329sp09hw3(2) - ECE 329 Homework 3 Due 5PM 1 Faraday’s...

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Unformatted text preview: ECE 329 Homework 3 Due: Feb 10, 2009, 5PM 1. Faraday’s law states that emf E calculated for any closed loop C in 3D space equals the decay rate- d Ψ dt of magnetic flux Ψ ≡ S B · d S through any surface S bounded by the loop. For loop C with a fixed shape, the emf is E = C E · d l in terms of electric field E in the reference frame of the loop, in which case Faraday’s law reads as C E · d l =- d dt S B · d S where the line and surface integrals are taken in directions compatible with the right hand rule. Based on Faraday’s law: a) What is the emf E over any fixed loop C calculated in a region where B = 0 at all times? b) What is the emf E over any fixed loop C calculated in a region where B in non-zero but time- independent? c) If B is time-independent, can the line integral 12 E · d l 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....
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329sp09hw3(2) - ECE 329 Homework 3 Due 5PM 1 Faraday’s...

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