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Cut-off Frequency Formula

GoCut-off Frequency given Transconductance and Capacitance Formula

GoCut-off Frequency using Maximum Frequency 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{V s}{4 \cdot π \cdot L gate}

f_co - Cut-off Frequency?V_s - Saturated Drift Velocity?L_gate - Gate Length?π - Archimedes' constant?

Cut-off Frequency Example

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

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

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

30.0519 = \frac{5}{4 \cdot 3.1416 \cdot 13.24}

30.0519Hz = \frac{5mm/s}{4 \cdot 3.1416 \cdot 13.24μm}

30.0519 = \frac{5}{4 \cdot 3.1416 \cdot 13.24}

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Cut-off Frequency Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f co = \frac{5mm/s}{4 \cdot π \cdot 13.24μm}

Next Step Substitute values of Constants

∴

f co = \frac{5mm/s}{4 \cdot 3.1416 \cdot 13.24μm}

Next Step Convert Units

∴

f co = \frac{0.005m/s}{4 \cdot 3.1416 \cdot 1.3E-5m}

Next Step Prepare to Evaluate

∴

f co = \frac{0.005}{4 \cdot 3.1416 \cdot 1.3E-5}

Next Step Evaluate

∴

f co = 30.0519152363851Hz

LAST Step Rounding Answer

∴

f co = 30.0519Hz

Cut-off Frequency Formula Elements

Variables

Constants

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

Saturated Drift Velocity

Saturated Drift Velocity is the maximum velocity that can travel in a charge carrier of a semiconductor.

Symbol: V_s

Measurement: SpeedUnit: mm/s

Note: Value should be greater than 0.

Formulas to find Saturated Drift Velocity

Gate Length

Gate Length is defined the distance between the source and the drain electrodes along the direction perpendicular to the plane of the semiconductor material, and parallel to the gate electrode.

Symbol: L_gate

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Gate Length

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Cut-off Frequency

Go Cut-off Frequency given Transconductance and Capacitance

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

Go Cut-off Frequency using Maximum Frequency

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

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?

Cut-off Frequency evaluator uses Cut-off Frequency = Saturated Drift Velocity/(4*pi*Gate Length) to evaluate the Cut-off Frequency, The Cut-off frequency MESFET formula is defined as a cutoff frequency, corner frequency, or break frequency is a boundary in a system's frequency response at which energy flowing through the system begins to be reduced rather than passing through. Cut-off Frequency is denoted by f_co symbol.

How to evaluate Cut-off Frequency using this online evaluator? To use this online evaluator for Cut-off Frequency, enter Saturated Drift Velocity (V_s) & Gate Length (L_gate) and hit the calculate button.

FAQs on Cut-off Frequency

What is the formula to find Cut-off Frequency?

The formula of Cut-off Frequency is expressed as Cut-off Frequency = Saturated Drift Velocity/(4*pi*Gate Length). Here is an example- 30.05192 = 0.005/(4*pi*1.324E-05).

How to calculate Cut-off Frequency?

With Saturated Drift Velocity (V_s) & Gate Length (L_gate) we can find Cut-off Frequency using the formula - Cut-off Frequency = Saturated Drift Velocity/(4*pi*Gate Length). This formula also uses Archimedes' constant .

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

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

Cut-off Frequency=Transconductance/(2*pi*Gate Source Capacitance)
Cut-off Frequency=(2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance)))

Can the Cut-off Frequency be negative?

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

Which unit is used to measure Cut-off Frequency?

Cut-off 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 can be measured.

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Cut-off Frequency Formula

​GoCut-off Frequency given Transconductance and Capacitance Formula

​GoCut-off Frequency using Maximum Frequency Formula

Cut-off Frequency Example

Cut-off Frequency Solution

Cut-off Frequency Formula Elements

Other Formulas to find Cut-off Frequency

Other formulas in MESFET Characteristics category

How to Evaluate Cut-off Frequency?

FAQs on Cut-off Frequency

Variable Name

GoCut-off Frequency given Transconductance and Capacitance Formula

GoCut-off Frequency using Maximum Frequency Formula