Question

A 10 C charge is given to a conducting spherical shell, and a-3 C point charge is placed inside the shell. For this arrangement, find the correct statement(s).
A. The charge on the inner surface of the shell will be `+3 C`, and it can be distributed uniformly or nonuniformly
B. The charge on the inner surface of the shell will be `+3 C`, and it can be distributed would be uniform.
C. The net charge on the outer surface of the shell will be` _7 C`, and its distribution can be uniform or nonuniform
D. The net charge on the outer surface of the shell will be `_7 C`, and its distribution would be uniform.

Answer 1

Correct Answer - A::D
Due to induction , charges on various faces are as shown in Fig. S2.52.
Charge on the inner surface of the shell is `+ 3 C`.
Net charge on the outer surface of the shell is `- 3 C + 10 C = + 7 C`.
Distribution of charge on the inner surface would be uniform if charge is placed at the center , otherwise nonuniform . On outer surface , charge would be always uniformly distributed as the displacement of inside charges does not affect the distribution of the outer charge.