First slide

Power in a.c. circuit

Question

Current flowing through a $10 Ω$ resistor is given by $i = (3 + 4 \cos 100 π t) A$ . Then average power consumed by the resistor is

Moderate

A

150 W
B

170 W
C

75 W
D

220 W

Solution

$I_{r m s} = \sqrt{3^{2} + \frac{4^{2}}{2}} A = \sqrt{17} A$
$∴ P = I_{r m s}^{2} R = 17 \times 10 W = 170 W$

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