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A nonconducting sphere of radius R carries a volume charge density that is proportional to the...

A nonconducting sphere of radius R carries a volume charge density that is proportional to the distance from the center: Rho=Ar for r<=R, where A is a constant; Rho = 0 for r>R

a) Find the total charge on the sphere

b) Find the electric field inside the charge distribution.

c) Find the electric field outside the charge distribution.

d) Sketch the graph of E versus r.

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