In an AC circuit, the instantaneous values of emf and current are E = 200 sin 300 t V and i = 2 sin ⁡ 300 t + π 3 A respectively. The average power consumed (in W ) is

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TestHub · Accepted Answer

The average power consumed in an AC circuit is given by

$P = \frac{V_{0} I_{0}}{2} \cos ϕ$

Where $ϕ$ is phase angle and $V_{0}$ and $I_{0}$ are the peak values of voltage and current respectively.

Given, $V_{0} = 200 V, I_{0} = 2 A, ϕ = \frac{π}{3}$ .

$P = \frac{200 \times 2}{2} \cos \frac{π}{3}$

$= \frac{200 \times 2}{2} \times \frac{1}{2} = 100 W$

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