The rms value of current in a 50 ,Hz AC | vedclass

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(C) The $ AC $ current is represented by the equation $ I = I_{	ext{max}} \sin(\omega t) $.For a complete cycle,the average value of current $ I_{	e

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Zero

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(C) The $ AC $ current is represented by the equation $ I = I_{	ext{max}} \sin(\omega t) $.For a complete cycle,the average value of current $ I_{	ext{avg}} $ is defined as the integral of current over the time period $ T $ divided by the time period $ T $.$ I_{	ext{avg}} = \frac{1}{T} \int_{0}^{T} I_{	ext{max}} \sin(\omega t) dt $.Since the integral of $ \sin(\omega t) $ over a complete period $ T $ is zero,the average current over a complete cycle is always $ 0 $.Therefore,for any sinusoidal $ AC $ current,the average value over a complete cycle is $ 0 $.

The $ rms $ value of current in a $ 50 \,Hz $ $ AC $ circuit is $ 6 \,A $. The average value of $ AC $ current over a complete cycle is:

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