Gate to Source Voltage in Small Signal Calculator

✖The Input voltage is the voltage detected at the input of the transistor.ⓘ Input Voltage [V_in]			+10% -10%
✖Self Induced Resistance is the internal resistance that occurs due to the presence of the FET's own charge carriers (electrons or holes).ⓘ Self Induced Resistance [R_si]			+10% -10%
✖Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.ⓘ Transconductance [g_m]			+10% -10%

✖Critical Voltage is the minimum phase to the neutral voltage which glows and appears all along the line conductor.ⓘ Gate to Source Voltage in Small Signal [V_c]

⎘ Copy

👎

Formula

✖

Gate to Source Voltage in Small Signal

Formula

`"V"_{"c"} = "V"_{"in"}/(1+"R"_{"si"}*"g"_{"m"})`

Example

`"1.153374V"="9.4V"/(1+"14.3kΩ"*"0.5mS")`

Calculator

LaTeX

Reset

👍

Download MOSFET Formula PDF PDF Image

Gate to Source Voltage in Small Signal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Voltage = Input Voltage/(1+Self Induced Resistance*Transconductance)
V_c = V_in/(1+R_si*g_m)
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 is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.

STEP 1: Convert Input(s) to Base Unit

Input Voltage: 9.4 Volt --> 9.4 Volt No Conversion Required
Self Induced Resistance: 14.3 Kilohm --> 14300 Ohm (Check conversion here)
Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = V_in/(1+R_si*g_m) --> 9.4/(1+14300*0.0005)

Evaluating ... ...

V_c = 1.15337423312883

STEP 3: Convert Result to Output's Unit

1.15337423312883 Volt --> No Conversion Required

FINAL ANSWER

1.15337423312883 ≈ 1.153374 Volt <-- Critical Voltage

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Electronics » MOSFET » Analog Electronics » Small Signal Analysis » Gate to Source Voltage in Small Signal

Credits

Created by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has created this Calculator and 10+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 600+ more calculators!

< 15 Small Signal Analysis Calculators

Small Signal Voltage Gain with respect to Input Resistance

Go 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

Go 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

Go Output Voltage = Transconductance*Critical Voltage*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance))

Output Voltage of Small Signal P-Channel

Go Output Voltage = Transconductance*Source to Gate Voltage*((Output Resistance*Drain Resistance)/(Drain Resistance+Output Resistance))

Voltage Gain for Small Signal

Go Voltage Gain = (Transconductance*(1/((1/Load Resistance)+(1/Drain Resistance))))/(1+(Transconductance*Self Induced Resistance))

Small-Signal Voltage Gain with respect to Drain Resistance

Go Voltage Gain = (Transconductance*((Output Resistance*Drain Resistance)/(Output Resistance+Drain Resistance)))

Output Current of Small Signal

Go Output Current = (Transconductance*Critical Voltage)*(Drain Resistance/(Load Resistance+Drain Resistance))

Input Current of Small Signal

Go Input Current Of Small Signal = (Critical Voltage*((1+Transconductance*Self Induced Resistance)/Self Induced Resistance))

Amplification Factor for Small Signal MOSFET Model

Go Amplification Factor = 1/Electron Mean Free Path*sqrt((2*Process Transconductance Parameter)/Drain Current)

Transconductance Given Small Signal Parameters

Go Transconductance = 2*Transconductance Parameter*(DC Component of Gate to Source Voltage-Total Voltage)

Gate to Source Voltage in Small Signal

Go Critical Voltage = Input Voltage/(1+Self Induced Resistance*Transconductance)

Voltage Gain using Small Signal

Go Voltage Gain = Transconductance*1/(1/Load Resistance+1/Finite Resistance)

Small Signal Output Voltage

Go Output Voltage = Transconductance*Source to Gate Voltage*Load Resistance

Drain Current of MOSFET Small Signal

Go Drain Current = 1/(Electron Mean Free Path*Output Resistance)

Amplification Factor in Small Signal MOSFET Model

Go Amplification Factor = Transconductance*Output Resistance

Gate to Source Voltage in Small Signal Formula

Critical Voltage = Input Voltage/(1+Self Induced Resistance*Transconductance)
V_c = V_in/(1+R_si*g_m)

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 V_c 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 (V_in), Self Induced Resistance (R_si) & Transconductance (g_m) and hit the calculate button. Here is how the Gate to Source Voltage in Small Signal calculation can be explained with given input values -> 1.153374 = 9.4/(1+14300*0.0005).

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 V_c = V_in/(1+R_si*g_m) 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 is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.

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 (V_in), Self Induced Resistance (R_si) & Transconductance (g_m). 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))))

Home

FREE PDFs

🔍 Search