Q$1(100$ points$)$

Consider the single stage amplifier below with capacitor C and $=0$ for both

devices P$1$ & M$1($neglecting the MOS parasitic capacitors$)$:

$1.$ Draw the small signal equivalent circuit. $(30$ points$)$

$2.$ Write the expression for the small signal voltage gain a$($s$)=$ Vout$/$Vin as function of

C$,$ gmn and gmp$.(40$ points$)$

$3.$ Using gmn$=2$gmp$=1$m A$/$V assign numerical values to a$($s$).(10$ points$)$

$4.$ What would be the DC gain of this amplifier $($expression and value$)?(10$ points$)$

$5.$ What would be the pole frequency of this amplifier $($expression and value$)?(10$

points$)$