chp38_2 - PHY2061 R. D. Field Curl of the Electric Field...

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PHY2061 R. D. Field Department of Physics chp38_2.doc University of Florida Closed Surface S Volume Charge Density ρ J Curl of the Electric Field Consider a fixed coil with varying current I . If C is a closed curve, stationary in the O-frame , and if S is a surface spanning C , and ) , , , ( t z y x B r is the magnetic field measured in the O-frame at time t, then = C r d E r r ε and = Φ S B A d B r r . Faraday&s Law of induction tells us that dt d B Φ = and Stoke&s Theorem says × = S C A d E r d E r r r r r ) ( . Thus, ∫∫ = = × = S SS C A d t B A d B dt d A d E r d E r r r r r r r r r ) ( which implies that t B E = × r r r Charge Conservation:
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This note was uploaded on 05/31/2011 for the course PHY 2061 taught by Professor Fry during the Spring '08 term at University of Florida.

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