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(III) A hollow spherical conductor, carrying a net charge +Q, has inner radius r1 and outer radius r2 = 2r1 (Fig. 23–26). At the center of the sphere is a point charge +Q/2. (a) Write the electric field strength E in all three regions as a function of r. Then determine the potential as a function of r, the distance from the center, for (b) r > r2, (c) r1 < r < r2, and (d) 0 < r < r1. (e) Plot both V and E as a function of r from r = 0 to r = 2r2.
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