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  4. Electric mains in the residential areas in India is marked as 220V,50Hz . The mean value of the voltage over half a cycle is ..... V.

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Q. Electric mains in the residential areas in India is marked as $220V,50Hz$ . The mean value of the voltage over half a cycle is ..... $V.$

NTA AbhyasNTA Abhyas 2020

Solution:

Marked value is rms value. So $V_{r m s}=220V$
So, $V_{a v }=0.637V_{0}=0.637\times \sqrt{2}V_{rms}$
$=0.637\times \sqrt{2}\times 220=198V$