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ME03: Nonuniformly Charged Hollow Sphere with Gauss' Theorem [30 points]. Consider a hollow Charged sphere with inner radius R; and outer radius R2, gure). The

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ME03: Nonuniformly Charged Hollow Sphere with Gauss' Theorem [30 points]. Consider a hollow Charged sphere with inner radius R; and outer radius R2, gure). The solid part of the hollow sphere (i.e., between R1 and R2) is characterized by a nonuniform volume charge distribution with density ,o(7') = p0(r R/Rl for r 6 [31,32]. By means of symmetry arguments, which you must show, and Gauss\" theorem nd the eld at any point in space. [25 points] R2 > 31 (see Assume R2 gets closer and closer to R1, eventually resulting in a very thin shell. In fact, assume that R2 = R1 + Ar, where Ar is a very small quantity (Ar

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