Electric Potential Video Lessons

Concept

# Problem: A nonconducting sphere of radius r0 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 &gt; r0. 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&lt; r0. Take V = 0 at r = ∞.Express your answer in terms of some or all of the variables r0, Q, r, and appropriate constants.

###### FREE Expert Solution

The electric field:

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

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###### Problem Details

A nonconducting sphere of radius r0 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 > r0. Take = 0 at = ∞.

Part B: Determine the electric potential as a function of the distance r from the center of the sphere for r< r0. Take = 0 at = ∞.

Express your answer in terms of some or all of the variables r0, Q, r, and appropriate constants.