Find the output impedance looking in just left of c5

Question

Question 1- What are the values for A_v, R_in, R_out, and A_i(i₀/i₁) for the amplifier shown below. R₄= 50kΩ, R_I=100Ω, and R_L= 40kΩ. V_TN=0.8V, V_GS=3V, V_DS=5V, I_DS=1mA, and λ=0.005.

Question 2- Given the circuit and parameters below.

For the common source amplifier: V_DD =10V, R₁=1 MΩ, R₂ =1.5 MΩ, R_D=5 KΩ, R_S = 2kΩ. Kn = 0.01 A/V². λ = 0.01 V_TN = 1.0V.

For the common collector amplifier: R₄=60 KΩ, R₃=40 kΩ, R_C=4 KΩ, R_E=300 Ω, gm = 0.4S, and ß_o = 100. R₅ = 1500Ω.

Draw the AC equivalent circuit below this diagram. Calculate and show all equivalent resistances (like R₁ II R₂ for example.) R_i = 5KΩ.

a) For the DC operating point, write the 3 equations relating V_GS, V_DS, and I_DS. State any assumptions. Find V_DS and I_DS given V_GS = 1.5 V. Neglect channel length modulation.

b) Find the terminal input impedance of stage 2 [R_iB]. (Looking in, just after R₃ and R₄).

c) Find the output impedance? (Looking in, just left of C₅).

d) Calculate the AC terminal voltage gain for stage 1.

e) Find the overall voltage gain.