First slide

Power in a.c. circuit

Question

A resistor and an inductor are connected to an ac supply of 120 V and 50 Hz. The current in the circuit is 3 (A) If the power consumed in the circuit is 108 W, then the resistance in the circuit is

Easy

A

$12 Ω$
B

$40 Ω$
C

$\sqrt{(52 \times 28)} Ω$
D

$360 Ω$

Solution

$P = {i_{r m s}}^{2} . R = 3^{2} \times R 108 = 9 \times R \Rightarrow R = 12 Ω$

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