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A spherical shell of radius R(1) with un...

A spherical shell of radius `R_(1)` with uniform charge q is expanded to a radius `R_(2)`. Find the work performed by the electric forces in this process.

Text Solution

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Work done by electric forces in the process
= final stored energy - initial stored energy
`= (Q^(2))/(2C_(2)) - (Q^(2))/(2C_(1)) = (1Q^(2))/(2(4pi in_(0) a)) - (1)/(2) (Q^(2))/((4pi in_(0) b))`
`= (Q^(2))/(8pi in_(0))[(1)/(a) - (1)/(b)]`
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