Question

A hollow Metallic sphere of radius r metre is placed in a uniform electric field of magnitude E. The electric field inside the sphere will be??

Answer 1

Answer:

Since it's a metallic sphere, it's obviously a conductor. From Gauss' law, all the charge must reside on the outer surface of the conductor. So. the electric field at any point inside the conductor is zero. This again follows from Gauss' Theorem.

Since the electric field at any point inside the conductor is zero, the potential is constant throughout the volume of the cavity. What this essentially implies is that at any point inside the shell, the potential is the same. Which implies that the potential at the center of the shell is equal to the potential at any point inside it. The potential at the center of the shell is the easiest to calculate

Where q is the charge given to the shell and r is the radius of the shell.

Hope this helps.