KIRCHHOFF'S LAWSCompose the voltage equations based on the variables given.Retain the signs generated by the tracing directions.Multiply with the least common factor to remove any fractions.12/0° V(+E21Ωwww.A4/90° VE1KVL @ loop A:K11Vx + Z12lx +Z13ly = Source₁KVL @ loop B:K21Vx + Z22lx + Z23ly = Source2KVL @ loop C:K31Vx + Z32lx + Z33ly = Source3DO NOT prefix "j" for the imaginary part.Iy1ΩI₁j2 Ω+VC-j4Q2HHj2Q2 1Ωm www-j2/22B+1⠀41₁ DO NOT prefix "j" for the imaginary part.REIMBlankk11Blank1Z12Blank Blankk21Z22910BlankBlankk31Z321718INREBlank3Blank11Blank19IMBlank4Blank12Blank20Z13Z23Z33REBlank5Blank13Blank21IMBlank6Blank14Blank221111=REBlank7Blank15Blank23IMBlank8Blank16Blank24

The given circuit diagram is shown below:

KIRCHHOFF'S LAWS Compose the voltage equations based on the variables given. Retain the signs generated by the tracing directions. Multiply with the least common factor to remove any fractions. 12/0° V (+ E2 Iy 1Ω j2 Ω m 1Ω 4/90° V E1 www A C -j4 Ω j2 Ω m -j2Ω 1Ω www B + ...

KIRCHHOFF'S LAWS Compose the voltage equations based on the variables given. Retain the signs generated by the tracing directions. Multiply with the least common factor to remove any fractions. 12/0° V (+ E2 Iy 1Ω j2 Ω m 1Ω 4/90° V E1 www A C -j4 Ω j2 Ω m -j2Ω 1Ω www B + ...

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.61P

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Question

KIRCHHOFF'S LAWS
Compose the voltage equations based on the variables given.
Retain the signs generated by the tracing directions.
Multiply with the least common factor to remove any fractions.
12/0° V
(+
E2
1Ω
www.
A
4/90° V
E1
KVL @ loop A:
K11Vx + Z12lx +Z13ly = Source₁
KVL @ loop B:
K21Vx + Z22lx + Z23ly = Source2
KVL @ loop C:
K31Vx + Z32lx + Z33ly = Source3
DO NOT prefix "j" for the imaginary part.
Iy
1Ω
I₁
j2 Ω
+
V
C
-j4Q2
HH
j2Q2 1Ω
m www
-j2/22
B
+1
⠀
41₁

DO NOT prefix "j" for the imaginary part.
RE
IM
Blank
k11
Blank
1
Z12
Blank Blank
k21
Z22
9
10
Blank
Blank
k31
Z32
17
18
IN
RE
Blank
3
Blank
11
Blank
19
IM
Blank
4
Blank
12
Blank
20
Z13
Z23
Z33
RE
Blank
5
Blank
13
Blank
21
IM
Blank
6
Blank
14
Blank
22
11
11
=
RE
Blank
7
Blank
15
Blank
23
IM
Blank
8
Blank
16
Blank
24

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