A cable is made of an insulating material in the shape ofa long, thin cylinder of radius

Chapter 2, Problem 13

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A cable is made of an insulating material in the shape ofa long, thin cylinder of radius r0. It has electric chargedistributed evenly throughout it. The electric field, E, ata distance r from the center of the cable is given byE = kr for r r0k r20r for r>r0.(a) Is E continuous at r = r0?(b) Is E differentiable at r = r0?(c) Sketch a graph of E as a function of r.

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