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Back Gate Transconductance Formula

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Back Gate Transconductanceis a measure of the current flowing through a MOSFET with the back gate terminal open. Check FAQs

g b = g m \cdot η

g_b - Back Gate Transconductance?g_m - Transconductance?η - Voltage Efficiency?

Back Gate Transconductance Example

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Here is how the Back Gate Transconductance equation looks like with Values.

Here is how the Back Gate Transconductance equation looks like with Units.

Here is how the Back Gate Transconductance equation looks like.

0.0003 = 0.5 \cdot 0.6

0.0003S = 0.5mS \cdot 0.6

0.0003 = 0.5 \cdot 0.6

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Back Gate Transconductance Solution

Follow our step by step solution on how to calculate Back Gate Transconductance?

FIRST Step Consider the formula

g b = g m \cdot η

Next Step Substitute values of Variables

∴

g b = 0.5mS \cdot 0.6

Next Step Convert Units

∴

g b = 0.0005S \cdot 0.6

Next Step Prepare to Evaluate

∴

g b = 0.0005 \cdot 0.6

LAST Step Evaluate

∴

g b = 0.0003S

Back Gate Transconductance Formula Elements

Variables

Back Gate Transconductance

Back Gate Transconductanceis a measure of the current flowing through a MOSFET with the back gate terminal open.

Symbol: g_b

Measurement: TransconductanceUnit: S

Note: Value should be greater than 0.

Formulas to find Back Gate Transconductance

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

Voltage Efficiency

The Voltage Efficiency is the percentage of the ratio of input voltage to the output voltage.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Voltage Efficiency

Other formulas in Transconductance category

Go Drain Current using Transconductance

i d = (V ov) \cdot \frac{g m}{2}

Go Transconductance given Drain Current

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

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

How to Evaluate Back Gate Transconductance?

Back Gate Transconductance evaluator uses Back Gate Transconductance = Transconductance*Voltage Efficiency to evaluate 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 evaluate Back Gate Transconductance using this online evaluator? To use this online evaluator for Back Gate Transconductance, enter Transconductance (g_m) & Voltage Efficiency (η) and hit the calculate button.

FAQs on Back Gate Transconductance

What is the formula to find Back Gate Transconductance?

The formula of Back Gate Transconductance is expressed as Back Gate Transconductance = Transconductance*Voltage Efficiency. Here is an example- 0.0003 = 0.0005*0.6.

How to calculate Back Gate Transconductance?

With Transconductance (g_m) & Voltage Efficiency (η) we can find Back Gate Transconductance using the formula - Back Gate Transconductance = Transconductance*Voltage Efficiency.

Can the Back Gate Transconductance be negative?

No, the Back Gate Transconductance, measured in Transconductance cannot be negative.

Which unit is used to measure Back Gate Transconductance?

Back Gate Transconductance is usually measured using the Siemens[S] for Transconductance. Millisiemens[S] are the few other units in which Back Gate Transconductance can be measured.

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