Process Transconductance given Transconductance and Drain Current Calculator

✖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 [g_m]			+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%

✖The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor.ⓘ Process Transconductance given Transconductance and Drain Current [k'_n]

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Process Transconductance given Transconductance and Drain Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Process Transconductance Parameter = Transconductance^2/(2*Aspect Ratio*Drain Current)
k'_n = g_m^2/(2*WL*i_d)
This formula uses 4 Variables

Variables Used

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.
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.
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

Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion here)
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

k'_n = g_m^2/(2*WL*i_d) --> 0.0005^2/(2*0.1*8E-05)

Evaluating ... ...

k'_n = 0.015625

STEP 3: Convert Result to Output's Unit

0.015625 Ampere per Square Volt --> No Conversion Required

FINAL ANSWER

0.015625 Ampere per Square Volt <-- Process Transconductance Parameter

(Calculation completed in 00.004 seconds)

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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

Process Transconductance given Transconductance and Drain Current Formula

LaTeX Go

Process Transconductance Parameter = Transconductance^2/(2*Aspect Ratio*Drain Current)
k'_n = g_m^2/(2*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 Process Transconductance given Transconductance and Drain Current?

Process Transconductance given Transconductance and Drain Current calculator uses Process Transconductance Parameter = Transconductance^2/(2*Aspect Ratio*Drain Current) to calculate the Process Transconductance Parameter, Process Transconductance given Transconductance and Drain Current is depends on. square of transconductance and drain curent. Process Transconductance Parameter is denoted by k'_n symbol.

How to calculate Process Transconductance given Transconductance and Drain Current using this online calculator? To use this online calculator for Process Transconductance given Transconductance and Drain Current, enter Transconductance (g_m), Aspect Ratio (WL) & Drain Current (i_d) and hit the calculate button. Here is how the Process Transconductance given Transconductance and Drain Current calculation can be explained with given input values -> 0.015625 = 0.0005^2/(2*0.1*8E-05).

FAQ

What is Process Transconductance given Transconductance and Drain Current?

Process Transconductance given Transconductance and Drain Current is depends on. square of transconductance and drain curent and is represented as k'_n = g_m^2/(2*WL*i_d) or Process Transconductance Parameter = Transconductance^2/(2*Aspect Ratio*Drain Current). 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, 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 Process Transconductance given Transconductance and Drain Current?

Process Transconductance given Transconductance and Drain Current is depends on. square of transconductance and drain curent is calculated using Process Transconductance Parameter = Transconductance^2/(2*Aspect Ratio*Drain Current). To calculate Process Transconductance given Transconductance and Drain Current, you need Transconductance (g_m), Aspect Ratio (WL) & Drain Current (i_d). With our tool, you need to enter the respective value for Transconductance, 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 Process Transconductance Parameter?

In this formula, Process Transconductance Parameter uses Transconductance, Aspect Ratio & Drain Current. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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