Transconductance in MESFET Calculator

✖Gate Source Capacitance is a parasitic capacitance that exists between the gate and source terminals of a MESFET or other types of transistors.ⓘ Gate Source Capacitance [C_gs]			+10% -10%
✖Cut-off Frequency is defined as corner frequency is a boundary in system's frequency response at which energy flowing through system begins to be reduced rather than passing through.ⓘ Cut-off Frequency [f_co]			+10% -10%

✖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.ⓘ Transconductance in MESFET [g_m]

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Transconductance in MESFET

Formula

`"g"_{"m"} = 2*"C"_{"gs"}*pi*"f"_{"co"}`

Example

`"0.050035S"=2*"265μF"*pi*"30.05Hz"`

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Download MESFET Characteristics Formulas PDF

Transconductance in MESFET Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transconductance = 2*Gate Source Capacitance*pi*Cut-off Frequency
g_m = 2*C_gs*pi*f_co
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Gate Source Capacitance - (Measured in Farad) - Gate Source Capacitance is a parasitic capacitance that exists between the gate and source terminals of a MESFET or other types of transistors.
Cut-off Frequency - (Measured in Hertz) - Cut-off Frequency is defined as corner frequency is a boundary in system's frequency response at which energy flowing through system begins to be reduced rather than passing through.

STEP 1: Convert Input(s) to Base Unit

Gate Source Capacitance: 265 Microfarad --> 0.000265 Farad (Check conversion here)
Cut-off Frequency: 30.05 Hertz --> 30.05 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

g_m = 2*C_gs*pi*f_co --> 2*0.000265*pi*30.05

Evaluating ... ...

g_m = 0.0500345753973978

STEP 3: Convert Result to Output's Unit

0.0500345753973978 Siemens --> No Conversion Required

FINAL ANSWER

0.0500345753973978 ≈ 0.050035 Siemens <-- Transconductance

(Calculation completed in 00.020 seconds)

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< 13 MESFET Characteristics Calculators

Cut-off Frequency using Maximum Frequency

Go Cut-off Frequency = (2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance)))

Gate Metallization Resistance

Go Gate Metallization Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Source Resistance+Input Resistance)

Source Resistance

Go Source Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization Resistance+Input Resistance)

Input Resistance

Go Input Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization Resistance+Source Resistance)

Drain Resistance of MESFET

Go Drain Resistance = ((4*Maximum Frequency of Oscillations^2)/Cut-off Frequency^2)*(Source Resistance+Gate Metallization Resistance+Input Resistance)

Transconductance in Saturation Region

Go Transconductance = Output Conductance*(1-sqrt((Schottky Diode Potential Barrier-Gate Voltage)/Pinch Off Voltage))

Maximum Frequency of Oscillations in MESFET

Go Maximum Frequency of Oscillations = (Unity Gain Frequency/2)*sqrt(Drain Resistance/Gate Metallization Resistance)

Maximum Frequency of Oscillation given Transconductance

Go Maximum Frequency of Oscillations = Transconductance/(pi*Gate Source Capacitance)

Cut-off Frequency given Transconductance and Capacitance

Go Cut-off Frequency = Transconductance/(2*pi*Gate Source Capacitance)

Gate Source Capacitance

Go Gate Source Capacitance = Transconductance/(2*pi*Cut-off Frequency)

Transconductance in MESFET

Go Transconductance = 2*Gate Source Capacitance*pi*Cut-off Frequency

Gate Length of MESFET

Go Gate Length = Saturated Drift Velocity/(4*pi*Cut-off Frequency)

Cut-off Frequency

Go Cut-off Frequency = Saturated Drift Velocity/(4*pi*Gate Length)

Transconductance in MESFET Formula

Transconductance = 2*Gate Source Capacitance*pi*Cut-off Frequency
g_m = 2*C_gs*pi*f_co

What are the applications of MESFET?

MESFETs are particularly useful in high-frequency applications due to their high breakdown voltage and low input capacitance, making them an essential component in modern electronic systems.

How to Calculate Transconductance in MESFET?

Transconductance in MESFET calculator uses Transconductance = 2*Gate Source Capacitance*pi*Cut-off Frequency to calculate the Transconductance, The Transconductance in MESFET formula is defined as Transconductance, also infrequently called mutual conductance, is the electrical characteristic relating the current through the output of a device to the voltage across the input of a device. Transconductance is denoted by g_m symbol.

How to calculate Transconductance in MESFET using this online calculator? To use this online calculator for Transconductance in MESFET, enter Gate Source Capacitance (C_gs) & Cut-off Frequency (f_co) and hit the calculate button. Here is how the Transconductance in MESFET calculation can be explained with given input values -> 0.050035 = 2*0.000265*pi*30.05.

FAQ

What is Transconductance in MESFET?

The Transconductance in MESFET formula is defined as Transconductance, also infrequently called mutual conductance, is the electrical characteristic relating the current through the output of a device to the voltage across the input of a device and is represented as g_m = 2*C_gs*pi*f_co or Transconductance = 2*Gate Source Capacitance*pi*Cut-off Frequency. Gate Source Capacitance is a parasitic capacitance that exists between the gate and source terminals of a MESFET or other types of transistors & Cut-off Frequency is defined as corner frequency is a boundary in system's frequency response at which energy flowing through system begins to be reduced rather than passing through.

How to calculate Transconductance in MESFET?

The Transconductance in MESFET formula is defined as Transconductance, also infrequently called mutual conductance, is the electrical characteristic relating the current through the output of a device to the voltage across the input of a device is calculated using Transconductance = 2*Gate Source Capacitance*pi*Cut-off Frequency. To calculate Transconductance in MESFET, you need Gate Source Capacitance (C_gs) & Cut-off Frequency (f_co). With our tool, you need to enter the respective value for Gate Source Capacitance & Cut-off Frequency 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 Gate Source Capacitance & Cut-off Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -

Transconductance = Output Conductance*(1-sqrt((Schottky Diode Potential Barrier-Gate Voltage)/Pinch Off Voltage))

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