## Gate to Source Voltage in Small Signal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Voltage = -Input Voltage/(1+Self Induced Resistance*Transconductance)
Vc = -Vin/(1+Rsi*gm)
This formula uses 4 Variables
Variables Used
Critical Voltage - (Measured in Volt) - Critical Voltage is the minimum phase to the neutral voltage which glows and appears all along the line conductor.
Input Voltage - (Measured in Volt) - The Input voltage is the voltage detected at the input of the transistor.
Self Induced Resistance - (Measured in Ohm) - Self Induced Resistance is the internal resistance that occurs due to the presence of the FET's own charge carriers (electrons or holes).
Transconductance - (Measured in Siemens) - Transconductance in small signal amplifiers refers to the change in current output for a small change in input voltage. It is a measure of the amplifier's ability to follow small signal variations.
STEP 1: Convert Input(s) to Base Unit
Input Voltage: 9.4 Volt --> 9.4 Volt No Conversion Required
Self Induced Resistance: 14.3 Ohm --> 14.3 Ohm No Conversion Required
Transconductance: 1.57 Siemens --> 1.57 Siemens No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vc = -Vin/(1+Rsi*gm) --> -9.4/(1+14.3*1.57)
Evaluating ... ...
Vc = -0.40083578525436
STEP 3: Convert Result to Output's Unit
-0.40083578525436 Volt --> No Conversion Required
-0.40083578525436 -0.400836 Volt <-- Critical Voltage
(Calculation completed in 00.004 seconds)
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## Credits

Created by Ritwik Tripathi
Vellore Institute of Technology (VIT Vellore), Vellore
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Chandigarh University (CU), Punjab
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## < 15 Small Signal Analysis Calculators

Small Signal Voltage Gain with respect to Input Resistance
Voltage Gain = (Input Amplifier Resistance/(Input Amplifier Resistance+Self Induced Resistance))*((Source Resistance*Output Resistance)/(Source Resistance+Output Resistance))/(1/Transconductance+((Source Resistance*Output Resistance)/(Source Resistance+Output Resistance)))
Gate to Source Voltage with respect to Small Signal Resistance
Critical Voltage = Input Voltage*((1/Transconductance)/((1/Transconductance)*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance))))
Common Drain Output Voltage in Small Signal
Output Voltage = Transconductance*Critical Voltage*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance))
Output Voltage of Small Signal P-Channel
Output Voltage = Transconductance*Source to Gate Voltage*((Output Resistance*Drain Resistance)/(Drain Resistance+Output Resistance))
Voltage Gain for Small Signal
Voltage Gain = (Transconductance*(1/((1/Load Resistance)+(1/Drain Resistance))))/(1+(Transconductance*Self Induced Resistance))
Small-Signal Voltage Gain with respect to Drain Resistance
Voltage Gain = -(Transconductance*((Output Resistance *Drain Resistance)/(Output Resistance+Drain Resistance)))
Output Current of Small Signal
Output Current = (-Transconductance*Critical Voltage)*(Drain Resistance/(Load Resistance+Drain Resistance))
Input Current of Small Signal
Input Current Of Small Signal = -(Critical Voltage*((1+Transconductance*Self Induced Resistance)/Self Induced Resistance))
Amplification Factor for Small Signal MOSFET Model
Amplification Factor = 1/Electron Mean Free Path*sqrt((2*Process Transconductance Parameter)/Drain Current)
Transconductance Given Small Signal Parameters
Transconductance = 2*Transconductance Parameter*(DC Component of Gate to Source Voltage-Total Voltage)
Gate to Source Voltage in Small Signal
Critical Voltage = -Input Voltage/(1+Self Induced Resistance*Transconductance)
Voltage Gain using Small Signal
Voltage Gain = Transconductance*1/(1/Load Resistance+1/Finite Resistance)
Small Signal Output Voltage
Output Voltage = Transconductance*Source to Gate Voltage*Load Resistance
Drain Current of MOSFET Small Signal
Drain Current = 1/(Electron Mean Free Path*Output Resistance)
Amplification Factor in Small Signal MOSFET Model
Amplification Factor = Transconductance*Output Resistance

## Gate to Source Voltage in Small Signal Formula

Critical Voltage = -Input Voltage/(1+Self Induced Resistance*Transconductance)
Vc = -Vin/(1+Rsi*gm)

## What is the application of gate to source voltage of small signal?

The gate-to-source voltage of a small signal in a MOSFET is used to control the conductivity of the channel between the source and drain. In small signal applications, it helps determine the operating point and signal amplification.

## How to Calculate Gate to Source Voltage in Small Signal?

Gate to Source Voltage in Small Signal calculator uses Critical Voltage = -Input Voltage/(1+Self Induced Resistance*Transconductance) to calculate the Critical Voltage, The Gate to Source Voltage in Small Signal formula is defined as the voltage between the gate and source terminals when the device is in its linear region. Critical Voltage is denoted by Vc symbol.

How to calculate Gate to Source Voltage in Small Signal using this online calculator? To use this online calculator for Gate to Source Voltage in Small Signal, enter Input Voltage (Vin), Self Induced Resistance (Rsi) & Transconductance (gm) and hit the calculate button. Here is how the Gate to Source Voltage in Small Signal calculation can be explained with given input values -> -0.400836 = -9.4/(1+14.3*1.57).

### FAQ

What is Gate to Source Voltage in Small Signal?
The Gate to Source Voltage in Small Signal formula is defined as the voltage between the gate and source terminals when the device is in its linear region and is represented as Vc = -Vin/(1+Rsi*gm) or Critical Voltage = -Input Voltage/(1+Self Induced Resistance*Transconductance). The Input voltage is the voltage detected at the input of the transistor, Self Induced Resistance is the internal resistance that occurs due to the presence of the FET's own charge carriers (electrons or holes) & Transconductance in small signal amplifiers refers to the change in current output for a small change in input voltage. It is a measure of the amplifier's ability to follow small signal variations.
How to calculate Gate to Source Voltage in Small Signal?
The Gate to Source Voltage in Small Signal formula is defined as the voltage between the gate and source terminals when the device is in its linear region is calculated using Critical Voltage = -Input Voltage/(1+Self Induced Resistance*Transconductance). To calculate Gate to Source Voltage in Small Signal, you need Input Voltage (Vin), Self Induced Resistance (Rsi) & Transconductance (gm). With our tool, you need to enter the respective value for Input Voltage, Self Induced Resistance & Transconductance 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 Critical Voltage?
In this formula, Critical Voltage uses Input Voltage, Self Induced Resistance & Transconductance. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Critical Voltage = Input Voltage*((1/Transconductance)/((1/Transconductance)*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance)))) Let Others Know