Triode 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 - (4.5kohm * 2mA)
= 1V (<2V) (rejected)
Id = K/2 * Vds [2 (Vgs - Vth) - Vds]
= 0.5 * Vds (4 - Vds)
= 0.5 (10 - 4.5 * Id) (4 - 10 + 4.5 * Id)
10.125 * Id^2 -35 * Id + 30 = 0
Id = 1.8845mA, 1.5742mA
when Id = 1.8845mA,
Vds = Vd - (Id * Rd)
= 10 - 1.8845mA * 4.5kohm
= 1.54V
when Id = 1.5742mA,
Vds = Vd - (Id * Rd)
= 10 - 1.5742mA * 4.5kohm
= 2.95V (rejected)
That's it, 10V input (independent voltage source) = 3.25V output (voltmeter) with Id = 1.8845mA.
Notice:
1. Width = 90 nm
2. Length = 119 nm
3. KP = 1 mA/V^2
4. VTO = 3V
5. Lambda = 200 m1/V
