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Visualising Potential

Two concentri...

Question

Two concentric conducting spheres are of radii $r_{1}$ and $r_{2}$ . The outer sphere is given a charge $q$ . The charge $q^{'}$ on the inner sphere will be (inner sphere is grounded) :-

A

q

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B

- q

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C

- q \frac{r_{1}}{r_{2}}

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D

Zero

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Solution

The correct option is C $- q \frac{r_{1}}{r_{2}}$

Due to earthing, potential of inner sphere in zero
$V = 0$
$\frac{K q}{r_{2}} + \frac{K q^{'}}{r_{1}} = 0 \Rightarrow q^{'} = - \frac{q r_{1}}{r_{2}}$

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