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Transconductance in Saturation Region Formula

GoTransconductance in MESFET Formula

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Transconductance is defined as the ratio of the change in drain current to the change in gate-source voltage, assuming a constant drain-source voltage. Check FAQs

g m = G o \cdot (1 - \sqrt{\frac{V i - V g}{V p}})

g_m - Transconductance?G_o - Output Conductance?V_i - Schottky Diode Potential Barrier?V_g - Gate Voltage?V_p - Pinch Off Voltage?

Transconductance in Saturation Region Example

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Here is how the Transconductance in Saturation Region equation looks like with Values.

Here is how the Transconductance in Saturation Region equation looks like with Units.

Here is how the Transconductance in Saturation Region equation looks like.

0.051 = 0.174 \cdot (1 - \sqrt{\frac{15.9 - 9.62}{12.56}})

0.051S = 0.174S \cdot (1 - \sqrt{\frac{15.9V - 9.62V}{12.56V}})

0.051 = 0.174 \cdot (1 - \sqrt{\frac{15.9 - 9.62}{12.56}})

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Transconductance in Saturation Region Solution

Follow our step by step solution on how to calculate Transconductance in Saturation Region?

FIRST Step Consider the formula

g m = G o \cdot (1 - \sqrt{\frac{V i - V g}{V p}})

Next Step Substitute values of Variables

∴

g m = 0.174S \cdot (1 - \sqrt{\frac{15.9V - 9.62V}{12.56V}})

Next Step Prepare to Evaluate

∴

g m = 0.174 \cdot (1 - \sqrt{\frac{15.9 - 9.62}{12.56}})

Next Step Evaluate

∴

g m = 0.0509634200735407S

LAST Step Rounding Answer

∴

g m = 0.051S

Transconductance in Saturation Region Formula Elements

Variables

Functions

Transconductance

Transconductance is defined as the ratio of the change in drain current to the change in gate-source voltage, assuming a constant drain-source voltage.

Symbol: g_m

Measurement: TransconductanceUnit: S

Note: Value can be positive or negative.

Formulas to find Transconductance

Output Conductance

The Output Conductance represents the small-signal drain-source conductance of the MOSFET when the gate-source voltage is held constant.

Symbol: G_o

Measurement: Electric ConductanceUnit: S

Note: Value can be positive or negative.

Formulas to find Output Conductance

Schottky Diode Potential Barrier

Schottky Diode Potential Barrier is the energy barrier that exists at the interface between a metal and a semiconductor material in a Schottky diode.

Symbol: V_i

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Schottky Diode Potential Barrier

Gate Voltage

Gate Voltage refers to the voltage applied to the control terminal of a MESFET to regulate its conductance.The gate voltage determines the number of free charge carriers in the channel.

Symbol: V_g

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Gate Voltage

Pinch Off Voltage

Pinch Off Voltage is the gate voltage at which the channel becomes completely pinched off, and is a key parameter in the operation of FETs. It is an important parameter in circuit design.

Symbol: V_p

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Pinch Off Voltage

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 in MESFET

g m = 2 \cdot C gs \cdot π \cdot f co

Other formulas in MESFET Characteristics category

Go Gate Length of MESFET

L gate = \frac{V s}{4 \cdot π \cdot f co}

Go Cut-off Frequency

f co = \frac{V s}{4 \cdot π \cdot L gate}

Go Gate Source Capacitance

C gs = \frac{g m}{2 \cdot π \cdot f co}

Go Maximum Frequency of Oscillations in MESFET

f m = (\frac{f t}{2}) \cdot \sqrt{\frac{R d}{R g}}

How to Evaluate Transconductance in Saturation Region?

Transconductance in Saturation Region evaluator uses Transconductance = Output Conductance*(1-sqrt((Schottky Diode Potential Barrier-Gate Voltage)/Pinch Off Voltage)) to evaluate the Transconductance, The Transconductance in Saturation Region formula is defined as the ratio of the change in the drain current to the change in the gate voltage at a fixed drain voltage, while the device is operating in the saturation region. It is a measure of the device's ability to amplify small changes in the input voltage applied to the gate electrode. Transconductance is denoted by g_m symbol.

How to evaluate Transconductance in Saturation Region using this online evaluator? To use this online evaluator for Transconductance in Saturation Region, enter Output Conductance (G_o), Schottky Diode Potential Barrier (V_i), Gate Voltage (V_g) & Pinch Off Voltage (V_p) and hit the calculate button.

FAQs on Transconductance in Saturation Region

What is the formula to find Transconductance in Saturation Region?

The formula of Transconductance in Saturation Region is expressed as Transconductance = Output Conductance*(1-sqrt((Schottky Diode Potential Barrier-Gate Voltage)/Pinch Off Voltage)). Here is an example- 0.050963 = 0.174*(1-sqrt((15.9-9.62)/12.56)).

How to calculate Transconductance in Saturation Region?

With Output Conductance (G_o), Schottky Diode Potential Barrier (V_i), Gate Voltage (V_g) & Pinch Off Voltage (V_p) we can find Transconductance in Saturation Region using the formula - Transconductance = Output Conductance*(1-sqrt((Schottky Diode Potential Barrier-Gate Voltage)/Pinch Off Voltage)). 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=2*Gate Source Capacitance*pi*Cut-off Frequency

Can the Transconductance in Saturation Region be negative?

Yes, the Transconductance in Saturation Region, measured in Transconductance can be negative.

Which unit is used to measure Transconductance in Saturation Region?

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

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Transconductance in Saturation Region Formula

​GoTransconductance in MESFET Formula

Transconductance in Saturation Region Example

Transconductance in Saturation Region Solution

Transconductance in Saturation Region Formula Elements

Other Formulas to find Transconductance

Other formulas in MESFET Characteristics category

How to Evaluate Transconductance in Saturation Region?

FAQs on Transconductance in Saturation Region

Variable Name

GoTransconductance in MESFET Formula