Assume that the JFET shown in Lecture 35, slide 10 is Si and has p+ regions doped with 10^18 acceptors/cm^3 and a channel with 10^16 donors/cm^3. The channel half-width a is 1 um. Calculate the pinch-off voltage VP and the built-in voltage Vbi, that is, the contact potential V0. What voltage VGD is required to cause pinch-off when V0 is included? Note: -VGD (pinch-off) is defined as the "threshold voltage" VT. With VG = -3 V, at what value of VD does the current saturate? [Hint: New Gate Voltage VG -> VG - V0]
3. If the ratio Z/L = 10 for the JFET of Problem 2 and μn = 1000 cm^2/V-s, calculate ID(sat) for VG = 0, -2, -4, and -6 V. Plot ID(sat) vs. VD(sat).
4. For the JFET of Problem 3, plot ID vs. VD for the same four values of VG. Terminate each plot at the point of saturation.