Quizbank/Electricity and Magnetism: Gauss' Law/T1

calcPhyEM_2GaussQuizzes/T1 ID153728160820

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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

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

60 Tests = 3 versions x 20 variations: Each of the 20 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-calcPhyEM_2GaussQuizzes-T1.pdf

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T1 A0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) $$\varepsilon_0 E = H\rho /2$$
 * b) none of these are correct
 * c) $$\varepsilon_0 E=   \rho z $$
 * d) $$\varepsilon_0 E=  H\rho $$
 * e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

T1 A1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) $$\varepsilon_0 E=  H\rho $$
 * b) none of these are correct
 * c) $$\varepsilon_0 E = H\rho /2$$
 * d) $$\varepsilon_0 E=  H\rho z$$
 * e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

T1 A2
1) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * a) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * c) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * d) none of these are correct
 * e) $$ r^2\varepsilon_0 E=R^3\rho /3$$

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

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

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

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

T1 B0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=  H\rho z$$
 * b) none of these are correct
 * c) $$\varepsilon_0 E = H\rho /2$$
 * d) $$\varepsilon_0 E=  H\rho $$
 * e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

T1 B1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * a) $$2R\varepsilon_0 E=  r^2\rho $$
 * b) $$2\varepsilon_0 E = r\rho $$
 * c) $$2r\varepsilon_0 E = R^2\rho $$
 * d) none of these are correct
 * e) $$2r^2\varepsilon_0 E= R^3  \rho $$

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

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

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

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

T1 B2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * a) $$2R\varepsilon_0 E=  r^2\rho $$
 * b) none of these are correct
 * c) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * d) $$2r\varepsilon_0 E = R^2\rho $$
 * e) $$2\varepsilon_0 E = r\rho $$

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

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

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

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

T1 C0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E = H\rho /2$$
 * b) none of these are correct
 * c) $$\varepsilon_0 E=   \rho z $$
 * d) $$\varepsilon_0 E=  H\rho z$$
 * e) $$\varepsilon_0 E=  H\rho $$

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

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

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

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

T1 C1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * a) $$2\varepsilon_0 E = r\rho $$
 * b) none of these are correct
 * c) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * d) $$2R\varepsilon_0 E=  r^2\rho $$
 * e) $$2r\varepsilon_0 E = R^2\rho $$

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

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

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

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

T1 C2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * a) $$2r\varepsilon_0 E = R^2\rho $$
 * b) none of these are correct
 * c) $$2\varepsilon_0 E = r\rho $$
 * d) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * e) $$2R\varepsilon_0 E=  r^2\rho $$

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

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

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

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

T1 D0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) $$\varepsilon_0 E=  H\rho $$
 * b) $$\varepsilon_0 E=   \rho z $$
 * c) none of these are correct
 * d) $$\varepsilon_0 E = H\rho /2$$
 * e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

T1 D1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * a) none of these are correct
 * b) $$2r\varepsilon_0 E = R^2\rho $$
 * c) $$2\varepsilon_0 E = r\rho $$
 * d) $$2R\varepsilon_0 E=  r^2\rho $$
 * e) $$2r^2\varepsilon_0 E= R^3  \rho $$

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

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

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

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

T1 D2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) $$\varepsilon_0 E = H\rho /2$$
 * b) none of these are correct
 * c) $$\varepsilon_0 E=  H\rho $$
 * d) $$\varepsilon_0 E=   \rho z $$
 * e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

T1 E0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=   \rho z $$
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) $$\varepsilon_0 E=  H\rho $$
 * d) none of these are correct
 * e) $$\varepsilon_0 E = H\rho /2$$

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

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

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

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

T1 E1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=  H\rho z$$
 * b) $$\varepsilon_0 E = H\rho /2$$
 * c) $$\varepsilon_0 E=   \rho z $$
 * d) $$\varepsilon_0 E=  H\rho $$
 * e) none of these are correct

