W9_parallel_resonance.eps
Week 8: Faraday’s Law and Induction 259 8.1: Magnetic Forces and Moving Conductors Last week we saw that our study of the source ...
260 Week 8: Faraday’s Law and Induction The charge in the rod thereforepolarizes, creating a net negative charge at one end and ...
Week 8: Faraday’s Law and Induction 261 frame, we have discoveredinduction– the creation of electric fields by changing magnetic ...
262 Week 8: Faraday’s Law and Induction This is the only possible sign that can correctly cause energy to be conserved as a char ...
Week 8: Faraday’s Law and Induction 263 which is just begging to be turned into theflux of the magnetic field through the loopC: ...
264 Week 8: Faraday’s Law and Induction or dvx dt + B^2 L^2 vx mR = 0 (576) which is the usual first order, linear, homogeneous ...
Week 8: Faraday’s Law and Induction 265 The rate at which work is done on the rod is: PF=F·v=−BLI·v=− B^2 L^2 v 02 R exp( ( − 2 ...
266 Week 8: Faraday’s Law and Induction The electric field induced in a loop by changing magnetic flux goes around the loop in t ...
Week 8: Faraday’s Law and Induction 267 magnetic flux through some surfaceSbounded by a closed curveC: φm(t) = ∫ S/C B~·ˆndA (58 ...
268 Week 8: Faraday’s Law and Induction If the conducting loop were decreasing in area (in (b)), the inducedcurrent would be in ...
Week 8: Faraday’s Law and Induction 269 θ θ n B n B I,E I,E Figure 96: Illustration ofE~-field direction when the direction ofB~ ...
270 Week 8: Faraday’s Law and Induction In figure 97 above, a long straight wire is carrying a currentI. It sits a distancedaway ...
Week 8: Faraday’s Law and Induction 271 Example 8.4.2: Rectangular Loop Pulled from Field R r B (in) F Figure 98: A rectangular ...
272 Week 8: Faraday’s Law and Induction R B (in) L V 0 Figure 99: A conducting rod sits on conducting, frictionless rails anda s ...
Week 8: Faraday’s Law and Induction 273 and the terminal velocity, which we determine from the observationthat the net force on ...
274 Week 8: Faraday’s Law and Induction nearby conducting loops to change in time. This, according to Faraday’s Law, will induce ...
Week 8: Faraday’s Law and Induction 275 Of course we’ve formulated this result in a completely general way, but forarbitrarycond ...
276 Week 8: Faraday’s Law and Induction Henries can, of course, also be expressed in terms of Webers – youdoremembers what Weber ...
Week 8: Faraday’s Law and Induction 277 From Ampere’s Law (show!): B 1 = μ 0 I 1 2 πr (598) into the paper on the side of the ...
278 Week 8: Faraday’s Law and Induction transformers and inductively coupled rectifiers and the like. Thereare some places where ...
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