Find the potential inside and outside a uniformly charged solid sphere whose radius is R and whose total charge is q. Use infinity as your reference point. Compute the gradient of V in each region, and check that it yields the correct field. Sketch V (r).

University Physics Volume 2
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Chapter7: Electric Potential
Section: Chapter Questions
Problem 97AP: (a) Find x L limit of the potential of a finite uniformly charged rod and show that it coincides...
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Find the potential inside and outside a uniformly charged solid sphere
whose radius is R and whose total charge is q. Use infinity as your reference point.
Compute the gradient of V in each region, and check that it yields the correct field.
Sketch V (r).

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