Transconductance given Process Transconductance Parameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transconductance = Process Transconductance Parameter*Aspect Ratio*(Gate-Source Voltage-Threshold Voltage)
gm = k'n*WL*(Vgs-Vth)
This formula uses 5 Variables
Variables Used
Transconductance - (Measured in Siemens) - Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.
Process Transconductance Parameter - (Measured in Ampere per Square Volt) - The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor.
Aspect Ratio - Aspect ratio is defined as the ratio of the width of the transistor's channel to its length. It is the ratio of the width of the gate to the distance btw the source & drain regions of the transistor.
Gate-Source Voltage - (Measured in Volt) - Gate-source voltage is a critical parameter that affects the operation of an FET, and it is often used to control the device's behavior.
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.
STEP 1: Convert Input(s) to Base Unit
Process Transconductance Parameter: 0.015 Ampere per Square Volt --> 0.015 Ampere per Square Volt No Conversion Required
Aspect Ratio: 0.1 --> No Conversion Required
Gate-Source Voltage: 4 Volt --> 4 Volt No Conversion Required
Threshold Voltage: 3.68 Volt --> 3.68 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
gm = k'n*WL*(Vgs-Vth) --> 0.015*0.1*(4-3.68)
Evaluating ... ...
gm = 0.00048
STEP 3: Convert Result to Output's Unit
0.00048 Siemens -->0.48 Millisiemens (Check conversion ​here)
FINAL ANSWER
0.48 Millisiemens <-- Transconductance
(Calculation completed in 00.004 seconds)

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Transconductance Calculators

Transconductance given Process Transconductance Parameter
​ LaTeX ​ Go Transconductance = Process Transconductance Parameter*Aspect Ratio*(Gate-Source Voltage-Threshold Voltage)
Transconductance given Drain Current
​ LaTeX ​ Go Transconductance = sqrt(2*Process Transconductance Parameter*Aspect Ratio*Drain Current)
Transconductance using Process Transconductance Parameter and Overdrive Voltage
​ LaTeX ​ Go Transconductance = Process Transconductance Parameter*Aspect Ratio*Overdrive Voltage
Drain Current using Transconductance
​ LaTeX ​ Go Drain Current = (Overdrive Voltage)*Transconductance/2

Transconductance given Process Transconductance Parameter Formula

​LaTeX ​Go
Transconductance = Process Transconductance Parameter*Aspect Ratio*(Gate-Source Voltage-Threshold Voltage)
gm = k'n*WL*(Vgs-Vth)

What is the use of transconductance in MOSFET?

Transconductance is an expression of the performance of a bipolar transistor or field-effect transistor (FET). In general, the larger the transconductance figure for a device, the greater the gain(amplification) it is capable of delivering, when all other factors are held constant.

How to Calculate Transconductance given Process Transconductance Parameter?

Transconductance given Process Transconductance Parameter calculator uses Transconductance = Process Transconductance Parameter*Aspect Ratio*(Gate-Source Voltage-Threshold Voltage) to calculate the Transconductance, The Transconductance given process transconductance parameter is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage. Transconductance is denoted by gm symbol.

How to calculate Transconductance given Process Transconductance Parameter using this online calculator? To use this online calculator for Transconductance given Process Transconductance Parameter, enter Process Transconductance Parameter (k'n), Aspect Ratio (WL), Gate-Source Voltage (Vgs) & Threshold Voltage (Vth) and hit the calculate button. Here is how the Transconductance given Process Transconductance Parameter calculation can be explained with given input values -> 480 = 0.015*0.1*(4-3.68).

FAQ

What is Transconductance given Process Transconductance Parameter?
The Transconductance given process transconductance parameter is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage and is represented as gm = k'n*WL*(Vgs-Vth) or Transconductance = Process Transconductance Parameter*Aspect Ratio*(Gate-Source Voltage-Threshold Voltage). The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor, Aspect ratio is defined as the ratio of the width of the transistor's channel to its length. It is the ratio of the width of the gate to the distance btw the source & drain regions of the transistor, Gate-source voltage is a critical parameter that affects the operation of an FET, and it is often used to control the device's behavior & 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.
How to calculate Transconductance given Process Transconductance Parameter?
The Transconductance given process transconductance parameter is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage is calculated using Transconductance = Process Transconductance Parameter*Aspect Ratio*(Gate-Source Voltage-Threshold Voltage). To calculate Transconductance given Process Transconductance Parameter, you need Process Transconductance Parameter (k'n), Aspect Ratio (WL), Gate-Source Voltage (Vgs) & Threshold Voltage (Vth). With our tool, you need to enter the respective value for Process Transconductance Parameter, Aspect Ratio, Gate-Source Voltage & Threshold 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 Transconductance?
In this formula, Transconductance uses Process Transconductance Parameter, Aspect Ratio, Gate-Source Voltage & Threshold Voltage. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Transconductance = sqrt(2*Process Transconductance Parameter*Aspect Ratio*Drain Current)
  • Transconductance = Process Transconductance Parameter*Aspect Ratio*Overdrive Voltage
  • Transconductance = Transconductance Parameter*(Gate-Source Voltage-Threshold Voltage)
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