18 electrons
 * -c) 2.224E+18 electrons
 * -d) 2.446E+18 electrons
 * -e) 2.691E+18 electrons

5) A Van de Graff generator has a 72 cm diameter metal sphere that produces 285 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.038E+01 &mu;C
 * +b) 1.142E+01 &mu;C
 * -c) 1.256E+01 &mu;C
 * -d) 1.381E+01 &mu;C
 * -e) 1.519E+01 &mu;C

6) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=


 * -a) 2.139E+00 m
 * -b) 2.353E+00 m
 * -c) 2.588E+00 m
 * -d) 2.847E+00 m
 * +e) 3.132E+00 m

7) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.444E+01 J
 * -b) 3.789E+01 J
 * +c) 4.168E+01 J
 * -d) 4.585E+01 J
 * -e) 5.043E+01 J

8) A 12.0 V battery can move 19,000 C of charge. How many Joules does it deliver?


 * -a) 1.713E+05 J
 * -b) 1.884E+05 J
 * -c) 2.073E+05 J
 * +d) 2.280E+05 J
 * -e) 2.508E+05 J

9) An electron gun has parallel plates separated by 4.24 cm and gives electrons 48 keV of energy. What force would the field between the plates exert on a 0.48 &mu;C charge that gets between the plates?


 * +a) 5.434E-01 N
 * -b) 5.977E-01 N
 * -c) 6.575E-01 N
 * -d) 7.233E-01 N
 * -e) 7.956E-01 N

10) 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

11) Assume that a 15 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 (14 cm, 77&deg;).


 * -a) 1.184E+03 V
 * -b) 1.302E+03 V
 * -c) 1.432E+03 V
 * -d) 1.576E+03 V
 * +e) 1.733E+03 V

Key: S2
1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 11 V.


 * -a) 1.626E+06 m/s
 * -b) 1.788E+06 m/s
 * +c) 1.967E+06 m/s
 * -d) 2.164E+06 m/s
 * -e) 2.380E+06 m/s

2) A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.205E+01 &mu;C
 * +b) 1.326E+01 &mu;C
 * -c) 1.459E+01 &mu;C
 * -d) 1.604E+01 &mu;C
 * -e) 1.765E+01 &mu;C

3) A 8 C charge is separated from a 12 C charge by distance of 9 cm.  What is the work done by increasing this separation to 18 cm?


 * -a) 3.274E-06 J
 * -b) 3.601E-06 J
 * -c) 3.961E-06 J
 * -d) 4.358E-06 J
 * +e) 4.793E-06 J

4) 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

5) Assume that a 22 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 (12 cm, 53&deg;).


 * +a) 5.492E+02 V
 * -b) 6.042E+02 V
 * -c) 6.646E+02 V
 * -d) 7.310E+02 V
 * -e) 8.041E+02 V

6) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.444E+01 J
 * -b) 3.789E+01 J
 * +c) 4.168E+01 J
 * -d) 4.585E+01 J
 * -e) 5.043E+01 J

7) 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

8) An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 &mu;C charge that gets between the plates?


 * -a) 8.430E-01 N
 * -b) 9.273E-01 N
 * +c) 1.020E+00 N
 * -d) 1.122E+00 N
 * -e) 1.234E+00 N

9) 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

10) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 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=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.134E+02 V
 * -b) 5.648E+02 V
 * -c) 6.212E+02 V
 * -d) 6.834E+02 V
 * +e) 7.517E+02 V

11) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=


 * -a) 2.139E+00 m
 * -b) 2.353E+00 m
 * -c) 2.588E+00 m
 * -d) 2.847E+00 m
 * +e) 3.132E+00 m

Key: T0
1) 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

2) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=10 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 1.194E+02 J
 * -b) 1.314E+02 J
 * -c) 1.445E+02 J
 * +d) 1.589E+02 J
 * -e) 1.748E+02 J

3) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?


 * -a) 3.570E+05 J
 * -b) 3.927E+05 J
 * +c) 4.320E+05 J
 * -d) 4.752E+05 J
 * -e) 5.227E+05 J

4) When a 6.32 V battery operates a 1.94 W bulb, how many electrons pass through it each second?


 * -a) 1.439E+18 electrons
 * -b) 1.583E+18 electrons
 * -c) 1.742E+18 electrons
 * +d) 1.916E+18 electrons
 * -e) 2.107E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 30 V.


 * -a) 2.441E+06 m/s
 * -b) 2.685E+06 m/s
 * -c) 2.953E+06 m/s
 * +d) 3.249E+06 m/s
 * -e) 3.573E+06 m/s

6) An electron gun has parallel plates separated by 4.95 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.516 &mu;C charge that gets between the plates?


 * +a) 1.355E-01 N
 * -b) 1.491E-01 N
 * -c) 1.640E-01 N
 * -d) 1.804E-01 N
 * -e) 1.984E-01 N

7) Assume that a 11 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 (12 cm, 14&deg;).


 * -a) 1.876E+02 V
 * -b) 2.063E+02 V
 * -c) 2.270E+02 V
 * -d) 2.497E+02 V
 * +e) 2.746E+02 V

8) A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.500E+01 &mu;C
 * -b) 1.650E+01 &mu;C
 * -c) 1.815E+01 &mu;C
 * -d) 1.997E+01 &mu;C
 * +e) 2.196E+01 &mu;C

9) A diploe has a charge magnitude of q=4 nC and a separation distance of d=3.79 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=3.2 cm, y=1.9 cm)? Note that following the textbook's example, the y-value of the field point at 1.9 cm matches the disance of the positive charge above the x-axis.


