Current Entering Drain-Source in Triode Region of NMOS Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drain Current in NMOS = Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*((Gate Source Voltage-Threshold Voltage)*Drain Source Voltage-1/2*(Drain Source Voltage)^2)
Id = k'n*Wc/L*((Vgs-VT)*Vds-1/2*(Vds)^2)
This formula uses 7 Variables
Variables Used
Drain Current in NMOS - (Measured in Ampere) - Drain current in NMOS is the electric current flowing from the drain to the source of a field-effect transistor (FET) or a metal-oxide-semiconductor field-effect transistor (MOSFET).
Process Transconductance Parameter in NMOS - (Measured in Siemens) - The Process Transconductance Parameter in NMOS (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor.
Width of Channel - (Measured in Meter) - The width of channel refers to the amount of bandwidth available for transmitting data within a communication channel.
Length of the Channel - (Measured in Meter) - 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.
Gate Source Voltage - (Measured in Volt) - The Gate Source Voltage is the voltage that falls across the gate-source terminal of the transistor.
Threshold Voltage - (Measured in Volt) - 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.
Drain Source Voltage - (Measured in Volt) - Drain Source Voltage is an electrical term used in electronics and specifically in field-effect transistors . It refers to the voltage difference between the Drain and Source terminals of the FET.
STEP 1: Convert Input(s) to Base Unit
Process Transconductance Parameter in NMOS: 2 Millisiemens --> 0.002 Siemens (Check conversion here)
Width of Channel: 10 Micrometer --> 1E-05 Meter (Check conversion here)
Length of the Channel: 3 Micrometer --> 3E-06 Meter (Check conversion here)
Gate Source Voltage: 10.3 Volt --> 10.3 Volt No Conversion Required
Threshold Voltage: 1.82 Volt --> 1.82 Volt No Conversion Required
Drain Source Voltage: 8.43 Volt --> 8.43 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Id = k'n*Wc/L*((Vgs-VT)*Vds-1/2*(Vds)^2) --> 0.002*1E-05/3E-06*((10.3-1.82)*8.43-1/2*(8.43)^2)
Evaluating ... ...
Id = 0.239693
STEP 3: Convert Result to Output's Unit
0.239693 Ampere -->239.693 Milliampere (Check conversion here)
FINAL ANSWER
239.693 Milliampere <-- Drain Current in NMOS
(Calculation completed in 00.004 seconds)

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17 N-Channel Enhancement Calculators

Current Entering Drain-Source in Triode Region of NMOS
Go Drain Current in NMOS = Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*((Gate Source Voltage-Threshold Voltage)*Drain Source Voltage-1/2*(Drain Source Voltage)^2)
Current Entering Drain Terminal of NMOS given Gate Source Voltage
Go Drain Current in NMOS = Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*((Gate Source Voltage-Threshold Voltage)*Drain Source Voltage-1/2*Drain Source Voltage^2)
Body Effect in NMOS
Go Change in Threshold Voltage = Threshold Voltage+Fabrication Process Parameter*(sqrt(2*Physical Parameter+Voltage between Body and Source)-sqrt(2*Physical Parameter))
Current Entering Drain Terminal of NMOS
Go Drain Current in NMOS = Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*Drain Source Voltage*(Overdrive Voltage in NMOS-1/2*Drain Source Voltage)
NMOS as Linear Resistance
Go Linear Resistance = Length of the Channel/(Mobility of Electrons at Surface of Channel*Oxide Capacitance*Width of Channel*(Gate Source Voltage-Threshold Voltage))
Drain Current when NMOS Operates as Voltage-Controlled Current Source
Go Drain Current in NMOS = 1/2*Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*(Gate Source Voltage-Threshold Voltage)^2
Current Entering Drain-Source at Saturation Region of NMOS
Go Drain Current in NMOS = 1/2*Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*(Gate Source Voltage-Threshold Voltage)^2
Fabrication Process Parameter of NMOS
Go Fabrication Process Parameter = sqrt(2*[Charge-e]*Doping Concentration of P Substrate*[Permitivity-vacuum])/Oxide Capacitance
Current Entering Drain-Source at Saturation Region of NMOS given Effective Voltage
Go Saturation Drain Current = 1/2*Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*(Overdrive Voltage in NMOS)^2
Current Entering Drain Source at Boundary of Saturation and Triode Region of NMOS
Go Drain Current in NMOS = 1/2*Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*(Drain Source Voltage)^2
Electron Drift Velocity of Channel in NMOS Transistor
Go Electron Drift Velocity = Mobility of Electrons at Surface of Channel*Electric Field across Length of Channel
Total Power Supplied in NMOS
Go Power Supplied = Supply Voltage*(Drain Current in NMOS+Current)
Drain Current given NMOS Operates as Voltage-Controlled Current Source
Go Transconductance Parameter = Process Transconductance Parameter in PMOS*Aspect Ratio
Output Resistance of Current Source NMOS given Drain Current
Go Output Resistance = Device Parameter/Drain Current without Channel Length Modulation
Total Power Dissipated in NMOS
Go Power Dissipated = Drain Current in NMOS^2*ON Channel Resistance
Positive Voltage given Channel Length in NMOS
Go Voltage = Device Parameter*Length of the Channel
Oxide Capacitance of NMOS
Go Oxide Capacitance = (3.45*10^(-11))/Oxide Thickness

Current Entering Drain-Source in Triode Region of NMOS Formula

Drain Current in NMOS = Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*((Gate Source Voltage-Threshold Voltage)*Drain Source Voltage-1/2*(Drain Source Voltage)^2)
Id = k'n*Wc/L*((Vgs-VT)*Vds-1/2*(Vds)^2)

What is a triode region in MOSFET? Is it different from linear region?

