Problem $1$

Consider the circuit in Figure $1.$

$.$model M NMOS Vto$=1Kp=1mL=1uW=2u$

Figure $1$: CS Amplifier with Rs Feedback.

$1$a$)20$ points: Perform DC Analysis. Find $V_D,V_S$ and the $Q$ point $Q\{\begin{array}{c}{V}_{DS}\\ I_D\end{array}.$ Show work.

$1$b$)50$ points: Perform $AC$ Analysis and find the expression and value of the gain $A=\frac{v_0}{v_i}.$ Show work.

$1$c$)30$ points: Simulate the circuit in Figure $1.$ Verify the values of $V_D$ and $V_S$ that you found in part la$).$ Present a plot of $|A|v_i$ and $v_o.$ Verify the value of gain A that you found in part lb$).$ Complete the following table.

$\backslash$table$[[$Variable$,$Calculated,Measured$],[V_D[V],,],[V_S[V],,],[A,,]]$

$2$