The r.m.s. value of voltage and current are $200 V$ and $3 A$ respectively of an a.c. source. If the phase angle between the current and voltage is $\frac{π}{6}$ , then the power in the a.c. circuit is

219.6 W

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319 .6 W

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519.6 W

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419.6 W

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Solution

The correct option is C $519.6 W$
Given, $V_{r m s} = 200 V; I_{r m s} = 3 A$ and the phase angle, $ϕ = \frac{π}{6} = 30^{\circ}$

Power in an a.c. circuit is,

$P = V_{r m s} I_{r m s} cos ϕ$

$= 200 \times 3 \times \frac{\sqrt{3}}{2}$

$= 300 \sqrt{3} = 300 \times 1.732$

$= 519.6 W$

 Hence, $(C)$ is the correct answer.

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The r.m.s. value of voltage and current are 200 V and 3 A respectively of an a.c. source. If the phase angle between the current and voltage is π6, then the power in the a.c. circuit is

The correct option is C 519.6 WGiven, Vrms=200 V ; Irms=3 A and the phase angle, ϕ=π6=30∘ Power in an a.c. circuit is, P=Vrms Irms cos ϕ =200×3×√32 =300√3=300×1.732 =519.6 W  Hence, (C) is the correct answer.

The r.m.s. value of voltage and current are $200 V$ and $3 A$ respectively of an a.c. source. If the phase angle between the current and voltage is $\frac{π}{6}$ , then the power in the a.c. circuit is