Two balanced, three-phase, wye-connected loads are in parallel across a balanced three-phase supply. Load 1 draws a current of 20 A at 0.8 power factor leading, and load 2 draws a current of 30 A at 0.8 power factor lagging. For the combined load compute:
(a) The current taken from the supply and the supply power factor.
(b) The total real power in kW supplied by the source, if the supply voltage is 400 V.