Answer: A conducting spherical shell with inner radius a

Chapter 22, Problem 22.44

(choose chapter or problem)

A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is -3Q, and it is insulated from its surroundings (Fig. P22.44). (a) Derive expressions for the electric-field magnitude E in terms of the distance r from the center for the regions r 6 a, a 6 r 6 b, and r 7 b. What is the surface charge density (b) on the inner surface of the conducting shell; (c) on the outer surface of the conducting shell? (d) Sketch the electric field lines and the location of all charges. (e) Graph E as a function of r

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