Maximum Frequency of Oscillation given Transconductance Calculator

✖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 [g_m]			+10% -10%
✖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%

✖Maximum Frequency of Oscillations is defined as the practical upper bound for useful circuit operation with MESFET.ⓘ Maximum Frequency of Oscillation given Transconductance [f_m]

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Maximum Frequency of Oscillation given Transconductance

Formula

`"f"_{"m"} = "g"_{"m"}/(pi*"C"_{"gs"})`

Example

`"60.05847Hz"="0.05S"/(pi*"265μF")`

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Maximum Frequency of Oscillation given Transconductance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Frequency of Oscillations = Transconductance/(pi*Gate Source Capacitance)
f_m = g_m/(pi*C_gs)
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
Gate Source Capacitance: 265 Microfarad --> 0.000265 Farad (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_m = g_m/(pi*C_gs) --> 0.05/(pi*0.000265)

Evaluating ... ...

f_m = 60.0584690912813

STEP 3: Convert Result to Output's Unit

60.0584690912813 Hertz --> No Conversion Required

FINAL ANSWER

60.0584690912813 ≈ 60.05847 Hertz <-- Maximum Frequency of Oscillations

(Calculation completed in 00.004 seconds)

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National Institute of Technology, Patna (NITP), Patna

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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)

Maximum Frequency of Oscillation given Transconductance Formula

Maximum Frequency of Oscillations = Transconductance/(pi*Gate Source Capacitance)
f_m = g_m/(pi*C_gs)

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 f_m 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 (g_m) & Gate Source Capacitance (C_gs) 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 f_m = g_m/(pi*C_gs) 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 (g_m) & Gate Source Capacitance (C_gs). 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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