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CUET · PHYSICS · PYQ PAPER 2025

A series LCR circuit with an inductor, a capacitor and a resistor of resistance 50 Ω is connected to an ac source of 24 V, 50 Hz. The impedance of the circuit is 56 Ω. The average power dissipated in the circuit is

  1. A 9.18 W
  2. B 11.5 W
  3. C 21.4 W
  4. D 514.3 W
Verified Solution

Answer & Solution

Correct Answer

(A) 9.18 W

Step-by-step Solution

Detailed explanation

\(P_{avg} = \frac{V_{rms}^2 R}{Z^2}\) \(P_{avg} = \frac{(24 \text{ V})^2 \times 50 \text{ Ω}}{(56 \text{ Ω})^2} = \frac{576 \times 50}{3136} = \frac{28800}{3136} \approx 9.18 \text{ W}\)