$9\mathrm{.}16$ An NMOS differential amplifier with equal drain resistors, RD $=47$ kO$.$ has a differential gain Ad of $20$ V$/$V$.($a$)$ What is the value of for each of the two transistors? $($b$)$ If each of the two transistors is operating at an overdrive voltage Vov $=0\mathrm{.}2$ V$,$ what must the value of J be$?($c$)$ For vid $=0,$ what is the de voltage across each RD$$I $($d$)$ If vid is $20-$mV peak$-$to$-$peak sine wave applied in a balanced manner but superimposed on VCM $0\mathrm{.}5$ V$,$ what is the peak of the sine$-$wave signal at each drain? $($e$)$ What is the lowest value that VDD must have to ensure saturation$-$mode operation for and Q$2$ at all times? Assume V$,=0\mathrm{.}5$ V$.$