Question

There is a uniformly charged non conducting solid sphere made of material of dielectric constant one. If electric potential at infinity be zero, then the potential at its surface is v. If we take electric potential at its surface to be zero, then what will be the potential at the centre?

Answer 1

Answer:

Let the potential of each smaller drop be U, so

U = kq/r

now,

The new potential of the larger drop will be given as

U' = kq'/r'

here

q' = nq

and

as volume V' = nV

r'3 = nr3

or

r' = n1/3r

thus, we have

U' = knq / n1/3r

or

U' = (n/ n1/3).(kq/r)

thus,

U' = n2/3U