how does the equation for s_3 make sense? i think here might be a calculation error

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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how does the equation for s_3 make sense? i think here might be a calculation error

To
I2
1.2kW
0-8KVA
100290° V
2KVA 0.707led
|4kW, 0.9 lag
S3
Solution: here S2= 12-jo·8 kVA
S3= 4 +i 4. Sinto-g) =
4+jl.937 kA
0.9
here S4
5:2+jl·137 KVA
米
%3D
254
2152 +jl·137)x103
22-74- 104
now I
Vo
100 296
hence Iz
22.74 +j104 A
Similarly, si = 5- 2 sin Can-l(o-707)) = (1-;)kVA
O.707
T,* = 251
(2-824 -i2-3234)XLO3
= - 28.234-j 28.284 A
%3D
1 100
- 23.284+i 28. 284 A
how Io = I, +I2=
(22-74 +j lo 4)+(-23.284 -j 23-284 ) A
- 5544 +j 132.23 =1 32:44 92-4° A
%3D
Transcribed Image Text:To I2 1.2kW 0-8KVA 100290° V 2KVA 0.707led |4kW, 0.9 lag S3 Solution: here S2= 12-jo·8 kVA S3= 4 +i 4. Sinto-g) = 4+jl.937 kA 0.9 here S4 5:2+jl·137 KVA 米 %3D 254 2152 +jl·137)x103 22-74- 104 now I Vo 100 296 hence Iz 22.74 +j104 A Similarly, si = 5- 2 sin Can-l(o-707)) = (1-;)kVA O.707 T,* = 251 (2-824 -i2-3234)XLO3 = - 28.234-j 28.284 A %3D 1 100 - 23.284+i 28. 284 A how Io = I, +I2= (22-74 +j lo 4)+(-23.284 -j 23-284 ) A - 5544 +j 132.23 =1 32:44 92-4° A %3D
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