 * -a) 2.731E+02 V
 * -b) 3.004E+02 V
 * -c) 3.304E+02 V
 * -d) 3.634E+02 V
 * +e) 3.998E+02 V

10) 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

11) Two large parallel conducting plates are separated by 6.86 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 79 V?


 * -a) 6.100E-01 mm
 * -b) 7.015E-01 mm
 * -c) 8.067E-01 mm
 * +d) 9.277E-01 mm
 * -e) 1.067E+00 mm

Key: T1
1) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 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) 1.241E+02 J
 * -b) 1.365E+02 J
 * -c) 1.501E+02 J
 * -d) 1.652E+02 J
 * -e) 1.817E+02 J

2) 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

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 6 V.


 * -a) 1.091E+06 m/s
 * -b) 1.201E+06 m/s
 * -c) 1.321E+06 m/s
 * +d) 1.453E+06 m/s
 * -e) 1.598E+06 m/s

4) 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

5) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?


 * -a) 2.659E+18 electrons
 * -b) 2.925E+18 electrons
 * +c) 3.217E+18 electrons
 * -d) 3.539E+18 electrons
 * -e) 3.893E+18 electrons

6) A 12.0 V battery can move 27,000 C of charge. How many Joules does it deliver?


 * -a) 2.213E+05 J
 * -b) 2.434E+05 J
 * -c) 2.678E+05 J
 * -d) 2.945E+05 J
 * +e) 3.240E+05 J

7) An electron gun has parallel plates separated by 4.95 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.516 &mu;C charge that gets between the plates?


 * +a) 1.355E-01 N
 * -b) 1.491E-01 N
 * -c) 1.640E-01 N
 * -d) 1.804E-01 N
 * -e) 1.984E-01 N

8) Assume that a 26 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, 42&deg;).


 * -a) 7.263E+02 V
 * +b) 7.989E+02 V
 * -c) 8.788E+02 V
 * -d) 9.667E+02 V
 * -e) 1.063E+03 V

9) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.598E+00 m
 * -b) 1.757E+00 m
 * -c) 1.933E+00 m
 * -d) 2.127E+00 m
 * +e) 2.339E+00 m

10) 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

11) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 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=3.51 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) 5.261E+02 V
 * -b) 5.787E+02 V
 * +c) 6.365E+02 V
 * -d) 7.002E+02 V
 * -e) 7.702E+02 V

Key: T2
1) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 4.235E+01 J
 * +b) 4.659E+01 J
 * -c) 5.125E+01 J
 * -d) 5.637E+01 J
 * -e) 6.201E+01 J

2) 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

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * -a) 3.288E+06 m/s
 * -b) 3.617E+06 m/s
 * +c) 3.979E+06 m/s
 * -d) 4.376E+06 m/s
 * -e) 4.814E+06 m/s

4) Two large parallel conducting plates are separated by 6.67 mm. Equal and opposite surface charges of 7.080E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 60 V?


 * -a) 6.525E-01 mm
 * +b) 7.504E-01 mm
 * -c) 8.629E-01 mm
 * -d) 9.923E-01 mm
 * -e) 1.141E+00 mm

5) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=


 * +a) 2.420E+00 m
 * -b) 2.662E+00 m
 * -c) 2.928E+00 m
 * -d) 3.221E+00 m
 * -e) 3.543E+00 m

6) 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

7) A Van de Graff generator has a 105 cm diameter metal sphere that produces 210 kV near its surface. What  is the excess charge on the sphere?


 * -a) 9.216E+00 &mu;C
 * -b) 1.014E+01 &mu;C
 * -c) 1.115E+01 &mu;C
 * +d) 1.227E+01 &mu;C
 * -e) 1.349E+01 &mu;C

8) An electron gun has parallel plates separated by 4.24 cm and gives electrons 48 keV of energy. What force would the field between the plates exert on a 0.48 &mu;C charge that gets between the plates?


 * +a) 5.434E-01 N
 * -b) 5.977E-01 N
 * -c) 6.575E-01 N
 * -d) 7.233E-01 N
 * -e) 7.956E-01 N

9) 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

10) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?


 * +a) 1.838E+18 electrons
 * -b) 2.022E+18 electrons
 * -c) 2.224E+18 electrons
 * -d) 2.446E+18 electrons
 * -e) 2.691E+18 electrons

11) A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 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=3.33 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) 4.324E+02 V
 * -b) 4.757E+02 V
 * +c) 5.232E+02 V
 * -d) 5.755E+02 V
 * -e) 6.331E+02 V

Key: U0
1) A 2 C charge is separated from a 10 C charge by distance of 8 cm.  What is the work done by increasing this separation to 14 cm?


 * -a) 8.754E-07 J
 * +b) 9.630E-07 J
 * -c) 1.059E-06 J
 * -d) 1.165E-06 J
 * -e) 1.282E-06 J

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.444E+01 J
 * -b) 3.789E+01 J
 * +c) 4.168E+01 J
 * -d) 4.585E+01 J
 * -e) 5.043E+01 J

3) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?


 * -a) 3.278E+05 J
 * -b) 3.606E+05 J
 * -c) 3.967E+05 J
 * -d) 4.364E+05 J
 * +e) 4.800E+05 J

4) When a 3.21 V battery operates a 2.38 W bulb, how many electrons pass through it each second?


 * -a) 3.161E+18 electrons
 * -b) 3.477E+18 electrons
 * -c) 3.825E+18 electrons
 * -d) 4.207E+18 electrons
 * +e) 4.628E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * +a) 5.102E+06 m/s
 * -b) 5.612E+06 m/s
 * -c) 6.173E+06 m/s
 * -d) 6.791E+06 m/s
 * -e) 7.470E+06 m/s

6) An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 &mu;C charge that gets between the plates?


