## Cut Off Frequency MESFET given Fmax and Resistance 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*Fmax)/(sqrt(Rd/(Rs+Rg+Ri)))
This formula uses 1 Functions, 6 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Cut-off Frequency - (Measured in Hertz) - Cut-off frequency of MESFET is a boundary in a system's frequency response at which energy flowing through the 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.
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 a purely resistive device can be experimentally determined by increasingly loading the device.
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 MESFET is defined as the total internal resistance as experienced by MESFET.
STEP 1: Convert Input(s) to Base Unit
Maximum Frequency of Oscillations: 5 Megahertz --> 5000000 Hertz (Check conversion here)
Drain Resistance: 450 Ohm --> 450 Ohm No Conversion Required
Source Resistance: 3600 Ohm --> 3600 Ohm No Conversion Required
Gate Metallization Resistance: 3.1 Ohm --> 3.1 Ohm No Conversion Required
Input Resistance: 447 Ohm --> 447 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fco = (2*Fmax)/(sqrt(Rd/(Rs+Rg+Ri))) --> (2*5000000)/(sqrt(450/(3600+3.1+447)))
Evaluating ... ...
Fco = 30000370.3680842
STEP 3: Convert Result to Output's Unit
30000370.3680842 Hertz -->30.0003703680842 Megahertz (Check conversion here)
30.0003703680842 Megahertz <-- Cut-off Frequency
(Calculation completed in 00.000 seconds)
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## Credits

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

## Cut Off Frequency MESFET given Fmax and Resistance Formula

Cut-off Frequency = (2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance)))
Fco = (2*Fmax)/(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 MESFET given Fmax and Resistance?

Cut Off Frequency MESFET given Fmax and Resistance 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 MESFET given Fmax and Resistance 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 MESFET given Fmax and Resistance using this online calculator? To use this online calculator for Cut Off Frequency MESFET given Fmax and Resistance, enter Maximum Frequency of Oscillations (Fmax), 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 MESFET given Fmax and Resistance calculation can be explained with given input values -> 30.00037 = (2*5000000)/(sqrt(450/(3600+3.1+447))).

### FAQ

What is Cut Off Frequency MESFET given Fmax and Resistance?
The Cut Off Frequency MESFET given Fmax and Resistance 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*Fmax)/(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, 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 a purely resistive device can be experimentally determined by increasingly loading the device, 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 MESFET is defined as the total internal resistance as experienced by MESFET.
How to calculate Cut Off Frequency MESFET given Fmax and Resistance?
The Cut Off Frequency MESFET given Fmax and Resistance 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 MESFET given Fmax and Resistance, you need Maximum Frequency of Oscillations (Fmax), 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 to Source Capacitance)
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