For an RLC circuit driven with voltage of amplitude vm and frequency ω₀ = (1)/(√(LC)) the current exhibits resonance. The quality factor, Q is given by: (a) (CR)/(ω₀) (b) (ω₀ L)/(R) (c) (ω₀ R)/(L) (d) (R)/((ω₀ C))

Answer: (b). Q = ratio of reactance of L (or C) at resonance to R. Q = (ω₀ L)/(R) = (1)/(ω₀ CR) So the answer is (b) (ω₀ L)/(R).

For an RLC circuit driven with voltage of amplitude vm and frequency… | JEE Main 2018

Q103JEE Main 2018Easy

Resonance, Bandwidth & Q Factor

For an RLC circuit driven with voltage of amplitude vm and frequency $\omega_0 = \frac{1}{\sqrt{LC}}$ the current exhibits resonance. The quality factor, Q is given by:

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Answer: (b)

$Q$ = ratio of reactance of $L$ (or $C$ ) at resonance to $R$ .
$Q = \frac{\omega_0 L}{R} = \frac{1}{\omega_0 CR}$
So the answer is (b) $\frac{\omega_0 L}{R}$ .

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