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))
Vgs = Vth+sqrt((2*Ib)/(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
Vgs = Vth+sqrt((2*Ib)/(k'n*WL)) --> 2.3+sqrt((2*0.985)/(2.1*0.1))
Evaluating ... ...
Vgs = 5.36283404397829
STEP 3: Convert Result to Output's Unit
5.36283404397829 Volt --> No Conversion Required
FINAL ANSWER
5.36283404397829 ā‰ˆ 5.362834 Volt <-- Gate-Source Voltage
(Calculation completed in 00.004 seconds)

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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 on Operation with Differential Input Voltage Formula

Gate-Source Voltage = Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio))
Vgs = Vth+sqrt((2*Ib)/(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 Vgs 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 (Vth), DC Bias Current (Ib), 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 Vgs = Vth+sqrt((2*Ib)/(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 (Vth), DC Bias Current (Ib), 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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