Question
A thin conducting spherical shell (center at $O$ ) having charge $Q_0$ , radius $R$ and three point charges $Q_0$ , $-2Q_0$ , $3Q_0$ are also kept at point $A$ , $B$ and $C$ respectively as shown. Find the potential at any point on the conducting shell. (Potential at infinity is assumed to be zero)

Answer

Charge on outer surface of shell is

$Q_{0}+Q_{0}-2 Q_{0}=0$

So potential at surface $=\frac{\mathrm{K} 3 \mathrm{Q}_{0}}{2 \mathrm{R}}$

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