Input Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Input Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization Resistance+Source Resistance)
Ri = ((Rd*fco^2)/(4*fm^2))-(Rg+Rs)
This formula uses 6 Variables
Variables Used
Input Resistance - (Measured in Ohm) - Input Resistance is defined as the total internal resistance as experienced by 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.
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.
Source Resistance - (Measured in Ohm) - Source Resistance is a measure of how much this source opposes the load from drawing current from it.
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
Source Resistance: 5.75 Ohm --> 5.75 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ri = ((Rd*fco^2)/(4*fm^2))-(Rg+Rs) --> ((450*30.05^2)/(4*65^2))-(2.8+5.75)
Evaluating ... ...
Ri = 15.4944452662722
STEP 3: Convert Result to Output's Unit
15.4944452662722 Ohm --> No Conversion Required
FINAL ANSWER
15.4944452662722 15.49445 Ohm <-- Input Resistance
(Calculation completed in 00.004 seconds)

Credits

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Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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MESFET Characteristics Calculators

Gate Source Capacitance
​ LaTeX ​ Go Gate Source Capacitance = Transconductance/(2*pi*Cut-off Frequency)
Transconductance in MESFET
​ LaTeX ​ Go Transconductance = 2*Gate Source Capacitance*pi*Cut-off Frequency
Gate Length of MESFET
​ LaTeX ​ Go Gate Length = Saturated Drift Velocity/(4*pi*Cut-off Frequency)
Cut-off Frequency
​ LaTeX ​ Go Cut-off Frequency = Saturated Drift Velocity/(4*pi*Gate Length)

Input Resistance Formula

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

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 Input Resistance?

Input Resistance calculator uses Input Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization Resistance+Source Resistance) to calculate the Input Resistance, The Input Resistance formula is defined as the total internal resistance as experienced by MESFET. Input Resistance is denoted by Ri symbol.

How to calculate Input Resistance using this online calculator? To use this online calculator for Input Resistance, enter Drain Resistance (Rd), Cut-off Frequency (fco), Maximum Frequency of Oscillations (fm), Gate Metallization Resistance (Rg) & Source Resistance (Rs) and hit the calculate button. Here is how the Input Resistance calculation can be explained with given input values -> 15.49445 = ((450*30.05^2)/(4*65^2))-(2.8+5.75).

FAQ

What is Input Resistance?
The Input Resistance formula is defined as the total internal resistance as experienced by MESFET and is represented as Ri = ((Rd*fco^2)/(4*fm^2))-(Rg+Rs) or Input Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization Resistance+Source 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 & Source Resistance is a measure of how much this source opposes the load from drawing current from it.
How to calculate Input Resistance?
The Input Resistance formula is defined as the total internal resistance as experienced by MESFET is calculated using Input Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization Resistance+Source Resistance). To calculate Input Resistance, you need Drain Resistance (Rd), Cut-off Frequency (fco), Maximum Frequency of Oscillations (fm), Gate Metallization Resistance (Rg) & Source Resistance (Rs). With our tool, you need to enter the respective value for Drain Resistance, Cut-off Frequency, Maximum Frequency of Oscillations, Gate Metallization Resistance & Source 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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