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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. Check FAQs
Vgs=Iinω(Csg+Cgd)
Vgs - Gate-Source Voltage?Iin - Input Current?ω - Angular Frequency?Csg - Source Gate Capacitance?Cgd - Gate-Drain Capacitance?

Voltage across Gate and Source of MOSFET given Input Current Example

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With units
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Here is how the Voltage across Gate and Source of MOSFET given Input Current equation looks like with Values.

Here is how the Voltage across Gate and Source of MOSFET given Input Current equation looks like with Units.

Here is how the Voltage across Gate and Source of MOSFET given Input Current equation looks like.

3.9978Edit=2Edit33Edit(8.16Edit+7Edit)
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Voltage across Gate and Source of MOSFET given Input Current Solution

Follow our step by step solution on how to calculate Voltage across Gate and Source of MOSFET given Input Current?

FIRST Step Consider the formula
Vgs=Iinω(Csg+Cgd)
Next Step Substitute values of Variables
Vgs=2mA33rad/s(8.16μF+7μF)
Next Step Convert Units
Vgs=0.002A33rad/s(8.2E-6F+7E-6F)
Next Step Prepare to Evaluate
Vgs=0.00233(8.2E-6+7E-6)
Next Step Evaluate
Vgs=3.99776125369793V
LAST Step Rounding Answer
Vgs=3.9978V

Voltage across Gate and Source of MOSFET given Input Current Formula Elements

Variables
Gate-Source Voltage
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.
Symbol: Vgs
Measurement: Electric PotentialUnit: V
Note: Value should be greater than 0.
Input Current
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.
Symbol: Iin
Measurement: Electric CurrentUnit: mA
Note: Value can be positive or negative.
Angular Frequency
Angular Frequency of wave refers to the angular displacement per unit time. It is a scalar measure of rotation rate.
Symbol: ω
Measurement: Angular FrequencyUnit: rad/s
Note: Value can be positive or negative.
Source Gate Capacitance
The source gate capacitance is a measure of the capacitance between the source and gate electrodes in a field-effect transistor (FET).
Symbol: Csg
Measurement: CapacitanceUnit: μF
Note: Value should be greater than 0.
Gate-Drain Capacitance
Gate-drain capacitance is a parasitic capacitance that exists between the gate and drain electrodes of a field-effect transistor (FET).
Symbol: Cgd
Measurement: CapacitanceUnit: μF
Note: Value should be greater than 0.

Other Formulas to find Gate-Source Voltage

​Go Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage
Vgs=Vth+2Ibk'nWL
​Go Voltage across Gate to Source of MOSFET on Differential Input Voltage given Overdrive Voltage
Vgs=Vth+1.4Veff

Other formulas in Voltage category

​Go Output Voltage at Drain Q1 of MOSFET
vo1=-(RoutIt)
​Go Output Voltage at Drain Q2 of MOSFET
vo2=-(RoutIt)
​Go Output Voltage at Drain Q1 of MOSFET given Common-Mode Signal
vo1=-RoutgmVcin1+(2gmRout)
​Go Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal
vo2=-(Rout(1gm)+2Rout)Vcin

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

Voltage across Gate and Source of MOSFET given Input Current evaluator uses Gate-Source Voltage = Input Current/(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance)) to evaluate 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 evaluate Voltage across Gate and Source of MOSFET given Input Current using this online evaluator? To use this online evaluator 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.

FAQs on Voltage across Gate and Source of MOSFET given Input Current

What is the formula to find Voltage across Gate and Source of MOSFET given Input Current?
The formula of Voltage across Gate and Source of MOSFET given Input Current is expressed as Gate-Source Voltage = Input Current/(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance)). Here is an example- 3.997761 = 0.002/(33*(8.16E-06+7E-06)).
How to calculate Voltage across Gate and Source of MOSFET given Input Current?
With Input Current (Iin), Angular Frequency (ω), Source Gate Capacitance (Csg) & Gate-Drain Capacitance (Cgd) we can find Voltage across Gate and Source of MOSFET given Input Current using the formula - Gate-Source Voltage = Input Current/(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance)).
What are the other ways to Calculate Gate-Source Voltage?
Here are the different ways to Calculate Gate-Source Voltage-
  • Gate-Source Voltage=Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio))OpenImg
  • Gate-Source Voltage=Threshold Voltage+1.4*Effective VoltageOpenImg
Can the Voltage across Gate and Source of MOSFET given Input Current be negative?
No, the Voltage across Gate and Source of MOSFET given Input Current, measured in Electric Potential cannot be negative.
Which unit is used to measure Voltage across Gate and Source of MOSFET given Input Current?
Voltage across Gate and Source of MOSFET given Input Current is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Voltage across Gate and Source of MOSFET given Input Current can be measured.
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