A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given charge of
, the new potential difference between the same two surfaces is:
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When charge Q is on inner solid conducting sphere

Electric field between spherical surface

Now when a charge
is given to hollow shell

Electric field between surface remain unchanged.

As, field inside the hollow spherical shell = 0
Potential difference between them remain unchanged
i.e., 
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