Derive the piece-wise linear model of a diode at the operating point VQ​ =0.8 V, if the reverse bias saturation current is Iₛ =10-¹⁵ A,Vᵀ​ =25.6mV, and by following the steps below:
a) Use the Shockley diode relationship iₛ=I (e V/T​ v​ −1) to determine the diode's small-signal resistance r d​ at V Q​ by computing the inverse of the derivative di/dv:r d​ =( dvdi​ )-¹ .
b) Obtain the equation of line of the resistance characteristic from a).
c) Determine Vᴰ where the line from b) crosses the abscissa.