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Cut-off Frequency given Transconductance and Capacitance Formula

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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{g m}{2 \cdot π \cdot C gs}

f_co - Cut-off Frequency?g_m - Transconductance?C_gs - Gate Source Capacitance?π - Archimedes' constant?

Cut-off Frequency given Transconductance and Capacitance Example

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Here is how the Cut-off Frequency given Transconductance and Capacitance equation looks like with Values.

Here is how the Cut-off Frequency given Transconductance and Capacitance equation looks like with Units.

Here is how the Cut-off Frequency given Transconductance and Capacitance equation looks like.

30.0292 = \frac{0.05}{2 \cdot 3.1416 \cdot 265}

30.0292Hz = \frac{0.05S}{2 \cdot 3.1416 \cdot 265μF}

30.0292 = \frac{0.05}{2 \cdot 3.1416 \cdot 265}

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Cut-off Frequency given Transconductance and Capacitance Solution

Follow our step by step solution on how to calculate Cut-off Frequency given Transconductance and Capacitance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f co = \frac{0.05S}{2 \cdot π \cdot 265μF}

Next Step Substitute values of Constants

∴

f co = \frac{0.05S}{2 \cdot 3.1416 \cdot 265μF}

Next Step Convert Units

∴

f co = \frac{0.05S}{2 \cdot 3.1416 \cdot 0.0003F}

Next Step Prepare to Evaluate

∴

f co = \frac{0.05}{2 \cdot 3.1416 \cdot 0.0003}

Next Step Evaluate

∴

f co = 30.0292345456406Hz

LAST Step Rounding Answer

∴

f co = 30.0292Hz

Cut-off Frequency given Transconductance and Capacitance 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

Transconductance

Transconductance is defined as the ratio of the change in drain current to the change in gate-source voltage, assuming a constant drain-source voltage.

Symbol: g_m

Measurement: TransconductanceUnit: S

Note: Value can be positive or negative.

Formulas to find Transconductance

Gate Source Capacitance

Gate Source Capacitance is a parasitic capacitance that exists between the gate and source terminals of a MESFET or other types of transistors.

Symbol: C_gs

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Gate Source Capacitance

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

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

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 given Transconductance and Capacitance?

Cut-off Frequency given Transconductance and Capacitance evaluator uses Cut-off Frequency = Transconductance/(2*pi*Gate Source Capacitance) to evaluate the Cut-off Frequency, The Cut-off Frequency given Transconductance and Capacitance formula is defined as 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 given Transconductance and Capacitance using this online evaluator? To use this online evaluator for Cut-off Frequency given Transconductance and Capacitance, enter Transconductance (g_m) & Gate Source Capacitance (C_gs) and hit the calculate button.

FAQs on Cut-off Frequency given Transconductance and Capacitance

What is the formula to find Cut-off Frequency given Transconductance and Capacitance?

The formula of Cut-off Frequency given Transconductance and Capacitance is expressed as Cut-off Frequency = Transconductance/(2*pi*Gate Source Capacitance). Here is an example- 30.02923 = 0.05/(2*pi*0.000265).

How to calculate Cut-off Frequency given Transconductance and Capacitance?

With Transconductance (g_m) & Gate Source Capacitance (C_gs) we can find Cut-off Frequency given Transconductance and Capacitance using the formula - Cut-off Frequency = Transconductance/(2*pi*Gate Source Capacitance). 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=Saturated Drift Velocity/(4*pi*Gate Length)
Cut-off Frequency=(2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance)))

Can the Cut-off Frequency given Transconductance and Capacitance be negative?

No, the Cut-off Frequency given Transconductance and Capacitance, measured in Frequency cannot be negative.

Which unit is used to measure Cut-off Frequency given Transconductance and Capacitance?

Cut-off Frequency given Transconductance and Capacitance 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 given Transconductance and Capacitance can be measured.

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