Saturation Region
The voltmeter voltage is controlled by the independent voltage source.
If the voltage source is 5V. More precisely Vgs >= Vth and Vds >= Vgs - Vth.
Vth = VTO = 3V
K = 1 mAV^-2
Id = K/2 * (Vg - Vth)^2
= 1/2 * (5V - 3V)^2
= 0.5 * 2^2
= 2mA
Vds = Vd - (Id * Rd)
= 10 - (2kohm * 2mA)
= 6V (>2V)
That's it, 10V input (independent voltage source) = 6V output (voltmeter) with Id = 2mA.
Notice:
1. Width = 90 nm
2. Length = 198 nm
3. KP = 1 mA/V^2
4. VTO = 3V
5. Lambda = 200 m1/V