## Cut Off Frequency MESFET given Transconductance and Capacitance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cut-off Frequency = Transconductance/(2*pi*Gate to Source Capacitance)
Fco = gm/(2*pi*Cgs)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Cut-off Frequency - (Measured in Hertz) - Cut-off frequency of MESFET is a boundary in a system's frequency response at which energy flowing through the system begins to be reduced rather than passing through.
Transconductance - (Measured in Siemens) - Transconductance MESFET, also infrequently called mutual conductance.
Gate to Source Capacitance - (Measured in Farad) - Gate to source capacitance is capacitance between Gate and source of mesfet.
STEP 1: Convert Input(s) to Base Unit
Transconductance: 50 Mho --> 50 Siemens (Check conversion here)
Gate to Source Capacitance: 2.65 Microfarad --> 2.65E-06 Farad (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fco = gm/(2*pi*Cgs) --> 50/(2*pi*2.65E-06)
Evaluating ... ...
Fco = 3002923.45456406
STEP 3: Convert Result to Output's Unit
3002923.45456406 Hertz -->3.00292345456406 Megahertz (Check conversion here)
3.00292345456406 Megahertz <-- Cut-off Frequency
(Calculation completed in 00.016 seconds)
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## Credits

Created by Sonu Kumar Keshri
National Institute of Technology, Patna (NITP), Patna
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## < 15 MESFET Calculators

Cut Off Frequency MESFET given Fmax and Resistance
Cut-off Frequency = (2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance)))
Drain Resistance MESFET
Drain Resistance = ((Maximum Frequency of Oscillations^2)*4/(Cut-off Frequency)^2)*(Source Resistance+Gate Metallization Resistance+Input Resistance)
Gate metallization resistance MESFET
Gate Metallization Resistance = (Drain Resistance/(2*Maximum Frequency of Oscillations/Cut-off Frequency)^2)-(Source Resistance+Input Resistance)
Source Resistance MESFET
Source Resistance = (Drain Resistance/(2*Maximum Frequency of Oscillations/Cut-off Frequency)^2)-(Gate Metallization Resistance+Input Resistance)
Input resistance MESFET
Input Resistance = (Drain Resistance/(2*Maximum Frequency of Oscillations/Cut-off Frequency)^2)-(Gate Metallization Resistance+Source Resistance)
Transconductance given Drain Voltage Constant
Transconductance = Output Conductance*(1-sqrt((Input Voltage-Gate Voltage)/Pinch Off Voltage))
Maximum frequency of oscillations MESFET
Maximum Frequency of Oscillations = (Cut-off Frequency/2)*sqrt(Drain Resistance/Gate Metallization Resistance)
Maximum Frequency of Oscillation given Transconductance
Maximum Frequency of Oscillations = Transconductance/(pi*Gate to Source Capacitance)
Maximum Frequency of Oscillation
Maximum Frequency of Oscillations = Saturated Drift Velocity/(2*pi*Gate Length)
Cut Off Frequency MESFET given Transconductance and Capacitance
Cut-off Frequency = Transconductance/(2*pi*Gate to Source Capacitance)
Gate to source capacitance MESFET
Gate to Source Capacitance = Transconductance/(2*pi*Cut-off Frequency)
Transconductance MESFET
Transconductance = Gate to Source Capacitance/2*pi*Cut-off Frequency
Cut-off frequency MESFET
Cut-off Frequency = Saturated Drift Velocity/(4*pi*Gate Length)
Gate length
Gate Length = Saturated Drift Velocity/(4*pi*Cut-off Frequency)
Maximum Frequency of Oscillation given Cut Off Frequency
Maximum Frequency of Oscillations = Cut-off Frequency/2

## Cut Off Frequency MESFET given Transconductance and Capacitance Formula

Cut-off Frequency = Transconductance/(2*pi*Gate to Source Capacitance)
Fco = gm/(2*pi*Cgs)

## On what conditions MESFET cut-off region varies?

This formula assumes that the MESFET is biased in its linear region of operation and that the device is small-signal. In practice, the cutoff frequency of a MESFET can vary depending on the specific device characteristics, operating conditions, and circuit configuration.

## How to Calculate Cut Off Frequency MESFET given Transconductance and Capacitance?

Cut Off Frequency MESFET given Transconductance and Capacitance calculator uses Cut-off Frequency = Transconductance/(2*pi*Gate to Source Capacitance) to calculate the Cut-off Frequency, The Cut Off Frequency MESFET given Transconductance and Capacitance formula is defined as as the frequency at which the small-signal voltage gain of the device drops to 0.707 or -3 dB of its maximum value. Cut-off Frequency is denoted by Fco symbol.

How to calculate Cut Off Frequency MESFET given Transconductance and Capacitance using this online calculator? To use this online calculator for Cut Off Frequency MESFET given Transconductance and Capacitance, enter Transconductance (gm) & Gate to Source Capacitance (Cgs) and hit the calculate button. Here is how the Cut Off Frequency MESFET given Transconductance and Capacitance calculation can be explained with given input values -> 3.002923 = 50/(2*pi*2.65E-06).

### FAQ

What is Cut Off Frequency MESFET given Transconductance and Capacitance?
The Cut Off Frequency MESFET given Transconductance and Capacitance formula is defined as as the frequency at which the small-signal voltage gain of the device drops to 0.707 or -3 dB of its maximum value and is represented as Fco = gm/(2*pi*Cgs) or Cut-off Frequency = Transconductance/(2*pi*Gate to Source Capacitance). Transconductance MESFET, also infrequently called mutual conductance & Gate to source capacitance is capacitance between Gate and source of mesfet.
How to calculate Cut Off Frequency MESFET given Transconductance and Capacitance?
The Cut Off Frequency MESFET given Transconductance and Capacitance formula is defined as as the frequency at which the small-signal voltage gain of the device drops to 0.707 or -3 dB of its maximum value is calculated using Cut-off Frequency = Transconductance/(2*pi*Gate to Source Capacitance). To calculate Cut Off Frequency MESFET given Transconductance and Capacitance, you need Transconductance (gm) & Gate to Source Capacitance (Cgs). With our tool, you need to enter the respective value for Transconductance & Gate to Source Capacitance 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 Cut-off Frequency?
In this formula, Cut-off Frequency uses Transconductance & Gate to Source Capacitance. We can use 2 other way(s) to calculate the same, which is/are as follows -
• Cut-off Frequency = Saturated Drift Velocity/(4*pi*Gate Length)
• Cut-off Frequency = (2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance)))
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