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

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

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

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

T1 E2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * a) $$2r\varepsilon_0 E = R^2\rho $$
 * b) none of these are correct
 * c) $$2\varepsilon_0 E = r\rho $$
 * d) $$2R\varepsilon_0 E=  r^2\rho $$
 * e) $$2r^2\varepsilon_0 E= R^3  \rho $$

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

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

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

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

T1 F0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) none of these are correct
 * b) $$\varepsilon_0 E=   \rho z $$
 * c) $$\varepsilon_0 E=  H\rho $$
 * d) $$\varepsilon_0 E=  H\rho z$$
 * e) $$\varepsilon_0 E = H\rho /2$$

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

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

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

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

T1 F1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=  H\rho z$$
 * b) $$\varepsilon_0 E = H\rho /2$$
 * c) $$\varepsilon_0 E=  H\rho $$
 * d) $$\varepsilon_0 E=   \rho z $$
 * e) none of these are correct

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

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

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

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

T1 F2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) none of these are correct
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) $$\varepsilon_0 E=  H\rho $$
 * d) $$\varepsilon_0 E = H\rho /2$$
 * e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

T1 G0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) none of these are correct
 * b) $$\varepsilon_0 E = H\rho /2$$
 * c) $$\varepsilon_0 E=  H\rho $$
 * d) $$\varepsilon_0 E=  H\rho z$$
 * e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

T1 G1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=   \rho z $$
 * b) $$\varepsilon_0 E=  H\rho $$
 * c) $$\varepsilon_0 E=  H\rho z$$
 * d) $$\varepsilon_0 E = H\rho /2$$
 * e) none of these are correct

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

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

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

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

T1 G2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) none of these are correct
 * b) $$\varepsilon_0 E=  H\rho $$
 * c) $$\varepsilon_0 E = H\rho /2$$
 * d) $$\varepsilon_0 E=   \rho z $$
 * e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

T1 H0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E = H\rho /2$$
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) $$\varepsilon_0 E=   \rho z $$
 * d) $$\varepsilon_0 E=  H\rho $$
 * e) none of these are correct

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

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

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

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

T1 H1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) $$\varepsilon_0 E=   \rho z $$
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) none of these are correct
 * d) $$\varepsilon_0 E = H\rho /2$$
 * e) $$\varepsilon_0 E=  H\rho $$

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

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

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

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

T1 H2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) $$\varepsilon_0 E=  H\rho $$
 * b) $$\varepsilon_0 E = H\rho /2$$
 * c) none of these are correct
 * d) $$\varepsilon_0 E=  H\rho z$$
 * e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

T1 I0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) none of these are correct
 * b) $$\varepsilon_0 E = H\rho /2$$
 * c) $$\varepsilon_0 E=   \rho z $$
 * d) $$\varepsilon_0 E=  H\rho z$$
 * e) $$\varepsilon_0 E=  H\rho $$

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

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

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

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

T1 I1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) $$\varepsilon_0 E = H\rho /2$$
 * b) $$\varepsilon_0 E=   \rho z $$
 * c) none of these are correct
 * d) $$\varepsilon_0 E=  H\rho $$
 * e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

T1 I2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) $$\varepsilon_0 E=  H\rho $$
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) none of these are correct
 * d) $$\varepsilon_0 E=   \rho z $$
 * e) $$\varepsilon_0 E = H\rho /2$$

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

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

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

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

T1 J0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=  H\rho z$$
 * b) none of these are correct
 * c) $$\varepsilon_0 E=  H\rho $$
 * d) $$\varepsilon_0 E = H\rho /2$$
 * e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

T1 J1
1) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * a) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * c) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * d) none of these are correct
 * e) $$ r^2\varepsilon_0 E= r^3\rho/3$$

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

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

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

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

T1 J2
1) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * a) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * b) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * c) none of these are correct
 * d) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * e) $$ r^2\varepsilon_0 E=R^3\rho /2$$

