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 $
Show Answer
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 $
