Determine the capacitor rating in kVAR and also in farad to improve the load pf from 0.70

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Determine the capacitor rating in kVAR and also in farad to improve the load pf from 0.70 lagging (i.e., θ1 = 45.6°) to 0.90 lagging (i.e., θ2 = 25.8°) at a three-phase, 60-Hz, 460-V distribution point delivering 1500-kW real power. If the motor runs for 300 h per month, the utility demand charge is $10/kVA, energy charge is $0.15/ kWh, capacitor cost is $60/kVAR installed, and cable power loss is 2% per phase, determine the payback period.

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