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

✖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.ⓘ Threshold Voltage [V_th]			+10% -10%
✖DC bias current is the constant current that flows through a circuit or device to establish a certain operating point or bias point.ⓘ DC Bias Current [I_b]			+10% -10%
✖The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor.ⓘ Process Transconductance Parameter [k'_n]			+10% -10%
✖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.ⓘ Aspect Ratio [WL]			+10% -10%

✖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.ⓘ Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage [V_gs]

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

STEP 0: Pre-Calculation Summary

Formula Used

Gate-Source Voltage = Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio))
V_gs = V_th+sqrt((2*I_b)/(k'_n*WL))
This formula uses 1 Functions, 5 Variables

Functions Used

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., sqrt(Number)

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.
Threshold Voltage - (Measured in Volt) - 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.
DC Bias Current - (Measured in Ampere) - DC bias current is the constant current that flows through a circuit or device to establish a certain operating point or bias point.
Process Transconductance Parameter - (Measured in Ampere per Square Volt) - The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor.
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.

STEP 1: Convert Input(s) to Base Unit

Threshold Voltage: 2.3 Volt --> 2.3 Volt No Conversion Required
DC Bias Current: 985 Milliampere --> 0.985 Ampere (Check conversion here)
Process Transconductance Parameter: 2.1 Ampere per Square Volt --> 2.1 Ampere per Square Volt No Conversion Required
Aspect Ratio: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_gs = V_th+sqrt((2*I_b)/(k'_n*WL)) --> 2.3+sqrt((2*0.985)/(2.1*0.1))

Evaluating ... ...

V_gs = 5.36283404397829

STEP 3: Convert Result to Output's Unit

5.36283404397829 Volt --> No Conversion Required

FINAL ANSWER

5.36283404397829 ≈ 5.362834 Volt <-- Gate-Source Voltage

(Calculation completed in 00.020 seconds)

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< Voltage Calculators

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

LaTeX Go Drain Voltage Q1 = -Output Resistance*(Transconductance*Common Mode Input Signal)/(1+(2*Transconductance*Output Resistance))

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

LaTeX Go Drain Voltage Q2 = -(Output Resistance/((1/Transconductance)+2*Output Resistance))*Common Mode Input Signal

Output Voltage at Drain Q1 of MOSFET

LaTeX Go Drain Voltage Q1 = -(Output Resistance*Total Current)

Output Voltage at Drain Q2 of MOSFET

LaTeX Go Drain Voltage Q2 = -(Output Resistance*Total Current)

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

LaTeX Go

Gate-Source Voltage = Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio))
V_gs = V_th+sqrt((2*I_b)/(k'_n*WL))

What is differential input voltage?

The differential input voltage is the maximum voltage that can be supplied to the +Input (Non-inverting input) and -Input (Inverting input) pins without causing damage or degrading IC characteristics.

How to Calculate 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 calculator uses Gate-Source Voltage = Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio)) to calculate 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 calculate Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage using this online calculator? To use this online calculator 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. Here is how the Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage calculation can be explained with given input values -> 5.362834 = 2.3+sqrt((2*0.985)/(2.1*0.1)).

FAQ

What is Voltage across Gate and Source of MOSFET on Operation with Differential Input 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 and is represented as V_gs = V_th+sqrt((2*I_b)/(k'_n*WL)) or Gate-Source Voltage = Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio)). 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, DC bias current is the constant current that flows through a circuit or device to establish a certain operating point or bias point, The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor & 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.

How to calculate Voltage across Gate and Source of MOSFET on Operation with Differential Input 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 is calculated using Gate-Source Voltage = Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio)). To calculate Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage, you need Threshold Voltage (V_th), DC Bias Current (I_b), Process Transconductance Parameter (k'_n) & Aspect Ratio (WL). With our tool, you need to enter the respective value for Threshold Voltage, DC Bias Current, Process Transconductance Parameter & Aspect Ratio 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 Threshold Voltage, DC Bias Current, Process Transconductance Parameter & Aspect Ratio. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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