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

Question

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, 200, 100, 50, 400

MARKS App · Accepted Answer

The average power consumed in an AC circuit is given by P = 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 = π 3 . P = 200 × 2 2 cos ⁡ π 3 = 200 × 2 2 × 1 2 = 100 W

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