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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:
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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