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Cut-off Frequency using Maximum Frequency Formula

GoCut-off Frequency Formula

GoCut-off Frequency given Transconductance and Capacitance Formula

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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. Check FAQs

f co = \frac{2 \cdot f m}{\sqrt{\frac{R d}{R s + R g + R i}}}

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

Cut-off Frequency using Maximum Frequency Example

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Here is how the Cut-off Frequency using Maximum Frequency equation looks like with Values.

Here is how the Cut-off Frequency using Maximum Frequency equation looks like with Units.

Here is how the Cut-off Frequency using Maximum Frequency equation looks like.

30.0535 = \frac{2 \cdot 65}{\sqrt{\frac{450}{5.75 + 2.8 + 15.5}}}

30.0535Hz = \frac{2 \cdot 65Hz}{\sqrt{\frac{450Ω}{5.75Ω + 2.8Ω + 15.5Ω}}}

30.0535 = \frac{2 \cdot 65}{\sqrt{\frac{450}{5.75 + 2.8 + 15.5}}}

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Cut-off Frequency using Maximum Frequency Solution

Follow our step by step solution on how to calculate Cut-off Frequency using Maximum Frequency?

FIRST Step Consider the formula

f co = \frac{2 \cdot f m}{\sqrt{\frac{R d}{R s + R g + R i}}}

Next Step Substitute values of Variables

∴

f co = \frac{2 \cdot 65Hz}{\sqrt{\frac{450Ω}{5.75Ω + 2.8Ω + 15.5Ω}}}

Next Step Prepare to Evaluate

∴

f co = \frac{2 \cdot 65}{\sqrt{\frac{450}{5.75 + 2.8 + 15.5}}}

Next Step Evaluate

∴

f co = 30.0534708662928Hz

LAST Step Rounding Answer

∴

f co = 30.0535Hz

Cut-off Frequency using Maximum Frequency Formula Elements

Variables

Functions

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

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

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

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

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

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.

Syntax: sqrt(Number)

Other Formulas to find Cut-off Frequency

Go Cut-off Frequency

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

Go Cut-off Frequency given Transconductance and Capacitance

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

Other formulas in MESFET Characteristics category

Go Gate Length of MESFET

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

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}

Go Maximum Frequency of Oscillations in MESFET

f m = (\frac{f t}{2}) \cdot \sqrt{\frac{R d}{R g}}

How to Evaluate Cut-off Frequency using Maximum Frequency?

Cut-off Frequency using Maximum Frequency evaluator uses Cut-off Frequency = (2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance))) to evaluate the Cut-off Frequency, The Cut-off Frequency using Maximum Frequency formula is defined as the frequency at which the small-signal voltage gain of the device drops to 0.707 or -3 dB of its maximum value. Cut-off Frequency is denoted by f_co symbol.

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

FAQs on Cut-off Frequency using Maximum Frequency

What is the formula to find Cut-off Frequency using Maximum Frequency?

The formula of Cut-off Frequency using Maximum Frequency is expressed as Cut-off Frequency = (2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance))). Here is an example- 30.05347 = (2*65)/(sqrt(450/(5.75+2.8+15.5))).

How to calculate Cut-off Frequency using Maximum Frequency?

With Maximum Frequency of Oscillations (f_m), Drain Resistance (R_d), Source Resistance (R_s), Gate Metallization Resistance (R_g) & Input Resistance (R_i) we can find Cut-off Frequency using Maximum Frequency using the formula - Cut-off Frequency = (2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Cut-off Frequency?

Here are the different ways to Calculate Cut-off Frequency-

Cut-off Frequency=Saturated Drift Velocity/(4*pi*Gate Length)
Cut-off Frequency=Transconductance/(2*pi*Gate Source Capacitance)

Can the Cut-off Frequency using Maximum Frequency be negative?

No, the Cut-off Frequency using Maximum Frequency, measured in Frequency cannot be negative.

Which unit is used to measure Cut-off Frequency using Maximum Frequency?

Cut-off Frequency using Maximum Frequency is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Cut-off Frequency using Maximum Frequency can be measured.

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Cut-off Frequency using Maximum Frequency Formula

​GoCut-off Frequency Formula

​GoCut-off Frequency given Transconductance and Capacitance Formula

Cut-off Frequency using Maximum Frequency Example

Cut-off Frequency using Maximum Frequency Solution

Cut-off Frequency using Maximum Frequency Formula Elements

Other Formulas to find Cut-off Frequency

Other formulas in MESFET Characteristics category

How to Evaluate Cut-off Frequency using Maximum Frequency?

FAQs on Cut-off Frequency using Maximum Frequency

Variable Name

GoCut-off Frequency Formula

GoCut-off Frequency given Transconductance and Capacitance Formula