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Q#1 Electro-mechanical Instruments GATE EE 2023 MCQ +2 marks -0.66 marks

A 3-phase, star-connected, balanced load is supplied from a 3-phase,  (rms), balanced voltage source with phase sequence R-Y-B, as shown in the figure. If the wattmeter reading is  and the line current is  (rms), then the power factor of the load per phase is

Unity

0.5 leading

0.866 leading

0.707 lagging

Explanation:

Wattmeter is connected such that current coil lies in one phase & potential coil is connected across other 2 phases.

Reading of wattmeter = VLIL sinφ

-400 = 400 × 2 × sinφ

φ = -30°

Since φ < 0, pf is leading

pf = cos 30° = 0.866 leading

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