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Practice: Electric Potential and Potential Energy of an Insulating Sphere


Consider a solid, insulating sphere of radius RR and uniform charge density ρ\rho.

a) Find the electric potential V of the sphere (both inside and outside).
b) Plot your results as a function of rr in addition to the plot of the conducting case. To make plotting easier, you can set all constants equal to 1 (Q, 4π4\pi, ϵo\epsilon_o, R).
c) Find the electric potential energy U for the insulating sphere.