Keywords:
Power
Power Factor Correction
Problem #2
Three 100 Vrms loads are connected in parallel. Load 1 is a 50 Ω resistor in series with an inductive reactance of 40 Ω. Load 2 absorbs an average power of 500 W at 0.75 lagging power factor. Load 3 absorbs an apparent power of 600 VA at 0.9 lagging power factor. Assume the circuit is operating at 60 Hz. Compute the value of a capacitor that would correct the power factor to 1 if placed in parallel with the loads.
Need a hint?
Find the complex power of each of the three loads. The total complex power is the sum of the complex power of the three loads. To correct the power factor to 1, set capacitor reactive power equal to negative total reactive power of the existing loads.