312ps2 - PROBLEM SET 2 ECE 312 Autumn Quarter 2010 Assigned Due October 1st October 8th in class Instructor Joel Johnson Problem 1 A single loop of

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PROBLEM SET 2 ECE 312 Autumn Quarter 2010 Assigned: October 1st Due: October 8th in class Instructor: Joel Johnson Problem 1 A single loop of wire of radius b is centered on the z axis in a cylindrical coordinate system. Assume that a voltage source Vt () is connected to this loop through a resistance R ; when is constant in time, a current φ ˆ It flows in the loop. This current produces a magnetic flux density Bz ˆ μ 0 2 b -------------- = inside the area bounded by the loop, where t indicates time in seconds. (Note this is only an approximation of the true magnetic flux density that would result from use of the Biot- Savart law.) Now assume that is no longer constant in time. z b φ ˆ R + - V 1 2 (a) Find the magnetic flux linking the loop. (b) Calculate the EMF induced in the loop by Faraday’s law. (c) Comparing your part (b) answer with circuit theory concepts, what is the approximate inductance of this wire? Discuss any sign changes you need to make. Note this is approximate because our original magnetic flux density was approximate.
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This note was uploaded on 01/11/2012 for the course ECE 312 taught by Professor Johnson,j during the Fall '08 term at Ohio State.

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312ps2 - PROBLEM SET 2 ECE 312 Autumn Quarter 2010 Assigned Due October 1st October 8th in class Instructor Joel Johnson Problem 1 A single loop of

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