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 00.004 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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National Institute Of Technology (NIT), Hamirpur
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20 Voltage Calculators

Conductance of Channel of MOSFET using Gate to Source Voltage
Go Conductance of Channel = Mobility of Electrons at Surface of Channel*Oxide Capacitance*Channel Width/Channel Length*(Gate-Source Voltage-Threshold Voltage)
Common Gate Output Voltage
Go Output Voltage = -(Transconductance*Critical Voltage)*((Load Resistance*Gate Resistance)/(Gate Resistance+Load Resistance))
Output Voltage at Drain Q1 of MOSFET given Common-Mode Signal
Go Drain Voltage Q1 = -Output Resistance*(Transconductance*Common Mode Input Signal)/(1+(2*Transconductance*Output Resistance))
Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage
Go Gate-Source Voltage = Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio))
Source Input Voltage
Go Source Input Voltage = Input Voltage*(Input Amplifier Resistance/(Input Amplifier Resistance+Equivalent Source Resistance))
Input Gate-to-Source Voltage
Go Critical Voltage = (Input Amplifier Resistance/(Input Amplifier Resistance+Equivalent Source Resistance)) *Input Voltage
Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal
Go Drain Voltage Q2 = -(Output Resistance/((1/Transconductance)+2*Output Resistance))*Common Mode Input Signal
Voltage across Gate and Source of MOSFET given Input Current
Go Gate-Source Voltage = Input Current/(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance))
Positive Voltage given Device Parameter in MOSFET
Go Input Current = Gate-Source Voltage*(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance))
Overdrive Voltage when MOSFET Acts as Amplifier with Load Resistance
Go Transconductance = Total Current/(Common Mode Input Signal-(2*Total Current*Output Resistance))
Incremental Voltage Signal of Differential Amplifier
Go Common Mode Input Signal = (Total Current/Transconductance)+(2*Total Current*Output Resistance)
Voltage at Drain Q1 of MOSFET
Go Output Voltage = -(Total Load Resistance of MOSFET/(2*Output Resistance))*Common Mode Input Signal
Voltage at Drain Q2 in MOSFET
Go Output Voltage = -(Total Load Resistance of MOSFET/(2*Output Resistance))*Common Mode Input Signal
Saturation Voltage of MOSFET
Go Drain and Source Saturation Voltage = Gate-Source Voltage-Threshold Voltage
Voltage across Gate to Source of MOSFET on Differential Input Voltage given Overdrive Voltage
Go Gate-Source Voltage = Threshold Voltage+1.4*Effective Voltage
Threshold Voltage when MOSFET Acts as Amplifier
Go Threshold Voltage = Gate-Source Voltage-Effective Voltage
Treshold Voltage of MOSFET
Go Threshold Voltage = Gate-Source Voltage-Effective Voltage
Overdrive Voltage
Go Overdrive Voltage = (2*Drain Current)/Transconductance
Output Voltage at Drain Q1 of MOSFET
Go Drain Voltage Q1 = -(Output Resistance*Total Current)
Output Voltage at Drain Q2 of MOSFET
Go Drain Voltage Q2 = -(Output Resistance*Total Current)

Voltage across Gate and Source of MOSFET given Input Current Formula

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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