The following series resonant LCR circuit has a quality factor (Q-factor) 0.4 and a bandwidth of 1.3

Question

The following series resonant LCR circuit has a quality factor (Q-factor) 0.4 and a bandwidth of 1.3 kHz . The value of inductance is then\

Professor PC Thomas Classes · Answer

$\frac{1}{\mathrm{Q}}=\frac{2 \Delta \omega}{\omega_{0}}=\frac{2 	imes 1.3 	imes 10^{3}}{\omega_{0}}$\ $\Rightarrow \omega_{0}=2 	imes 1.3 	imes 10^{3} 	imes 0.4$\ $\omega_{0}=\frac{1}{\sqrt{\mathrm{LC}}}=1.04 	imes 10^{3} \quad \mathrm{~L}=\frac{1}{\omega_{0}^{2} \mathrm{C}}$\