problem29_44

problem29_44 - 29.44 a The large circuit is an RC circuit...

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29.44: a) The large circuit is an RC circuit with a time constant of s. 200 F) 10 20 ( ) 10 ( 6 μ τ = × = = - RC Thus, the current as a function of time is s 200 10 V 100 μ t e i - = At s, 200 μ = t we obtain A. 7 . 3 ) ( A) 10 ( 1 = = - e i b) Assuming that only the long wire nearest the small loop produces an appreciable magnetic flux through the small loop and referring to the solution of Problem 29.54 we obtain + + = = Φ a c c B c a ib dr r ib ) (1 ln 2 2 0 0 π μ π μ So the emf induced in the small loop at is s 200 μ = t mV. 81 . 0 ) s 10 200 A 3.7 ( (3.0) ln 2 m) 200 . 0 ( ) 10 4 ( 1 ln 2 6 m A Wb 7 0 2 + = × - × - = + - = Φ - = - - π π dt di c a π b μ dt d ε Thus, the induced current in the small loop is
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Unformatted text preview: A. 54 ) m (1.0 m) 25(0.600 mV 81 . ε = = = ′ Ω R i c) The induced current will act to oppose the decrease in flux from the large loop. Thus, the induced current flows counterclockwise. d) Three of the wires in the large loop are too far away to make a significant contribution to the flux in the small loop–as can be seen by comparing the distance c to the dimensions of the large loop....
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