The symmetric magnetic circuit of Figure has three windings. Windings A and B each have N turns

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The symmetric magnetic circuit of Figure has three windings. Windings A and B each have N turns and are wound on the two bottom legs of the core. The core dimensions are indicated in the figure.

a. Find the self-inductances of each of the windings.

b. Find the mutual inductances between the three pairs of windings.

c. Find the voltage induced in winding 1 by time-varying currents iA (t) and iB (t) in windings A and B. Show that this voltage can be used to measure the imbalance between two sinusoidal currents of the samefrequency.

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Electric Machinery

ISBN: 978-0071230100

6th Edition

Authors: Charles Kingsley, Jr, Stephen D. Umans

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