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

Given: L = 2.0H

C = 32mF = 32 × 10-6 F


R = 10 Ω


The diagram of the question is:



Resonant frequency ωr is calculated as follows:





ωr = 125 s-1


Q- value of the LCR circuit can be calculated as follows:




On calculating, we get


Q = 25


8