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Four 240v, 50Hz, 16kW motors are installed in a factory. Each has a power factor of 0.86 lagging and efficiency of 78.2% while running. Determine the shunt capacitance required to deliver unity power factor...
I'm not sure if I'm going about this question the right way. Any help would be much appreciated.
The issue is that you are using the apparent power instead of the reactive power for Qc. The reactive power is apparent * sin(theta) or apparent *sin(acos(0.86)) = 12.14e3
All your other calculations look right, so use the same method from there on, and you should get about 0.67 mF.
