A factory takes the following balanced loads from a 440-V, 3-phase, 50-Hz supply:
(a) A lighting load of 20 kW (b) a continuous motor load of 30 kVA at 0.5 p.f. lagging.
(c) An intermittent welding load of 30 kVA at 0.5 p.f. lagging. Calculate the kVA rating of the capacitor
bank required to improve the power factor of loads (a) and (b) Together to unity. Give also the value of
capacitor required in each phase if a star-connected bank is employed. What is the new overall p.f. if,
after correction has been applied, the welding load is switched on.