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Maximum Frequency of Oscillation given Transconductance Formula

GoMaximum Frequency of Oscillations in MESFET Formula

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

f m = \frac{g m}{π \cdot C gs}

f_m - Maximum Frequency of Oscillations?g_m - Transconductance?C_gs - Gate Source Capacitance?π - Archimedes' constant?

Maximum Frequency of Oscillation given Transconductance Example

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Here is how the Maximum Frequency of Oscillation given Transconductance equation looks like with Values.

Here is how the Maximum Frequency of Oscillation given Transconductance equation looks like with Units.

Here is how the Maximum Frequency of Oscillation given Transconductance equation looks like.

60.0585 = \frac{0.05}{3.1416 \cdot 265}

60.0585Hz = \frac{0.05S}{3.1416 \cdot 265μF}

60.0585 = \frac{0.05}{3.1416 \cdot 265}

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Maximum Frequency of Oscillation given Transconductance Solution

Follow our step by step solution on how to calculate Maximum Frequency of Oscillation given Transconductance?

FIRST Step Consider the formula

f m = \frac{g m}{π \cdot C gs}

Next Step Substitute values of Variables

∴

f m = \frac{0.05S}{π \cdot 265μF}

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

f m = \frac{0.05}{3.1416 \cdot 0.0003}

Next Step Evaluate

∴

f m = 60.0584690912813Hz

LAST Step Rounding Answer

∴

f m = 60.0585Hz

Maximum Frequency of Oscillation given Transconductance Formula Elements

Variables

Constants

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

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 Maximum Frequency of Oscillations

Go Maximum Frequency of Oscillations in MESFET

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

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 Maximum Frequency of Oscillation given Transconductance?

Maximum Frequency of Oscillation given Transconductance evaluator uses Maximum Frequency of Oscillations = Transconductance/(pi*Gate Source Capacitance) to evaluate the Maximum Frequency of Oscillations, The Maximum Frequency of Oscillation given Transconductance formula is defined as the highest frequency at which the device can oscillate when biased in its linear region of operation. It is also known as the unity-gain frequency or the frequency at which the device's small-signal voltage gain drops to unity. Maximum Frequency of Oscillations is denoted by f_m symbol.

How to evaluate Maximum Frequency of Oscillation given Transconductance using this online evaluator? To use this online evaluator for Maximum Frequency of Oscillation given Transconductance, enter Transconductance (g_m) & Gate Source Capacitance (C_gs) and hit the calculate button.

FAQs on Maximum Frequency of Oscillation given Transconductance

What is the formula to find Maximum Frequency of Oscillation given Transconductance?

The formula of Maximum Frequency of Oscillation given Transconductance is expressed as Maximum Frequency of Oscillations = Transconductance/(pi*Gate Source Capacitance). Here is an example- 60.05847 = 0.05/(pi*0.000265).

How to calculate Maximum Frequency of Oscillation given Transconductance?

With Transconductance (g_m) & Gate Source Capacitance (C_gs) we can find Maximum Frequency of Oscillation given Transconductance using the formula - Maximum Frequency of Oscillations = Transconductance/(pi*Gate Source Capacitance). This formula also uses Archimedes' constant .

What are the other ways to Calculate Maximum Frequency of Oscillations?

Here are the different ways to Calculate Maximum Frequency of Oscillations-

Maximum Frequency of Oscillations=(Unity Gain Frequency/2)*sqrt(Drain Resistance/Gate Metallization Resistance)

Can the Maximum Frequency of Oscillation given Transconductance be negative?

No, the Maximum Frequency of Oscillation given Transconductance, measured in Frequency cannot be negative.

Which unit is used to measure Maximum Frequency of Oscillation given Transconductance?

Maximum Frequency of Oscillation given Transconductance is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Maximum Frequency of Oscillation given Transconductance can be measured.

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