Why we did not multiply by 3

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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Why we did not multiply by 3 because of the three phases?? And you can see the rules in the second picture if I am mistaken so when we use them
0-714
8:26 9
Slepi
а)
Coiven :-
Vab = 5KV (Line vo Hage)
Source
6= G0KVAR
pf.50.7
S= 100KVA
"P = ২০০k
p.f= 0-6
lead)-
Load -1
Lead - 2
Load-3
Load -1
5두 100 KVA
S, = 100 L45-573° KVA
Load - 2
१, = २०० k५
SLz = PLz
0.6
SL2 = 1000 KVA
SL2 = lo00 feos"(0. 6)
= lo00 /- 5313° kVA
Load-3
cosp = 0,7
O = 45,573°
sin iþ =0=714
Qug = '60 KUAR
Sind
Si3=
= 84.03 KVA
Step2
b)
Transcribed Image Text:0-714 8:26 9 Slepi а) Coiven :- Vab = 5KV (Line vo Hage) Source 6= G0KVAR pf.50.7 S= 100KVA "P = ২০০k p.f= 0-6 lead)- Load -1 Lead - 2 Load-3 Load -1 5두 100 KVA S, = 100 L45-573° KVA Load - 2 १, = २०० k५ SLz = PLz 0.6 SL2 = 1000 KVA SL2 = lo00 feos"(0. 6) = lo00 /- 5313° kVA Load-3 cosp = 0,7 O = 45,573° sin iþ =0=714 Qug = '60 KUAR Sind Si3= = 84.03 KVA Step2 b)
Zp=
Impedkince per phase
e = p.f. angle = Angle of Zph= Angle between
Tpiand ph
Then:
P= 3 Vp Ip cag O = V3 VL IL Coze Watt
Total Real Power:
Total Reactive Pawver: Q= 3 VpIp Sine = V3 VL I Sins VAR
To tal Apparant Pawer: S = 3Vp Ip = V3 VL IL
%3D
%3D
VA
%3D
Total Complex Poner: 3- P+jQ = 3p = 32pTp.
3.
Power Factor = Cgo=
=
%3D
P= Re CŠ)
Q= Im 3)
S' = IŠI
Angle of s
Also:
Transcribed Image Text:Zp= Impedkince per phase e = p.f. angle = Angle of Zph= Angle between Tpiand ph Then: P= 3 Vp Ip cag O = V3 VL IL Coze Watt Total Real Power: Total Reactive Pawver: Q= 3 VpIp Sine = V3 VL I Sins VAR To tal Apparant Pawer: S = 3Vp Ip = V3 VL IL %3D %3D VA %3D Total Complex Poner: 3- P+jQ = 3p = 32pTp. 3. Power Factor = Cgo= = %3D P= Re CŠ) Q= Im 3) S' = IŠI Angle of s Also:
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