A charge Q is distributed within a sphere of radius R. Calculate everywhere the electric field and the potential in the case the charge density varies as p(x) = PO where x is the distance from the center of the sphere and x ≤ R. Also, how does the result compare with the case of uniform density?

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A charge Q is distributed within a sphere of radius R. Calculate
everywhere the electric field and the potential in the case the charge
density varies as
p(x) = PO
where x is the distance from the center of the sphere and x ≤R. Also,
how does the result compare with the case of uniform density?
Transcribed Image Text:A charge Q is distributed within a sphere of radius R. Calculate everywhere the electric field and the potential in the case the charge density varies as p(x) = PO where x is the distance from the center of the sphere and x ≤R. Also, how does the result compare with the case of uniform density?
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