A MOSFET is said to operate in 3 regions, cutoff, triode and saturation,based on the condition of the inversion layer existing between the source and drain.

The triode region is the operating region where the inversion region exists and current flows, but this region has begun to taper near the source. The potential requirement here is Vds < Vgs -Vth.

Here, the drain source current has a parabolic relation ship with the drain source potential. The MOSFET operates as a switch in this region.

The linear region of a MOSFET can be considered as a special portion of the triode region, where because of the very small value of the applied drain-source potential, there is a roughly linear relationship between Vds and Ids and the MOSFET behaves like a voltage-dependent resistor.

The potential condition for linear or "deep triode" region is Vds << Vgs-Vth.

How to Calculate Current Entering Drain-Source in Triode Region of NMOS?

Current Entering Drain-Source in Triode Region of NMOS calculator uses Drain Current in NMOS = Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*((Gate Source Voltage-Threshold Voltage)*Drain Source Voltage-1/2*(Drain Source Voltage)^2) to calculate the Drain Current in NMOS, The Current entering drain-source in triode region of NMOS when Vgs is given can be found by multiplying the charge per unit channel length by the electron drift velocity. Drain Current in NMOS is denoted by Id symbol.

How to calculate Current Entering Drain-Source in Triode Region of NMOS using this online calculator? To use this online calculator for Current Entering Drain-Source in Triode Region of NMOS, enter Process Transconductance Parameter in NMOS (k'n), Width of Channel (Wc), Length of the Channel (L), Gate Source Voltage (Vgs), Threshold Voltage (VT) & Drain Source Voltage (Vds) and hit the calculate button. Here is how the Current Entering Drain-Source in Triode Region of NMOS calculation can be explained with given input values -> 239693 = 0.002*1E-05/3E-06*((10.3-1.82)*8.43-1/2*(8.43)^2).

FAQ

What is Current Entering Drain-Source in Triode Region of NMOS?
The Current entering drain-source in triode region of NMOS when Vgs is given can be found by multiplying the charge per unit channel length by the electron drift velocity and is represented as Id = k'n*Wc/L*((Vgs-VT)*Vds-1/2*(Vds)^2) or Drain Current in NMOS = Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*((Gate Source Voltage-Threshold Voltage)*Drain Source Voltage-1/2*(Drain Source Voltage)^2). The Process Transconductance Parameter in NMOS (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor, The width of channel refers to the amount of bandwidth available for transmitting data within a communication 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, The Gate Source Voltage is the voltage that falls across the gate-source terminal of the transistor, 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 & Drain Source Voltage is an electrical term used in electronics and specifically in field-effect transistors . It refers to the voltage difference between the Drain and Source terminals of the FET.
How to calculate Current Entering Drain-Source in Triode Region of NMOS?
The Current entering drain-source in triode region of NMOS when Vgs is given can be found by multiplying the charge per unit channel length by the electron drift velocity is calculated using Drain Current in NMOS = Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*((Gate Source Voltage-Threshold Voltage)*Drain Source Voltage-1/2*(Drain Source Voltage)^2). To calculate Current Entering Drain-Source in Triode Region of NMOS, you need Process Transconductance Parameter in NMOS (k'n), Width of Channel (Wc), Length of the Channel (L), Gate Source Voltage (Vgs), Threshold Voltage (VT) & Drain Source Voltage (Vds). With our tool, you need to enter the respective value for Process Transconductance Parameter in NMOS, Width of Channel, Length of the Channel, Gate Source Voltage, Threshold Voltage & Drain Source Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Drain Current in NMOS?
In this formula, Drain Current in NMOS uses Process Transconductance Parameter in NMOS, Width of Channel, Length of the Channel, Gate Source Voltage, Threshold Voltage & Drain Source Voltage. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Drain Current in NMOS = Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*((Gate Source Voltage-Threshold Voltage)*Drain Source Voltage-1/2*Drain Source Voltage^2)
  • Drain Current in NMOS = 1/2*Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*(Gate Source Voltage-Threshold Voltage)^2
  • Drain Current in NMOS = 1/2*Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*(Drain Source Voltage)^2
  • Drain Current in NMOS = 1/2*Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*(Gate Source Voltage-Threshold Voltage)^2
  • Drain Current in NMOS = Process Transconductance Parameter in NMOS*Width of Channel/Length of the Channel*Drain Source Voltage*(Overdrive Voltage in NMOS-1/2*Drain Source Voltage)
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