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GATE EE 2017 Set 1 — Question 9

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MCQ+2 / -0.67MediumAC Power & Three-PhaseElectric Circuits

Electric Circuits → AC Power & Three-Phase

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Question

A source is supplying a load through a 2-phase, 3-wire transmission system as shown in figure below. The instantaneous voltage and current in phase-a are van=220sin⁡(100πt)v_{an} = 220 \sin(100\pi t) V and ia=10sin⁡(100πt)i_a = 10 \sin(100\pi t) A, respectively. Similarly for phase-b, the instantaneous voltage and current are vbn=220cos⁡(100πt)v_{bn} = 220 \cos(100\pi t) V and ib=10cos⁡(100πt)i_b = 10 \cos(100\pi t) A, respectively.
The total instantaneous power flowing from the source to the load is

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