## Maximum Frequency of Oscillation given Transconductance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Frequency of Oscillations = Transconductance/(pi*Gate to Source Capacitance)
Fmax = gm/(pi*Cgs)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Maximum Frequency of Oscillations - (Measured in Hertz) - Maximum frequency of oscillations is defined as the practical upper bound for useful circuit operation.
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
Fmax = gm/(pi*Cgs) --> 50/(pi*2.65E-06)
Evaluating ... ...
Fmax = 6005846.90912813
STEP 3: Convert Result to Output's Unit
6005846.90912813 Hertz -->6.00584690912813 Megahertz (Check conversion here)
6.00584690912813 Megahertz <-- Maximum Frequency of Oscillations
(Calculation completed in 00.016 seconds)
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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

## Maximum Frequency of Oscillation given Transconductance Formula

Maximum Frequency of Oscillations = Transconductance/(pi*Gate to Source Capacitance)
Fmax = gm/(pi*Cgs)

## What are the assumptions for the maximum frequency of oscillation ?

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

## How to Calculate Maximum Frequency of Oscillation given Transconductance?

Maximum Frequency of Oscillation given Transconductance calculator uses Maximum Frequency of Oscillations = Transconductance/(pi*Gate to Source Capacitance) to calculate the Maximum Frequency of Oscillations, The Maximum Frequency of Oscillation given Transconductance formula is defined as the highest frequency at which the device can oscillate when biased in its linear region of operation. It is also known as the unity-gain frequency or the frequency at which the device's small-signal voltage gain drops to unity. Maximum Frequency of Oscillations is denoted by Fmax symbol.

How to calculate Maximum Frequency of Oscillation given Transconductance using this online calculator? To use this online calculator for Maximum Frequency of Oscillation given Transconductance, enter Transconductance (gm) & Gate to Source Capacitance (Cgs) and hit the calculate button. Here is how the Maximum Frequency of Oscillation given Transconductance calculation can be explained with given input values -> 6.005847 = 50/(pi*2.65E-06).

### FAQ

What is Maximum Frequency of Oscillation given Transconductance?
The Maximum Frequency of Oscillation given Transconductance formula is defined as the highest frequency at which the device can oscillate when biased in its linear region of operation. It is also known as the unity-gain frequency or the frequency at which the device's small-signal voltage gain drops to unity and is represented as Fmax = gm/(pi*Cgs) or Maximum Frequency of Oscillations = Transconductance/(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 Maximum Frequency of Oscillation given Transconductance?
The Maximum Frequency of Oscillation given Transconductance formula is defined as the highest frequency at which the device can oscillate when biased in its linear region of operation. It is also known as the unity-gain frequency or the frequency at which the device's small-signal voltage gain drops to unity is calculated using Maximum Frequency of Oscillations = Transconductance/(pi*Gate to Source Capacitance). To calculate Maximum Frequency of Oscillation given Transconductance, 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 Maximum Frequency of Oscillations?
In this formula, Maximum Frequency of Oscillations uses Transconductance & Gate to Source Capacitance. We can use 3 other way(s) to calculate the same, which is/are as follows -
• Maximum Frequency of Oscillations = (Cut-off Frequency/2)*sqrt(Drain Resistance/Gate Metallization Resistance)
• Maximum Frequency of Oscillations = Cut-off Frequency/2
• Maximum Frequency of Oscillations = Saturated Drift Velocity/(2*pi*Gate Length)
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