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A point charge q is a distance r from the centre O of an uncharged spherical conducting layer, whose inner and outer radii equal to a and b respectively. The potential at the point O if r<a is $\frac{q}{4 {πϵ}_{0}}$ times

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$(\frac{1}{r} - \frac{1}{a} + \frac{1}{b})$

$(\frac{1}{b} - \frac{1}{c} + \frac{1}{r})$

$(\frac{1}{a} - \frac{1}{b} + \frac{1}{r})$

$(\frac{1}{a} - \frac{1}{r} + \frac{1}{b})$

answer is A.

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Detailed Solution

$\begin{array}{l} V = V_{1} + V_{2} + V_{3} \\ = \frac{q}{4 {πε}_{0}} [\frac{1}{r} - \frac{1}{a} + \frac{1}{b}] \end{array}$

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