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GATE 2020 IN – Question 28

Electrical Circuits and Machines · AC circuits and resonance: Peak, average and rms values, apparent, active and reactive power, power factor, phasor analysis, impedance and admittance, series and parallel resonance, locus diagrams, basic filters with R, L and C elements · 1 mark · Numerical answer

Three 400 Ω resistors form a delta supplied by balanced 400 V RMS, 50 Hz, R-Y-B three-phase three-wire mains. Find line current in A, to one decimal place.

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Correct answer: 1.7 to 1.8

Explanation

In a delta, each resistor sees the line voltage, so branch current is $I_{ph}=400/400=1$ A RMS. The line current is the phasor difference of two branch currents 120° apart, with magnitude $\sqrt3I_{ph}=1.732$ A. Rounded to one decimal place it is 1.7 A.

More AC circuits and resonance: Peak, average and rms values, apparent, active and reactive power, power factor, phasor analysis, impedance and admittance, series and parallel resonance, locus diagrams, basic filters with R, L and C elements questions

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