A thin conducting spherical shell (center at O ) having charge Q_… - Vidyadip

MCQ

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)

A
$\frac{{5K{Q_0}}}{{2R}}$
✓
$\frac{3}{2}\frac{{K{Q_0}}}{R}$
C
$\frac{{K{Q_0}}}{{3R}}$
D
None of these

✓

Answer

Correct option: B.

$\frac{3}{2}\frac{{K{Q_0}}}{R}$

b
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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