A spherical capacitor consists of an inner conducting sphere of radius r_i surro

Question

A spherical capacitor consists of an inner conducting sphere of radius r_i surrounded by a concentric (same center point) hollow thin walled sphere of larger radius r_x. The inner sphere has a charge +q_0 on its outer surface, and the outer sphere has a charge -q_0 on it. Calculate the electric field as a function of radius, over all three regions of interest, outside the larger sphere, between the spheres, and inside the smaller sphere. Graph this field, labeling r_i and r_x on your graph. Then, assuming the potential at infinity is zero, graph the potential as a function of radius, using the notion that E = - V.

Explanation / Answer

Outside larger sphere

Electric field = k * qo/ri2 - k * qo/rx2

                    = k * qo * (1/ri2 - 1/rx2)

Between spheres

Electric field = k * qo/ri2

Inside smaller sphere

Electric field = 0

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