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 -2q and the outer shell has a total charge of +4q.

Select True or False for the following statements.
True False  The electric field in the region c < r < d is zero.
True False  The electric field in the region r < a is zero.
True False  The total charge on the outer surface of the large shell is +2q.
True False  The electric field in the region r > d is zero.
True False  The total charge on the inner surface of the large shell is zero.
True False  The total charge on the outer surface of the small shell is -6q.
True False  The total charge on the inner surface of the small shell is -2q.

Explanation / Answer

1) since this is in coductor, E = 0

True

2) for r<a, qenc = 0, so E = 0

so true

3) so inner surface os large shell has +2q

so outer has +2q so True

4) r>d, qenc = 2q so nonzero e

so False

5) False

6) no it is -2q so false

7) no it is zero since qenc = 0 for inside conductor

so False

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