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A non-conducting sphere of radius R centered at O contains a spherical cavity of radius R’...

A non-conducting sphere of radius R centered at O contains a spherical cavity of radius R’ centered at O'. Let d be the displacement of O’relative to 0. Throughout the sphere, there is a uniform charge density rho_0 (except inside the cavity, which is uncharged). (a) Use the principle of superposition to write down an expression for E(r) everywhere. (b) Repeat (a) for the electric potential b(r).

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