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

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

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

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

T1 K0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E = H\rho /2$$
 * b) $$\varepsilon_0 E=  H\rho $$
 * c) none of these are correct
 * d) $$\varepsilon_0 E=   \rho z $$
 * e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

T1 K1
1) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * a) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * b) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * c) none of these are correct
 * d) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * e) $$ r^2\varepsilon_0 E= r^3\rho/3$$

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

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

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

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

T1 K2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * a) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * b) $$2R\varepsilon_0 E=  r^2\rho $$
 * c) $$2r\varepsilon_0 E = R^2\rho $$
 * d) none of these are correct
 * e) $$2\varepsilon_0 E = r\rho $$

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

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

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

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

T1 L0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=  H\rho $$
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) $$\varepsilon_0 E = H\rho /2$$
 * d) none of these are correct
 * e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

T1 L1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=   \rho z $$
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) none of these are correct
 * d) $$\varepsilon_0 E = H\rho /2$$
 * e) $$\varepsilon_0 E=  H\rho $$

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

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

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

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

T1 L2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=   \rho z $$
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) $$\varepsilon_0 E = H\rho /2$$
 * d) $$\varepsilon_0 E=  H\rho $$
 * e) none of these are correct

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

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

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

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

T1 M0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=  H\rho z$$
 * b) $$\varepsilon_0 E=  H\rho $$
 * c) $$\varepsilon_0 E=   \rho z $$
 * d) none of these are correct
 * e) $$\varepsilon_0 E = H\rho /2$$

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

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

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

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

T1 M1
1) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * a) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * b) none of these are correct
 * c) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * d) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * e) $$ r^2\varepsilon_0 E=R^3\rho /2$$

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

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

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

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

T1 M2
1) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * a) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * b) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * c) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * d) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * e) none of these are correct

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

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

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

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

T1 N0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=  H\rho $$
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) $$\varepsilon_0 E=   \rho z $$
 * d) none of these are correct
 * e) $$\varepsilon_0 E = H\rho /2$$

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

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

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

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

T1 N1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * a) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * b) $$2R\varepsilon_0 E=  r^2\rho $$
 * c) $$2r\varepsilon_0 E = R^2\rho $$
 * d) none of these are correct
 * e) $$2\varepsilon_0 E = r\rho $$

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

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

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

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

T1 N2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * a) $$2r\varepsilon_0 E = R^2\rho $$
 * b) $$2\varepsilon_0 E = r\rho $$
 * c) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * d) none of these are correct
 * e) $$2R\varepsilon_0 E=  r^2\rho $$

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

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

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

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

T1 O0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=  H\rho z$$
 * b) $$\varepsilon_0 E=   \rho z $$
 * c) $$\varepsilon_0 E=  H\rho $$
 * d) $$\varepsilon_0 E = H\rho /2$$
 * e) none of these are correct

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

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

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

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

T1 O1
1) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * a) none of these are correct
 * b) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * c) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * d) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * e) $$ r^2\varepsilon_0 E=R^3\rho /2$$

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

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

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

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

T1 O2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * a) none of these are correct
 * b) $$2r\varepsilon_0 E = R^2\rho $$
 * c) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * d) $$2\varepsilon_0 E = r\rho $$
 * e) $$2R\varepsilon_0 E=  r^2\rho $$

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

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

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

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

T1 P0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=  H\rho z$$
 * b) $$\varepsilon_0 E=   \rho z $$
 * c) $$\varepsilon_0 E=  H\rho $$
 * d) $$\varepsilon_0 E = H\rho /2$$
 * e) none of these are correct

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

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

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

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

T1 P1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * a) $$2\varepsilon_0 E = r\rho $$
 * b) $$2R\varepsilon_0 E=  r^2\rho $$
 * c) $$2r\varepsilon_0 E = R^2\rho $$
 * d) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * e) none of these are correct

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

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

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

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

T1 P2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * a) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * b) $$2R\varepsilon_0 E=  r^2\rho $$
 * c) $$2r\varepsilon_0 E = R^2\rho $$
 * d) none of these are correct
 * e) $$2\varepsilon_0 E = r\rho $$

