COMEDK · Physics · 23. Alternating Current
A series LCR circuit having \(\mathrm{R}=44 \Omega, \mathrm{~L}=2 \mathrm{H}\) and \(\mathrm{C}=25 \mu \mathrm{~F}\) is connected to a variable frequency of 220 V . What is the average power transferred to the circuit in one complete cycle if the frequency of supply equals the natural frequency of the circuit?
- A 1.1 kW
- B 4.2 kW
- C 1.2 kW
- D 2.1 kW
Answer & Solution
Correct Answer
(A) 1.1 kW
Step-by-step Solution
Detailed explanation
The natural frequency of a series LCR circuit is given by the resonant frequency \(f_0 = \dfrac{1}{2\pi \sqrt{LC}}\). At resonance, the inductive reactance \(X_L\) equals the capacitive reactance \(X_C\), which implies the net impedance of the circuit is equal to the resistance…
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