## Cut-off Frequency using Maximum Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cut-off Frequency = (2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance)))
fco = (2*fm)/(sqrt(Rd/(Rs+Rg+Ri)))
This formula uses 1 Functions, 6 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
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.
Maximum Frequency of Oscillations - (Measured in Hertz) - Maximum Frequency of Oscillations is defined as the practical upper bound for useful circuit operation with MESFET.
Drain Resistance - (Measured in Ohm) - Drain Resistance is the ratio of change in drain to source voltage to corresponding change in drain current for a constant gate to source voltage.
Source Resistance - (Measured in Ohm) - Source Resistance is a measure of how much this source opposes the load from drawing current from it.
Gate Metallization Resistance - (Measured in Ohm) - Gate Metallization Resistance is defined as the resistance of metallization of a FET gate stripe that has effect of placing a non-linear resistance in series with the gate junction.
Input Resistance - (Measured in Ohm) - Input Resistance is defined as the total internal resistance as experienced by MESFET.
STEP 1: Convert Input(s) to Base Unit
Maximum Frequency of Oscillations: 65 Hertz --> 65 Hertz No Conversion Required
Drain Resistance: 450 Ohm --> 450 Ohm No Conversion Required
Source Resistance: 5.75 Ohm --> 5.75 Ohm No Conversion Required
Gate Metallization Resistance: 2.8 Ohm --> 2.8 Ohm No Conversion Required
Input Resistance: 15.5 Ohm --> 15.5 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fco = (2*fm)/(sqrt(Rd/(Rs+Rg+Ri))) --> (2*65)/(sqrt(450/(5.75+2.8+15.5)))
Evaluating ... ...
fco = 30.0534708662928
STEP 3: Convert Result to Output's Unit
30.0534708662928 Hertz --> No Conversion Required
30.0534708662928 30.05347 Hertz <-- Cut-off Frequency
(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
Gate Length of MESFET
Gate Length = Saturated Drift Velocity/(4*pi*Cut-off Frequency)
Cut-off Frequency
Cut-off Frequency = Saturated Drift Velocity/(4*pi*Gate Length)

## Cut-off Frequency using Maximum Frequency Formula

Cut-off Frequency = (2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance)))
fco = (2*fm)/(sqrt(Rd/(Rs+Rg+Ri)))

## What is significance of High Frequency response of MESFET?

The maximum frequency of oscillation is a parameter that characterizes The high-frequency performance of the MESFET represents the frequency at which the device's intrinsic feedback capacitances and resistances limit its performance. The output resistance, on the other hand, represents the resistance seen by the MESFET's drain terminal when it is operating as an amplifier.

## How to Calculate Cut-off Frequency using Maximum Frequency?

Cut-off Frequency using Maximum Frequency calculator uses Cut-off Frequency = (2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance))) to calculate the Cut-off Frequency, The Cut-off Frequency using Maximum Frequency formula is defined 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 using Maximum Frequency using this online calculator? To use this online calculator for Cut-off Frequency using Maximum Frequency, enter Maximum Frequency of Oscillations (fm), Drain Resistance (Rd), Source Resistance (Rs), Gate Metallization Resistance (Rg) & Input Resistance (Ri) and hit the calculate button. Here is how the Cut-off Frequency using Maximum Frequency calculation can be explained with given input values -> 30.05347 = (2*65)/(sqrt(450/(5.75+2.8+15.5))).

### FAQ

What is Cut-off Frequency using Maximum Frequency?
The Cut-off Frequency using Maximum Frequency formula is defined 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 = (2*fm)/(sqrt(Rd/(Rs+Rg+Ri))) or Cut-off Frequency = (2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance))). Maximum Frequency of Oscillations is defined as the practical upper bound for useful circuit operation with MESFET, Drain Resistance is the ratio of change in drain to source voltage to corresponding change in drain current for a constant gate to source voltage, Source Resistance is a measure of how much this source opposes the load from drawing current from it, Gate Metallization Resistance is defined as the resistance of metallization of a FET gate stripe that has effect of placing a non-linear resistance in series with the gate junction & Input Resistance is defined as the total internal resistance as experienced by MESFET.
How to calculate Cut-off Frequency using Maximum Frequency?
The Cut-off Frequency using Maximum Frequency formula is defined 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 = (2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance))). To calculate Cut-off Frequency using Maximum Frequency, you need Maximum Frequency of Oscillations (fm), Drain Resistance (Rd), Source Resistance (Rs), Gate Metallization Resistance (Rg) & Input Resistance (Ri). With our tool, you need to enter the respective value for Maximum Frequency of Oscillations, Drain Resistance, Source Resistance, Gate Metallization Resistance & Input Resistance 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 Maximum Frequency of Oscillations, Drain Resistance, Source Resistance, Gate Metallization Resistance & Input Resistance. 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 = Transconductance/(2*pi*Gate Source Capacitance)
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