Question $8$: MOS, solve

Assume our usual nMOS model where:

Ohmic region

$I_D=k{V}_{DS}(V_{GS}-V_{TH})$ when

$I_D=k(V_{GS}-V_{TH}{)}^2$ when

$V_{DS}{V}_{GS}-V_{TH}{V}_{TH}=1V,V_{DD}=3V{R}_D=33\mathrm{.}3I_D-V_{DS}k{V}_{GS}{V}_{DS}=0\mathrm{.}75Vk=\frac{A}{V^2}{V}_{GS}=10,10,10,10,10V_{DS}$

Active region

$I_D=k(V_{GS}-V_{TH}{)}^2$ when

$V_{DS}{V}_{GS}-V_{TH}$

Consider the following circuit and the family $ofIV$ characteristic curves.

You are given that $V_{TH}=1V,V_{DD}=3V,$ and $R_D=33\mathrm{.}3.$

Use the $I_D-V_{DS}$ characteristics $to$ find the transitor parameter $k$ and the value $of{V}_{GS}$ that produces $V_{DS}=0\mathrm{.}75V.$

$k=$

$\frac{A}{V^2}$

$V_{GS}=$

number $(2$ significant figures$)$

$$

$V$

$10$ points available for this attempt

$(following$ attempts are worth: $10,10,10,10,10)$