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

The inductance of the inductor can be considered as

The capacitance of the capacitor will be ,

The resistance of the resistor as per question is

As we know, resonant frequency can be calculated by the relation given below,

Now, Q – value of the circuit can be calculated by the relation stated below:

   

Thus , the Q – value of the question given above will be 25