$2.$ Consider the circuit below as a candidate for realizing the $2$nd order low$-$pass transfer

function:

H$($s$)=$ Vout

Vin

$=$ K

$($ s

p

$+1$

$)2$

$($a$)$ Compute the circuit transfer function.

$($b$)$ For a normalized design, p $=1$ rad$/$s and K $=5,$ choose element values to

realize the given transfer function. Choose R$1=1,$ R$3=10$

$($c$)$ The actual passband edge frequency is to be p $=$ Kf $=0\mathrm{.}644.$ In addition Km

$=1.$ Compute the final circuit parameter values.