(Solved): The MOSFET in the circuit shown has \( V_{T}=0.8 \mathrm{~V}, k_{n}^{\prime} W / L=5 \mathrm{~mA} ...

The MOSFET in the circuit shown has \( V_{T}=0.8 \mathrm{~V}, k_{n}^{\prime} W / L=5 \mathrm{~mA} / \mathrm{V}^{2} \), and \( \lambda=0.025 \mathrm{~V}^{-1} \). \( V_{D D}=-V_{S S}=5 \mathrm{~V}, I_{D}=0.4 \mathrm{~mA} \). The capacitors are "very large". \( \mathrm{R}_{\mathrm{D}} \) should be selected such that the maximum signal swing at the drain is \( \pm 0.8 \mathrm{~V} \). The input resistance at the gate should be \( 10 \mathrm{M} \Omega \) (a) Find \( R_{5}= \) \( k \Omega, R_{D}= \) \( \mathrm{k} \), and \( R_{\mathrm{G}}= \) \( 4 \Omega \) (b) Find \( g_{m}= \) \( \mathrm{nA} / \mathrm{V} \), and \( r_{o}= \) \( \Omega \) (c) If terminal \( \mathrm{Z} \) is grounded, terminal \( \mathrm{X} \) is connected to a signal source having a resistance of \( 1 \mathrm{M} \Omega \), and terminal \( \mathrm{Y} \) is connected to a load resistance of \( 10 \mathrm{k} \Omega \), find the voltage gain from the signal source to load. \( A_{V}=\quad \mathrm{J} / \mathrm{V} \) (d) If terminal \( Y \) is grounded, find the voltage gain from \( X \) to \( Z \) with \( Z \) open-circuited. \( A_{v}= \) V/V What is the output resistance of the source follower? \( R_{\text {out }}= \) 2 (e) If terminal \( \mathrm{X} \) is grounded, and terminal \( \mathrm{Z} \) is connected to a voltage signal source having \( 5 \mathrm{mV} \) of amplitude and \( 100 \mathrm{k} \Omega \) output resistance. Find the magnitude of the signal measured at \( Y . V_{Y}= \) I. Neglect the channel length modulation effect for simplicity.