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MOSFET Transconductance Formula

GoTransconductance given Drain Current Formula

GoTransconductance given Process Transconductance Parameter Formula

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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. Check FAQs

g m = \frac{ΔI d}{V gs}

g_m - Transconductance?ΔI_d - Change in Drain Current?V_gs - Gate-Source Voltage?

MOSFET Transconductance Example

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With units

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Here is how the MOSFET Transconductance equation looks like with Values.

Here is how the MOSFET Transconductance equation looks like with Units.

Here is how the MOSFET Transconductance equation looks like.

0.5 = \frac{2}{4}

0.5mS = \frac{2mA}{4V}

0.5 = \frac{2}{4}

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MOSFET Transconductance Solution

Follow our step by step solution on how to calculate MOSFET Transconductance?

FIRST Step Consider the formula

g m = \frac{ΔI d}{V gs}

Next Step Substitute values of Variables

∴

g m = \frac{2mA}{4V}

Next Step Convert Units

∴

g m = \frac{0.002A}{4V}

Next Step Prepare to Evaluate

∴

g m = \frac{0.002}{4}

Next Step Evaluate

∴

g m = 0.0005S

LAST Step Convert to Output's Unit

∴

g m = 0.5mS

MOSFET Transconductance Formula Elements

Variables

Transconductance

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.

Symbol: g_m

Measurement: Electric ConductanceUnit: mS

Note: Value can be positive or negative.

Formulas to find Transconductance

Change in Drain Current

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.

Symbol: ΔI_d

Measurement: Electric CurrentUnit: mA

Note: Value can be positive or negative.

Formulas to find Change in Drain Current

Gate-Source Voltage

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.

Symbol: V_gs

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Gate-Source Voltage

Other Formulas to find Transconductance

Go Transconductance given Drain Current

g m = \sqrt{2 \cdot k' n \cdot WL \cdot i d}

Go Transconductance given Process Transconductance Parameter

g m = k' n \cdot WL \cdot (V gs - V th)

Go Transconductance using Process Transconductance Parameter and Overdrive Voltage

g m = k' n \cdot WL \cdot V ov

Go MOSFET Transconductance given Transconductance Parameter

g m = k n \cdot (V gs - V th)

Other formulas in Transconductance category

Go Drain Current using Transconductance

i d = (V ov) \cdot \frac{g m}{2}

Go Process Transconductance given Transconductance and Drain Current

k' n = \frac{{g m}^{2}}{2 \cdot WL \cdot i d}

Go MOSFET Transconductance using Process Transconductance Parameter

k' n = \frac{g m}{WL \cdot (V gs - V th)}

Go MOSFET Transconductance using Process Transconductance Parameter and Overdrive Voltage

k' n = \frac{g m}{WL \cdot V ov}

How to Evaluate MOSFET Transconductance?

MOSFET Transconductance evaluator uses Transconductance = Change in Drain Current/Gate-Source Voltage to evaluate 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 g_m symbol.

How to evaluate MOSFET Transconductance using this online evaluator? To use this online evaluator for MOSFET Transconductance, enter Change in Drain Current (ΔI_d) & Gate-Source Voltage (V_gs) and hit the calculate button.

FAQs on MOSFET Transconductance

What is the formula to find MOSFET Transconductance?

The formula of MOSFET Transconductance is expressed as Transconductance = Change in Drain Current/Gate-Source Voltage. Here is an example- 500 = 0.002/4.

How to calculate MOSFET Transconductance?

With Change in Drain Current (ΔI_d) & Gate-Source Voltage (V_gs) we can find MOSFET Transconductance using the formula - Transconductance = Change in Drain Current/Gate-Source Voltage.

What are the other ways to Calculate Transconductance?

Here are the different ways to Calculate Transconductance-

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

Can the MOSFET Transconductance be negative?

Yes, the MOSFET Transconductance, measured in Electric Conductance can be negative.

Which unit is used to measure MOSFET Transconductance?

MOSFET Transconductance is usually measured using the Millisiemens[mS] for Electric Conductance. Siemens[mS], Megasiemens[mS], Mho[mS] are the few other units in which MOSFET Transconductance can be measured.

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