Q$1(30$ points$)$ v

Consider switching delays for $1$ pF in a $10-$kQ resistive$-$load inverter circuit, where unCox $=$

$250$ MA$/$V$2$

Von $=0\mathrm{.}5$ V

y $=0.2=0$

W$/$L $=20$

Assume that the input signal is an ideal rectangular pulse switching between $0$ and $1\mathrm{.}6$V with zero rise $/$fall times

a$)$ Calculate TpHL and Tp$.$ by using the average$-$current method

b$)$ By using a differential equation method and the proper initial voltage across the capacitor $($e$.$g$.,$ when the input voltage is Vor, the capacitance voltage is VoL$),$ Calculate TPH$.$ and TuH