Series resonant band-pass filter

Transfer function: $H(j\omega )=\frac{2m.j{\displaystyle \frac{\omega }{{\omega }_0}}}{1+2m.j{\displaystyle \frac{\omega }{{\omega }_0}}+{\left(j{\displaystyle \frac{\omega }{{\omega }_0}}\right)}^2}$

Center frequency: $f_0=\frac{1}{2\mathrm{\pi }\sqrt{\mathrm{LC}}}$

Damping coefficient: $m=\frac{R_{L}C}{2\sqrt{\mathrm{LC}}}$

Band width: $∆\omega =2m.{\omega }_0=\frac{R_L}{\mathrm{L}}$