joM-j3 jwL1=j2 jwL2 =15 =4 ŽR2 (G) 1-R1Z I2 R3=6 Vi(+

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Kindly follow the 4-step rule. Please refer and use the picture as your reference guide. 

joM=j3
joL1=j2
jwL2 =15
=4
R2
1-R12
R3=6
V1(+
Transcribed Image Text:joM=j3 joL1=j2 jwL2 =15 =4 R2 1-R12 R3=6 V1(+
LEARNING EXTENSION
WRITE THE KVL EQUATIONS
joM
1,
(R, + R, + j@L)I, -(R, + jaM )I, =-V
jøL2
jøL1
+Va
V, +
R2
-(R, + jaM)I, +(R, + R, + j@L, )I, =V
R12
I2
R3
1. Define variables for coupled inductors
2. Loop equations in terms of inductor
voltages
Va +R,(I, -1,)+V, +R,I, =0
-V, + RI,-V + R,(I, -1,)=0
3. Equations for coupled inductors
V. = jaLI, + jaM(-I,)
V, = jaMI, + j@L,(-I,)
%3D
4. Replace into loop equations and
rearrange
Transcribed Image Text:LEARNING EXTENSION WRITE THE KVL EQUATIONS joM 1, (R, + R, + j@L)I, -(R, + jaM )I, =-V jøL2 jøL1 +Va V, + R2 -(R, + jaM)I, +(R, + R, + j@L, )I, =V R12 I2 R3 1. Define variables for coupled inductors 2. Loop equations in terms of inductor voltages Va +R,(I, -1,)+V, +R,I, =0 -V, + RI,-V + R,(I, -1,)=0 3. Equations for coupled inductors V. = jaLI, + jaM(-I,) V, = jaMI, + j@L,(-I,) %3D 4. Replace into loop equations and rearrange
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