In an a.c. circuit, voltage and current are given by: The average power dissipated in one cycle is

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Solution

Q.
In an a.c. circuit, voltage and current are given by:

$V = 100 \sin (100 t) V$

and $I = 100 \sin (100 t + \frac{π}{3}) m A$ respectively.

The average power dissipated in one cycle is [2024]

1 10 W

2 2.5 W

3 25 W

4 5 W

Ans.
(2)

$P_{avg} = V_{rms}$ $I_{rms} \cos (Δ ϕ)$

$= \frac{100}{\sqrt{2}} \times \frac{100 \times 10^{- 3}}{\sqrt{2}} \times \cos (\frac{π}{3}) = 2.5 W$

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