(Solved): (35 pts) Consider an NMOS transistor operating in the triode region with \( \mathrm{V}_{\mathrm{GS} ...

(35 pts) Consider an NMOS transistor operating in the triode region with \( \mathrm{V}_{\mathrm{GS}}=3 \mathrm{~V} \), \( \mathrm{V}_{\mathrm{tn}}=0.7 \mathrm{~V} \), and \( k_{n}=2.5 \frac{\mathrm{mA}}{\mathrm{V}^{2}} \) a) Find an expression for the incremental resistance. \[ r_{d s} \equiv 1 /\left.\frac{\partial i_{D}}{\partial v_{D S}}\right|_{v_{D S}=V_{D S}} \] b) Give the values of \( r_{d s} \) for \( V_{D S}=0,0.46 \), \( 1.15,1.84 \mathrm{~V} \), and \( 2.3 \mathrm{~V} \).