Question:
A series LCR circuit with $R=40~\Omega$, $L=3H$ and $C=20~\mu F$ is connected to a 400 V AC supply with variable frequency. When the frequency of supply equals the natural frequency of the circuit, the average power transferred to the circuit in one complete cycle is:
A series LCR circuit with $R=40~\Omega$, $L=3H$ and $C=20~\mu F$ is connected to a 400 V AC supply with variable frequency. When the frequency of supply equals the natural frequency of the circuit, the average power transferred to the circuit in one complete cycle is:
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At resonance, power is maximized as $Z=R$.
Updated On: Jun 6, 2026
- 200 W
- 4000 W
- 6000 W
- 800 W
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The Correct Option is B
Solution and Explanation
Step 1: Concept
Resonance in LCR circuit ($X_L = X_C$).
Step 2: Meaning
At resonance, impedance $Z = R$. Current $I = V/R$.
Step 3: Analysis
$I = 400 V / 40~\Omega = 10$ A. Average power $P = I^2 R = 10^2 \times 40 = 100 \times 40 = 4000$ W.
Step 4: Conclusion
The average power is 4000 W.
Final Answer: (B)
Resonance in LCR circuit ($X_L = X_C$).
Step 2: Meaning
At resonance, impedance $Z = R$. Current $I = V/R$.
Step 3: Analysis
$I = 400 V / 40~\Omega = 10$ A. Average power $P = I^2 R = 10^2 \times 40 = 100 \times 40 = 4000$ W.
Step 4: Conclusion
The average power is 4000 W.
Final Answer: (B)
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