Operation mode of NMOS transistor, can someone check my work

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SUMMARY

The discussion focuses on determining the operating modes of three NMOS transistors based on their gate-source (Vgs) and gate-drain (Vgd) voltages. NMOS1 operates in the saturation region with Vgs of 1.9V and Vgd of -0.6V, while NMOS2 is in the triode region with Vgs of 4.5V and Vgd of 1.7V. NMOS3 presents a boundary case where Vgd equals the threshold voltage (Vtn) of 0.4V, indicating a transition point that requires further analysis to confirm its operating region.

PREREQUISITES
  • Understanding of NMOS transistor operation and characteristics
  • Familiarity with voltage definitions: Vgs, Vgd, and Vtn
  • Knowledge of transistor operating regions: saturation and triode
  • Basic circuit analysis skills for evaluating voltage relationships
NEXT STEPS
  • Study the equations defining NMOS operating regions in detail
  • Learn about the impact of threshold voltage (Vtn) on NMOS performance
  • Explore the differences between saturation and triode regions in practical applications
  • Investigate how to analyze boundary conditions in transistor operation
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Electrical engineering students, circuit designers, and anyone studying semiconductor devices and their operational characteristics.

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Homework Statement


Vtn = 0.4V

NMOS1
Drain = 2.5V
Gate = 1.9V
Source = 0V

NMOS2
Drain = 0.5V
Gate = 2.2V
Source = -2.3V

NMOS3
Drain = 0.5V
Gate = 0.9V
Source = -2.5V

Homework Equations

The Attempt at a Solution


NMOS1
Vgs = Vg - Vs = 1.9V
Vgd = Vg - Vd = -0.6V
Vgd < Vtn and Vgs > Vtn
Saturation Region

NMOS2
Vgs = Vg - Vs = 2.2 - (-2.3) = 4.5V
Vgd = 2.2 - 0.5 = 1.7V
Vgd > Vtn and Vgs > Vtn
Triode/Linear/Ohmic region

NMOS3
Vgs = 0.9 - (-2.5) = 3.4V
Vgd = 0.9-0.5 = 0.4V
What region is the NMOS operating in if Vgd is equal to Vtn?
 
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Hint: you're on the hairy edge, so to resolve the issue use the equations defining which operating region you're under.
 

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