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

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

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

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

T1 Q0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=   \rho z $$
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) $$\varepsilon_0 E = H\rho /2$$
 * d) $$\varepsilon_0 E=  H\rho $$
 * e) none of these are correct

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

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

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

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

T1 Q1
1) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * a) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * c) none of these are correct
 * d) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * e) $$ r^2\varepsilon_0 E= r^3\rho/3$$

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

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

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

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

T1 Q2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * a) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * b) $$2r\varepsilon_0 E = R^2\rho $$
 * c) none of these are correct
 * d) $$2R\varepsilon_0 E=  r^2\rho $$
 * e) $$2\varepsilon_0 E = r\rho $$

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

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

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

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

T1 R0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) $$\varepsilon_0 E = H\rho /2$$
 * b) $$\varepsilon_0 E=   \rho z $$
 * c) none of these are correct
 * d) $$\varepsilon_0 E=  H\rho z$$
 * e) $$\varepsilon_0 E=  H\rho $$

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

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

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

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

T1 R1
1) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * a) none of these are correct
 * b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * c) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * d) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * e) $$ r^2\varepsilon_0 E=R^3\rho /3$$

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

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

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

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

T1 R2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) none of these are correct
 * b) $$\varepsilon_0 E=  H\rho $$
 * c) $$\varepsilon_0 E = H\rho /2$$
 * d) $$\varepsilon_0 E=   \rho z $$
 * e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

T1 S0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E = H\rho /2$$
 * b) $$\varepsilon_0 E=   \rho z $$
 * c) $$\varepsilon_0 E=  H\rho $$
 * d) none of these are correct
 * e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

T1 S1
1) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * a) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * b) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * c) none of these are correct
 * d) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * e) $$ r^2\varepsilon_0 E=R^3\rho /3$$

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

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

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

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

T1 S2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) none of these are correct
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) $$\varepsilon_0 E = H\rho /2$$
 * d) $$\varepsilon_0 E=  H\rho $$
 * e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

T1 T0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) none of these are correct
 * b) $$\varepsilon_0 E=  H\rho z$$
 * c) $$\varepsilon_0 E=   \rho z $$
 * d) $$\varepsilon_0 E = H\rho /2$$
 * e) $$\varepsilon_0 E=  H\rho $$

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

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

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

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

T1 T1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * a) $$\varepsilon_0 E=  H\rho z$$
 * b) none of these are correct
 * c) $$\varepsilon_0 E=  H\rho $$
 * d) $$\varepsilon_0 E = H\rho /2$$
 * e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

T1 T2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * a) $$\varepsilon_0 E=  H\rho z$$
 * b) $$\varepsilon_0 E=   \rho z $$
 * c) none of these are correct
 * d) $$\varepsilon_0 E = H\rho /2$$
 * e) $$\varepsilon_0 E=  H\rho $$

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

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

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

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


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 * 1) of 10 blank lines to separate exams from keys
 * 2) of 10 blank lines to separate exams from keys
 * 3) of 10 blank lines to separate exams from keys
 * 4) of 10 blank lines to separate exams from keys
 * 5) of 10 blank lines to separate exams from keys
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Key: A0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) $$\varepsilon_0 E = H\rho /2$$
 * -b) none of these are correct
 * +c) $$\varepsilon_0 E=   \rho z $$
 * -d) $$\varepsilon_0 E=  H\rho $$
 * -e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

Key: A1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) $$\varepsilon_0 E=  H\rho $$
 * -b) none of these are correct
 * -c) $$\varepsilon_0 E = H\rho /2$$
 * -d) $$\varepsilon_0 E=  H\rho z$$
 * +e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

Key: A2
1) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * -a) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * -b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * +c) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * -d) none of these are correct
 * -e) $$ r^2\varepsilon_0 E=R^3\rho /3$$

