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3.12 An infinite, thin, plane sheet of conducting material has a circular hole of radius a cut in it. A thin, flat disc of th

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(a) The general solution of the Laplace equation in cylindrical coordinates with angular symmetry that vanishes at z = 0 is 0Multiplying both sides by pJ. (kp) and integrating at z = L yields | PJo( 2) (P, L) dp [(4) sinh (AL){ PJo( ) (+p) do ak - %Then the potential expansion ( 1 ) becomes 312,3) = Bilan - - [802-1) +++] Lºxtowych +..] The first integral evaluates to 1,

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