Voltage across Gate and Source of MOSFET given Input Current Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gate-Source Voltage = Input Current/(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance))
Vgs = Iin/(ω*(Csg+Cgd))
This formula uses 5 Variables
Variables Used
Gate-Source Voltage - (Measured in Volt) - Gate-source voltage is a critical parameter that affects the operation of an FET, and it is often used to control the device's behavior.
Input Current - (Measured in Ampere) - Input current can refer to the electric current that is flowing into an electrical device or circuit. This current can be AC or DC depending on the device and the power source.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency of wave refers to the angular displacement per unit time. It is a scalar measure of rotation rate.
Source Gate Capacitance - (Measured in Farad) - The source gate capacitance is a measure of the capacitance between the source and gate electrodes in a field-effect transistor (FET).
Gate-Drain Capacitance - (Measured in Farad) - Gate-drain capacitance is a parasitic capacitance that exists between the gate and drain electrodes of a field-effect transistor (FET).
STEP 1: Convert Input(s) to Base Unit
Input Current: 2 Milliampere --> 0.002 Ampere (Check conversion ​here)
Angular Frequency: 33 Radian per Second --> 33 Radian per Second No Conversion Required
Source Gate Capacitance: 8.16 Microfarad --> 8.16E-06 Farad (Check conversion ​here)
Gate-Drain Capacitance: 7 Microfarad --> 7E-06 Farad (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vgs = Iin/(ω*(Csg+Cgd)) --> 0.002/(33*(8.16E-06+7E-06))
Evaluating ... ...
Vgs = 3.99776125369793
STEP 3: Convert Result to Output's Unit
3.99776125369793 Volt --> No Conversion Required
FINAL ANSWER
3.99776125369793 3.997761 Volt <-- Gate-Source Voltage
(Calculation completed in 00.020 seconds)

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Output Voltage at Drain Q2 of MOSFET
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Voltage across Gate and Source of MOSFET given Input Current Formula

​LaTeX ​Go
Gate-Source Voltage = Input Current/(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance))
Vgs = Iin/(ω*(Csg+Cgd))

What is MOSFET and how it works?

In general, the MOSFET works as a switch, the MOSFET controls the voltage and current flow between the source and drain. The working of the MOSFET depends on the MOS capacitor, which is the semiconductor surface below the oxide layers between the source and drain terminal.

How to Calculate Voltage across Gate and Source of MOSFET given Input Current?

Voltage across Gate and Source of MOSFET given Input Current calculator uses Gate-Source Voltage = Input Current/(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance)) to calculate the Gate-Source Voltage, The Voltage across gate and source of MOSFET given input current formula is defined as the voltage between the gate and source that is needed to turn on the MOSFET. in other words, if it is at least as high as the threshold voltage, the MOSFET turns on. Gate-Source Voltage is denoted by Vgs symbol.

How to calculate Voltage across Gate and Source of MOSFET given Input Current using this online calculator? To use this online calculator for Voltage across Gate and Source of MOSFET given Input Current, enter Input Current (Iin), Angular Frequency (ω), Source Gate Capacitance (Csg) & Gate-Drain Capacitance (Cgd) and hit the calculate button. Here is how the Voltage across Gate and Source of MOSFET given Input Current calculation can be explained with given input values -> 3.997761 = 0.002/(33*(8.16E-06+7E-06)).

FAQ

What is Voltage across Gate and Source of MOSFET given Input Current?
The Voltage across gate and source of MOSFET given input current formula is defined as the voltage between the gate and source that is needed to turn on the MOSFET. in other words, if it is at least as high as the threshold voltage, the MOSFET turns on and is represented as Vgs = Iin/(ω*(Csg+Cgd)) or Gate-Source Voltage = Input Current/(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance)). Input current can refer to the electric current that is flowing into an electrical device or circuit. This current can be AC or DC depending on the device and the power source, Angular Frequency of wave refers to the angular displacement per unit time. It is a scalar measure of rotation rate, The source gate capacitance is a measure of the capacitance between the source and gate electrodes in a field-effect transistor (FET) & Gate-drain capacitance is a parasitic capacitance that exists between the gate and drain electrodes of a field-effect transistor (FET).
How to calculate Voltage across Gate and Source of MOSFET given Input Current?
The Voltage across gate and source of MOSFET given input current formula is defined as the voltage between the gate and source that is needed to turn on the MOSFET. in other words, if it is at least as high as the threshold voltage, the MOSFET turns on is calculated using Gate-Source Voltage = Input Current/(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance)). To calculate Voltage across Gate and Source of MOSFET given Input Current, you need Input Current (Iin), Angular Frequency (ω), Source Gate Capacitance (Csg) & Gate-Drain Capacitance (Cgd). With our tool, you need to enter the respective value for Input Current, Angular Frequency, Source Gate Capacitance & Gate-Drain Capacitance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Gate-Source Voltage?
In this formula, Gate-Source Voltage uses Input Current, Angular Frequency, Source Gate Capacitance & Gate-Drain Capacitance. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Gate-Source Voltage = Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio))
  • Gate-Source Voltage = Threshold Voltage+1.4*Effective Voltage
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