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

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

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

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

Key: B0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=  H\rho z$$
 * -b) none of these are correct
 * +c) $$\varepsilon_0 E = H\rho /2$$
 * -d) $$\varepsilon_0 E=  H\rho $$
 * -e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

Key: B1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * -a) $$2R\varepsilon_0 E=  r^2\rho $$
 * -b) $$2\varepsilon_0 E = r\rho $$
 * +c) $$2r\varepsilon_0 E = R^2\rho $$
 * -d) none of these are correct
 * -e) $$2r^2\varepsilon_0 E= R^3  \rho $$

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

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

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

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

Key: B2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * -a) $$2R\varepsilon_0 E=  r^2\rho $$
 * -b) none of these are correct
 * -c) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -d) $$2r\varepsilon_0 E = R^2\rho $$
 * +e) $$2\varepsilon_0 E = r\rho $$

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

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

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

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

Key: C0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * +a) $$\varepsilon_0 E = H\rho /2$$
 * -b) none of these are correct
 * -c) $$\varepsilon_0 E=   \rho z $$
 * -d) $$\varepsilon_0 E=  H\rho z$$
 * -e) $$\varepsilon_0 E=  H\rho $$

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

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

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

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

Key: C1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * +a) $$2\varepsilon_0 E = r\rho $$
 * -b) none of these are correct
 * -c) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -d) $$2R\varepsilon_0 E=  r^2\rho $$
 * -e) $$2r\varepsilon_0 E = R^2\rho $$

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

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

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

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

Key: C2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * +a) $$2r\varepsilon_0 E = R^2\rho $$
 * -b) none of these are correct
 * -c) $$2\varepsilon_0 E = r\rho $$
 * -d) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -e) $$2R\varepsilon_0 E=  r^2\rho $$

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

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

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

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

Key: D0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) $$\varepsilon_0 E=  H\rho $$
 * +b) $$\varepsilon_0 E=   \rho z $$
 * -c) none of these are correct
 * -d) $$\varepsilon_0 E = H\rho /2$$
 * -e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

Key: D1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * -a) none of these are correct
 * -b) $$2r\varepsilon_0 E = R^2\rho $$
 * +c) $$2\varepsilon_0 E = r\rho $$
 * -d) $$2R\varepsilon_0 E=  r^2\rho $$
 * -e) $$2r^2\varepsilon_0 E= R^3  \rho $$

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

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

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

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

Key: D2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) $$\varepsilon_0 E = H\rho /2$$
 * -b) none of these are correct
 * -c) $$\varepsilon_0 E=  H\rho $$
 * +d) $$\varepsilon_0 E=   \rho z $$
 * -e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

Key: E0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=   \rho z $$
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * -c) $$\varepsilon_0 E=  H\rho $$
 * -d) none of these are correct
 * +e) $$\varepsilon_0 E = H\rho /2$$

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

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

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

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

Key: E1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=  H\rho z$$
 * +b) $$\varepsilon_0 E = H\rho /2$$
 * -c) $$\varepsilon_0 E=   \rho z $$
 * -d) $$\varepsilon_0 E=  H\rho $$
 * -e) none of these are correct

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

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

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

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

Key: E2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * +a) $$2r\varepsilon_0 E = R^2\rho $$
 * -b) none of these are correct
 * -c) $$2\varepsilon_0 E = r\rho $$
 * -d) $$2R\varepsilon_0 E=  r^2\rho $$
 * -e) $$2r^2\varepsilon_0 E= R^3  \rho $$

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

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

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

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

Key: F0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) none of these are correct
 * -b) $$\varepsilon_0 E=   \rho z $$
 * -c) $$\varepsilon_0 E=  H\rho $$
 * -d) $$\varepsilon_0 E=  H\rho z$$
 * +e) $$\varepsilon_0 E = H\rho /2$$

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

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

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

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

Key: F1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=  H\rho z$$
 * +b) $$\varepsilon_0 E = H\rho /2$$
 * -c) $$\varepsilon_0 E=  H\rho $$
 * -d) $$\varepsilon_0 E=   \rho z $$
 * -e) none of these are correct

