hi can you please help me understand how these answers are calculated.

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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hi can you please help me understand how these answers are calculated.

solution :- Apply voltage division method to find
NR,
Vc & VL
1
YR =
Vc =
22
NL =
j2 + ال – 2
ال
2-j1 + √₂
j2
2-j1 +ĵ2
current in the circuit
I =
12 20
2-j1+Ĵ2
x 12/0
=
11
10-73/-26-56
x 12/0° = 5.366 / -116.56° V
6
X12L0 = 10-73 / 63-43 V
A =) 5.366 -26.56" A
V
Transcribed Image Text:solution :- Apply voltage division method to find NR, Vc & VL 1 YR = Vc = 22 NL = j2 + ال – 2 ال 2-j1 + √₂ j2 2-j1 +ĵ2 current in the circuit I = 12 20 2-j1+Ĵ2 x 12/0 = 11 10-73/-26-56 x 12/0° = 5.366 / -116.56° V 6 X12L0 = 10-73 / 63-43 V A =) 5.366 -26.56" A V
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