Kindly follow the 4-step rule. Use the picture as your reference and guide to solve the circuit.

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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Kindly follow the 4-step rule.  Use the picture as your reference and guide to solve the circuit.

LEARNING EXAMPLE Write the mesh equations
3. Write equations for coupled inductors
1,-1
1,-13
V = joL (I, -1,)+ j@M(I, -I,)
V2 = j@M (I, -1,)+ j@L,(I, -1,)
R1
R
joM
jul2
V,
4. Replace into loop equations and
rearrange terms
RA
1
V =| R + j@L +
R3
1
I,- joMI,
joc,
1. Define variables for coupled inductors
jol - joM +
2. Write loop equations in terms of coupled
inductor voltages
1
0=- joL - joM +
j@C,
I,-1,
V = R,I, +V +
joc,
-V + R,I, +V2 + R;(I, -I,)+'2-4=0
jaC
1
+ joL, - jaM +R2 - j@M + j@L, +R3 +
joC,
%3D
I3
+ R,I3 + R;(I3 -1,)=0
j@C,
-(-joM + jøL,+ R; )I3
0=-joMI, -(joL, - joM + R,)I,
-V2 +
1
+R¸+R ]I3
joC,
+ jol, +
GEAUX
Transcribed Image Text:LEARNING EXAMPLE Write the mesh equations 3. Write equations for coupled inductors 1,-1 1,-13 V = joL (I, -1,)+ j@M(I, -I,) V2 = j@M (I, -1,)+ j@L,(I, -1,) R1 R joM jul2 V, 4. Replace into loop equations and rearrange terms RA 1 V =| R + j@L + R3 1 I,- joMI, joc, 1. Define variables for coupled inductors jol - joM + 2. Write loop equations in terms of coupled inductor voltages 1 0=- joL - joM + j@C, I,-1, V = R,I, +V + joc, -V + R,I, +V2 + R;(I, -I,)+'2-4=0 jaC 1 + joL, - jaM +R2 - j@M + j@L, +R3 + joC, %3D I3 + R,I3 + R;(I3 -1,)=0 j@C, -(-joM + jøL,+ R; )I3 0=-joMI, -(joL, - joM + R,)I, -V2 + 1 +R¸+R ]I3 joC, + jol, + GEAUX
1
joC2
=-j8
=4
R1=1
joM =j5
j2 = joL1
joL2 =j6
3/0 = v (+
I3
R4=9
1
-3j=
R3=7
Transcribed Image Text:1 joC2 =-j8 =4 R1=1 joM =j5 j2 = joL1 joL2 =j6 3/0 = v (+ I3 R4=9 1 -3j= R3=7
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