A small conducting spherical shell with inner radius a and outer radius b is con

Question

A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -1q and the outer shell has a total charge of +4q. Select True or False for the following statements.

True False The total charge on the inner surface of the large shell is zero.

True False The electric field in the region r < a is zero.

True False The electric field in the region c < r < d is zero.

True False The total charge on the outer surface of the small shell is -1q.

True False The total charge on the inner surface of the small shell is -1q.

True False The total charge on the outer surface of the large shell is +3q.

True False The electric field in the region r > d is zero.

Use Gauss's Law.

Explanation / Answer

the field inside the metal part of each shell is zero. Now start with a spherical Gaussian surface centered in the inner shell and of radius just short of a. There is no charge contained in this Gaussian surface, so the electric field is 0. Next, expand the Gaussian to a radius between a and b: you are now inside the inner metal shell. Since this is a conductor, the electric field field is 0. Now let the Gaussian surface expand to a radius >b and

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