(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.

(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.

(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.

(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. .

(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.

(8) True and false

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

R1 R2