First slide

Alternating Current and voltage

Question

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

Moderate

A

198V
B

386V
C

256V
D

None of these

Solution

$V_{av} = \frac{2}{π} V_{0} = \frac{2}{π} \times (V_{rms} \times \sqrt{2}) = \frac{2 \sqrt{2}}{π} . V_{rms}$
$= \frac{2 \sqrt{2}}{π} \times 220 = 198 V$

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