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

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

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

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

Key: F2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) none of these are correct
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * -c) $$\varepsilon_0 E=  H\rho $$
 * -d) $$\varepsilon_0 E = H\rho /2$$
 * +e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

Key: G0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) none of these are correct
 * +b) $$\varepsilon_0 E = H\rho /2$$
 * -c) $$\varepsilon_0 E=  H\rho $$
 * -d) $$\varepsilon_0 E=  H\rho z$$
 * -e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

Key: G1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=   \rho z $$
 * -b) $$\varepsilon_0 E=  H\rho $$
 * -c) $$\varepsilon_0 E=  H\rho z$$
 * +d) $$\varepsilon_0 E = H\rho /2$$
 * -e) none of these are correct

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

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

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

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

Key: G2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) none of these are correct
 * -b) $$\varepsilon_0 E=  H\rho $$
 * +c) $$\varepsilon_0 E = H\rho /2$$
 * -d) $$\varepsilon_0 E=   \rho z $$
 * -e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

Key: H0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * +a) $$\varepsilon_0 E = H\rho /2$$
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * -c) $$\varepsilon_0 E=   \rho z $$
 * -d) $$\varepsilon_0 E=  H\rho $$
 * -e) none of these are correct

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

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

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

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

Key: H1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * +a) $$\varepsilon_0 E=   \rho z $$
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * -c) none of these are correct
 * -d) $$\varepsilon_0 E = H\rho /2$$
 * -e) $$\varepsilon_0 E=  H\rho $$

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

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

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

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

Key: H2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) $$\varepsilon_0 E=  H\rho $$
 * -b) $$\varepsilon_0 E = H\rho /2$$
 * -c) none of these are correct
 * -d) $$\varepsilon_0 E=  H\rho z$$
 * +e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

Key: I0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) none of these are correct
 * +b) $$\varepsilon_0 E = H\rho /2$$
 * -c) $$\varepsilon_0 E=   \rho z $$
 * -d) $$\varepsilon_0 E=  H\rho z$$
 * -e) $$\varepsilon_0 E=  H\rho $$

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

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

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

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

Key: I1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) $$\varepsilon_0 E = H\rho /2$$
 * +b) $$\varepsilon_0 E=   \rho z $$
 * -c) none of these are correct
 * -d) $$\varepsilon_0 E=  H\rho $$
 * -e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

Key: I2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) $$\varepsilon_0 E=  H\rho $$
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * -c) none of these are correct
 * +d) $$\varepsilon_0 E=   \rho z $$
 * -e) $$\varepsilon_0 E = H\rho /2$$

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

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

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

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

Key: J0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=  H\rho z$$
 * -b) none of these are correct
 * -c) $$\varepsilon_0 E=  H\rho $$
 * +d) $$\varepsilon_0 E = H\rho /2$$
 * -e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

Key: J1
1) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * -a) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * -b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * +c) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * -d) none of these are correct
 * -e) $$ r^2\varepsilon_0 E= r^3\rho/3$$

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

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

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

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

Key: J2
1) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * -a) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * +b) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * -c) none of these are correct
 * -d) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * -e) $$ r^2\varepsilon_0 E=R^3\rho /2$$

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

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

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

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

Key: K0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * +a) $$\varepsilon_0 E = H\rho /2$$
 * -b) $$\varepsilon_0 E=  H\rho $$
 * -c) none of these are correct
 * -d) $$\varepsilon_0 E=   \rho z $$
 * -e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

Key: K1
1) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * -a) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * +b) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * -c) none of these are correct
 * -d) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * -e) $$ r^2\varepsilon_0 E= r^3\rho/3$$

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

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

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

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

Key: K2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * -a) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -b) $$2R\varepsilon_0 E=  r^2\rho $$
 * -c) $$2r\varepsilon_0 E = R^2\rho $$
 * -d) none of these are correct
 * +e) $$2\varepsilon_0 E = r\rho $$

