Maximum Operating Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Operating Frequency = MESFET Cutoff Frequency/2*sqrt(Drain Resistance/(Source Resistance+Input Resistance+Gate Metallization Resistance))
fmax = fco/2*sqrt(Rd/(Rs+Ri+Rg))
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
Maximum Operating Frequency - (Measured in Hertz) - Maximum Operating Frequency refers to the highest frequency at which the device can reliably operate and perform its intended functions.
MESFET Cutoff Frequency - (Measured in Hertz) - MESFET Cutoff Frequency represents the frequency at which the transistor's current gain (or transconductance) begins to decrease significantly.
Drain Resistance - (Measured in Ohm) - Drain Resistance is the equivalent resistance seen by the drain terminal of a FET.
Source Resistance - (Measured in Ohm) - Source Resistance refers to the resistance associated with the source terminal of the transistor.
Input Resistance - (Measured in Ohm) - Input Resistance refers to the resistance presented to the input terminal of the device.
Gate Metallization Resistance - (Measured in Ohm) - Gate Metallization Resistance is the resistance associated with the metal contact or metallization layer at the gate terminal of a MESFET.
STEP 1: Convert Input(s) to Base Unit
MESFET Cutoff Frequency: 6252.516 Hertz --> 6252.516 Hertz No Conversion Required
Drain Resistance: 3.2 Ohm --> 3.2 Ohm No Conversion Required
Source Resistance: 5 Ohm --> 5 Ohm No Conversion Required
Input Resistance: 4 Ohm --> 4 Ohm No Conversion Required
Gate Metallization Resistance: 5.254 Ohm --> 5.254 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fmax = fco/2*sqrt(Rd/(Rs+Ri+Rg)) --> 6252.516/2*sqrt(3.2/(5+4+5.254))
Evaluating ... ...
fmax = 1481.26045269158
STEP 3: Convert Result to Output's Unit
1481.26045269158 Hertz --> No Conversion Required
FINAL ANSWER
1481.26045269158 1481.26 Hertz <-- Maximum Operating Frequency
(Calculation completed in 00.020 seconds)

Credits

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Created by banuprakash
Dayananda Sagar College of Engineering (DSCE), Bangalore
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Verified by Dipanjona Mallick
Heritage Insitute of technology (HITK), Kolkata
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Transistor Amplifiers Calculators

Maximum Operating Frequency
​ LaTeX ​ Go Maximum Operating Frequency = MESFET Cutoff Frequency/2*sqrt(Drain Resistance/(Source Resistance+Input Resistance+Gate Metallization Resistance))
Transconductance in Saturation Region in MESFET
​ LaTeX ​ Go Transconductance of the MESFET = Output Conductance*(1-sqrt((Input Voltage-Threshold Voltage)/Pinch-off Voltage))
MESFET Cutoff Frequency
​ LaTeX ​ Go MESFET Cutoff Frequency = Transconductance of the MESFET/(2*pi*Gate Source Capacitance)
Maximum Frequency of Oscillation
​ LaTeX ​ Go Maximum Frequency of Oscillation = Saturation Velocity/(2*pi*Channel Length)

Maximum Operating Frequency Formula

​LaTeX ​Go
Maximum Operating Frequency = MESFET Cutoff Frequency/2*sqrt(Drain Resistance/(Source Resistance+Input Resistance+Gate Metallization Resistance))
fmax = fco/2*sqrt(Rd/(Rs+Ri+Rg))

How Does Device Geometry Affect Maximum Operating Frequency?

The physical dimensions and geometry of a device, such as the gate length in a transistor, can impact the maximum operating frequency. Smaller geometries often allow for faster switching times, leading to higher maximum operating frequencies.

How to Calculate Maximum Operating Frequency?

Maximum Operating Frequency calculator uses Maximum Operating Frequency = MESFET Cutoff Frequency/2*sqrt(Drain Resistance/(Source Resistance+Input Resistance+Gate Metallization Resistance)) to calculate the Maximum Operating Frequency, The Maximum Operating Frequency formula is defined as the highest frequency at which the device can reliably operate and perform its intended functions. Maximum Operating Frequency is denoted by fmax symbol.

How to calculate Maximum Operating Frequency using this online calculator? To use this online calculator for Maximum Operating Frequency, enter MESFET Cutoff Frequency (fco), Drain Resistance (Rd), Source Resistance (Rs), Input Resistance (Ri) & Gate Metallization Resistance (Rg) and hit the calculate button. Here is how the Maximum Operating Frequency calculation can be explained with given input values -> 1494.637 = 6252.516/2*sqrt(3.2/(5+4+5.254)).

FAQ

What is Maximum Operating Frequency?
The Maximum Operating Frequency formula is defined as the highest frequency at which the device can reliably operate and perform its intended functions and is represented as fmax = fco/2*sqrt(Rd/(Rs+Ri+Rg)) or Maximum Operating Frequency = MESFET Cutoff Frequency/2*sqrt(Drain Resistance/(Source Resistance+Input Resistance+Gate Metallization Resistance)). MESFET Cutoff Frequency represents the frequency at which the transistor's current gain (or transconductance) begins to decrease significantly, Drain Resistance is the equivalent resistance seen by the drain terminal of a FET, Source Resistance refers to the resistance associated with the source terminal of the transistor, Input Resistance refers to the resistance presented to the input terminal of the device & Gate Metallization Resistance is the resistance associated with the metal contact or metallization layer at the gate terminal of a MESFET.
How to calculate Maximum Operating Frequency?
The Maximum Operating Frequency formula is defined as the highest frequency at which the device can reliably operate and perform its intended functions is calculated using Maximum Operating Frequency = MESFET Cutoff Frequency/2*sqrt(Drain Resistance/(Source Resistance+Input Resistance+Gate Metallization Resistance)). To calculate Maximum Operating Frequency, you need MESFET Cutoff Frequency (fco), Drain Resistance (Rd), Source Resistance (Rs), Input Resistance (Ri) & Gate Metallization Resistance (Rg). With our tool, you need to enter the respective value for MESFET Cutoff Frequency, Drain Resistance, Source Resistance, Input Resistance & Gate Metallization Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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