Question

Prove that no electric field exists inside a hollow charged sphere of radius R​

Answer 1

Explanation:

Let us consider a hollow sphere of radius R and having a charge Q. To find electric field electric field inside the sphere, consider a sphere at a point P inside it having centre O that is r=OP (where r < R) as the Gaussian surface.

The electric flux through the Gaussian surface

z = E ñdS = E 47²2

But according Gauss theorem,

flux= 1 (charge enclosed) = 0

Thus, 0 = E 477² = 0 ⇒ E=0

Hence no electric field exists inside a hol charged sphere.

Ans