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  4. A conducting sphere of radius a is enclosed by a conducting shell whose radius of inner surface is 2 a and that of outer surface is 3 a. Charge given to conducting shell and conducting sphere are Q and - Q respectively, then what will be potential at centre of conducting sphere :-

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Q. A conducting sphere of radius a is enclosed by a conducting shell whose radius of inner surface is $2 a$ and that of outer surface is $3 a$. Charge given to conducting shell and conducting sphere are $Q$ and $- Q$ respectively, then what will be potential at centre of conducting sphere :-Physics Question Image

Solution:

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Charge on outer surface of shell $=+ Q - Q = O$
So, $V_{0}=\frac{K Q}{2 a}-\frac{K Q}{a}$
$V _{0}=\frac{- KQ }{2 a }$