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MOSFET Transconductance given Transconductance Parameter 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 = k n \cdot (V gs - V th)

g_m - Transconductance?k_n - Transconductance Parameter?V_gs - Gate-Source Voltage?V_th - Threshold Voltage?

MOSFET Transconductance given Transconductance Parameter Example

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

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

Here is how the MOSFET Transconductance given Transconductance Parameter equation looks like.

3360 = 10.5 \cdot (4 - 3.68)

3360mS = 10.5A/V² \cdot (4V - 3.68V)

3360 = 10.5 \cdot (4 - 3.68)

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MOSFET Transconductance given Transconductance Parameter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

g m = 10.5A/V² \cdot (4V - 3.68V)

Next Step Prepare to Evaluate

∴

g m = 10.5 \cdot (4 - 3.68)

Next Step Evaluate

∴

g m = 3.36S

LAST Step Convert to Output's Unit

∴

g m = 3360mS

MOSFET Transconductance given Transconductance Parameter 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

Transconductance Parameter

Transconductance parameter is a crucial parameter in electronic devices and circuits, which helps to describe and quantify the input-output relationship between voltage and current.

Symbol: k_n

Measurement: Transconductance ParameterUnit: A/V²

Note: Value can be positive or negative.

Formulas to find Transconductance Parameter

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

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: V_th

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Threshold 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 Overdrive Voltage

g m = k n \cdot V ov

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 given Transconductance Parameter?

MOSFET Transconductance given Transconductance Parameter evaluator uses Transconductance = Transconductance Parameter*(Gate-Source Voltage-Threshold Voltage) to evaluate the Transconductance, The MOSFET transconductance given 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 g_m symbol.

How to evaluate MOSFET Transconductance given Transconductance Parameter using this online evaluator? To use this online evaluator for MOSFET Transconductance given Transconductance Parameter, enter Transconductance Parameter (k_n), Gate-Source Voltage (V_gs) & Threshold Voltage (V_th) and hit the calculate button.

FAQs on MOSFET Transconductance given Transconductance Parameter

What is the formula to find MOSFET Transconductance given Transconductance Parameter?

The formula of MOSFET Transconductance given Transconductance Parameter is expressed as Transconductance = Transconductance Parameter*(Gate-Source Voltage-Threshold Voltage). Here is an example- 3.4E+6 = 10.5*(4-3.68).

How to calculate MOSFET Transconductance given Transconductance Parameter?

With Transconductance Parameter (k_n), Gate-Source Voltage (V_gs) & Threshold Voltage (V_th) we can find MOSFET Transconductance given Transconductance Parameter using the formula - Transconductance = Transconductance Parameter*(Gate-Source Voltage-Threshold 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 given Transconductance Parameter be negative?

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

Which unit is used to measure MOSFET Transconductance given Transconductance Parameter?

MOSFET Transconductance given Transconductance Parameter 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 given Transconductance Parameter can be measured.

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