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Transconductance given Process Transconductance Parameter Formula

GoTransconductance given Drain Current Formula

GoTransconductance using Process Transconductance Parameter and Overdrive Voltage 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 WL \cdot (V gs - V th)

g_m - Transconductance?k'_n - Process Transconductance Parameter?WL - Aspect Ratio?V_gs - Gate-Source Voltage?V_th - Threshold Voltage?

Transconductance given Process Transconductance Parameter Example

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

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

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

0.48 = 0.015 \cdot 0.1 \cdot (4 - 3.68)

0.48mS = 0.015A/V² \cdot 0.1 \cdot (4V - 3.68V)

0.48 = 0.015 \cdot 0.1 \cdot (4 - 3.68)

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Transconductance given Process Transconductance Parameter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

g m = 0.015A/V² \cdot 0.1 \cdot (4V - 3.68V)

Next Step Prepare to Evaluate

∴

g m = 0.015 \cdot 0.1 \cdot (4 - 3.68)

Next Step Evaluate

∴

g m = 0.00048S

LAST Step Convert to Output's Unit

∴

g m = 0.48mS

Transconductance given Process 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

Process Transconductance Parameter

The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor.

Symbol: k'_n

Measurement: Transconductance ParameterUnit: A/V²

Note: Value can be positive or negative.

Formulas to find Process Transconductance Parameter

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.

Symbol: WL

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Aspect Ratio

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 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)

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 Transconductance given Process Transconductance Parameter?

Transconductance given Process Transconductance Parameter evaluator uses Transconductance = Process Transconductance Parameter*Aspect Ratio*(Gate-Source Voltage-Threshold Voltage) to evaluate 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 g_m symbol.

How to evaluate Transconductance given Process Transconductance Parameter using this online evaluator? To use this online evaluator for Transconductance given Process Transconductance Parameter, enter Process Transconductance Parameter (k'_n), Aspect Ratio (WL), Gate-Source Voltage (V_gs) & Threshold Voltage (V_th) and hit the calculate button.

FAQs on Transconductance given Process Transconductance Parameter

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

The formula of Transconductance given Process Transconductance Parameter is expressed as Transconductance = Process Transconductance Parameter*Aspect Ratio*(Gate-Source Voltage-Threshold Voltage). Here is an example- 480 = 0.015*0.1*(4-3.68).

How to calculate Transconductance given Process Transconductance Parameter?

With Process Transconductance Parameter (k'_n), Aspect Ratio (WL), Gate-Source Voltage (V_gs) & Threshold Voltage (V_th) we can find Transconductance given Process Transconductance Parameter using the formula - Transconductance = Process Transconductance Parameter*Aspect Ratio*(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*Overdrive Voltage
Transconductance=Transconductance Parameter*(Gate-Source Voltage-Threshold Voltage)

Can the Transconductance given Process Transconductance Parameter be negative?

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

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

Transconductance given Process 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 Transconductance given Process Transconductance Parameter can be measured.

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Transconductance given Process Transconductance Parameter Formula

​GoTransconductance given Drain Current Formula

​GoTransconductance using Process Transconductance Parameter and Overdrive Voltage Formula

Transconductance given Process Transconductance Parameter Example

Transconductance given Process Transconductance Parameter Solution

Transconductance given Process Transconductance Parameter Formula Elements

Other Formulas to find Transconductance

Other formulas in Transconductance category

How to Evaluate Transconductance given Process Transconductance Parameter?

FAQs on Transconductance given Process Transconductance Parameter

Variable Name

GoTransconductance given Drain Current Formula

GoTransconductance using Process Transconductance Parameter and Overdrive Voltage Formula