In the shown three phase system find the magnitude value of

In the shown three phase system find the magnitude value of the following: The Line Voltages (380 V) The Line Currents (65.8 A)

EAN= 220 v

EBN= 220<-120

ECN= 220<-240

VAB= line voltage between A and B=EAN+ ENB

= 3*220<30

VBC= line voltage between B and C= 3*220<-90

VCA= 3*220<-210

Magnitude of line voltage= 220*3=381 v

Z=6+8j=10<52

Iab= phase current = VAB/Z= 22*3<-22

Ibc= VBC/z= 3*22<-142

Ica=VCA/z= 3*22<-262

IA= Line current from point A= Iab- Ica=

= 22*3*(1-j*1.36)

Magnitude of line current= |IA|=65.3