Given that VTND = VTNL = 1 V, KnD = KnL = 1 mA/V2, λD = λL = 0. a) Calculate VGG when VDSL = 4 V. b) Show that both transistors are operating in saturation mode. c) Calculate the voltage gain Av = Vo/VS You may need following information: iD = Kn(vGS−VTN)2 in saturation. iD = Kn[2(vGS-VTN)vDS−vDS2] in nonsaturation. vDs(sat) = vGS-VTN r0 = 1/(λIDQ) Figure 4.6 Expanded small signal equivalent circuit, including output resistance, gm = 2KnIDQ = 2Kn(VGSQ-VTN) for NMOS transistor
![Given that VTND = VTNL = 1 V, KnD = KnL = 1 mA/V2, λD = λL = 0. a) Calculate VGG when VDSL = 4 V. b) Show that both transistors are operating in saturation mode. c) Calculate the voltage gain Av = Vo/VS You may need following information: iD = Kn(vGS−VTN)2 in saturation. iD = Kn[2(vGS-VTN)vDS−vDS2] in nonsaturation. vDs(sat) = vGS-VTN r0 = 1/(λIDQ) Figure 4.6 Expanded small signal equivalent circuit, including output resistance, gm = 2KnIDQ = 2Kn(VGSQ-VTN) for NMOS transistor](https://www.doubtrix.com/js/ckeditor/filemanager/connectors/php/editor/1697869044-Br4bfhrwwg.jpg)
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![Question 2 The following parameters have been defined for the MOSFET amplifier circuit shown in Figure 2.1: VDD = 20 V, R1 = 2.2 MΩ, R2 = 1.8 MΩ, RD = 1.5 kΩ. (a) Given that the MOSFET has the parameters K = 0.475 mA/V2 and a turn-on voltage, Vto = 2.1 V, calculate the value of source resistance, Rs, needed to set a DC bias drain current of ID = 4 mA. [6 marks] (b) With Rs set at the value calculated in part (a), determine the value of the drain voltage, VD, and confirm whether or not the MOSFET is operating in the saturation region. [5 marks] (c) If the MOSFET has rd = 10 kΩ, complete the small-signal equivalent model for the amplifier circuit and calculate its input resistance, output resistance, open-circuit gain (i.e., with RL = ∞) and overall gain (when RL = 1 kΩ). [9 marks] Figure 2.1](https://www.doubtrix.com/uploads/editor/2185749880UDRAjiUDlM.png)