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Question: If an ac main supply is given to be 220 V. What would be the average e.m.f. during a positive half c...

If an ac main supply is given to be 220 V. What would be the average e.m.f. during a positive half cycle

A

198V

B

386V

C

56V

D

None of these

Answer

198V

Explanation

Solution

Vav=2πV0=2π×(Vrms×2)=22π.VrmsV_{av} = \frac{2}{\pi}V_{0} = \frac{2}{\pi} \times (V_{rms} \times \sqrt{2}) = \frac{2\sqrt{2}}{\pi}.V_{rms}

=22π×220=1986muV= \frac{2\sqrt{2}}{\pi} \times 220 = 198\mspace{6mu} V