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A resistor and an inductor are connected...

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

A

(A) `12 Omega`

B

(B) `40 Omega`

C

(C) `sqrt((52 xx 28))Omega`

D

(D) `360 Omega`

Text Solution

Verified by Experts

The correct Answer is:
A
In an ac circuit, a pure inductor does not consume any power. Therefore, power is consumed by the resistor only.
`:. P=I_(V)^(2) R` ltbRgt or `108 =(3)^(2) R or R = 12 Omega`.
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  • A resistor and a capacitor are connected to an ac supply of 200 V, 50 Hz, in series. The current in the circuit is 2A. If the power consumed in the circuit is 100 W then the resistance in the circuit is

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