Answer: A solid conducting sphere with radius R carries a

Chapter 22, Problem 22.48

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A solid conducting sphere with radius R carries a positive total charge Q. The sphere is surrounded by an insulating shell with inner radius R and outer radius 2R. The insulating shell has a uniform charge density r. (a) Find the value of r so that the net charge of the entire system is zero. (b) If r has the value found in part (a), find the electric field E S (magnitude and direction) in each of the regions 0 6 r 6 R, R 6 r 6 2R, and r 7 2R. Graph the radial component of E S as a function of r. (c) As a general rule, the electric field is discontinuous only at locations where there is a thin sheet of charge. Explain how your results in part (b) agree with this rule

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