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Transconductance given Drain Current Formula

GoTransconductance given Process Transconductance Parameter 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 = \sqrt{2 \cdot k' n \cdot WL \cdot i d}

g_m - Transconductance?k'_n - Process Transconductance Parameter?WL - Aspect Ratio?i_d - Drain Current?

Transconductance given Drain Current Example

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Here is how the Transconductance given Drain Current equation looks like with Values.

Here is how the Transconductance given Drain Current equation looks like with Units.

Here is how the Transconductance given Drain Current equation looks like.

0.4899 = \sqrt{2 \cdot 0.015 \cdot 0.1 \cdot 0.08}

0.4899mS = \sqrt{2 \cdot 0.015A/V² \cdot 0.1 \cdot 0.08mA}

0.4899 = \sqrt{2 \cdot 0.015 \cdot 0.1 \cdot 0.08}

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Transconductance given Drain Current Solution

Follow our step by step solution on how to calculate Transconductance given Drain Current?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

g m = \sqrt{2 \cdot 0.015A/V² \cdot 0.1 \cdot 0.08mA}

Next Step Convert Units

∴

g m = \sqrt{2 \cdot 0.015A/V² \cdot 0.1 \cdot 8E-5A}

Next Step Prepare to Evaluate

∴

g m = \sqrt{2 \cdot 0.015 \cdot 0.1 \cdot 8E-5}

Next Step Evaluate

∴

g m = 0.000489897948556636S

Next Step Convert to Output's Unit

∴

g m = 0.489897948556636mS

LAST Step Rounding Answer

∴

g m = 0.4899mS

Transconductance given Drain Current Formula Elements

Variables

Functions

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

Drain Current

Drain current is the current that flows between the drain and the source terminals of a field-effect transistor (FET), which is a type of transistor commonly used in electronic circuits.

Symbol: i_d

Measurement: Electric CurrentUnit: mA

Note: Value should be greater than 0.

Formulas to find Drain Current

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Transconductance

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)

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 Drain Current?

Transconductance given Drain Current evaluator uses Transconductance = sqrt(2*Process Transconductance Parameter*Aspect Ratio*Drain Current) to evaluate the Transconductance, The Transconductance given drain current formula is defined as the square root of twice of transconductance parameter and drain current. Transconductance is denoted by g_m symbol.

How to evaluate Transconductance given Drain Current using this online evaluator? To use this online evaluator for Transconductance given Drain Current, enter Process Transconductance Parameter (k'_n), Aspect Ratio (WL) & Drain Current (i_d) and hit the calculate button.

FAQs on Transconductance given Drain Current

What is the formula to find Transconductance given Drain Current?

The formula of Transconductance given Drain Current is expressed as Transconductance = sqrt(2*Process Transconductance Parameter*Aspect Ratio*Drain Current). Here is an example- 489.8979 = sqrt(2*0.015*0.1*8E-05).

How to calculate Transconductance given Drain Current?

With Process Transconductance Parameter (k'_n), Aspect Ratio (WL) & Drain Current (i_d) we can find Transconductance given Drain Current using the formula - Transconductance = sqrt(2*Process Transconductance Parameter*Aspect Ratio*Drain Current). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Transconductance?

Here are the different ways to Calculate Transconductance-

Transconductance=Process Transconductance Parameter*Aspect Ratio*(Gate-Source Voltage-Threshold Voltage)
Transconductance=Process Transconductance Parameter*Aspect Ratio*Overdrive Voltage
Transconductance=Transconductance Parameter*(Gate-Source Voltage-Threshold Voltage)

Can the Transconductance given Drain Current be negative?

Yes, the Transconductance given Drain Current, measured in Electric Conductance can be negative.

Which unit is used to measure Transconductance given Drain Current?

Transconductance given Drain Current 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 Drain Current can be measured.

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Transconductance given Drain Current Formula

​GoTransconductance given Process Transconductance Parameter Formula

​GoTransconductance using Process Transconductance Parameter and Overdrive Voltage Formula

Transconductance given Drain Current Example

Transconductance given Drain Current Solution

Transconductance given Drain Current Formula Elements

Other Formulas to find Transconductance

Other formulas in Transconductance category

How to Evaluate Transconductance given Drain Current?

FAQs on Transconductance given Drain Current

Variable Name

GoTransconductance given Process Transconductance Parameter Formula

GoTransconductance using Process Transconductance Parameter and Overdrive Voltage Formula