First slide

Power in a.c. circuit

Question

An r.m.s. volt age of 110 V is applied across a series circuit having a resistance $11 Ω$ and impedance $22 Ω .$ The power consumed is

Moderate

A

275 W
B

366 W
C

550 W
D

1100 W

Solution

$P = E_{v} I_{v} \cos ϕ; P = E_{v} \times \frac{E_{v}}{Z} \times \frac{R}{Z}$
$P = \frac{E_{v}^{2} R}{Z^{2}} = \frac{110 \times 110 \times 11}{22 \times 22} W = 275 W$

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