A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:

Question

Dr. Abubacker · Accepted Answer

[Solution] $\omega_0 = 1/\sqrt{LC} = 50$ rad/s; half-power points are $\omega_0 \pm R/2L = 50 \pm 4$, i.e. 46 and 54 rad/s. Answer (2).

Q. A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:

Explanation

Reviewed by Dr. Abubacker

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