(a) Show that if the capacitance (2y3)WLCox is much greater than all other parasitic capacitances in a FET, then in a FET, then f T(max) D 2CoxWL indicating that faster operation is achieved with...

(a) Show that if the capacitance (2y3)WLCox is much greater than all other parasitic capacitances in a FET, then in a FET, then f T(max) D 2CoxWL indicating that faster operation is achieved with small FETs operated at high currents. (b) If n 5 500 cm2 /Vs and Cox 5 3.5 fF/m2 , estimate fT(max) for a FET with W/L 5 (10 m)/ (1 m) that is operating at ID 5 100 A. (c) Repeat part (b) if ID is doubled. (d) Repeat part (b) if both W and L are halved, assuming everything else remains the same.