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Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage Formula

GoVoltage across Gate to Source of MOSFET on Differential Input Voltage given Overdrive Voltage Formula

GoVoltage across Gate and Source of MOSFET given Input Current Formula

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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

V gs = V th + \sqrt{\frac{2 \cdot I b}{k' n \cdot WL}}

V_gs - Gate-Source Voltage?V_th - Threshold Voltage?I_b - DC Bias Current?k'_n - Process Transconductance Parameter?WL - Aspect Ratio?

Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage Example

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Here is how the Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage equation looks like with Values.

Here is how the Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage equation looks like with Units.

Here is how the Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage equation looks like.

5.3628 = 2.3 + \sqrt{\frac{2 \cdot 985}{2.1 \cdot 0.1}}

5.3628V = 2.3V + \sqrt{\frac{2 \cdot 985mA}{2.1A/V² \cdot 0.1}}

5.3628 = 2.3 + \sqrt{\frac{2 \cdot 985}{2.1 \cdot 0.1}}

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Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage Solution

Follow our step by step solution on how to calculate Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage?

FIRST Step Consider the formula

V gs = V th + \sqrt{\frac{2 \cdot I b}{k' n \cdot WL}}

Next Step Substitute values of Variables

∴

V gs = 2.3V + \sqrt{\frac{2 \cdot 985mA}{2.1A/V² \cdot 0.1}}

Next Step Convert Units

∴

V gs = 2.3V + \sqrt{\frac{2 \cdot 0.985A}{2.1A/V² \cdot 0.1}}

Next Step Prepare to Evaluate

∴

V gs = 2.3 + \sqrt{\frac{2 \cdot 0.985}{2.1 \cdot 0.1}}

Next Step Evaluate

∴

V gs = 5.36283404397829V

LAST Step Rounding Answer

∴

V gs = 5.3628V

Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage Formula Elements

Variables

Functions

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: V_gs

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Gate-Source Voltage

Threshold Voltage

Threshold voltage, also known as the gate threshold voltage or simply Vth, is a critical parameter in the operation of field-effect transistors, which are fundamental components in modern electronics.

Symbol: V_th

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Threshold Voltage

DC Bias Current

DC bias current is the constant current that flows through a circuit or device to establish a certain operating point or bias point.

Symbol: I_b

Measurement: Electric CurrentUnit: mA

Note: Value should be greater than 0.

Formulas to find DC Bias Current

Process Transconductance Parameter

The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor.

Symbol: k'_n

Measurement: Transconductance ParameterUnit: A/V²

Note: Value can be positive or negative.

Formulas to find Process Transconductance Parameter

Aspect Ratio

Aspect ratio is defined as the ratio of the width of the transistor's channel to its length. It is the ratio of the width of the gate to the distance btw the source & drain regions of the transistor.

Symbol: WL

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Aspect Ratio

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Gate-Source Voltage

Go Voltage across Gate to Source of MOSFET on Differential Input Voltage given Overdrive Voltage

V gs = V th + 1.4 \cdot V eff

Go Voltage across Gate and Source of MOSFET given Input Current

V gs = \frac{I in}{ω \cdot (C sg + C gd)}

Other formulas in Voltage category

Go Output Voltage at Drain Q1 of MOSFET

v o1 = - (R out \cdot I t)

Go Output Voltage at Drain Q2 of MOSFET

v o2 = - (R out \cdot I t)

Go Output Voltage at Drain Q1 of MOSFET given Common-Mode Signal

v o1 = - R out \cdot \frac{g m \cdot V cin}{1 + (2 \cdot g m \cdot R out)}

Go Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal

v o2 = - (\frac{R out}{(\frac{1}{g m}) + 2 \cdot R out}) \cdot V cin

How to Evaluate Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage?

Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage evaluator uses Gate-Source Voltage = Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio)) to evaluate the Gate-Source Voltage, The Voltage across gate and source of MOSFET on operation with differential input voltage formula is defined as the voltage that falls across the gate-source terminal of the transistor. This means that by connecting their terminals to a circuit, they will normally conduct current across the drain to source, without any voltage provided to the base. Gate-Source Voltage is denoted by V_gs symbol.

How to evaluate Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage using this online evaluator? To use this online evaluator for Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage, enter Threshold Voltage (V_th), DC Bias Current (I_b), Process Transconductance Parameter (k'_n) & Aspect Ratio (WL) and hit the calculate button.

FAQs on Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage

What is the formula to find Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage?

The formula of Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage is expressed as Gate-Source Voltage = Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio)). Here is an example- 5.362834 = 2.3+sqrt((2*0.985)/(2.1*0.1)).

How to calculate Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage?

With Threshold Voltage (V_th), DC Bias Current (I_b), Process Transconductance Parameter (k'_n) & Aspect Ratio (WL) we can find Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage using the formula - Gate-Source Voltage = Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio)). This formula also uses Square Root (sqrt) function(s).

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+1.4*Effective Voltage
Gate-Source Voltage=Input Current/(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance))

Can the Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage be negative?

No, the Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage, measured in Electric Potential cannot be negative.

Which unit is used to measure Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage?

Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage 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 on Operation with Differential Input Voltage can be measured.

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Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage Formula

​GoVoltage across Gate to Source of MOSFET on Differential Input Voltage given Overdrive Voltage Formula

​GoVoltage across Gate and Source of MOSFET given Input Current Formula

Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage Example

Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage Solution

Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage Formula Elements

Other Formulas to find Gate-Source Voltage

Other formulas in Voltage category

How to Evaluate Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage?

FAQs on Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage

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GoVoltage across Gate to Source of MOSFET on Differential Input Voltage given Overdrive Voltage Formula

GoVoltage across Gate and Source of MOSFET given Input Current Formula