 * -a) 3.977E-01 N
 * -b) 4.374E-01 N
 * -c) 4.812E-01 N
 * +d) 5.293E-01 N
 * -e) 5.822E-01 N

7) Assume that a 23 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 (13 cm, 18&deg;).


 * -a) 1.024E+03 V
 * -b) 1.126E+03 V
 * -c) 1.239E+03 V
 * +d) 1.363E+03 V
 * -e) 1.499E+03 V

8) A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.032E+01 &mu;C
 * -b) 1.135E+01 &mu;C
 * +c) 1.249E+01 &mu;C
 * -d) 1.374E+01 &mu;C
 * -e) 1.511E+01 &mu;C

9) A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.85 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=3.18 cm, y=1.93 cm)? Note that following the textbook's example, the y-value of the field point at 1.93 cm matches the disance of the positive charge above the x-axis.


 * -a) 3.866E+02 V
 * -b) 4.253E+02 V
 * -c) 4.678E+02 V
 * +d) 5.146E+02 V
 * -e) 5.661E+02 V

10) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.107E+00 m
 * -b) 1.218E+00 m
 * -c) 1.339E+00 m
 * -d) 1.473E+00 m
 * +e) 1.621E+00 m

11) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?


 * -a) 4.391E-01 mm
 * -b) 5.049E-01 mm
 * -c) 5.806E-01 mm
 * -d) 6.677E-01 mm
 * +e) 7.679E-01 mm

Key: U1
1) An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 &mu;C charge that gets between the plates?


 * -a) 8.430E-01 N
 * -b) 9.273E-01 N
 * +c) 1.020E+00 N
 * -d) 1.122E+00 N
 * -e) 1.234E+00 N

2) A 8 C charge is separated from a 12 C charge by distance of 9 cm.  What is the work done by increasing this separation to 18 cm?


 * -a) 3.274E-06 J
 * -b) 3.601E-06 J
 * -c) 3.961E-06 J
 * -d) 4.358E-06 J
 * +e) 4.793E-06 J

3) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?


 * -a) 2.659E+18 electrons
 * -b) 2.925E+18 electrons
 * +c) 3.217E+18 electrons
 * -d) 3.539E+18 electrons
 * -e) 3.893E+18 electrons

4) A Van de Graff generator has a 95 cm diameter metal sphere that produces 187 kV near its surface. What  is the excess charge on the sphere?


 * +a) 9.883E+00 &mu;C
 * -b) 1.087E+01 &mu;C
 * -c) 1.196E+01 &mu;C
 * -d) 1.315E+01 &mu;C
 * -e) 1.447E+01 &mu;C

5) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.280E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 70 V?


 * +a) 8.514E-01 mm
 * -b) 9.791E-01 mm
 * -c) 1.126E+00 mm
 * -d) 1.295E+00 mm
 * -e) 1.489E+00 mm

6) 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

7) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=10 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 1.194E+02 J
 * -b) 1.314E+02 J
 * -c) 1.445E+02 J
 * +d) 1.589E+02 J
 * -e) 1.748E+02 J

8) 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

9) Assume that a 11 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 (12 cm, 14&deg;).


 * -a) 1.876E+02 V
 * -b) 2.063E+02 V
 * -c) 2.270E+02 V
 * -d) 2.497E+02 V
 * +e) 2.746E+02 V

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 11 V.


 * -a) 1.626E+06 m/s
 * -b) 1.788E+06 m/s
 * +c) 1.967E+06 m/s
 * -d) 2.164E+06 m/s
 * -e) 2.380E+06 m/s

11) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 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=3.86 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) 6.325E+02 V
 * +b) 6.957E+02 V
 * -c) 7.653E+02 V
 * -d) 8.418E+02 V
 * -e) 9.260E+02 V

Key: U2
1) 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

2) A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.07 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=3.88 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) 2.164E+02 V
 * -b) 2.381E+02 V
 * -c) 2.619E+02 V
 * +d) 2.880E+02 V
 * -e) 3.168E+02 V

3) When a 6.24 V battery operates a 2.1 W bulb, how many electrons pass through it each second?


 * -a) 1.435E+18 electrons
 * -b) 1.578E+18 electrons
 * -c) 1.736E+18 electrons
 * -d) 1.910E+18 electrons
 * +e) 2.101E+18 electrons

4) A 5 C charge is separated from a 9 C charge by distance of 14 cm.  What is the work done by increasing this separation to 18 cm?


 * -a) 4.385E-07 J
 * -b) 4.823E-07 J
 * -c) 5.306E-07 J
 * -d) 5.836E-07 J
 * +e) 6.420E-07 J

5) A 12.0 V battery can move 27,000 C of charge. How many Joules does it deliver?


 * -a) 2.213E+05 J
 * -b) 2.434E+05 J
 * -c) 2.678E+05 J
 * -d) 2.945E+05 J
 * +e) 3.240E+05 J

6) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?


 * -a) 5.431E-01 mm
 * -b) 6.245E-01 mm
 * +c) 7.182E-01 mm
 * -d) 8.260E-01 mm
 * -e) 9.499E-01 mm

7) An electron gun has parallel plates separated by 3.39 cm and gives electrons 57 keV of energy. What force would the field between the plates exert on a 0.218 &mu;C charge that gets between the plates?


