Source Resistance Calculator

✖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.ⓘ Drain Resistance [R_d]			+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 [f_co]			+10% -10%
✖Maximum Frequency of Oscillations is defined as the practical upper bound for useful circuit operation with MESFET.ⓘ Maximum Frequency of Oscillations [f_m]			+10% -10%
✖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.ⓘ Gate Metallization Resistance [R_g]			+10% -10%
✖Input Resistance is defined as the total internal resistance as experienced by MESFET.ⓘ Input Resistance [R_i]			+10% -10%

✖Source Resistance is a measure of how much this source opposes the load from drawing current from it.ⓘ Source Resistance [R_s]

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Formula

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Source Resistance

Formula

`"R"_{"s"} = (("R"_{"d"}*"f"_{"co"}^2)/(4*"f"_{"m"}^2))-("R"_{"g"}+"R"_{"i"}) `

Example

`"5.744445Ω"=(("450Ω"*("30.05Hz")^2)/(4*("65Hz")^2))-("2.8Ω"+"15.5Ω") `

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Download MESFET Characteristics Formulas PDF

Source Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Source Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization Resistance+Input Resistance)
R_s = ((R_d*f_co^2)/(4*f_m^2))-(R_g+R_i)
This formula uses 6 Variables

Variables Used

Source Resistance - (Measured in Ohm) - Source Resistance is a measure of how much this source opposes the load from drawing current from it.
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.
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

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
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

R_s = ((R_d*f_co^2)/(4*f_m^2))-(R_g+R_i) --> ((450*30.05^2)/(4*65^2))-(2.8+15.5)

Evaluating ... ...

R_s = 5.74444526627219

STEP 3: Convert Result to Output's Unit

5.74444526627219 Ohm --> No Conversion Required

FINAL ANSWER

5.74444526627219 ≈ 5.744445 Ohm <-- Source Resistance

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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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)

Source Resistance Formula

Source Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization Resistance+Input Resistance)
R_s = ((R_d*f_co^2)/(4*f_m^2))-(R_g+R_i)

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 Source Resistance?

Source Resistance calculator uses Source Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization Resistance+Input Resistance) to calculate the Source Resistance, The Source Resistance formula is defined as a purely resistive device can be experimentally determined by increasingly loading the device. Source Resistance is denoted by R_s symbol.

How to calculate Source Resistance using this online calculator? To use this online calculator for Source Resistance, enter Drain Resistance (R_d), Cut-off Frequency (f_co), Maximum Frequency of Oscillations (f_m), Gate Metallization Resistance (R_g) & Input Resistance (R_i) and hit the calculate button. Here is how the Source Resistance calculation can be explained with given input values -> 5.744445 = ((450*30.05^2)/(4*65^2))-(2.8+15.5) .

FAQ

What is Source Resistance?

The Source Resistance formula is defined as a purely resistive device can be experimentally determined by increasingly loading the device and is represented as R_s = ((R_d*f_co^2)/(4*f_m^2))-(R_g+R_i) or Source Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization 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, 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 Source Resistance?

The Source Resistance formula is defined as a purely resistive device can be experimentally determined by increasingly loading the device is calculated using Source Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization Resistance+Input Resistance). To calculate Source Resistance, you need Drain Resistance (R_d), Cut-off Frequency (f_co), Maximum Frequency of Oscillations (f_m), Gate Metallization Resistance (R_g) & Input Resistance (R_i). With our tool, you need to enter the respective value for Drain Resistance, Cut-off Frequency, Maximum Frequency of Oscillations, 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.

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