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A nonconducting solid sphere of radius R has a volume charge density that is proportional to the distance from the center. That is, ? = Ar for r R, where A is a constant. (Use the following as necessary: ?0, A, r, and R, as necessary.)

(a) Find the total charge on the sphere. Q =

(b) Find the expressions for the electric field inside the sphere (r < R) and outside the sphere (r > R). ErR =

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