 * -a) 3.029E-01 N
 * -b) 3.332E-01 N
 * +c) 3.665E-01 N
 * -d) 4.032E-01 N
 * -e) 4.435E-01 N

8) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * -a) 4.638E+06 m/s
 * +b) 5.102E+06 m/s
 * -c) 5.612E+06 m/s
 * -d) 6.173E+06 m/s
 * -e) 6.791E+06 m/s

9) A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.032E+01 &mu;C
 * -b) 1.135E+01 &mu;C
 * +c) 1.249E+01 &mu;C
 * -d) 1.374E+01 &mu;C
 * -e) 1.511E+01 &mu;C

10) 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=3 &mu;C, q2=6 &mu;C, q3=9 &mu;C, and q4=12 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 7.789E+01 J
 * +b) 8.568E+01 J
 * -c) 9.425E+01 J
 * -d) 1.037E+02 J
 * -e) 1.140E+02 J

11) Assume that a 26 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, 42&deg;).


 * -a) 7.263E+02 V
 * +b) 7.989E+02 V
 * -c) 8.788E+02 V
 * -d) 9.667E+02 V
 * -e) 1.063E+03 V

Key: V0
1) 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

2) 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

3) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?


 * -a) 3.278E+05 J
 * -b) 3.606E+05 J
 * -c) 3.967E+05 J
 * -d) 4.364E+05 J
 * +e) 4.800E+05 J

4) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * -a) 7.397E+17 electrons
 * -b) 8.137E+17 electrons
 * -c) 8.951E+17 electrons
 * -d) 9.846E+17 electrons
 * +e) 1.083E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.


 * -a) 3.617E+06 m/s
 * +b) 3.979E+06 m/s
 * -c) 4.376E+06 m/s
 * -d) 4.814E+06 m/s
 * -e) 5.296E+06 m/s

6) An electron gun has parallel plates separated by 4.85 cm and gives electrons 36 keV of energy. What force would the field between the plates exert on a 0.663 &mu;C charge that gets between the plates?


 * -a) 3.697E-01 N
 * -b) 4.067E-01 N
 * -c) 4.474E-01 N
 * +d) 4.921E-01 N
 * -e) 5.413E-01 N

7) 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

8) A Van de Graff generator has a 72 cm diameter metal sphere that produces 285 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.038E+01 &mu;C
 * +b) 1.142E+01 &mu;C
 * -c) 1.256E+01 &mu;C
 * -d) 1.381E+01 &mu;C
 * -e) 1.519E+01 &mu;C

9) A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.39 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=3.56 cm, y=2.19 cm)? Note that following the textbook's example, the y-value of the field point at 2.19 cm matches the disance of the positive charge above the x-axis.


 * -a) 3.852E+02 V
 * -b) 4.238E+02 V
 * +c) 4.661E+02 V
 * -d) 5.127E+02 V
 * -e) 5.640E+02 V

10) If a 28 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=77 V is x2 + y2 + z2 = R2, where R=


 * -a) 2.701E+00 m
 * -b) 2.971E+00 m
 * +c) 3.268E+00 m
 * -d) 3.595E+00 m
 * -e) 3.955E+00 m

11) 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

Key: V1
1) 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  (9 cm, 0&deg;) and  P2 is at (12 cm, 15&deg;).


 * +a) 4.244E+02 V
 * -b) 4.669E+02 V
 * -c) 5.135E+02 V
 * -d) 5.649E+02 V
 * -e) 6.214E+02 V

2) A 12.0 V battery can move 31,000 C of charge. How many Joules does it deliver?


 * -a) 2.541E+05 J
 * -b) 2.795E+05 J
 * -c) 3.074E+05 J
 * -d) 3.382E+05 J
 * +e) 3.720E+05 J

3) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.444E+01 J
 * -b) 3.789E+01 J
 * +c) 4.168E+01 J
 * -d) 4.585E+01 J
 * -e) 5.043E+01 J

4) An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 &mu;C charge that gets between the plates?


 * -a) 8.206E-01 N
 * +b) 9.027E-01 N
 * -c) 9.930E-01 N
 * -d) 1.092E+00 N
 * -e) 1.201E+00 N

5) When a 2.59 V battery operates a 2.89 W bulb, how many electrons pass through it each second?


 * -a) 5.756E+18 electrons
 * -b) 6.331E+18 electrons
 * +c) 6.964E+18 electrons
 * -d) 7.661E+18 electrons
 * -e) 8.427E+18 electrons

6) If a 18 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=12 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.114E+01 m
 * -b) 1.226E+01 m
 * +c) 1.348E+01 m
 * -d) 1.483E+01 m
 * -e) 1.631E+01 m

7) A 7 C charge is separated from a 12 C charge by distance of 11 cm.  What is the work done by increasing this separation to 19 cm?


 * +a) 2.890E-06 J
 * -b) 3.179E-06 J
 * -c) 3.497E-06 J
 * -d) 3.846E-06 J
 * -e) 4.231E-06 J

8) 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

9) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?


 * -a) 4.723E-01 mm
 * -b) 5.432E-01 mm
 * -c) 6.246E-01 mm
 * -d) 7.183E-01 mm
 * +e) 8.261E-01 mm

10) A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 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=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.


 * -a) 4.104E+02 V
 * -b) 4.514E+02 V
 * -c) 4.965E+02 V
 * -d) 5.462E+02 V
 * +e) 6.008E+02 V

11) 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

Key: V2
1) A 9 C charge is separated from a 16 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * +a) 4.853E-06 J
 * -b) 5.339E-06 J
 * -c) 5.872E-06 J
 * -d) 6.460E-06 J
 * -e) 7.106E-06 J

2) 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

3) 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

4) When a 2.76 V battery operates a 2.71 W bulb, how many electrons pass through it each second?