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

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

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

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

Key: L0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=  H\rho $$
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * +c) $$\varepsilon_0 E = H\rho /2$$
 * -d) none of these are correct
 * -e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

Key: L1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=   \rho z $$
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * -c) none of these are correct
 * +d) $$\varepsilon_0 E = H\rho /2$$
 * -e) $$\varepsilon_0 E=  H\rho $$

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

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

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

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

Key: L2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=   \rho z $$
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * +c) $$\varepsilon_0 E = H\rho /2$$
 * -d) $$\varepsilon_0 E=  H\rho $$
 * -e) none of these are correct

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

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

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

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

Key: M0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=  H\rho z$$
 * -b) $$\varepsilon_0 E=  H\rho $$
 * -c) $$\varepsilon_0 E=   \rho z $$
 * -d) none of these are correct
 * +e) $$\varepsilon_0 E = H\rho /2$$

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

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

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

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

Key: M1
1) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * +a) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * -b) none of these are correct
 * -c) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * -d) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * -e) $$ r^2\varepsilon_0 E=R^3\rho /2$$

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

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

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

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

Key: M2
1) A sphere has a uniform charge density of $$\rho$$, and a radius equal to R. What formula describes the electric field at a distance r < R?
 * -a) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * -b) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * +c) $$ r^2\varepsilon_0 E=r^3\rho /3$$
 * -d) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * -e) none of these are correct

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

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

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

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

Key: N0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=  H\rho $$
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * -c) $$\varepsilon_0 E=   \rho z $$
 * -d) none of these are correct
 * +e) $$\varepsilon_0 E = H\rho /2$$

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

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

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

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

Key: N1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * -a) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -b) $$2R\varepsilon_0 E=  r^2\rho $$
 * +c) $$2r\varepsilon_0 E = R^2\rho $$
 * -d) none of these are correct
 * -e) $$2\varepsilon_0 E = r\rho $$

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

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

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

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

Key: N2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * -a) $$2r\varepsilon_0 E = R^2\rho $$
 * +b) $$2\varepsilon_0 E = r\rho $$
 * -c) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -d) none of these are correct
 * -e) $$2R\varepsilon_0 E=  r^2\rho $$

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

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

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

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

Key: O0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=  H\rho z$$
 * -b) $$\varepsilon_0 E=   \rho z $$
 * -c) $$\varepsilon_0 E=  H\rho $$
 * +d) $$\varepsilon_0 E = H\rho /2$$
 * -e) none of these are correct

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

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

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

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

Key: O1
1) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * -a) none of these are correct
 * -b) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * -c) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * +d) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * -e) $$ r^2\varepsilon_0 E=R^3\rho /2$$

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

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

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

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

Key: O2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * -a) none of these are correct
 * -b) $$2r\varepsilon_0 E = R^2\rho $$
 * -c) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * +d) $$2\varepsilon_0 E = r\rho $$
 * -e) $$2R\varepsilon_0 E=  r^2\rho $$

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

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

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

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

Key: P0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=  H\rho z$$
 * -b) $$\varepsilon_0 E=   \rho z $$
 * -c) $$\varepsilon_0 E=  H\rho $$
 * +d) $$\varepsilon_0 E = H\rho /2$$
 * -e) none of these are correct

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

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

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

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

Key: P1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * -a) $$2\varepsilon_0 E = r\rho $$
 * -b) $$2R\varepsilon_0 E=  r^2\rho $$
 * +c) $$2r\varepsilon_0 E = R^2\rho $$
 * -d) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -e) none of these are correct

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

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

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

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

Key: P2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r > R?
 * -a) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -b) $$2R\varepsilon_0 E=  r^2\rho $$
 * +c) $$2r\varepsilon_0 E = R^2\rho $$
 * -d) none of these are correct
 * -e) $$2\varepsilon_0 E = r\rho $$

