Transconductance given Drain Current Calculator

✖The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor.ⓘ Process Transconductance Parameter [k'_n]			+10% -10%
✖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.ⓘ Aspect Ratio [WL]			+10% -10%
✖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.ⓘ Drain Current [i_d]			+10% -10%

✖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.ⓘ Transconductance given Drain Current [g_m]

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Transconductance given Drain Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transconductance = sqrt(2*Process Transconductance Parameter*Aspect Ratio*Drain Current)
g_m = sqrt(2*k'_n*WL*i_d)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

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.
Process Transconductance Parameter - (Measured in Ampere per Square Volt) - The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor.
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.
Drain Current - (Measured in Ampere) - 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.

STEP 1: Convert Input(s) to Base Unit

Process Transconductance Parameter: 0.015 Ampere per Square Volt --> 0.015 Ampere per Square Volt No Conversion Required
Aspect Ratio: 0.1 --> No Conversion Required
Drain Current: 0.08 Milliampere --> 8E-05 Ampere (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

g_m = sqrt(2*k'_n*WL*i_d) --> sqrt(2*0.015*0.1*8E-05)

Evaluating ... ...

g_m = 0.000489897948556636

STEP 3: Convert Result to Output's Unit

0.000489897948556636 Siemens -->0.489897948556636 Millisiemens (Check conversion here)

FINAL ANSWER

0.489897948556636 ≈ 0.489898 Millisiemens <-- Transconductance

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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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

Transconductance given Drain Current Formula

LaTeX Go

Transconductance = sqrt(2*Process Transconductance Parameter*Aspect Ratio*Drain Current)
g_m = sqrt(2*k'_n*WL*i_d)

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 Transconductance given Drain Current?

Transconductance given Drain Current calculator uses Transconductance = sqrt(2*Process Transconductance Parameter*Aspect Ratio*Drain Current) to calculate 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 calculate Transconductance given Drain Current using this online calculator? To use this online calculator for Transconductance given Drain Current, enter Process Transconductance Parameter (k'_n), Aspect Ratio (WL) & Drain Current (i_d) and hit the calculate button. Here is how the Transconductance given Drain Current calculation can be explained with given input values -> 489.8979 = sqrt(2*0.015*0.1*8E-05).

FAQ

What is Transconductance given Drain Current?

The Transconductance given drain current formula is defined as the square root of twice of transconductance parameter and drain current and is represented as g_m = sqrt(2*k'_n*WL*i_d) or Transconductance = sqrt(2*Process Transconductance Parameter*Aspect Ratio*Drain Current). The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor, 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 & 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.

How to calculate Transconductance given Drain Current?

The Transconductance given drain current formula is defined as the square root of twice of transconductance parameter and drain current is calculated using Transconductance = sqrt(2*Process Transconductance Parameter*Aspect Ratio*Drain Current). To calculate Transconductance given Drain Current, you need Process Transconductance Parameter (k'_n), Aspect Ratio (WL) & Drain Current (i_d). With our tool, you need to enter the respective value for Process Transconductance Parameter, Aspect Ratio & Drain Current 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 Process Transconductance Parameter, Aspect Ratio & Drain Current. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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