Gate to Source Voltage with respect to Small Signal Resistance Calculator

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✖The Input voltage is the voltage detected at the input of the transistor.ⓘ Input Voltage [V_in]			+10% -10%
✖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.ⓘ Transconductance [g_m]			+10% -10%
✖Source Resistance is the amount of resistance applied at the source terminal of the transistor.ⓘ Source Resistance [R_s]			+10% -10%
✖The small signal resistance is a measure of the opposition to the flow of small signals in an electronic circuit.ⓘ Small Signal Resistance [r_o]			+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 with respect to Small Signal Resistance [V_c]

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Formula

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Gate to Source Voltage with respect to Small Signal Resistance

Formula

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

Example

`"1.676725V"="9.4V"*((1/"1.57S")/((1/"1.57S")*(("12.6"*"10.1Ω")/("12.6"+"10.1Ω"))))`

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Gate to Source Voltage with respect to Small Signal Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Voltage = Input Voltage*((1/Transconductance)/((1/Transconductance)*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance))))
V_c = V_in*((1/g_m)/((1/g_m)*((R_s*r_o)/(R_s+r_o))))
This formula uses 5 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.
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.
Source Resistance - Source Resistance is the amount of resistance applied at the source terminal of the transistor.
Small Signal Resistance - (Measured in Ohm) - The small signal resistance is a measure of the opposition to the flow of small signals in an electronic circuit.

STEP 1: Convert Input(s) to Base Unit

Input Voltage: 9.4 Volt --> 9.4 Volt No Conversion Required
Transconductance: 1.57 Siemens --> 1.57 Siemens No Conversion Required
Source Resistance: 12.6 --> No Conversion Required
Small Signal Resistance: 10.1 Ohm --> 10.1 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = V_in*((1/g_m)/((1/g_m)*((R_s*r_o)/(R_s+r_o)))) --> 9.4*((1/1.57)/((1/1.57)*((12.6*10.1)/(12.6+10.1))))

Evaluating ... ...

V_c = 1.67672481533868

STEP 3: Convert Result to Output's Unit

1.67672481533868 Volt --> No Conversion Required

FINAL ANSWER

1.67672481533868 ≈ 1.676725 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

Ritwik Tripathi has created this Calculator and 8 more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 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 with respect to Small Signal Resistance Formula

What is the application of Gate to Source Voltage ?

The application of Gate to Source Voltage is to generate a voltage signal that is proportional to the input signal at the gate terminal. This allows the amplifier to amplify the input signal while maintaining a constant output voltage.

How to Calculate Gate to Source Voltage with respect to Small Signal Resistance?

Gate to Source Voltage with respect to Small Signal Resistance calculator uses Critical Voltage = Input Voltage*((1/Transconductance)/((1/Transconductance)*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance)))) to calculate the Critical Voltage, The Gate to Source Voltage with respect to Small Signal Resistance formula is defined as is a measure of the voltage gain of an operational amplifier (op-amp) circuit. It is calculated by dividing the output voltage by the input voltage. Critical Voltage is denoted by V_c symbol.

How to calculate Gate to Source Voltage with respect to Small Signal Resistance using this online calculator? To use this online calculator for Gate to Source Voltage with respect to Small Signal Resistance, enter Input Voltage (V_in), Transconductance (g_m), Source Resistance (R_s) & Small Signal Resistance (r_o) and hit the calculate button. Here is how the Gate to Source Voltage with respect to Small Signal Resistance calculation can be explained with given input values -> 1.676725 = 9.4*((1/1.57)/((1/1.57)*((12.6*10.1)/(12.6+10.1)))).

FAQ

What is Gate to Source Voltage with respect to Small Signal Resistance?

The Gate to Source Voltage with respect to Small Signal Resistance formula is defined as is a measure of the voltage gain of an operational amplifier (op-amp) circuit. It is calculated by dividing the output voltage by the input voltage and is represented as V_c = V_in*((1/g_m)/((1/g_m)*((R_s*r_o)/(R_s+r_o)))) or Critical Voltage = Input Voltage*((1/Transconductance)/((1/Transconductance)*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance)))). The Input voltage is the voltage detected at the input of the transistor, 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, Source Resistance is the amount of resistance applied at the source terminal of the transistor & The small signal resistance is a measure of the opposition to the flow of small signals in an electronic circuit.

How to calculate Gate to Source Voltage with respect to Small Signal Resistance?

The Gate to Source Voltage with respect to Small Signal Resistance formula is defined as is a measure of the voltage gain of an operational amplifier (op-amp) circuit. It is calculated by dividing the output voltage by the input voltage is calculated using Critical Voltage = Input Voltage*((1/Transconductance)/((1/Transconductance)*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance)))). To calculate Gate to Source Voltage with respect to Small Signal Resistance, you need Input Voltage (V_in), Transconductance (g_m), Source Resistance (R_s) & Small Signal Resistance (r_o). With our tool, you need to enter the respective value for Input Voltage, Transconductance, Source Resistance & Small Signal Resistance 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, Transconductance, Source Resistance & Small Signal Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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