329fall09hw7 - ECE 329 Homework 7 Due: October 13, 2009, 5...

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Unformatted text preview: ECE 329 Homework 7 Due: October 13, 2009, 5 PM 1. Faradays Law states that the emf E calculated for any closed loop C in 3-D space equals the decay rate- d dt of magnetic flux R B dS . For a loop C with a fixed shape, the emf is E = H C E dl in terms of electric field E in the reference frame of the loop. In that case, Faradays law is written as I C E dl =- d dt Z S B dS where the line and surface integrals are taken in directions compatible with the right hand rule. a) What is the emf E over any fixed loop C in a region where B = 0 at all times? b) What is the emf E over any fixed loop C in a region where B is non-zero but time-independent? c) If B is time-independent, can the line integral R 12 E dl calculated in the region between (arbi- trary) fixed points P 1 and P 2 depend on the path taken from P 1 to P 2 ? Explain your reasoning. d) Can the emf E calculated for a moving or deforming loop C be non-zero if B is non-zero but time-independent (i.e., static)? Explain.time-independent (i....
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This note was uploaded on 02/21/2010 for the course ECE 329 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.

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329fall09hw7 - ECE 329 Homework 7 Due: October 13, 2009, 5...

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