An inductive load draws 10 A RMS from a 100 V RMS source at a power factor of 0.8 lagging. A capacitor is connected in parallel so that the overall power factor becomes unity. Determine the required capacitor current.
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Question

An inductive load draws 10 A RMS from a 100 V RMS source at a power factor of 0.8 lagging. A capacitor is connected in parallel so that the overall power factor becomes unity. Determine the required capacitor current.

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G1 Physics · Accepted Answer

For power factor 0.8, sinφ=0.6. The lagging reactive component of load current is 10×0.6=6 A. The capacitor must supply an equal 6 A leading current to make the source reactive current zero.