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Question

A metallic spherical shell has an inner radius R1 and outer radius R2. A charge Q is placed at the centre of the spherical cavity. What will be surface charge density on (i) the inner surface, and (ii) the outer surface?

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Solution

When a charge +Q is placed at the centre of spherical cavity,
The charge induced on the inner surface =+Q
The charge induced on the outer surface =+Q
Surface charge density on the inner surface =Q4πR21
Surface charge density on the outer surface =+Q4πR22.
1663324_1461216_ans_140ed83a9b704227b01524f77a8b31e1.png

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