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GATE EE 2022 Set 1 — Question 33

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NAT+1 / -0MediumPower & Distortion FactorAC-DC ConvertersPower Electronics

Power Electronics → AC-DC Converters → Power & Distortion Factor

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Question

The voltage at the input of an AC-DC rectifier is given by v(t)=2302sin⁡ωtv(t) = 230\sqrt{2} \sin \omega t where ω=2π×50 rad/s\omega = 2\pi \times 50\ rad/s. The input current drawn by the rectifier is given byi(t)=10sin⁡(ωt−π3)+4sin⁡(3ωt−π6)+3sin⁡(5ωt−π3).i(t) = 10 \sin \left(\omega t - \frac{\pi}{3}\right) + 4 \sin \left(3\omega t - \frac{\pi}{6}\right) + 3 \sin \left(5\omega t - \frac{\pi}{3}\right).The input power factor, (rounded off to two decimal places), is, _________________ lag.
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