Gate Source Capacitance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gate Source Capacitance = Transconductance/(2*pi*Cut-off Frequency)
Cgs = gm/(2*pi*fco)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Gate Source Capacitance - (Measured in Farad) - Gate Source Capacitance is a parasitic capacitance that exists between the gate and source terminals of a MESFET or other types of transistors.
Transconductance - (Measured in Siemens) - 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.
Cut-off Frequency - (Measured in Hertz) - 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.
STEP 1: Convert Input(s) to Base Unit
Transconductance: 0.05 Siemens --> 0.05 Siemens No Conversion Required
Cut-off Frequency: 30.05 Hertz --> 30.05 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cgs = gm/(2*pi*fco) --> 0.05/(2*pi*30.05)
Evaluating ... ...
Cgs = 0.000264816877024784
STEP 3: Convert Result to Output's Unit
0.000264816877024784 Farad -->264.816877024784 Microfarad (Check conversion ​here)
FINAL ANSWER
264.816877024784 264.8169 Microfarad <-- Gate Source Capacitance
(Calculation completed in 00.020 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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MESFET Characteristics Calculators

Gate Source Capacitance
​ LaTeX ​ Go Gate Source Capacitance = Transconductance/(2*pi*Cut-off Frequency)
Transconductance in MESFET
​ LaTeX ​ Go Transconductance = 2*Gate Source Capacitance*pi*Cut-off Frequency
Gate Length of MESFET
​ LaTeX ​ Go Gate Length = Saturated Drift Velocity/(4*pi*Cut-off Frequency)
Cut-off Frequency
​ LaTeX ​ Go Cut-off Frequency = Saturated Drift Velocity/(4*pi*Gate Length)

Gate Source Capacitance Formula

​LaTeX ​Go
Gate Source Capacitance = Transconductance/(2*pi*Cut-off Frequency)
Cgs = gm/(2*pi*fco)

What are the applications of MESFET?

MESFETs offer advantages such as high gain, high speed, low noise, and low power consumption, making them suitable for various applications in electronics, telecommunications, and biomedical fields.

How to Calculate Gate Source Capacitance?

Gate Source Capacitance calculator uses Gate Source Capacitance = Transconductance/(2*pi*Cut-off Frequency) to calculate 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 Cgs symbol.

How to calculate Gate Source Capacitance using this online calculator? To use this online calculator for Gate Source Capacitance, enter Transconductance (gm) & Cut-off Frequency (fco) and hit the calculate button. Here is how the Gate Source Capacitance calculation can be explained with given input values -> 2.6E+8 = 0.05/(2*pi*30.05).

FAQ

What is 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 and is represented as Cgs = gm/(2*pi*fco) or Gate Source Capacitance = Transconductance/(2*pi*Cut-off Frequency). 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 & 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.
How to calculate 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 is calculated using Gate Source Capacitance = Transconductance/(2*pi*Cut-off Frequency). To calculate Gate Source Capacitance, you need Transconductance (gm) & Cut-off Frequency (fco). With our tool, you need to enter the respective value for Transconductance & Cut-off Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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