We want to find the output waveform of an inverter by solving the differential equation numerically using ndsolve for two different vin(t) clock waveforms. once the vo(t) waveform is obtained, we want to calculate subscript[\[tau], plh] and subscript[\[tau], phl] numerically from the vo(t) waveform using findroot. the device/circuit parameters are: kn = 1ma/v^2, vtn = |vtp| = 1v, and cl = 1pf.

Explanation:

We want to calculate Vo(t) starting from t = -2ns. Assume the initial condition for Vo at t = -2ns is 5 Volt. (a) Plot Vo(t) and Vin(t) together on the same plot for -2ns < t < 10ns. (b) Once the Vo(t) waveform is obtained, you can solve for τ pLH and τ pHL by setting Vo( τ pLH ) and Vo( τ pHL ) to 2.5 using FindRoot . (c) Plot Ids(t) and Isd(t) for -2ns < t < 10ns on the same plot. Calculate the energy dissipated during this one-cycle period by integrating (i) power generated by Vdd, isd(t)*5, and (ii) power dissipated both NMOS and PMOS, Isd(t)*(5–Vo(t)) + Ids(t)*Vo(t) over the one-cycle of operation.

if they have a finite resultant