Cut-off Frequency given Transconductance and Capacitance 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%

✖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 given Transconductance and Capacitance [f_co]

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Cut-off Frequency given Transconductance and Capacitance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cut-off Frequency = Transconductance/(2*pi*Gate Source Capacitance)
f_co = g_m/(2*pi*C_gs)
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 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.
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_co = g_m/(2*pi*C_gs) --> 0.05/(2*pi*0.000265)

Evaluating ... ...

f_co = 30.0292345456406

STEP 3: Convert Result to Output's Unit

30.0292345456406 Hertz --> No Conversion Required

FINAL ANSWER

30.0292345456406 ≈ 30.02923 Hertz <-- Cut-off Frequency

(Calculation completed in 00.004 seconds)

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< MESFET Characteristics Calculators

Gate Source Capacitance

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

Transconductance in MESFET

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

Gate Length of MESFET

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

Cut-off Frequency

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

Cut-off Frequency given Transconductance and Capacitance Formula

LaTeX Go

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

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 given Transconductance and Capacitance?

Cut-off Frequency given Transconductance and Capacitance calculator uses Cut-off Frequency = Transconductance/(2*pi*Gate Source Capacitance) to calculate the Cut-off Frequency, The Cut-off Frequency 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 f_co symbol.

How to calculate Cut-off Frequency given Transconductance and Capacitance using this online calculator? To use this online calculator for Cut-off Frequency given Transconductance and Capacitance, enter Transconductance (g_m) & Gate Source Capacitance (C_gs) and hit the calculate button. Here is how the Cut-off Frequency given Transconductance and Capacitance calculation can be explained with given input values -> 30.02923 = 0.05/(2*pi*0.000265).

FAQ

What is Cut-off Frequency given Transconductance and Capacitance?

The Cut-off Frequency 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 f_co = g_m/(2*pi*C_gs) or Cut-off Frequency = Transconductance/(2*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 Cut-off Frequency given Transconductance and Capacitance?

The Cut-off Frequency 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 Source Capacitance). To calculate Cut-off Frequency given Transconductance and Capacitance, 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 Cut-off Frequency?

In this formula, Cut-off Frequency uses Transconductance & Gate 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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