 * -a) 5.571E+18 electrons
 * +b) 6.128E+18 electrons
 * -c) 6.741E+18 electrons
 * -d) 7.415E+18 electrons
 * -e) 8.157E+18 electrons

5) A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 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=3.51 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) 5.261E+02 V
 * -b) 5.787E+02 V
 * +c) 6.365E+02 V
 * -d) 7.002E+02 V
 * -e) 7.702E+02 V

6) Assume that a 25 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 (13 cm, 70&deg;).


 * -a) 2.285E+03 V
 * -b) 2.514E+03 V
 * +c) 2.765E+03 V
 * -d) 3.042E+03 V
 * -e) 3.346E+03 V

7) 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

8) A 12.0 V battery can move 26,000 C of charge. How many Joules does it deliver?


 * -a) 2.836E+05 J
 * +b) 3.120E+05 J
 * -c) 3.432E+05 J
 * -d) 3.775E+05 J
 * -e) 4.153E+05 J

9) A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.500E+01 &mu;C
 * -b) 1.650E+01 &mu;C
 * -c) 1.815E+01 &mu;C
 * -d) 1.997E+01 &mu;C
 * +e) 2.196E+01 &mu;C

10) 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

11) 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

Key: W0
1) 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

2) 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

3) A 12.0 V battery can move 32,000 C of charge. How many Joules does it deliver?


 * -a) 2.885E+05 J
 * -b) 3.174E+05 J
 * -c) 3.491E+05 J
 * +d) 3.840E+05 J
 * -e) 4.224E+05 J

4) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?


 * +a) 1.838E+18 electrons
 * -b) 2.022E+18 electrons
 * -c) 2.224E+18 electrons
 * -d) 2.446E+18 electrons
 * -e) 2.691E+18 electrons

5) 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

6) 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

7) Assume that a 3 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 (12 cm, 32&deg;).


 * -a) 1.857E+02 V
 * -b) 2.043E+02 V
 * +c) 2.247E+02 V
 * -d) 2.472E+02 V
 * -e) 2.719E+02 V

8) A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.205E+01 &mu;C
 * +b) 1.326E+01 &mu;C
 * -c) 1.459E+01 &mu;C
 * -d) 1.604E+01 &mu;C
 * -e) 1.765E+01 &mu;C

9) A diploe has a charge magnitude of q=8 nC and a separation distance of d=3.55 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=3.43 cm, y=1.77 cm)? Note that following the textbook's example, the y-value of the field point at 1.77 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.796E+02 V
 * +b) 6.375E+02 V
 * -c) 7.013E+02 V
 * -d) 7.714E+02 V
 * -e) 8.486E+02 V

10) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=


 * -a) 2.139E+00 m
 * -b) 2.353E+00 m
 * -c) 2.588E+00 m
 * -d) 2.847E+00 m
 * +e) 3.132E+00 m

11) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?


 * -a) 3.799E-01 mm
 * -b) 4.368E-01 mm
 * -c) 5.024E-01 mm
 * -d) 5.777E-01 mm
 * +e) 6.644E-01 mm

Key: W1
1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 11 V.


 * -a) 1.626E+06 m/s
 * -b) 1.788E+06 m/s
 * +c) 1.967E+06 m/s
 * -d) 2.164E+06 m/s
 * -e) 2.380E+06 m/s

2) 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

3) 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=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) 6.598E+01 J
 * -b) 7.258E+01 J
 * -c) 7.983E+01 J
 * +d) 8.782E+01 J
 * -e) 9.660E+01 J

4) 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

5) An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 &mu;C charge that gets between the plates?


 * -a) 8.430E-01 N
 * -b) 9.273E-01 N
 * +c) 1.020E+00 N
 * -d) 1.122E+00 N
 * -e) 1.234E+00 N

6) 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

7) A Van de Graff generator has a 107 cm diameter metal sphere that produces 219 kV near its surface. What  is the excess charge on the sphere?


 * +a) 1.304E+01 &mu;C
 * -b) 1.434E+01 &mu;C
 * -c) 1.577E+01 &mu;C
 * -d) 1.735E+01 &mu;C
 * -e) 1.909E+01 &mu;C

8) A 3 C charge is separated from a 11 C charge by distance of 12 cm.  What is the work done by increasing this separation to 19 cm?


 * -a) 8.278E-07 J
 * +b) 9.106E-07 J
 * -c) 1.002E-06 J
 * -d) 1.102E-06 J
 * -e) 1.212E-06 J

9) Assume that a 15 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 (14 cm, 77&deg;).


 * -a) 1.184E+03 V
 * -b) 1.302E+03 V
 * -c) 1.432E+03 V
 * -d) 1.576E+03 V
 * +e) 1.733E+03 V

10) 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

11) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 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=3.86 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) 6.325E+02 V
 * +b) 6.957E+02 V
 * -c) 7.653E+02 V
 * -d) 8.418E+02 V
 * -e) 9.260E+02 V

Key: W2
1) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * -a) 7.397E+17 electrons
 * -b) 8.137E+17 electrons
 * -c) 8.951E+17 electrons
 * -d) 9.846E+17 electrons
 * +e) 1.083E+18 electrons

2) A Van de Graff generator has a 105 cm diameter metal sphere that produces 210 kV near its surface. What  is the excess charge on the sphere?


 * -a) 9.216E+00 &mu;C
 * -b) 1.014E+01 &mu;C
 * -c) 1.115E+01 &mu;C
 * +d) 1.227E+01 &mu;C
 * -e) 1.349E+01 &mu;C

3) Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 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) 1.241E+02 J
 * -b) 1.365E+02 J
 * -c) 1.501E+02 J
 * -d) 1.652E+02 J
 * -e) 1.817E+02 J

4) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?


