Suppose that the Load impedance shown in figure is given by

Suppose that the Load impedance shown in figure is given by Z = 40 - j30 Ohm. Is the load inductive or capacitive? Determine the Power Factor, the power (P), the reactive power (Q) and the apparent power delivered to the load.

Solution

current I=(1500*1.414<60)/(40-j30)=42.426<96.86 amps.

power factor= cos(96.86-60)=0.8

active power=42.426*1500*1.414*0.8=71999.3 watts.

reactive power=42.426*1500*1.414*sin(96.86-60)=53987.04 VARS.

apparent power=42.426*1500*1.414=89,999.1369 VA.