If an AC main supply is given to be 220 V,wh | vedclass

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Question

(A) The given $AC$ supply voltage is the root mean square value,$V_{rms} = 220 \ V$. The peak voltage $V_0$ is given by $V_0 = V_{rms} 	imes \sqrt{2}

Vedclass · Accepted Answer

$198 \ V$

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(A) The given $AC$ supply voltage is the root mean square value,$V_{rms} = 220 \ V$. The peak voltage $V_0$ is given by $V_0 = V_{rms} 	imes \sqrt{2}$. The average e.m.f. $(V_{av})$ over a positive half cycle is given by the formula $V_{av} = \frac{2}{\pi} V_0$. Substituting the value of $V_0$,we get $V_{av} = \frac{2}{\pi} 	imes (V_{rms} 	imes \sqrt{2}) = \frac{2\sqrt{2}}{\pi} V_{rms}$. Substituting $V_{rms} = 220 \ V$,we get $V_{av} = \frac{2 	imes 1.414}{3.1416} 	imes 220 \approx 198 \ V$.

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

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