a current$-$mirror$-$loaded differential amplifier to which the series$-$shunt

feedback is applied through the voltage divider $($R$1,$ R$2)$ where R$1+$R$2=470$k$.$ All MOSFETs have $|$VA$|=6$V and are operational at $|$VOV $|=0\mathrm{.}15$V$.$

$($a$)$ Find gm and ro$.$

$($b$)$ Carefully explain where you would break the circuit to compute A and draw the new circuit. Indicate where Vt is and where you would measure Vr$.$ Please provide a neat circuit. Use a circuit drawing software or use straight lines if you are drawing it manually

$($this applies for the entire project$).$

$($c$)$ Compute the numerical value of Vd$2,4$

Vt $.$

Hint: which also happens to be the gain of a differential amplifier $($Ch $9).$

$($d$)$ Find the loop$-$gain A in terms of and finally the numerical value of A$.$

$($e$)$ Find the values of R$1$ and R$2$ that result in a non$-$ideal closed$-$loop gain of exactly $6$ V$/$V$.$

$($f$)$ In MATLAB$/$Python$,$ plot the closed$-$loop gain as a function of R$2.$ Indicate R$2$ where Af is $6$ V$/$V$.$ Does this match your results from part $($e$)?$