(Solved):   Please help me with solving this question by showing full steps. CS FET amp. Drain-to-gate ...

 

Please help me with solving this question by showing full steps.

CS FET amp. Drain-to-gate feedback biasing arrangement. Find small-signal voltage gain Av, input \( \mathrm{R} \), and the largest allowable \( \mathrm{i} / \mathrm{p} \) signal. Given: \( \mathrm{V}_{\mathrm{t}}=1.5 \mathrm{~V}, \mathrm{~K}_{\mathrm{n}}{ }^{\prime}(\mathrm{W} / \mathrm{L})=0.25 \mathrm{~mA} / \mathrm{V}^{2} \), and \( \mathrm{V}_{\mathrm{A}}=50 \mathrm{~V} \) Ans. \( \mathrm{I}_{\mathrm{D}}=1.06 \mathrm{~mA}, \mathrm{~V}_{\mathrm{D}}=4.4 \mathrm{~V}, \mathrm{~g}_{\mathrm{m}}=0.725 \mathrm{~mA} / \mathrm{V}, \mathrm{r}_{\mathrm{o}}=47 \mathrm{k} \Omega, \mathrm{Av}=-3.3 \mathrm{~V} / \mathrm{V}, \mathrm{R}_{\text {in }}=2.33 \) \( \mathrm{M} \Omega \), saturation limit: \( \mathrm{v}_{\mathrm{DS} \min }=\mathrm{v}_{\mathrm{GS} \max }-\mathrm{V}_{\mathrm{t}} \rightarrow \mathrm{V}_{\mathrm{DS}}-\left|\mathrm{A}_{\mathrm{v}}\right| \mathrm{v}_{\mathrm{imax}}=\mathrm{V}_{\mathrm{GS}}+\mathrm{v}_{\mathrm{imax}}{ }^{-} \) \( \mathrm{V}_{\mathrm{t}} \rightarrow \mathrm{v}_{\mathrm{imax}}=0.34 \mathrm{~V} \) (a) (b) Figure 4.38 Example 4.10: (a) amplifier circuit; (b) equivalent-circuit model. Microelectronic Circuits - Fifth Edition Sedra/Smith \( \quad \) Copyright \( @ 2004 \) by Oxford University Press, Inc.