Electro Magnetic Induction And Alternating Currents Question 183

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

Options:

A) $ 12,\Omega $

B) $ 40,\Omega $

C) $ \sqrt{(52\times 25)}\Omega $

D) $ 360,\Omega $

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Answer:

Correct Answer: A

Solution:

  • In an ac circuit, a pure indcutor does not consume any power. Therefore, power is consumed by the resistor only.
    $ \therefore ,P=I_{v}^{2}R $ or $ 108={{(3)}^{2}}R $ or $ R=12\Omega $


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