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1.23 The symmetric magnetic circuit of Fig. 1.33 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. 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 same frequency. LA N turns 1½ N₁ turns 8 N turns Core: Area Ac Permeability Figure 1.33 Symmetric magnetic circuit for Problem 1.23.

1.23 The symmetric magnetic circuit of Fig. 1.33 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. 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 same frequency. LA N turns 1½ N₁ turns 8 N turns Core: Area Ac Permeability Figure 1.33 Symmetric magnetic circuit for Problem 1.23.

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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1.23 The symmetric magnetic circuit of Fig. 1.33 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. 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 same frequency. LA N turns 1½ N₁ turns 8 N turns Core: Area Ac Permeability Figure 1.33 Symmetric magnetic circuit for Problem 1.23.
Transcribed Image Text:1.23 The symmetric magnetic circuit of Fig. 1.33 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. 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 same frequency. LA N turns 1½ N₁ turns 8 N turns Core: Area Ac Permeability Figure 1.33 Symmetric magnetic circuit for Problem 1.23.
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