Discussion Forum



1)

For an R-L-C circuit driven with a voltage amplitude vm and freqency $\omega_{0}=\frac{1}{\sqrt{LC}}$, the current exhibits resonance. The quality factor, Q is given


A) $\frac{\omega_{0}L}{R}$

B) $\frac{\omega_{0}R}{L}$

C) $\frac{R}{\omega_{0}C}$

D) $\frac{CR}{\omega_{0}}$

Answer:

Option A

Explanation:

Sharpness of resonance of a resonant L-C-R Circuit is determined by the ratio of resonant frequency with the selectivity of circuit. This ratio is also called "Quality Factor" or Q-factor.

Q-factor = $\frac{\omega_{0}}{2\triangle\omega}$

$\frac{\omega_{0}L}{R}$

$\frac{I}{\omega_{0}CR}$