Figure shows a solid conducting sphere of radius $1 m,$ enclosed by a metallic shell of radius $3 m$ such that their centres coincide. If outer shell is given a charge of $6 μ C$ and inner sphere is earthed, find magnitude charge on the surface of inner shell

1 μ C

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2 μ C

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4 μ C

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6 μ C

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Solution

The correct option is A $1 μ C$
$V_{i n} = \frac{k Q_{1}}{a} + \frac{k Q_{2}}{b} = 0$
$q_{1} = (\frac{- a}{b}) Q_{2}$
$= \frac{- 1}{3} \times 6$
$q_{1} = - 2 μ C$ This will transfer to ground
So, $\Rightarrow Rema = 3 - 2 = 1 μ C$

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