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Standard XII

Physics

Understanding Electrostatic Potential

A hollow, neu...

Question

A hollow, neutral conducting sphere of inner radius $R_{1}$ and outer radius $R_{2}$ encloses a charge q inside it which is located at a distance d $(< R_{1})$ from the centre of the spheres. The potential at the centre of the shell is

\frac{k q}{d}

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k q (\frac{1}{R_{2}} - \frac{1}{R_{1}} + \frac{1}{d})

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k q (\frac{1}{R_{2}} - \frac{1}{R_{1}})

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Solution

The correct option is B $k q (\frac{1}{R_{2}} - \frac{1}{R_{1}} + \frac{1}{d})$
$V = \frac{k q}{d} - \frac{k q}{R_{1}} + \frac{k q}{R_{2}}$
$= k q [\frac{1}{R_{2}} - \frac{1}{R_{1}} + \frac{1}{d}]$

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