Pproximtelya tht of twoedimensionl dipoled sled y the

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Unformatted text preview: lowing w—ple ™odeD we solved this line—r equ—tionX AA := matrix([[1, -mr, mr*a^(-2), 0], [0, -mr, mr*b^(-2), -b^(-2)],\ [1, -1, -a^(-2), 0], [0, 1, b^(-2), -b^(-2)]]); bb := matrix([[-I*d*a^(-2)/(2*Pi)], [0], [I*d*a^(-2)/(2*Pi)], [0]]); simplify(multiply(inverse(AA),bb)); „he resulting v—lues of AD B D C D —nd D —reX Id @ a C b C a r r b A Aa Pa  d@r IA Ba  db @r C IA Ca 2 2 2 2 22 2 2  a PIr b d  2 D where  a b @r C IA a @r IA F yutside the ™ylinder the m—gneti™ s™—l—r potenti—l isX 2 2 2 2 ¨M a Dr sin '   PIr b d r sin ' a  a IdPsin ' Rr b r | {z } 1 2 1 2 F ¨M in this region is @—pproxim—telyA th—t of — twoEdimension—l dipoleD s™—led ˜y the f—™tor FF „his pro˜lem is rel—ted to pro˜lem SFIRD where the m—gneti™ eld is due to the wires inste—d of due to —n extern—l sour™eF T 2.3 por r ) I —nd b a a C tD F ˜e™omesX % b Rr ba  2 F 2 2 2 r 2 r b a  @b [email protected] PtA A r % Pb 2 2 2 r t por r a PHHD b a I:PS ™mD t a H:Q ™mX F 3 [email protected]:PS % @[email protected]:Q™mA a H:HRP ™mA Problem 5.19 ~ ‡...
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This note was uploaded on 12/08/2011 for the course PHYSICS 505 taught by Professor Liu during the Winter '08 term at University of Michigan.

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