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 +3q.

Select True or False for the following statements.

The radial component of the electric field in the region r > d is given by +3q/(40r2).
The total charge on the inner surface of the large shell is -5q.
The total charge on the outer surface of the small shell is -2q.
The radial component of the electric field in the region c < r < d is given by -2q/(40r2).
The total charge on the outer surface of the large shell is +1q.
The total charge on the inner surface of the small shell is zero.
The electric field in the region r < a is zero.

Explanation / Answer

1) False

2) False

3) True

4) False

5) True

6) True

7) True

because,

charge on inner surface of the inner shell = 0

charge on outer surface of the inner shell = -2q

charge on inner surface of the outer shell = +2q

charge on outer surface of the outer shell = +q

in the region r < a, E = 0

in the region a< r < b, E = 0

in the region, b < r < c, E = -2q/(4*pi*epsilon*r^2)

in the region, c< r < d = 0

in the region, r > d, E = k*q/(4*pi*epsilon*r^2)

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