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Operating Regions Of An Enhancement Mode NMOS Transistor

Figure 123.2 illustrates *an enhancement-mode NMOS*. The threshhold voltage, V_{T} = 2 V, The *source* terminal of the nmos is grounded and a voltage source V_{GG} = 3 V DC is connected to the *gate*.

Determine the operating state of the transistor for each of the following values of v_{D}:

(a) v_{D} = 0.5 V

(b) v_{D} = 1 V

(c) v_{D} = 5 V

**The strings**:
S_{7}P_{5}A_{51} (Physical Change).
**The math**:

Pj Problem of Interest is of type *change* (physical change). Transistors are primarily used for signal *amplification* and *switching*. Both are *change* problems.

(a)The NMOS has three terminals: *gate* (G), the *drain* (D), and the *source* (S).

It has a *p-material substrate* (or bulk) electrically connected to the *source*. So the *substrate* does not appear as a separate terminal in circuit diagram.

The *gate* consists of a metal film separated from the *p-substrate* by a thin oxide layer (hence called metal oxide semiconductor).

both *drain* and *source* are made of n^{+} material.

(a)v_{GS} = 3 V

v_{GD} = v_{GS} + v_{SD} = v_{GS} - v_{DS} = v_{GS} - v_{D} = 3 - 0.5 = 2.5 V.

Where v_{GS} = gate-source voltage

v_{GD} = gate-drain voltage

v_{DS} = drain-source voltage

v_{SD} = source-drain voltage

So, v_{GS} > V_{T} and v_{GD} > V_{T}

So, NMOS is operating in the *Triode or Ohmic Region*.

(b) v_{GS} = 3 V

v_{GD} = v_{GS} + v_{SD} = v_{GS} - v_{DS} = v_{GS} - v_{D} = 3 - 1 = 2 V.

So, v_{GS} > V_{T} and v_{GD} = V_{T}

So, NMOS is operating in the *Triode or Ohmic Region*; or *Saturation Region*.

(c) v_{GS} = 3 V

v_{GD} = v_{GS} + v_{SD} = v_{GS} - v_{DS} = v_{GS} - v_{D} = 3 - 5 = -2 V.

So, v_{GS} > V_{T} and v_{GD} < V_{T}

So, NMOS is operating in the *Saturation Region*.

Math

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

Derivation Of The Area Of A Circle, A Sector Of A Circle And A Circular Ring

Derivation Of The Area Of A Trapezoid, A Rectangle And A Triangle

Derivation Of The Area Of An Ellipse

Derivation Of Volume Of A Cylinder

Derivation Of Volume Of A Sphere

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Derivation Of Volume Of A Torus

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Volume Obtained By Revolving The Curve y = x^{2} About The X Axis

Single Variable Functions

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Introduction To Group Theory

Advanced Calculus - Partial Derivatives

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Production Schedule That Maximizes Profit Given Constraint Equation

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Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions

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Derivation Of Heat Equation For A One-Dimensional Heat Flow

Homogenizing-Non-Homogeneous-Time-Varying-IBVP-Boundary-Condition

The Universe is composed of *matter* and *radiant energy*. *Matter* is any kind of *mass-energy* that moves with velocities less than the velocity of light. *Radiant energy* is any kind of *mass-energy* that moves with the velocity of light.

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