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MHT CET · Physics · Alternating Current

The current flowing in a coil is 3 A and the power consumed is 108 W . If the a.c. source is of \(120 \mathrm{~V}, 50 \mathrm{~Hz}\), the resistance in the circuit is

  1. A \(24 \Omega\)
  2. B \(36 \Omega\)
  3. C \(12 \Omega\)
  4. D \(6 \Omega\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(12 \Omega\)

Step-by-step Solution

Detailed explanation

\(\begin{array}{ll} & \mathrm{P}=\mathrm{I}_{\mathrm{rms}}{ }^2 \mathrm{R} \\ \therefore \quad & 108=(3)^2 \mathrm{R} \\ & \mathrm{R}=12 \Omega\end{array}\)