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The value of quality factor is :
A
$\dfrac{\omega L}{R}$
B
$\dfrac{\omega}{RC}$
C
$\sqrt{LC}$
D
$\dfrac{L}{R}$
Detailed Solution
The quality factor of a series LCR circuit is the ratio of the reactance of the inductor (or capacitor) at resonance to the resistance:
$Q = \dfrac{\omega_0L}{R} = \dfrac{1}{\omega_0CR} = \dfrac{1}{R}\sqrt{\dfrac{L}{C}}$
It measures the sharpness of resonance.
So the quality factor is $\dfrac{\omega L}{R}$.
$Q = \dfrac{\omega_0L}{R} = \dfrac{1}{\omega_0CR} = \dfrac{1}{R}\sqrt{\dfrac{L}{C}}$
It measures the sharpness of resonance.
So the quality factor is $\dfrac{\omega L}{R}$.