 * +a) 4.200E+05 J
 * -b) 4.620E+05 J
 * -c) 5.082E+05 J
 * -d) 5.590E+05 J
 * -e) 6.149E+05 J

5) 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

6) Assume that a 11 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 (12 cm, 14&deg;).


 * -a) 1.876E+02 V
 * -b) 2.063E+02 V
 * -c) 2.270E+02 V
 * -d) 2.497E+02 V
 * +e) 2.746E+02 V

7) 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

8) 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

9) 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

10) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?


 * -a) 3.799E-01 mm
 * -b) 4.368E-01 mm
 * -c) 5.024E-01 mm
 * -d) 5.777E-01 mm
 * +e) 6.644E-01 mm

11) 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

Key: X0
1) A 8 C charge is separated from a 13 C charge by distance of 7 cm.  What is the work done by increasing this separation to 13 cm?


 * -a) 4.209E-06 J
 * -b) 4.630E-06 J
 * -c) 5.093E-06 J
 * -d) 5.603E-06 J
 * +e) 6.163E-06 J

2) 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

3) 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

4) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * -a) 7.397E+17 electrons
 * -b) 8.137E+17 electrons
 * -c) 8.951E+17 electrons
 * -d) 9.846E+17 electrons
 * +e) 1.083E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 6 V.


 * -a) 1.091E+06 m/s
 * -b) 1.201E+06 m/s
 * -c) 1.321E+06 m/s
 * +d) 1.453E+06 m/s
 * -e) 1.598E+06 m/s

6) An electron gun has parallel plates separated by 4.24 cm and gives electrons 48 keV of energy. What force would the field between the plates exert on a 0.48 &mu;C charge that gets between the plates?


 * +a) 5.434E-01 N
 * -b) 5.977E-01 N
 * -c) 6.575E-01 N
 * -d) 7.233E-01 N
 * -e) 7.956E-01 N

7) Assume that a 3 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 (12 cm, 32&deg;).


 * -a) 1.857E+02 V
 * -b) 2.043E+02 V
 * +c) 2.247E+02 V
 * -d) 2.472E+02 V
 * -e) 2.719E+02 V

8) 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

9) 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

10) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.422E+00 m
 * -b) 1.564E+00 m
 * -c) 1.720E+00 m
 * +d) 1.892E+00 m
 * -e) 2.081E+00 m

11) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?


 * -a) 4.723E-01 mm
 * -b) 5.432E-01 mm
 * -c) 6.246E-01 mm
 * -d) 7.183E-01 mm
 * +e) 8.261E-01 mm

Key: X1
1) A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.500E+01 &mu;C
 * -b) 1.650E+01 &mu;C
 * -c) 1.815E+01 &mu;C
 * -d) 1.997E+01 &mu;C
 * +e) 2.196E+01 &mu;C

2) Two large parallel conducting plates are separated by 6.95 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 83 V?


 * -a) 6.565E-01 mm
 * -b) 7.550E-01 mm
 * -c) 8.683E-01 mm
 * +d) 9.985E-01 mm
 * -e) 1.148E+00 mm

3) 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

4) 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

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.


 * -a) 4.638E+06 m/s
 * +b) 5.102E+06 m/s
 * -c) 5.612E+06 m/s
 * -d) 6.173E+06 m/s
 * -e) 6.791E+06 m/s

6) 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

7) 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

8) 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

9) An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 &mu;C charge that gets between the plates?


 * -a) 3.977E-01 N
 * -b) 4.374E-01 N
 * -c) 4.812E-01 N
 * +d) 5.293E-01 N
 * -e) 5.822E-01 N

10) A 12.0 V battery can move 32,000 C of charge. How many Joules does it deliver?


 * -a) 2.885E+05 J
 * -b) 3.174E+05 J
 * -c) 3.491E+05 J
 * +d) 3.840E+05 J
 * -e) 4.224E+05 J

11) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 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=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.134E+02 V
 * -b) 5.648E+02 V
 * -c) 6.212E+02 V
 * -d) 6.834E+02 V
 * +e) 7.517E+02 V

Key: X2
1) Two large parallel conducting plates are separated by 6.67 mm. Equal and opposite surface charges of 7.080E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 60 V?


 * -a) 6.525E-01 mm
 * +b) 7.504E-01 mm
 * -c) 8.629E-01 mm
 * -d) 9.923E-01 mm
 * -e) 1.141E+00 mm

2) 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

3) A Van de Graff generator has a 72 cm diameter metal sphere that produces 285 kV near its surface. What  is the excess charge on the sphere?


 * -a) 1.038E+01 &mu;C
 * +b) 1.142E+01 &mu;C
 * -c) 1.256E+01 &mu;C
 * -d) 1.381E+01 &mu;C
 * -e) 1.519E+01 &mu;C

4) 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

5) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=6 &mu;C, and q4=8 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 2.343E+01 J
 * +b) 2.577E+01 J
 * -c) 2.835E+01 J
 * -d) 3.118E+01 J
 * -e) 3.430E+01 J

6) 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

7) Assume that a 29 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 (12 cm, 77&deg;).


 * -a) 1.483E+03 V
 * -b) 1.632E+03 V
 * -c) 1.795E+03 V
 * -d) 1.975E+03 V
 * +e) 2.172E+03 V

8) A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.85 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=3.18 cm, y=1.93 cm)? Note that following the textbook's example, the y-value of the field point at 1.93 cm matches the disance of the positive charge above the x-axis.


