There are two concentric spherical shells of radii r and 2r. Initially a charge Q is given to the inner shell. Now, switch S 1 is closed and opened then S 2 is closed and opened and the process is repeated n times for both the keys alternatively. Find the final potential difference between the shells.

Text Solution
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Now 'S1' is closed.
Let q charge is on outer shell
So, potential on outer surface should be zero.
i.e. 

Now
is opened
is closed and charge on outer surface is -'
'. Now
on inner surface should be zero.
So, 

Potential difference
Similarly for n times potential difference


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