Back Gate Transconductance 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%
✖The Voltage Efficiency is the percentage of the ratio of input voltage to the output voltage.ⓘ Voltage Efficiency [η]			+10% -10%

✖Back Gate Transconductanceis a measure of the current flowing through a MOSFET with the back gate terminal open.ⓘ Back Gate Transconductance [g_b]

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Formula

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Back Gate Transconductance

Formula

`"g"_{"b"} = "g"_{"m"}*"η"`

Example

`"0.0003S"="0.5mS"*"0.6"`

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Back Gate Transconductance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Back Gate Transconductance = Transconductance*Voltage Efficiency
g_b = g_m*η
This formula uses 3 Variables

Variables Used

Back Gate Transconductance - (Measured in Siemens) - Back Gate Transconductanceis a measure of the current flowing through a MOSFET with the back gate terminal open.
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.
Voltage Efficiency - The Voltage Efficiency is the percentage of the ratio of input voltage to the output voltage.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion here)
Voltage Efficiency: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

g_b = g_m*η --> 0.0005*0.6

Evaluating ... ...

g_b = 0.0003

STEP 3: Convert Result to Output's Unit

0.0003 Siemens --> No Conversion Required

FINAL ANSWER

0.0003 Siemens <-- Back Gate Transconductance

(Calculation completed in 00.004 seconds)

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Created by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has created this Calculator and 10+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 16 Transconductance Calculators

MOSFET Transconductance using Process Transconductance Parameter

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

Transconductance given Process Transconductance Parameter

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

Transconductance given Drain Current

Go Transconductance = sqrt(2*Process Transconductance Parameter*Aspect Ratio*Drain Current)

MOSFET Transconductance using Process Transconductance Parameter and Overdrive Voltage

Go Process Transconductance Parameter = Transconductance/(Aspect Ratio*Overdrive Voltage)

Process Transconductance given Transconductance and Drain Current

Go Process Transconductance Parameter = Transconductance^2/(2*Aspect Ratio*Drain Current)

Drain Current given process transconductance and transconductance

Go Drain Current = Transconductance^2/(2*Aspect Ratio*Process Transconductance Parameter)

MOSFET Transconductance given Transconductance Parameter

Go Transconductance = Transconductance Parameter*(Gate-Source Voltage-Threshold Voltage)

Transconductance using Process Transconductance Parameter and Overdrive Voltage

Go Transconductance = Process Transconductance Parameter*Aspect Ratio*Overdrive Voltage

MOSFET Transconductance Parameter using Process Transconductance

Go Transconductance Parameter = Process Transconductance Parameter*Aspect Ratio

Body Effect on Transconductance

Go Body Transconductance = Change in Threshold to Base Voltage*Transconductance

Back Gate Transconductance

Go Back Gate Transconductance = Transconductance*Voltage Efficiency

MOSFET Transconductance given Overdrive Voltage

Go Transconductance = Transconductance Parameter*Overdrive Voltage

Process Transconductance Parameter of MOSFET

Go Transconductance Parameter = Transconductance/Overdrive Voltage

MOSFET Transconductance

Go Transconductance = Change in Drain Current/Gate-Source Voltage

Drain Current using Transconductance

Go Drain Current = (Overdrive Voltage)*Transconductance/2

Transconductance in MOSFET

Go Transconductance = (2*Drain Current)/Overdrive Voltage

Back Gate Transconductance Formula

Back Gate Transconductance = Transconductance*Voltage Efficiency
g_b = g_m*η

What is the importance of back gate transconductance?

Back gate transconductance is crucial in determining the performance of MOSFETs in electronic circuits. It controls the amount of charge that can flow between the source and drain regions, thus affecting the device's current flow and voltage drop.

How to Calculate Back Gate Transconductance?

Back Gate Transconductance calculator uses Back Gate Transconductance = Transconductance*Voltage Efficiency to calculate the Back Gate Transconductance, The Back Gate Transconductance formula is defined as measure of the current flowing through a MOSFET with the back gate terminal open. It is an important parameter in MOSFET design and analysis, as it affects the device's performance and behavior. Back Gate Transconductance is denoted by g_b symbol.

How to calculate Back Gate Transconductance using this online calculator? To use this online calculator for Back Gate Transconductance, enter Transconductance (g_m) & Voltage Efficiency (η) and hit the calculate button. Here is how the Back Gate Transconductance calculation can be explained with given input values -> 0.0003 = 0.0005*0.6.

FAQ

What is Back Gate Transconductance?

The Back Gate Transconductance formula is defined as measure of the current flowing through a MOSFET with the back gate terminal open. It is an important parameter in MOSFET design and analysis, as it affects the device's performance and behavior and is represented as g_b = g_m*η or Back Gate Transconductance = Transconductance*Voltage Efficiency. 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 & The Voltage Efficiency is the percentage of the ratio of input voltage to the output voltage.

How to calculate Back Gate Transconductance?

The Back Gate Transconductance formula is defined as measure of the current flowing through a MOSFET with the back gate terminal open. It is an important parameter in MOSFET design and analysis, as it affects the device's performance and behavior is calculated using Back Gate Transconductance = Transconductance*Voltage Efficiency. To calculate Back Gate Transconductance, you need Transconductance (g_m) & Voltage Efficiency (η). With our tool, you need to enter the respective value for Transconductance & Voltage Efficiency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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