 * -a) 3.866E+02 V
 * -b) 4.253E+02 V
 * -c) 4.678E+02 V
 * +d) 5.146E+02 V
 * -e) 5.661E+02 V

9) When a 6.32 V battery operates a 1.94 W bulb, how many electrons pass through it each second?


 * -a) 1.439E+18 electrons
 * -b) 1.583E+18 electrons
 * -c) 1.742E+18 electrons
 * +d) 1.916E+18 electrons
 * -e) 2.107E+18 electrons

10) 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

11) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.107E+00 m
 * -b) 1.218E+00 m
 * -c) 1.339E+00 m
 * -d) 1.473E+00 m
 * +e) 1.621E+00 m

Key: Y0
1) A 2 C charge is separated from a 6 C charge by distance of 13 cm.  What is the work done by increasing this separation to 16 cm?


 * +a) 1.556E-07 J
 * -b) 1.711E-07 J
 * -c) 1.882E-07 J
 * -d) 2.070E-07 J
 * -e) 2.277E-07 J

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=4 &mu;C, q3=6 &mu;C, and q4=8 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 2.343E+01 J
 * +b) 2.577E+01 J
 * -c) 2.835E+01 J
 * -d) 3.118E+01 J
 * -e) 3.430E+01 J

3) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?


 * -a) 1.967E+05 J
 * -b) 2.164E+05 J
 * -c) 2.380E+05 J
 * -d) 2.618E+05 J
 * +e) 2.880E+05 J

4) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * -a) 7.397E+17 electrons
 * -b) 8.137E+17 electrons
 * -c) 8.951E+17 electrons
 * -d) 9.846E+17 electrons
 * +e) 1.083E+18 electrons

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 27 V.


 * -a) 2.802E+06 m/s
 * +b) 3.082E+06 m/s
 * -c) 3.390E+06 m/s
 * -d) 3.729E+06 m/s
 * -e) 4.102E+06 m/s

6) An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 &mu;C charge that gets between the plates?


 * -a) 8.430E-01 N
 * -b) 9.273E-01 N
 * +c) 1.020E+00 N
 * -d) 1.122E+00 N
 * -e) 1.234E+00 N

7) 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

8) 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

9) 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

10) 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

11) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.280E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 70 V?


 * +a) 8.514E-01 mm
 * -b) 9.791E-01 mm
 * -c) 1.126E+00 mm
 * -d) 1.295E+00 mm
 * -e) 1.489E+00 mm

Key: Y1
1) Assume that a 26 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, 42&deg;).


 * -a) 7.263E+02 V
 * +b) 7.989E+02 V
 * -c) 8.788E+02 V
 * -d) 9.667E+02 V
 * -e) 1.063E+03 V

2) 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

3) A Van de Graff generator has a 114 cm diameter metal sphere that produces 275 kV near its surface. What  is the excess charge on the sphere?


 * +a) 1.744E+01 &mu;C
 * -b) 1.918E+01 &mu;C
 * -c) 2.110E+01 &mu;C
 * -d) 2.321E+01 &mu;C
 * -e) 2.554E+01 &mu;C

4) 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

5) 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

6) 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

7) An electron gun has parallel plates separated by 4.36 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.816 &mu;C charge that gets between the plates?


 * -a) 2.212E-01 N
 * +b) 2.433E-01 N
 * -c) 2.676E-01 N
 * -d) 2.944E-01 N
 * -e) 3.238E-01 N

8) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 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=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.


 * -a) 5.134E+02 V
 * -b) 5.648E+02 V
 * -c) 6.212E+02 V
 * -d) 6.834E+02 V
 * +e) 7.517E+02 V

9) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?


 * -a) 3.278E+05 J
 * -b) 3.606E+05 J
 * -c) 3.967E+05 J
 * -d) 4.364E+05 J
 * +e) 4.800E+05 J

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 6 V.


 * -a) 1.091E+06 m/s
 * -b) 1.201E+06 m/s
 * -c) 1.321E+06 m/s
 * +d) 1.453E+06 m/s
 * -e) 1.598E+06 m/s

11) 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

Key: Y2
1) An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 &mu;C charge that gets between the plates?


 * -a) 8.206E-01 N
 * +b) 9.027E-01 N
 * -c) 9.930E-01 N
 * -d) 1.092E+00 N
 * -e) 1.201E+00 N

2) 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

3) 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

4) A 2 C charge is separated from a 10 C charge by distance of 10 cm.  What is the work done by increasing this separation to 16 cm?


 * -a) 6.128E-07 J
 * +b) 6.741E-07 J
 * -c) 7.415E-07 J
 * -d) 8.156E-07 J
 * -e) 8.972E-07 J

5) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=83 V is x2 + y2 + z2 = R2, where R=


 * -a) 1.378E+00 m
 * +b) 1.516E+00 m
 * -c) 1.668E+00 m
 * -d) 1.834E+00 m
 * -e) 2.018E+00 m

6) Calculate the final speed of a free electron accelerated from rest through a potential difference of 81 V.


 * -a) 4.411E+06 m/s
 * -b) 4.853E+06 m/s
 * +c) 5.338E+06 m/s
 * -d) 5.872E+06 m/s
 * -e) 6.459E+06 m/s

7) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=3 &mu;C, q2=5 &mu;C, q3=8 &mu;C, and q4=11 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 3.444E+01 J
 * -b) 3.789E+01 J
 * +c) 4.168E+01 J
 * -d) 4.585E+01 J
 * -e) 5.043E+01 J

8) Assume that a 24 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, 27&deg;).


