For the MOSFET differential pair with a common-mode voltage Vcm applied, i.e., vgi = VG2 = Vcm in…

For the MOSFET differential pair with a common-mode voltage Vcm applied, i.e., vgi = VG2 = Vcm in the figure below, let Vpp = VSS = 1.5V, K,(W/L) = 4mA/V2, V, = 0.5V, I = 0.4mA,V
2
and Rp = 2.5kΩ, and neglect channel-length modulation. Assume that the current source I requires a minimum voltage of 0.4V to operate properly.
1) (4 points) Find VGs for each transistor.
2) (8 points) For V
CM
= 0, find Idi, Id2, Vpi, and V
D2
.
3) (8 points) For V
CM
+1V, find Ip1, 102, Vpi, and V
D2
.
4) (8 points) For V
CM
-0.2V, find Idi, 102, VD1, and V
D2
.
5) (3 points) What is the highest permitted value of VcM?
6) (4 points) What is the lowest value allowed for V
CM
? Vpp Rp Rp Upio