Transconductance in Saturation Region Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transconductance = Output Conductance*(1-sqrt((Schottky Diode Potential Barrier-Gate Voltage)/Pinch Off Voltage))
gm = Go*(1-sqrt((Vi-Vg)/Vp))
This formula uses 1 Functions, 5 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 drain current to the change in gate-source voltage, assuming a constant drain-source voltage.
Output Conductance - (Measured in Siemens) - The Output Conductance represents the small-signal drain-source conductance of the MOSFET when the gate-source voltage is held constant.
Schottky Diode Potential Barrier - (Measured in Volt) - Schottky Diode Potential Barrier is the energy barrier that exists at the interface between a metal and a semiconductor material in a Schottky diode.
Gate Voltage - (Measured in Volt) - 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.
Pinch Off Voltage - (Measured in Volt) - 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.
STEP 1: Convert Input(s) to Base Unit
Output Conductance: 0.174 Siemens --> 0.174 Siemens No Conversion Required
Schottky Diode Potential Barrier: 15.9 Volt --> 15.9 Volt No Conversion Required
Gate Voltage: 9.62 Volt --> 9.62 Volt No Conversion Required
Pinch Off Voltage: 12.56 Volt --> 12.56 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
gm = Go*(1-sqrt((Vi-Vg)/Vp)) --> 0.174*(1-sqrt((15.9-9.62)/12.56))
Evaluating ... ...
gm = 0.0509634200735407
STEP 3: Convert Result to Output's Unit
0.0509634200735407 Siemens --> No Conversion Required
FINAL ANSWER
0.0509634200735407 0.050963 Siemens <-- Transconductance
(Calculation completed in 00.011 seconds)

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National Institute of Technology, Patna (NITP), Patna
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MESFET Characteristics Calculators

Gate Source Capacitance
​ LaTeX ​ Go Gate Source Capacitance = Transconductance/(2*pi*Cut-off Frequency)
Transconductance in MESFET
​ LaTeX ​ Go Transconductance = 2*Gate Source Capacitance*pi*Cut-off Frequency
Gate Length of MESFET
​ LaTeX ​ Go Gate Length = Saturated Drift Velocity/(4*pi*Cut-off Frequency)
Cut-off Frequency
​ LaTeX ​ Go Cut-off Frequency = Saturated Drift Velocity/(4*pi*Gate Length)

Transconductance in Saturation Region Formula

​LaTeX ​Go
Transconductance = Output Conductance*(1-sqrt((Schottky Diode Potential Barrier-Gate Voltage)/Pinch Off Voltage))
gm = Go*(1-sqrt((Vi-Vg)/Vp))

What is transconductance?

Transconductance (gm) is a measure of the sensitivity of the output current of a device to changes in the input voltage. It is defined as the derivative of the output current with respect to the input voltage, and has units of siemens (S).

How to Calculate Transconductance in Saturation Region?

Transconductance in Saturation Region calculator uses Transconductance = Output Conductance*(1-sqrt((Schottky Diode Potential Barrier-Gate Voltage)/Pinch Off Voltage)) to calculate 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 gm symbol.

How to calculate Transconductance in Saturation Region using this online calculator? To use this online calculator for Transconductance in Saturation Region, enter Output Conductance (Go), Schottky Diode Potential Barrier (Vi), Gate Voltage (Vg) & Pinch Off Voltage (Vp) and hit the calculate button. Here is how the Transconductance in Saturation Region calculation can be explained with given input values -> 0.050963 = 0.174*(1-sqrt((15.9-9.62)/12.56)).

FAQ

What is Transconductance in Saturation Region?
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 and is represented as gm = Go*(1-sqrt((Vi-Vg)/Vp)) or Transconductance = Output Conductance*(1-sqrt((Schottky Diode Potential Barrier-Gate Voltage)/Pinch Off Voltage)). The Output Conductance represents the small-signal drain-source conductance of the MOSFET when the gate-source voltage is held constant, Schottky Diode Potential Barrier is the energy barrier that exists at the interface between a metal and a semiconductor material in a Schottky diode, 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 & 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.
How to calculate Transconductance in Saturation Region?
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 is calculated using Transconductance = Output Conductance*(1-sqrt((Schottky Diode Potential Barrier-Gate Voltage)/Pinch Off Voltage)). To calculate Transconductance in Saturation Region, you need Output Conductance (Go), Schottky Diode Potential Barrier (Vi), Gate Voltage (Vg) & Pinch Off Voltage (Vp). With our tool, you need to enter the respective value for Output Conductance, Schottky Diode Potential Barrier, Gate Voltage & Pinch Off Voltage 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 Output Conductance, Schottky Diode Potential Barrier, Gate Voltage & Pinch Off Voltage. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Transconductance = 2*Gate Source Capacitance*pi*Cut-off Frequency
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