Design a series $\backslash ($ R L C $\backslash )$ bandpass filter $($see Fig, $14\mathrm{.}19|$al$)$ with a quality factor of $5$ and a center frequency of $\backslash (20\backslash$mathrm$\{$krad$\}/\backslash$mathrm$\{$s$\}\backslash ),$ using a $50$ nF capacitor.

a$.$ Draw your circuit, labeling the component values and output voltage.

b$.$ For the filter in part $($a$),$ calculate the bandwidth and the values of the two cutoff frequencies.