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GATE EE 2018 Set 1 — Question 18

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MCQ+1 / -0.33HardSinusoidal Steady-StateTransient & AC Steady-StateElectric CircuitsComplex PowerAC Power & Three-Phase

Electric Circuits → AC Power & Three-Phase → Complex Power

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Question

In the figure, the voltages are v1(t)=100cos⁡(ωt)v_1(t) = 100\cos(\omega t), v2(t)=100cos⁡(ωt+π/18)v_2(t) = 100\cos(\omega t + \pi/18) and v3(t)=100cos⁡(ωt+π/36)v_3(t) = 100\cos(\omega t + \pi/36). The circuit is in sinusoidal steady state, and R≪ωLR \ll \omega L. P1P_1, P2P_2 and P3P_3 are the average power outputs. Which one of the following statements is true?

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