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Work done in assembling a solid-uniformly charged sphere

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(a) Calculate the work done in bringing a charged spherical shell of thickness dr from infinity up to enclose an existing charged sphere of radius r, both having uniform charge densities.

(b) Integrate this expression to calculate the work done U, in assembling a solid sphere of radius 'a' of uniform charge density. U = 3kQ^2/5a where Q= total charge.

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Diagram 1

First we will see how much energy is required to ...

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