Question

Obtain the resonant frequency of a series lcr circuit with l = 2.0h, c=32 and = . What is q-value of this circuit?

Answer 1

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

ω r = 1/√LC

= 1/√2×32×10—⁶

⇒125rad/s

The Q value of the circuit is given by:

Q = 1/R√L/CC

= 1/10 √2/32*10—⁶

⇒ Q=25