The following schematic shows a common source amplifier with a diode connected NMOS as a load. VDD W 4M Vino M - Vout Hand calculations: VDD =1.2V, Vth1,2=0.322V, uCox-260uA/V2, W,2-10um, 1,2=1um a) Sketch how ld and VouT vary with VIN. b) What voltage VIN should be applied to make VOUT VDD/2? c) How large is the power consumption for the circuit when VIN calculated in (b) is applied? d) Draw the small-signal schematic and calculate gm for the VIN calculated in (b). e) Calculate the low frequency small-signal gain Av-vout/vin. Compare with VOUT- VIN sketch. How can we increase this gain? f) Calculate the low-frequency input resistance rin and output resistance rout.