Question

What is $Q$-factor? Write its expression and write the conditions for its maximum value.

Answer 1

$Q$-factor: In LCR Circuit, the ratio of resonance frequency to the difference of its neighbouring frequencies so that their corresponding current is $1/\sqrt{2}$ times of the peak value, is called $Q$-factor of the circuit.
Formula: $Q=\frac{1}{R}\sqrt{\frac{L}{C}}$
Conditions for the large value of $Q$ factor:
(i) Value of $\frac{L}{C}$ should be large.
(ii) Value of $R$ should be less.