Alternating Current

Obtain the resonant frequency ω of a series LCR circuit with L = 2.0H, C = 32 µF and R = 10 Ω. What is the Q-value of this circuit?

Given data can be listed as,

L = 2.0 H

C= 32 µF = 0.000032 F

R = 10 Ω.

To get - Resonant frequency =?

Q- value = ?

$https://latex.codecogs.com/svg.image?\omega= \frac{1}{\sqrt[]{LC}}$
$https://latex.codecogs.com/svg.image?\omega= \frac{1}{\sqrt[]{2.0 x 0.000032}}$

$https://latex.codecogs.com/svg.image?\omega= 125rad/s$

The Q value of the circuit is given as,

$https://latex.codecogs.com/svg.image?Q = \frac{\omega L}{R}$

$https://latex.codecogs.com/svg.image?Q = \frac{125 x 2}{10}$

$Q = 25$