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A three-phase transformer has a core shown below. There are three coils, and the number of turns are N₁ = 100; N₂ = 500; N3= 1000). The reluctances of all three paths between points a and b are R₁ = R₂ = 9 × 104 Aturns/Wb, R3 = 3 x 104 Aturns/Wb. Assume that all of the flux is confined to the core. (a) Determine the induced voltage at coil 3 if i₁=0.1 sin(100nt) and i2=0.5sin(100tt) A by using dλ(t)). Faraday's Law (e = - dt (b) Determine the induced voltage at coil 3 in (a) by using the concept of mutual inductance (e = di(t)). -M (c) List four different methods that can double the magnitude of the induced voltage at coil 3. R₁ R₂ + e₁ i₁ N₁ R3 N3 N₂

A three-phase transformer has a core shown below. There are three coils, and the number of turns are N₁ = 100; N₂ = 500; N3= 1000). The reluctances of all three paths between points a and b are R₁ = R₂ = 9 × 104 Aturns/Wb, R3 = 3 x 104 Aturns/Wb. Assume that all of the flux is confined to the core. (a) Determine the induced voltage at coil 3 if i₁=0.1 sin(100nt) and i2=0.5sin(100tt) A by using dλ(t)). Faraday's Law (e = - dt (b) Determine the induced voltage at coil 3 in (a) by using the concept of mutual inductance (e = di(t)). -M (c) List four different methods that can double the magnitude of the induced voltage at coil 3. R₁ R₂ + e₁ i₁ N₁ R3 N3 N₂

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
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A three-phase transformer has a core shown below. There are three coils, and the number of turns are N₁ = 100; N₂ = 500; N3= 1000). The reluctances of all three paths between points a and b are R₁ = R₂ = 9 x 104 Aturns/Wb, R3 = 3 × 104 Aturns/Wb. Assume that all of the flux is confined to the core. (a) Determine the induced voltage at coil 3 if i1-0.1 sin(100nt) and i2=0.5sin(100nt) A by using Faraday's Law (e = - da(t)) dt (b) Determine the induced voltage at coil 3 in (a) by using the concept of mutual inductance (e = -M di(t)). (c) List four different methods that can double the magnitude of the induced voltage at coil 3. R₁ R₂ e1 N₁ R3 N3 N₂
Transcribed Image Text:A three-phase transformer has a core shown below. There are three coils, and the number of turns are N₁ = 100; N₂ = 500; N3= 1000). The reluctances of all three paths between points a and b are R₁ = R₂ = 9 x 104 Aturns/Wb, R3 = 3 × 104 Aturns/Wb. Assume that all of the flux is confined to the core. (a) Determine the induced voltage at coil 3 if i1-0.1 sin(100nt) and i2=0.5sin(100nt) A by using Faraday's Law (e = - da(t)) dt (b) Determine the induced voltage at coil 3 in (a) by using the concept of mutual inductance (e = -M di(t)). (c) List four different methods that can double the magnitude of the induced voltage at coil 3. R₁ R₂ e1 N₁ R3 N3 N₂
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