NMOS as Linear Resistance Formula

Fx Copy
LaTeX Copy
Linear resistance acts as a variable resistor in the linear region and as a current source in the saturation region. Check FAQs
rDS=LμnCoxWc(Vgs-VT)
rDS - Linear Resistance?L - Length of the Channel?μn - Mobility of Electrons at Surface of Channel?Cox - Oxide Capacitance?Wc - Width of Channel?Vgs - Gate Source Voltage?VT - Threshold Voltage?

NMOS as Linear Resistance Example

With values
With units
Only example

Here is how the NMOS as Linear Resistance equation looks like with Values.

Here is how the NMOS as Linear Resistance equation looks like with Units.

Here is how the NMOS as Linear Resistance equation looks like.

7.9607Edit=3Edit2.2Edit2.02Edit10Edit(10.3Edit-1.82Edit)
You are here -
HomeIcon Home » Category Engineering » Category Electronics » Category Analog Electronics » fx NMOS as Linear Resistance

NMOS as Linear Resistance Solution

Follow our step by step solution on how to calculate NMOS as Linear Resistance?

FIRST Step Consider the formula
rDS=LμnCoxWc(Vgs-VT)
Next Step Substitute values of Variables
rDS=3μm2.2m²/V*s2.02μF10μm(10.3V-1.82V)
Next Step Convert Units
rDS=3E-6m2.2m²/V*s2E-6F1E-5m(10.3V-1.82V)
Next Step Prepare to Evaluate
rDS=3E-62.22E-61E-5(10.3-1.82)
Next Step Evaluate
rDS=7960.70173055041Ω
Next Step Convert to Output's Unit
rDS=7.96070173055041
LAST Step Rounding Answer
rDS=7.9607

NMOS as Linear Resistance Formula Elements

Variables
Linear Resistance
Linear resistance acts as a variable resistor in the linear region and as a current source in the saturation region.
Symbol: rDS
Measurement: Electric ResistanceUnit:
Note: Value can be positive or negative.
Length of the Channel
Length of the channel can be defined as the distance between its start and end points, and can vary greatly depending on its purpose and location.
Symbol: L
Measurement: LengthUnit: μm
Note: Value can be positive or negative.
Mobility of Electrons at Surface of Channel
The mobility of electrons at surface of channel refers to the ability of electrons to move or conduct within a material's surface layer when subjected to an electric field.
Symbol: μn
Measurement: MobilityUnit: m²/V*s
Note: Value can be positive or negative.
Oxide Capacitance
Oxide capacitance is an important parameter that affects the performance of MOS devices, such as the speed and power consumption of integrated circuits.
Symbol: Cox
Measurement: CapacitanceUnit: μF
Note: Value can be positive or negative.
Width of Channel
The width of channel refers to the amount of bandwidth available for transmitting data within a communication channel.
Symbol: Wc
Measurement: LengthUnit: μm
Note: Value can be positive or negative.
Gate Source Voltage
The Gate Source Voltage is the voltage that falls across the gate-source terminal of the transistor.
Symbol: Vgs
Measurement: Electric PotentialUnit: V
Note: Value can be positive or negative.
Threshold Voltage
Threshold voltage, also known as the gate threshold voltage or simply Vth, is a critical parameter in the operation of field-effect transistors, which are fundamental components in modern electronics.
Symbol: VT
Measurement: Electric PotentialUnit: V
Note: Value should be greater than 0.

Other formulas in N Channel Enhancement category

​Go Electron Drift Velocity of Channel in NMOS Transistor
vd=μnEL
​Go Current Entering Drain Terminal of NMOS given Gate Source Voltage
Id=k'nWcL((Vgs-VT)Vds-12Vds2)

How to Evaluate NMOS as Linear Resistance?

NMOS as Linear Resistance evaluator uses Linear Resistance = Length of the Channel/(Mobility of Electrons at Surface of Channel*Oxide Capacitance*Width of Channel*(Gate Source Voltage-Threshold Voltage)) to evaluate the Linear Resistance, The NMOS as linear resistance acts as a variable resistor in the linear region and as a current source in the saturation region. Unlike a BJT, to use a MOSFET as a switch, you need to operate within the linear region. Linear Resistance is denoted by rDS symbol.

How to evaluate NMOS as Linear Resistance using this online evaluator? To use this online evaluator for NMOS as Linear Resistance, enter Length of the Channel (L), Mobility of Electrons at Surface of Channel n), Oxide Capacitance (Cox), Width of Channel (Wc), Gate Source Voltage (Vgs) & Threshold Voltage (VT) and hit the calculate button.

FAQs on NMOS as Linear Resistance

What is the formula to find NMOS as Linear Resistance?
The formula of NMOS as Linear Resistance is expressed as Linear Resistance = Length of the Channel/(Mobility of Electrons at Surface of Channel*Oxide Capacitance*Width of Channel*(Gate Source Voltage-Threshold Voltage)). Here is an example- 0.007961 = 3E-06/(2.2*2.02E-06*1E-05*(10.3-1.82)).
How to calculate NMOS as Linear Resistance?
With Length of the Channel (L), Mobility of Electrons at Surface of Channel n), Oxide Capacitance (Cox), Width of Channel (Wc), Gate Source Voltage (Vgs) & Threshold Voltage (VT) we can find NMOS as Linear Resistance using the formula - Linear Resistance = Length of the Channel/(Mobility of Electrons at Surface of Channel*Oxide Capacitance*Width of Channel*(Gate Source Voltage-Threshold Voltage)).
Can the NMOS as Linear Resistance be negative?
Yes, the NMOS as Linear Resistance, measured in Electric Resistance can be negative.
Which unit is used to measure NMOS as Linear Resistance?
NMOS as Linear Resistance is usually measured using the Kilohm[kΩ] for Electric Resistance. Ohm[kΩ], Megohm[kΩ], Microhm[kΩ] are the few other units in which NMOS as Linear Resistance can be measured.
Copied!