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

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

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

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

Key: Q0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=   \rho z $$
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * +c) $$\varepsilon_0 E = H\rho /2$$
 * -d) $$\varepsilon_0 E=  H\rho $$
 * -e) none of these are correct

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

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

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

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

Key: Q1
1) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * +a) $$ r^2\varepsilon_0 E=R^3\rho /3$$
 * -b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * -c) none of these are correct
 * -d) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * -e) $$ r^2\varepsilon_0 E= r^3\rho/3$$

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

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

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

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

Key: Q2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much greater than the radius: H >> R. The electric field at the center vanishes.  What formula describes the electric field at a distance, r, radially from the center if r < R?
 * -a) $$2r^2\varepsilon_0 E= R^3  \rho $$
 * -b) $$2r\varepsilon_0 E = R^2\rho $$
 * -c) none of these are correct
 * -d) $$2R\varepsilon_0 E=  r^2\rho $$
 * +e) $$2\varepsilon_0 E = r\rho $$

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

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

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

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

Key: R0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) $$\varepsilon_0 E = H\rho /2$$
 * +b) $$\varepsilon_0 E=   \rho z $$
 * -c) none of these are correct
 * -d) $$\varepsilon_0 E=  H\rho z$$
 * -e) $$\varepsilon_0 E=  H\rho $$

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

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

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

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

Key: R1
1) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * -a) none of these are correct
 * -b) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * -c) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * -d) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * +e) $$ r^2\varepsilon_0 E=R^3\rho /3$$

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

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

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

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

Key: R2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) none of these are correct
 * -b) $$\varepsilon_0 E=  H\rho $$
 * -c) $$\varepsilon_0 E = H\rho /2$$
 * +d) $$\varepsilon_0 E=   \rho z $$
 * -e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

Key: S0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * +a) $$\varepsilon_0 E = H\rho /2$$
 * -b) $$\varepsilon_0 E=   \rho z $$
 * -c) $$\varepsilon_0 E=  H\rho $$
 * -d) none of these are correct
 * -e) $$\varepsilon_0 E=  H\rho z$$

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

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

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

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

Key: S1
1) A sphere has a uniform charge density of $$\rho$$, and a radius or R. What formula describes the electric field at a distance r > R?
 * -a) $$ r^2\varepsilon_0 E=R^3\rho /2$$
 * -b) $$ r^2\varepsilon_0 E= r^3\rho/3$$
 * -c) none of these are correct
 * -d) $$ r^2\varepsilon_0 E=r^3\rho /2$$
 * +e) $$ r^2\varepsilon_0 E=R^3\rho /3$$

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

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

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

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

Key: S2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) none of these are correct
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * +c) $$\varepsilon_0 E = H\rho /2$$
 * -d) $$\varepsilon_0 E=  H\rho $$
 * -e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

Key: T0
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) none of these are correct
 * -b) $$\varepsilon_0 E=  H\rho z$$
 * -c) $$\varepsilon_0 E=   \rho z $$
 * +d) $$\varepsilon_0 E = H\rho /2$$
 * -e) $$\varepsilon_0 E=  H\rho $$

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

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

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

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

Key: T1
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z > H/2?
 * -a) $$\varepsilon_0 E=  H\rho z$$
 * -b) none of these are correct
 * -c) $$\varepsilon_0 E=  H\rho $$
 * +d) $$\varepsilon_0 E = H\rho /2$$
 * -e) $$\varepsilon_0 E=   \rho z $$

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

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

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

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

Key: T2
1) A cylinder of radius, R, and height H has a uniform charge density of $$\rho$$. The height is much less than the radius: H << R. The electric field at the center vanishes.  What formula describes the electric field at a distance, z, on axis from the center if z < H/2?
 * -a) $$\varepsilon_0 E=  H\rho z$$
 * +b) $$\varepsilon_0 E=   \rho z $$
 * -c) none of these are correct
 * -d) $$\varepsilon_0 E = H\rho /2$$
 * -e) $$\varepsilon_0 E=  H\rho $$

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

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

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

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