Obtain the resonant frequency ωr of a series LCR circuit with L = 2.0 H, C = 32 μF and R = 10 Ω. What is the Q-value of this circuit?
Given: The inductance in the circuit is 2.0H.
The capacitance in the circuit is 32μF.
The resistance in the circuit is 10Ω.
To find: The resonant frequency and Q-value of the circuit.
The resonant frequency is given by
ωr=1√LC=1√2×32×10−6
⇒125rad/s
The Q value of the circuit is given by:
Q=1R√LC=110√232×10−6
⇒Q=25