(Solved): 1) For an NMOS differential pair with a common-mode voltage VCM applied, as shown in the fig ...

1) For an NMOS differential pair with a common-mode voltage $$V_{CM}$$ applied, as shown in the figure below,let $$V_{DD}=V_{SS}=1.0\mathrm{V},{\mathrm{kn}}^{?}=0.4\mathrm{mA}/{\mathrm{V}}^2,(W/L{)}_{1,2}=10,V_m=0.4\mathrm{V},I=0.16\mathrm{mA},R_D=5\mathrm{k}?$$, and neglect channel-length modulation. a) Find $$V_{OV}$$ and $$V_{GS}$$ for each transistor. b) For $$V_{CM}=0$$, find $$V_S,I_{D1},I_{D2},V_{D1}$$, and $$V_{D2}$$. c) Repeat (b) for $$V_{CM}=+0.4\mathrm{V}$$. d) Repeat (b) for $$V_{CM}=?0.1\mathrm{V}$$. e) What is the highest value of $$V_{CM}$$ for which $$Q_1$$ and $$Q_2$$ remain in saturation? f) If current source $$I$$ requires a minimum voltage of $$0.2\mathrm{V}$$ to operate properly, what is the lowest value allowed for $$V_S$$ and hence for $$V_{CM}$$ ?