## Maximum Frequency of Oscillation given Transconductance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Frequency of Oscillations = Transconductance/(pi*Gate Source Capacitance)
fm = 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 with MESFET.
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.
STEP 1: Convert Input(s) to Base Unit
Transconductance: 0.05 Siemens --> 0.05 Siemens No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fm = gm/(pi*Cgs) --> 0.05/(pi*0.000265)
Evaluating ... ...
fm = 60.0584690912813
STEP 3: Convert Result to Output's Unit
60.0584690912813 Hertz --> No Conversion Required
60.0584690912813 60.05847 Hertz <-- Maximum Frequency of Oscillations
(Calculation completed in 00.004 seconds)
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## Credits

Created by Sonu Kumar Keshri
National Institute of Technology, Patna (NITP), Patna
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## < 13 MESFET Characteristics Calculators

Cut-off Frequency using Maximum Frequency
Cut-off Frequency = (2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance)))
Gate Metallization Resistance
Gate Metallization Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Source Resistance+Input Resistance)
Source Resistance
Source Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization Resistance+Input Resistance)
Input Resistance
Input Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization Resistance+Source Resistance)
Drain Resistance of MESFET
Drain Resistance = ((4*Maximum Frequency of Oscillations^2)/Cut-off Frequency^2)*(Source Resistance+Gate Metallization Resistance+Input Resistance)
Transconductance in Saturation Region
Transconductance = Output Conductance*(1-sqrt((Schottky Diode Potential Barrier-Gate Voltage)/Pinch Off Voltage))
Maximum Frequency of Oscillations in MESFET
Maximum Frequency of Oscillations = (Unity Gain Frequency/2)*sqrt(Drain Resistance/Gate Metallization Resistance)
Maximum Frequency of Oscillation given Transconductance
Maximum Frequency of Oscillations = Transconductance/(pi*Gate Source Capacitance)
Cut-off Frequency given Transconductance and Capacitance
Cut-off Frequency = Transconductance/(2*pi*Gate Source Capacitance)
Gate Source Capacitance
Gate Source Capacitance = Transconductance/(2*pi*Cut-off Frequency)
Transconductance in MESFET
Transconductance = 2*Gate Source Capacitance*pi*Cut-off Frequency
Cut-off Frequency
Cut-off Frequency = Saturated Drift Velocity/(4*pi*Gate Length)
Gate Length of MESFET
Gate Length = Saturated Drift Velocity/(4*pi*Cut-off Frequency)

## Maximum Frequency of Oscillation given Transconductance Formula

Maximum Frequency of Oscillations = Transconductance/(pi*Gate Source Capacitance)
fm = 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 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 fm 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 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 -> 60.05847 = 0.05/(pi*0.000265).

### 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 fm = gm/(pi*Cgs) or Maximum Frequency of Oscillations = Transconductance/(pi*Gate Source Capacitance). 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 is a parasitic capacitance that exists between the gate and source terminals of a MESFET or other types of transistors.
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 Source Capacitance). To calculate Maximum Frequency of Oscillation given Transconductance, you need Transconductance (gm) & Gate Source Capacitance (Cgs). With our tool, you need to enter the respective value for Transconductance & Gate 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 Source Capacitance. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Maximum Frequency of Oscillations = (Unity Gain Frequency/2)*sqrt(Drain Resistance/Gate Metallization Resistance)
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