Two loads are connected in parallel. The voltage across the loads is 8kVrms. The first load is rated at 12 kW with a 0.6 lagging power factor. The second load is rated at 20 kVA with a 0.8 lagging power factor.
a) Find the complex power of the two loads.
b) Find the total complex power of the two loads.
c) Find the total average power by taking the real part of the total complex power.
d) Find the total reactive power by taking the imaginary part of the total complex power.
e) Find the power factor of the total load.
f) You want to put a capacitor in parallel with the loads to correct the total power factor to 1. Assume the capacitor has a capacitance
C. Find the total complex power delivered to the capacitor as a function of C.