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Input Resistance Formula

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Input Resistance is defined as the total internal resistance as experienced by MESFET. Check FAQs

R i = (\frac{R d \cdot {f co}^{2}}{4 \cdot {f m}^{2}}) - (R g + R s)

R_i - Input Resistance?R_d - Drain Resistance?f_co - Cut-off Frequency?f_m - Maximum Frequency of Oscillations?R_g - Gate Metallization Resistance?R_s - Source Resistance?

Input Resistance Example

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Here is how the Input Resistance equation looks like with Values.

Here is how the Input Resistance equation looks like with Units.

Here is how the Input Resistance equation looks like.

15.4944 = (\frac{450 \cdot {30.05}^{2}}{4 \cdot 65^{2}}) - (2.8 + 5.75)

15.4944Ω = (\frac{450Ω \cdot {30.05Hz}^{2}}{4 \cdot {65Hz}^{2}}) - (2.8Ω + 5.75Ω)

15.4944 = (\frac{450 \cdot {30.05}^{2}}{4 \cdot 65^{2}}) - (2.8 + 5.75)

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Input Resistance Solution

Follow our step by step solution on how to calculate Input Resistance?

FIRST Step Consider the formula

R i = (\frac{R d \cdot {f co}^{2}}{4 \cdot {f m}^{2}}) - (R g + R s)

Next Step Substitute values of Variables

∴

R i = (\frac{450Ω \cdot {30.05Hz}^{2}}{4 \cdot {65Hz}^{2}}) - (2.8Ω + 5.75Ω)

Next Step Prepare to Evaluate

∴

R i = (\frac{450 \cdot {30.05}^{2}}{4 \cdot 65^{2}}) - (2.8 + 5.75)

Next Step Evaluate

∴

R i = 15.4944452662722Ω

LAST Step Rounding Answer

∴

R i = 15.4944Ω

Input Resistance Formula Elements

Variables

Input Resistance

Input Resistance is defined as the total internal resistance as experienced by MESFET.

Symbol: R_i

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Input Resistance

Drain 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.

Symbol: R_d

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Drain Resistance

Cut-off Frequency

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.

Symbol: f_co

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Cut-off Frequency

Maximum Frequency of Oscillations

Maximum Frequency of Oscillations is defined as the practical upper bound for useful circuit operation with MESFET.

Symbol: f_m

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Maximum Frequency of Oscillations

Gate Metallization Resistance

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.

Symbol: R_g

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Gate Metallization Resistance

Source Resistance

Source Resistance is a measure of how much this source opposes the load from drawing current from it.

Symbol: R_s

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Source Resistance

Other formulas in MESFET Characteristics category

Go Gate Length of MESFET

L gate = \frac{V s}{4 \cdot π \cdot f co}

Go Cut-off Frequency

f co = \frac{V s}{4 \cdot π \cdot L gate}

Go Transconductance in MESFET

g m = 2 \cdot C gs \cdot π \cdot f co

Go Gate Source Capacitance

C gs = \frac{g m}{2 \cdot π \cdot f co}

How to Evaluate Input Resistance?

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

How to evaluate Input Resistance using this online evaluator? To use this online evaluator for Input Resistance, enter Drain Resistance (R_d), Cut-off Frequency (f_co), Maximum Frequency of Oscillations (f_m), Gate Metallization Resistance (R_g) & Source Resistance (R_s) and hit the calculate button.

FAQs on Input Resistance

What is the formula to find Input Resistance?

The formula of Input Resistance is expressed as Input Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization Resistance+Source Resistance). Here is an example- 15.49445 = ((450*30.05^2)/(4*65^2))-(2.8+5.75).

How to calculate Input Resistance?

With Drain Resistance (R_d), Cut-off Frequency (f_co), Maximum Frequency of Oscillations (f_m), Gate Metallization Resistance (R_g) & Source Resistance (R_s) we can find Input Resistance using the formula - Input Resistance = ((Drain Resistance*Cut-off Frequency^2)/(4*Maximum Frequency of Oscillations^2))-(Gate Metallization Resistance+Source Resistance).

Can the Input Resistance be negative?

No, the Input Resistance, measured in Electric Resistance cannot be negative.

Which unit is used to measure Input Resistance?

Input Resistance is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Input Resistance can be measured.

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Input Resistance Formula

Input Resistance Example

Input Resistance Solution

Input Resistance Formula Elements

Other formulas in MESFET Characteristics category

How to Evaluate Input Resistance?

FAQs on Input Resistance

Variable Name