GATE 2021 IN – Question 52
A household fan consumes 60 W and draws 0.3125 A rms from 230 V rms, 50 Hz single-phase mains. Its reactive power is ______ VAR (nearest integer).
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Show answer and explanation
Correct answer: 39 to 40
Explanation
Apparent power S=Vrms Irms=230·0.3125=71.875 VA. For sinusoidal supply/load quantities Q=√(S²−P²)=√(71.875²−60²)=39.573 VAR. Nearest-integer answer is **40 VAR**; Q is not S−P.