Question

a hollow charged conductor has a tiny hole cut into its surface . show that electric field in the hole = sigma/2(epsilon zero) . sigma = surface charge density near holes .

Answer 1

what shape is the conductor?

Answer 2

sphere

Answer 3

E field is sigma by epsilon zero outside and zero inside.so in between it is half of it.

Answer 4

I may visualise the problem as
this problem now may be seen as an infinite charged conducting plane and we know that the electric field in the vicinity of such a system does not depend on the distance from the syatem and so we can use the formula electric field in the hole = sigma/2(epsilon zero)