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# A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40Ω resistor is connected to 230 V variable frequency ac source.

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A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40Ω 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 :

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Explanation:

Q = $$\frac{\omega}{\Delta \omega}$$ = $$\frac{\omega L}{R}$$

⇒ Δω = R/L = $$\frac{50}{4}$$ = 8 rad/sec

ω0 = $$\frac{1}{\sqrt{LC}}$$ = $$\frac{1}{\sqrt{5 \times 80 \times 10^{-6}}}$$

ωmin = ω0 - $$\frac{\Delta \omega}{2}$$ = 46 rad/s

ωmax = ω0 - $$\frac{\Delta \omega}{2}$$

This post was modified 5 months ago by admin
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