A group of small appliances on a 60Hz system requires 20 kVA at 0.85 pf lagging when operated at 125V (rms). The impedance of the feeder supplying the appliances is 0.01 + j0.08 Ohms. The voltage at the load end of the feeder is 125V (rms).
a) What is the rms magnitude of the voltage at the source end of the feeder?
b) What is the average power loss in the feeder?
c) What size capacitor (in microfarads) across the load end of the feeder is needed to improve the load power factor to unity?
d) After the capacitor is installed, what is the rms magnitude of the voltage at the source end of the feeder if the load voltage is maintained at 125 V (rms)?
e) What is the average power loss in the feeder for (d)?