A nonconducting solid sphere has a uniform volume charge

Chapter , Problem 73

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A nonconducting solid sphere has a uniform volume charge density r. Let be the vector from the center of the sphere to a general point P within the sphere. (a) Show that the electric field at P is given by (Note that the result is independent of the radius of the sphere.) (b) A spherical cavity is hollowed out of the sphere, as shown in Fig. 23- 60. Using superposition concepts, show that the electric field at all points within the cavity is uniform and equal to where is the position vector from the center of the sphere to the center of the cavity a Figure 23-60 73.

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