Two parallel loads draw 10 kW at unity power factor and 10 kVA at 0.6 lagging power factor. What nearest capacitor-bank rating in kVAr gives overall power factor 0.9544 lagging?
The second load has P₂=10×.6=6 kW and Q₂=10×√(1−.6²)=8 kVAr. Total real power=16 kW. Desired reactive power is 16tan(arccos .9544)≈5 kVAr. Capacitors must supply about 8−5=3 kVAr, A.
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