MOSFET Transconductance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transconductance = Change in Drain Current/Gate-Source Voltage
gm = ΔId/Vgs
This formula uses 3 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.
Change in Drain Current - (Measured in Ampere) - Change in drain current indicates the change in current conduction capability of the silicon chip; it can be used as a guide when comparing different devices.
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.
STEP 1: Convert Input(s) to Base Unit
Change in Drain Current: 2 Milliampere --> 0.002 Ampere (Check conversion ​here)
Gate-Source Voltage: 4 Volt --> 4 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
gm = ΔId/Vgs --> 0.002/4
Evaluating ... ...
gm = 0.0005
STEP 3: Convert Result to Output's Unit
0.0005 Siemens -->0.5 Millisiemens (Check conversion ​here)
FINAL ANSWER
0.5 Millisiemens <-- Transconductance
(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Jaipur Engineering College and Research Centre (JECRC), Jaipur
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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

MOSFET Transconductance Formula

​LaTeX ​Go
Transconductance = Change in Drain Current/Gate-Source Voltage
gm = ΔId/Vgs

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 MOSFET Transconductance?

MOSFET Transconductance calculator uses Transconductance = Change in Drain Current/Gate-Source Voltage to calculate the Transconductance, The MOSFET Transconductance 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 MOSFET Transconductance using this online calculator? To use this online calculator for MOSFET Transconductance, enter Change in Drain Current (ΔId) & Gate-Source Voltage (Vgs) and hit the calculate button. Here is how the MOSFET Transconductance calculation can be explained with given input values -> 500 = 0.002/4.

FAQ

What is MOSFET Transconductance?
The MOSFET Transconductance 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 = ΔId/Vgs or Transconductance = Change in Drain Current/Gate-Source Voltage. Change in drain current indicates the change in current conduction capability of the silicon chip; it can be used as a guide when comparing different devices & 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.
How to calculate MOSFET Transconductance?
The MOSFET Transconductance 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 = Change in Drain Current/Gate-Source Voltage. To calculate MOSFET Transconductance, you need Change in Drain Current (ΔId) & Gate-Source Voltage (Vgs). With our tool, you need to enter the respective value for Change in Drain Current & Gate-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 Transconductance?
In this formula, Transconductance uses Change in Drain Current & Gate-Source 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*(Gate-Source Voltage-Threshold Voltage)
  • Transconductance = Process Transconductance Parameter*Aspect Ratio*Overdrive Voltage
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