The electric field:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{k}\mathbf{Q}}{{\mathbf{r}}^{\mathbf{2}}}}$

A nonconducting sphere of radius *r*_{0} carries a total charge *Q* distributed uniformly throughout its volume.

Part A: Determine the electric potential as a function of the distance *r* from the center of the sphere for *r *> *r*_{0}. Take *V *= 0 at *r *= ∞.

Part B: Determine the electric potential as a function of the distance *r* from the center of the sphere for *r*< *r*_{0}. Take *V *= 0 at *r *= ∞.

Express your answer in terms of some or all of the variables *r*_{0}, *Q*, *r*, and appropriate constants.

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