A conducting sphere of radius r has a charge . Then .

Options

A. the charge is uniformly distributed over its surface, if there is no external electric field
B. the distribution of charge over its surface will be nonuniform if an external electric field exists in the space.
C. the potential at every point of the sphere must be the same
D. the electric field strength inside the sphere will be equal to zero only when no external electric field exists.

Answer

A, B, C

Explanation

a.,b.,c.
If there is no external electric field, then the charge given to a conducting sphere gets uniformly distributed over its surface. Therefore, option (a) is correct. If an external electric field exists, then the charge gets distributed over the surface of the sphere in such a way that the electric field inside the sphere can become equal to zero. Hence. distribution of the charge on the surface of sphere will be non-uniform. Therefore, option (b) is correct. Obviously, option (d) is wrong.
Since electric field inside the conducting sphere is equal to zero. potential difference between two points in the sphere is equal to zero. It means , the potential is same at every point of the sphere. Therefore, option (c) is correct.