 * -a) 5.540E+02 V
 * -b) 6.095E+02 V
 * -c) 6.704E+02 V
 * +d) 7.374E+02 V
 * -e) 8.112E+02 V

9) A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.07 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=3.88 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) 2.164E+02 V
 * -b) 2.381E+02 V
 * -c) 2.619E+02 V
 * +d) 2.880E+02 V
 * -e) 3.168E+02 V

10) When a 5.65 V battery operates a 2.73 W bulb, how many electrons pass through it each second?


 * +a) 3.016E+18 electrons
 * -b) 3.317E+18 electrons
 * -c) 3.649E+18 electrons
 * -d) 4.014E+18 electrons
 * -e) 4.415E+18 electrons

11) 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

Key: Z0
1) 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

2) Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.)  The charges are q1=4 &mu;C, q2=7 &mu;C, q3=8 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 4.235E+01 J
 * +b) 4.659E+01 J
 * -c) 5.125E+01 J
 * -d) 5.637E+01 J
 * -e) 6.201E+01 J

3) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?


 * +a) 4.200E+05 J
 * -b) 4.620E+05 J
 * -c) 5.082E+05 J
 * -d) 5.590E+05 J
 * -e) 6.149E+05 J

4) 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

5) 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

6) An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 &mu;C charge that gets between the plates?


 * -a) 3.977E-01 N
 * -b) 4.374E-01 N
 * -c) 4.812E-01 N
 * +d) 5.293E-01 N
 * -e) 5.822E-01 N

7) Assume that a 11 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 (12 cm, 14&deg;).


 * -a) 1.876E+02 V
 * -b) 2.063E+02 V
 * -c) 2.270E+02 V
 * -d) 2.497E+02 V
 * +e) 2.746E+02 V

8) 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

9) A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 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=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.


 * -a) 4.104E+02 V
 * -b) 4.514E+02 V
 * -c) 4.965E+02 V
 * -d) 5.462E+02 V
 * +e) 6.008E+02 V

10) 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

11) 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

Key: Z1
1) Assume that a 24 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, 27&deg;).


 * -a) 5.540E+02 V
 * -b) 6.095E+02 V
 * -c) 6.704E+02 V
 * +d) 7.374E+02 V
 * -e) 8.112E+02 V

2) A Van de Graff generator has a 76 cm diameter metal sphere that produces 193 kV near its surface. What  is the excess charge on the sphere?


 * -a) 7.418E+00 &mu;C
 * +b) 8.160E+00 &mu;C
 * -c) 8.976E+00 &mu;C
 * -d) 9.874E+00 &mu;C
 * -e) 1.086E+01 &mu;C

3) A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 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=3.86 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) 6.325E+02 V
 * +b) 6.957E+02 V
 * -c) 7.653E+02 V
 * -d) 8.418E+02 V
 * -e) 9.260E+02 V

4) A 12.0 V battery can move 12,000 C of charge. How many Joules does it deliver?


 * -a) 1.190E+05 J
 * -b) 1.309E+05 J
 * +c) 1.440E+05 J
 * -d) 1.584E+05 J
 * -e) 1.742E+05 J

5) 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

6) 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

7) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?


 * -a) 7.397E+17 electrons
 * -b) 8.137E+17 electrons
 * -c) 8.951E+17 electrons
 * -d) 9.846E+17 electrons
 * +e) 1.083E+18 electrons

8) 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=5 &mu;C, q3=6 &mu;C, and q4=9 &mu;C. How much work was required to assemble these four charges from infinity?


 * -a) 2.617E+01 J
 * -b) 2.879E+01 J
 * -c) 3.167E+01 J
 * -d) 3.484E+01 J
 * +e) 3.832E+01 J

9) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?


 * -a) 4.391E-01 mm
 * -b) 5.049E-01 mm
 * -c) 5.806E-01 mm
 * -d) 6.677E-01 mm
 * +e) 7.679E-01 mm

10) 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

11) 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

Key: Z2
1) 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

2) A 7 C charge is separated from a 15 C charge by distance of 14 cm.  What is the work done by increasing this separation to 20 cm?


 * -a) 1.519E-06 J
 * -b) 1.671E-06 J
 * -c) 1.838E-06 J
 * +d) 2.022E-06 J
 * -e) 2.224E-06 J

3) Assume that a 29 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 (12 cm, 77&deg;).


 * -a) 1.483E+03 V
 * -b) 1.632E+03 V
 * -c) 1.795E+03 V
 * -d) 1.975E+03 V
 * +e) 2.172E+03 V

4) 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

5) A 12.0 V battery can move 29,000 C of charge. How many Joules does it deliver?


 * -a) 2.615E+05 J
 * -b) 2.876E+05 J
 * -c) 3.164E+05 J
 * +d) 3.480E+05 J
 * -e) 3.828E+05 J

6) 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

7) 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

8) Calculate the final speed of a free electron accelerated from rest through a potential difference of 11 V.


 * -a) 1.626E+06 m/s
 * -b) 1.788E+06 m/s
 * +c) 1.967E+06 m/s
 * -d) 2.164E+06 m/s
 * -e) 2.380E+06 m/s

9) If a 29 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=81 V is x2 + y2 + z2 = R2, where R=


 * +a) 3.218E+00 m
 * -b) 3.540E+00 m
 * -c) 3.893E+00 m
 * -d) 4.283E+00 m
 * -e) 4.711E+00 m

10) A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What  is the excess charge on the sphere?


 * -a) 9.129E+00 &mu;C
 * +b) 1.004E+01 &mu;C
 * -c) 1.105E+01 &mu;C
 * -d) 1.215E+01 &mu;C
 * -e) 1.337E+01 &mu;C

11) 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