Question 16: A 3-phase power supply serves two 480 VAC 3-phase motors: A motor with actual power P1 = 40 hp and PF = 0.8

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Question 16:
A 3-phase power supply serves two 480 VAC 3-phase motors: Amotor with actual power P1 = 40 hp and PF = 0.85 and amotor with actual power P2 = 10 hp and PF = 0.85. Find thekVAr of a 3-phase capacitor needed to attain a PF = 0.95 in thelines with the motors. 1 hp = 0.746 kW. [Find the apparent powerS1, S2 of the two motors relative to thetotal actual power P from the power factors ofthe two motors, then the reactive power Q1, Q2 ofeach motor; the difference in these Q is the reactivepower of the capacitor needed. Answer: 10.85 kVAr.]