1. An initially neutral conductor contains a hollow cavity in which there resides a +100-nC point charge. An external charged rod transfers a total charge of −50 nC to the conductor. Showing all of your work and reasoning, answer the following parts in the space below.
(i) Suppose that the conductor described in this problem is now a conducting spherical shell—of inner radius, a, and outer radius, b. (In other words, this conducting sphere contains a concentric spherical cavity of radius, a.) Moreover, suppose that the charge in the cavity is at the center of curvature of this spherical shell. Under these circumstances and with the same charge information provided in this problem’s original statement, determine the electric field at all points (i.e., at all distinct radial distances from the center, r)
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