ssuming zero initial conditions, and without obtaining its ODE, find its transfer

function G$($s$)=$ Vc$($s$)$

V $($s$).$

$2.$ Assuming R $=210,$ L $=22$mH$,$ and C $=0\mathrm{.}1$F$,$ compute the natural frequency

n and the damping ratio of the electrical circuit. Determine if the system is

under$-$damped and discuss your statement.

$3.$ Now, assuming v$($t$)$ the unit step input, find the peak time tp$,$ and the maximum

overshoot Mp of the output voltage $($system response$),$ vc$($t$).$