Gate Metallization Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gate Metallization Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Source Resistance+Input Resistance)
Rg = ((Rd*fco^2)/(4*fm^2))-(Rs+Ri)
This formula uses 6 Variables
Variables Used
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.
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.
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.
Source Resistance - (Measured in Ohm) - Source Resistance is a measure of how much this source opposes the load from drawing current from it.
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
Drain Resistance: 450 Ohm --> 450 Ohm No Conversion Required
Cut-off Frequency: 30.05 Hertz --> 30.05 Hertz No Conversion Required
Maximum Frequency of Oscillations: 65 Hertz --> 65 Hertz No Conversion Required
Source Resistance: 5.75 Ohm --> 5.75 Ohm No Conversion Required
Input Resistance: 15.5 Ohm --> 15.5 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rg = ((Rd*fco^2)/(4*fm^2))-(Rs+Ri) --> ((450*30.05^2)/(4*65^2))-(5.75+15.5)
Evaluating ... ...
Rg = 2.79444526627219
STEP 3: Convert Result to Output's Unit
2.79444526627219 Ohm --> No Conversion Required
FINAL ANSWER
2.79444526627219 2.794445 Ohm <-- Gate Metallization Resistance
(Calculation completed in 00.019 seconds)

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

Gate Metallization Resistance Formula

Gate Metallization Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Source Resistance+Input Resistance)
Rg = ((Rd*fco^2)/(4*fm^2))-(Rs+Ri)

What is MESFET?

A MESFET (metal–semiconductor field-effect transistor) is a field-effect transistor semiconductor device similar to a JFET with a Schottky (metal–semiconductor) junction instead of a p–n junction for a gate.

How to Calculate Gate Metallization Resistance?

Gate Metallization Resistance calculator uses Gate Metallization Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Source Resistance+Input Resistance) to calculate the Gate Metallization Resistance, The Gate Metallization Resistance formula is defined as the resistance associated with the metal contacts that are deposited on top of the semiconductor material to form the gate electrode. Gate Metallization Resistance is denoted by Rg symbol.

How to calculate Gate Metallization Resistance using this online calculator? To use this online calculator for Gate Metallization Resistance, enter Drain Resistance (Rd), Cut-off Frequency (fco), Maximum Frequency of Oscillations (fm), Source Resistance (Rs) & Input Resistance (Ri) and hit the calculate button. Here is how the Gate Metallization Resistance calculation can be explained with given input values -> 2.794445 = ((450*30.05^2)/(4*65^2))-(5.75+15.5) .

FAQ

What is Gate Metallization Resistance?
The Gate Metallization Resistance formula is defined as the resistance associated with the metal contacts that are deposited on top of the semiconductor material to form the gate electrode and is represented as Rg = ((Rd*fco^2)/(4*fm^2))-(Rs+Ri) or Gate Metallization Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Source Resistance+Input Resistance). 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, 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 is defined as the practical upper bound for useful circuit operation with MESFET, Source Resistance is a measure of how much this source opposes the load from drawing current from it & Input Resistance is defined as the total internal resistance as experienced by MESFET.
How to calculate Gate Metallization Resistance?
The Gate Metallization Resistance formula is defined as the resistance associated with the metal contacts that are deposited on top of the semiconductor material to form the gate electrode is calculated using Gate Metallization Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Source Resistance+Input Resistance). To calculate Gate Metallization Resistance, you need Drain Resistance (Rd), Cut-off Frequency (fco), Maximum Frequency of Oscillations (fm), Source Resistance (Rs) & Input Resistance (Ri). With our tool, you need to enter the respective value for Drain Resistance, Cut-off Frequency, Maximum Frequency of Oscillations, Source Resistance & Input 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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