The following three parallel-connected three-phase loads are fed by a balanced three-phase source: Load 1: 250 kVA,

Question:

The following three parallel-connected three-phase loads are fed by a balanced three-phase source:
Load 1: 250 kVA, 0.8 pf lagging
Load 2: 300 kVA, 0.95 pf leading
Load 3: 450 kVA, unity pf
If the line voltage is 13.8 kV, calculate the line current and the power factor of the source. Assume that the line impedance is zero.