One curve of an n-channel MOSFET is characterized by the following parameters:
$I_{D}(\mathrm{sat})=2 \times 10^{-4} \mathrm{~A}, V_{D S}(\mathrm{sat})=4 \mathrm{~V}$, and $V_{T}=0.8 \mathrm{~V}$
(a) What is the gate voltage?
(b) What is the value of the conduction parameter?
(c) If $V_{G}=2 \mathrm{~V}$ and $V_{D S}=2 \mathrm{~V}$, determine $I_{D}$.
(d) If $V_{G}=3 \mathrm{~V}$ and $V_{D S}=1 \mathrm{~V}$, determine $I_{D}$.
(e) For each of the conditions given in $(c)$ and $(d)$, sketch the inversion charge density and depletion region through the channel.