Question

A conducting sphere of radius R carries a net positive charge Q, uniformly distributed over the surface of the sphere. Assuming that the electric potential is zero at an infinite distance, what is the electric potential at a distance r = R/4 from the center of the sphere?

Select one:

kQ/R

zero

kQ/4R

4kQ/R

16kQ/R

Answer 1

Electric field inside a conducting sphere is always zero, and electric potential is constant inside the sphere.

and this electric pontial is given by:

                                  (for distance less than equal to Radius)

where Q = charge on the surface of sphere

           R = Radius of sphere

and so at distance R/4 from the center electric potential is same as above i.e

                               

so first option is correct.