Response to the following problem:
The loading of a factory on a 1000-V, 60-Hz system includes: 20-kW heating (unity power factor) 10-kW (Pi) induction motors (0.7 lagging power factor) 5-kW lighting (0.85 lagging power factor)
a. Establish the power triangle for the total loading on the supply.
b. Determine the power-factor capacitor required to raise the power factor to unity.
c. Determine the change in supply current from the uncompensated to the compensated system.