74. A solid sphere of radius R carries a uniform volume charge density ?. A hole of radius R/2 occupies a region from the center to the edge of the sphere, as shown in Fig. 21.38. Show that the electric field everywhere in the hole points horizontally and has magnitude ?R/6??₀. Hint: Treat the hole as a superposition of two charged spheres with opposite charges.

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R/2, FIGURE 21.38 Problem 74