Consider a sphere of radius R, carrying a charge density p(r) = ar. The total charge ofthe sphere is a known value Q.(a) Calculate the constant a and the electric field (maanitude and direction) insideand outside the sphere, as a function of Q and R.(b) Calculate the potential in the origin, as a function of Q and R.(c) Suppose now that the charge Q is uniformly distributed on the surface of thesame sphere. Calculate the difference of electrostatic energy between the finaland initial configurations.

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Answered: Consider a sphere of radius R, carrying…

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