Consider the circuit below, where RD= 2k2 and λ=0, if Rin is 2002, then the voltage gain Av =

Determine the mathematical model of:     a parallel RC circuit with an input voltage of Vs.

Given the following Two-stage Operational Transconductance Amplifier and its corresponding specifications: VDD Vout1 kp kn vth,n vth,p λη λp 3 5 1.5 0.75 1.13E-03 2.25E-03 0.28 0.3 0.6 0.3 |Id(M4)| 1.00E-05 Vsd4 0.55 Vds2 0.3 a) Assuming Vout2 = 0.75V, determine the the drain current of M5 and the gate voltage, V₁, of M6 b) Draw the small signal equivalent model of the circuit c) Calculate for the transconductance and output resistance of the highlighted (in red) portion of the circuit Vc Vb Va Vi VDD P PMOS M4 PMOS M3 M2 NMOS M1 NMOS Vout1 Vd JU PMOS M5 M6 NMOS Vout2

1. Sketch the transfer curve defined by Ipss = 12 mA and Vp=-6 V. 2. For a JFET with Ipss = 8 mA and Vp = -4 V, determine: a. the maximum value of gm (that is, gm.), and b. the value of gm at the following dc bias points: VGs = - 0.5 V, VGs =-1.5 V, and Vcs=-2.5 V. 3. Given y = 3.8 mS and yos = 20 µS, sketch the JFET ac equivalent model.