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GATE 2022 IN – Question 55

Measurements · Voltage current and power measurement · 2 marks · Numerical answer

The balanced three-phase circuit shown has $C_0=8.2$ μF and line-to-line rms voltage 440 V at 50 Hz. The wattmeter reading is ______ W (two decimal places).

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Correct answer: 141.80 to 146.20

Explanation

Balanced phase current is I=ωC0Vline/√3. The relevant line voltage and leading current have a 60° separation, giving W=VlineIcos60°=440²(2π50)(8.2×10⁻⁶)/(2√3)=**143.98 W**.