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  4. If an AC main supply is given to be 220 V, then what would be the average e.m.f. during a positive half cycle?

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Q. If an $AC$ main supply is given to be $220 \,V$, then what would be the average e.m.f. during a positive half cycle?

Alternating Current

Solution:

$V_{ av }=\frac{2}{\pi} V_{0}$
$=\frac{2}{\pi} \times\left(V_{ rms } \times \sqrt{2}\right)=\frac{2 \sqrt{2}}{\pi} \cdot V_{ rms }$
$=\frac{2 \sqrt{2}}{\pi} \times 220=198\, V$