STANDARD Physics Resonance in LCR Circuits MCQ Question
A series LCR circuit with R = 22 Ω, L = 1.5 H and C = 40 μF is connected to a variable frequency 220 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle?
2000 W
2200 W
2400 W
2500 W
Correct Answer
Detailed Explanation
When the frequency of the supply equals the natural frequency of the circuit, resonance occurs. The impedance Z = R = 22Ω and Iₘₛ = Vₘₛ/Z = 220/22 = 10A. Average power transferred per cycle, P = Vₘₛ Iₘₛ cos0° = 220 × 10 × 1 = 2200W.
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