GATE 2025 IN – Question 44
A balanced three-phase load is measured by the two-wattmeter method. Its per-phase average power is 30 kW at lagging power factor $\sqrt3/2$. The wattmeter readings are
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Correct answer: (C) 60 kW and 30 kW
Explanation
Total real power is 3×30=90 kW.
Power factor √3/2 gives φ=30°.
Readings are VLILcos(30°−φ) and VLILcos(30°+φ), in ratio 1:1/2=2:1.
Dividing 90 kW in that ratio gives **60 kW and 30 kW, C**.