Physics equations/19-Electric Potential and Electric Field/Q:UsingGaussLaw/testbank

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B

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 /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

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) none of these are correct
d) \varepsilon_0 E = H\rho /2
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) 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

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) none of these are correct
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) 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

6. 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

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C

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 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 /3
d) r^2\varepsilon_0 E=r^3\rho /2
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 = 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

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 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

6. 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

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D

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) 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

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 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

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= H\rho
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) 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

6. 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

Your score is 0 / 0

E

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 /2
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/3
d) r^2\varepsilon_0 E=r^3\rho /2
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) 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

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) \varepsilon_0 E= \rho z
d) none of these are correct
e) \varepsilon_0 E= H\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 /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

6. 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

Your score is 0 / 0
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