(Multiple Choice) (1) True or false: (a) Gauss's law holds only for symmetric charge distributions. (b) The...

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(Multiple Choice)

(1)

True or false:

(a) Gauss's law holds only for symmetric charge distributions.

(b) The result that E = 0 inside a conductor can be derived from Gauss's law.

(2)

True or false:

(a) If there is no charge in a region of space, the electric field on a surface surrounding the region must be zero everywhere.

(b) The electric field inside a uniformly charged spherical shell is zero.

(c) In electrostatic equilibrium, the electric field inside a conductor is zero.

(d) If the net charge on a conductor is zero, the charge density must be zero at every point on the surface of the conductor.

(3)

A point charge --Q is at the center of a spherical conducting shell of inner radius R1 and outer radius R2 as shown in Figure. The charge on the inner surface of the shell is

(a) +Q.

(b) zero.

(c) --Q.

(d) Dependent on the total charge carried by the shell.

image

(4)

For the configuration of Figure, the charge on the outer surface of the shell is

(a) +Q.

(b) Zero.

(c) --Q.

(d) Dependent on the total charge carried by the shell.

image

(5)

Suppose that the total charge on the conducting shell of Figure is zero. It follows that the electric field for r R2 points

(a) Away from the center of the shell in both regions.

(b) Toward the center of the shell in both regions.

(c) Toward the center of the shell for r R2.

(d) Away from the center of the shell for r R2.

image

(6)

If the conducting shell in Figure is grounded, which of the following statements is then correct?

(a) The charge on the inner surface of the shell is +Q and that on the outer surface is ?Q.

(b) The charge on the inner surface of the shell is +Q and that on the outer surface is zero.

(c) The charge on both surfaces of the shell is + Q.

(d) The charge on both surfaces of the shell is zero. .

image

(7)

For the configuration described in Problem 66, in which the conducting shell is grounded, the electric field for r R2 points

(a) Away from the center of the shell in both regions.

(b) Toward the center of the shell in both regions.

(c) Toward the center of the shell for r R2.

(d) Toward the center of the shell for r > R1 and is zero for r > R1.

image

(8) True and false

The electric field is discontinuous at all points at which the charge density is discontinuous.

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