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Gate Source Capacitance Formula

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

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

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

Gate Source Capacitance Example

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Here is how the Gate Source Capacitance equation looks like with Values.

Here is how the Gate Source Capacitance equation looks like with Units.

Here is how the Gate Source Capacitance equation looks like.

264.8169 = \frac{0.05}{2 \cdot 3.1416 \cdot 30.05}

264.8169μF = \frac{0.05S}{2 \cdot 3.1416 \cdot 30.05Hz}

264.8169 = \frac{0.05}{2 \cdot 3.1416 \cdot 30.05}

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Gate Source Capacitance Solution

Follow our step by step solution on how to calculate Gate Source Capacitance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C gs = \frac{0.05S}{2 \cdot π \cdot 30.05Hz}

Next Step Substitute values of Constants

∴

C gs = \frac{0.05S}{2 \cdot 3.1416 \cdot 30.05Hz}

Next Step Prepare to Evaluate

∴

C gs = \frac{0.05}{2 \cdot 3.1416 \cdot 30.05}

Next Step Evaluate

∴

C gs = 0.000264816877024784F

Next Step Convert to Output's Unit

∴

C gs = 264.816877024784μF

LAST Step Rounding Answer

∴

C gs = 264.8169μF

Gate Source Capacitance Formula Elements

Variables

Constants

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

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

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

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 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 Maximum Frequency of Oscillations in MESFET

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

How to Evaluate Gate Source Capacitance?

Gate Source Capacitance evaluator uses Gate Source Capacitance = Transconductance/(2*pi*Cut-off Frequency) to evaluate the Gate Source Capacitance, The Gate Source Capacitance formula is defined as a parasitic capacitance that exists between the gate and source terminals of a MESFET or other types of transistors. It represents the amount of charge that can be stored in the gate-source region of the device per unit voltage applied between the terminals. Gate Source Capacitance is denoted by C_gs symbol.

How to evaluate Gate Source Capacitance using this online evaluator? To use this online evaluator for Gate Source Capacitance, enter Transconductance (g_m) & Cut-off Frequency (f_co) and hit the calculate button.

FAQs on Gate Source Capacitance

What is the formula to find Gate Source Capacitance?

The formula of Gate Source Capacitance is expressed as Gate Source Capacitance = Transconductance/(2*pi*Cut-off Frequency). Here is an example- 2.6E+8 = 0.05/(2*pi*30.05).

How to calculate Gate Source Capacitance?

With Transconductance (g_m) & Cut-off Frequency (f_co) we can find Gate Source Capacitance using the formula - Gate Source Capacitance = Transconductance/(2*pi*Cut-off Frequency). This formula also uses Archimedes' constant .

Can the Gate Source Capacitance be negative?

No, the Gate Source Capacitance, measured in Capacitance cannot be negative.

Which unit is used to measure Gate Source Capacitance?

Gate Source Capacitance is usually measured using the Microfarad[μF] for Capacitance. Farad[μF], Kilofarad[μF], Millifarad[μF] are the few other units in which Gate Source Capacitance can be measured.

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