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14. HW: Consider a sphere of radius R held at potential V(0). The potentials inside and outside the sphere should be azimuthally symmetric (Cylindrical

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14. HW: Consider a sphere of radius R held at potential V(0). The potentials inside and outside the sphere should be azimuthally symmetric (Cylindrical symmetric) with no d-dependence, Be (r,0) = = [Aer + 1] P (=0 Pr(Cos 0) (9) Find the potentials inside and outside the sphere for the following cases (a) V(0) = Voor V(0) = Vo cos 0 for 0 0 T, (b) V(0) = Vo for 00

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To find the potentials inside and outside the sphere well use Laplaces equation in cylindrical coordinates which is given by 1r ddr r dVdr 1r2 d2Vd2 d... blur-text-image

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