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2) The symmetric magnetic circuit of Fig. 2 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. N turns N₁ turns 8 N turns. Core: Area A Permeability Fig. 2. Symmetric magnetic circuit for Question 2 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 i4(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 same frequency

2) The symmetric magnetic circuit of Fig. 2 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. N turns N₁ turns 8 N turns. Core: Area A Permeability Fig. 2. Symmetric magnetic circuit for Question 2 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 i4(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 same frequency

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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2) The symmetric magnetic circuit of Fig. 2 has three windings. Windings A and Beach have N turns and are wound on the two bottom legs of the core. The core dimensions are indicated in the figure. "A N turns N₁ turns N turns Core: Area A Permeability Fig. 2. Symmetric magnetic circuit for Question 2 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 i(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 same frequency
Transcribed Image Text:2) The symmetric magnetic circuit of Fig. 2 has three windings. Windings A and Beach have N turns and are wound on the two bottom legs of the core. The core dimensions are indicated in the figure. "A N turns N₁ turns N turns Core: Area A Permeability Fig. 2. Symmetric magnetic circuit for Question 2 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 i(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 same frequency
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