Question

Why is the potential inside a hollow spherical charged conductor constant and has the same value as on its surface?

Answer 1

The electric field inside a hollow metallic sphere is zero.
so the work done is also zero.
you can easily understand this if you suppose V(in) is the potential on the inside and
V(s)is the potential on the surface,
then Vb - Va = 0
or      Vb = Va.
Hence the potential is the same inside as on the surface.

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Answer 2

Answer:

Explanation: because we know that the electric field inside the hollow metallic sphere is zero,then work done by the charge is zero, suppose that Va is the potential on the inside and Vb is the potential on the surface then Vb-Va= zero or VB . hence the potential is the same as on the surface ..