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

GATE Electrical Engineering (EE) 2022 Solved Paper

Question : 46 of 65

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The voltage at the input of an AC-DC rectifier is given by v(𝑡) = 230√2 sin 𝜔𝑡 where 𝜔 = 2𝜋 × 50 rad/s. The input current drawn by the rectifier is given by

i(t) = 10 sin \;⁡ (ω t−\;{π\;}/{3}) + 4 sin \;⁡ (3ω t−\;{π\;}/{6}) + 3 sin \;⁡ (5ω t−\;{π\;}/{3})

The input power factor, (rounded off to two decimal places), is, __________ lag.

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