6.8 The transformer shown in Fig. P6.8 consists of a long wire coincident with the z axis carrying a current I = Io cos wt, coupling magnetic energy to a toroidal coil situated in the x-y plane and centered at the origin. The toroidal core uses iron material with relative permeability μr, around which 100 turns of a tightly wound coil serves to induce a voltage Vemf, as shown in the figure. (a) Develop an expression for Vemf- (b) Calculate Vemf for f = : 60 Hz, µ = 4000, a = 5 cm, b = 6 cm, c = 2 cm, and Io = 50 A.
6.8 The transformer shown in Fig. P6.8 consists of a long wire coincident with the z axis carrying a current I = Io cos wt, coupling magnetic energy to a toroidal coil situated in the x-y plane and centered at the origin. The toroidal core uses iron material with relative permeability μr, around which 100 turns of a tightly wound coil serves to induce a voltage Vemf, as shown in the figure. (a) Develop an expression for Vemf- (b) Calculate Vemf for f = : 60 Hz, µ = 4000, a = 5 cm, b = 6 cm, c = 2 cm, and Io = 50 A.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:=
6.8 The transformer shown in Fig. P6.8 consists of a long
wire coincident with the z axis carrying a current I
Io cos wt,
coupling magnetic energy to a toroidal coil situated in the x-y
plane and centered at the origin. The toroidal core uses iron
material with relative permeability µÃ, around which 100 turns
of a tightly wound coil serves to induce a voltage Vemf, as shown
in the figure.
(a) Develop an expression for Vemf.
(b) Calculate Vemf for f = 60 Hz, µ₁ = 4000, a = 5 cm,
b = 6 cm, c = 2 cm, and Io = 50 A.
Transcribed Image Text:+
Vemf
X
N
Z
I
b
a
C
Iron core with ur
Figure P6.8 Problem 6.8.
y
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