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A metal spherical shell has an inner ra...

A metal spherical shell has an inner radius `R_(1)` and outer radius `R_(2)`. A charge Q is placed at the center of the spherical cavity. What will be surface charge density on (i) the inner surface, and (ii) the outer surface ?

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Surface charge density on the inner surface
`sigma_(1)=(-Q)/(4piR_(1)^(2))`
Surface charge density on the outer surface
`sigma_(2)=(+Q)/(4piR_(2)^(2))`
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