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Now consider the situation shown in Figure 3 below, which is the spherical shell from Problem 1 with an additional spherical hole hollowed out of

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Now consider the situation shown in Figure 3 below, which is the spherical shell from Problem 1 with an additional spherical hole hollowed out of it. This hole has radius a and is centered at position 1' = 20, on the x axis. Figure 3 (3) Using the Principle of Superposition, and relying on the answers from Problems 1 and 2, explain in words how we can get the electric eld of this structure at an arbitrary point in space. (b) Determine expressions for Eeld on the xaxis in the form 5(1) = Em at the locations (i) I = 3a. (ii) 1' = 2.5:: (iii) 3 : 0. (c) (Numeric) Determine values for E, at the three locations listed in Part (b). [Ans: (i) E, : 1.42 x 106 AVG; (ii) E, : 1.35 x 10'5 AVG; (iii) Em : +1.88 x 105 Ma]

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