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A nonconducting sphere of radius r2 contains a concentric spherical cavity of radius r1.

A nonconducting sphere of radius r2 contains a concentric spherical cavity of radius r1. The material between r1 and r2 carries a uniform charge density ρE(C/m3).

a) Determine the electric potential V, relative to V=0 at r=∞, as a function of the distance r from the center for r>r2. Express your answer in terms of some or all of the variables r1, r2, r, ρE, and appropriate constants.

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b) Determine the electric potential V, relative to V=0 at r=∞, as a function of the distance r from the center for r1<r<r2. Express your answer in terms of some or all of the variables r1, r2, r, ρE, and appropriate constants.

c) Determine the electric potential V, relative to V=0 at r=∞, as a function of the distance r from the center for 0<r<r1.

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