Let the voltage across a load be Vrms = 530?60o V and the current through the load be Irms = 8.5?30o A. Find the complex power, apparent power, average power, reactive power, and power factor. Also, find the equivalent impedance, equivalent resistance, and equivalent inductance of the load. Draw the phasors for P, Q, and S. f = 60 Hz.

What will be an ideal response?


S = VrmsIrms* = 3901.4444 + j2252.5 = 4505?30o VA

|S| = 4505 VA

P = 3901.4444 W

Q = 2252.5 VAR

pf = P/|S| = cos(30o) = 0.866

Z = Vrms/Irms = 53.999231 + j31.17647 ?

R = 53.999231 ?

X = 31.17647 ?

L = X/? = X/(2?f) = 82.6982 mH





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