Specifications:

$(1)$ Two NMOS transistors are matched: $$nCox $=200$A$/$V$2,$ Vtn $=2$ V$,$ n $=0\mathrm{.}01$ V$1,$ Wn $=1$m$,$

L $=0\mathrm{.}2$m$.$ Please short the BODY to the SOURCE.

$(2)$ ISS $=4$ mA$,$ RSS $=2$ k$,$ RD $=1\mathrm{.}5$ k$,$RD $=0\mathrm{.}2$RD$,$ VDD $=10$ V$,$ and VB $=5$ V$.$

$(3)$ The differential$-$mode AC sinusoidal signal, vd$,$ has $200$ mV amplitude and $2$ kHz frequency.

$(4)$ The common$-$mode AC sinusoidal signal, vc$,$ has $200$ mV amplitude and $0\mathrm{.}4$ kHz frequency.

$(5)$ Note that the differential$-$mode gain, Ad $=|$vOP $$ vON$|/|$vd$|.$

$(6)$ Note that the common$-$mode gain, Ac $=|$vOP $$ vON$|/|$vc