A solid sphere of radius R has a uniform charge density rho and total charge Q. Derive an expression for its total electric potential energy. Suggestion: Imagine that the sphere is constructed by adding successive layers of concentric shells of charge dq = (4π r2 dr) rho and let dU = Vdq. (Use any variable or symbol stated above along with the following as necessary: ke.)

U = _________

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Answer and Explanation:

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