. A 3-phase, 400 V synchronous motor having a power consumption of 50 kW is connected in parallel with an induction motor which takes 200 kW at a power factor of 0·8 lagging.   

(i) Calculate the current drawn from the mains when the power factor of the synchronous motor is unity.

(ii) At what power factor should the synchronous motor operate so that the current drawn from the mains is minimum. ?

ANS [(i) 421 A (ii) 0·316 leading]

2) . A factory load consists