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Transcribed Image Text:5
Gauss's law for non-uniform, but still spherically
symmetrical distribution of charge
Consider a sphere of radius R. with a volume charge density which grows linearly with
distance from center (r), i.e.,
p(r)
(a) inside the sphere (r < R)
(b) outside the sphere (r > R)
kr for r < R
= 0 for r > R
=
(1)
where k is a (given) constant.
Using Gauss's law, calculate the electric field (including magnitude and direction) in the two
regions:
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