Homework Answers
here,
the input voltage , Vrms = 1 KV = 1000 V
power factor , phi = 30 degree
the input current is Irms
the output power , Po = 10000 hp = 7.457 * 10^6 W
the efficiency , e = 75 % = 75 /100 = Po /Pi
0.75 = Po /(Vrms * Irms * cos(phi))
0.75 = 7.457 * 10^6 /(1000 * Irms * cos(30))
solving for Irms
Irms = 1.15 * 10^4 A
the rms current is 1.15 * 10^4 A
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