Voltage Gain for Small Signal Calculator

✖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%
✖Load resistance is the external resistance connected between the drain terminal of the MOSFET and the power supply voltage.ⓘ Load Resistance [R_L]			+10% -10%
✖Drain Resistance is defined as the resistance opposing the flow of current through the drain of the transistor.ⓘ Drain Resistance [R_d]			+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%

✖Voltage gain is a measure of the amplification of an electrical signal by an amplifier . It is the ratio of the output voltage to the input voltage of the circuit, expressed in decibels (dB).ⓘ Voltage Gain for Small Signal [A_v]

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Voltage Gain for Small Signal

Formula

`"A"_{"v"} = ("g"_{"m"}*(1/((1/"R"_{"L"})+(1/"R"_{"d"}))))/(1+("g"_{"m"}*"R"_{"si"}))`

Example

`"0.000649"=("0.5mS"*(1/((1/"0.28kΩ")+(1/"11Ω"))))/(1+("0.5mS"*"14.3kΩ"))`

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Voltage Gain for Small Signal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage Gain = (Transconductance*(1/((1/Load Resistance)+(1/Drain Resistance))))/(1+(Transconductance*Self Induced Resistance))
A_v = (g_m*(1/((1/R_L)+(1/R_d))))/(1+(g_m*R_si))
This formula uses 5 Variables

Variables Used

Voltage Gain - Voltage gain is a measure of the amplification of an electrical signal by an amplifier . It is the ratio of the output voltage to the input voltage of the circuit, expressed in decibels (dB).
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.
Load Resistance - (Measured in Ohm) - Load resistance is the external resistance connected between the drain terminal of the MOSFET and the power supply voltage.
Drain Resistance - (Measured in Ohm) - Drain Resistance is defined as the resistance opposing the flow of current through the drain 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).

STEP 1: Convert Input(s) to Base Unit

Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion here)
Load Resistance: 0.28 Kilohm --> 280 Ohm (Check conversion here)
Drain Resistance: 11 Ohm --> 11 Ohm No Conversion Required
Self Induced Resistance: 14.3 Kilohm --> 14300 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_v = (g_m*(1/((1/R_L)+(1/R_d))))/(1+(g_m*R_si)) --> (0.0005*(1/((1/280)+(1/11))))/(1+(0.0005*14300))

Evaluating ... ...

A_v = 0.000649336959500769

STEP 3: Convert Result to Output's Unit

0.000649336959500769 --> No Conversion Required

FINAL ANSWER

0.000649336959500769 ≈ 0.000649 <-- Voltage Gain

(Calculation completed in 00.004 seconds)

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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

Voltage Gain for Small Signal Formula

Voltage Gain = (Transconductance*(1/((1/Load Resistance)+(1/Drain Resistance))))/(1+(Transconductance*Self Induced Resistance))
A_v = (g_m*(1/((1/R_L)+(1/R_d))))/(1+(g_m*R_si))

What is the applition of voltage gain in mosfet?

The voltage gain of a MOSFET can be calculated using the device's transconductance and capacitance, and it is typically expressed as a function of frequency. A higher voltage gain indicates a better amplifier performance, with lower distortion and noise.

How to Calculate Voltage Gain for Small Signal?

Voltage Gain for Small Signal calculator uses Voltage Gain = (Transconductance*(1/((1/Load Resistance)+(1/Drain Resistance))))/(1+(Transconductance*Self Induced Resistance)) to calculate the Voltage Gain, Voltage gain for Small Signal refers to the amplification of voltage in a circuit when a small input signal is applied. It is commonly used to measure the sensitivity of amplifiers and is usually expressed as a ratio or in decibels. Voltage Gain is denoted by A_v symbol.

How to calculate Voltage Gain for Small Signal using this online calculator? To use this online calculator for Voltage Gain for Small Signal, enter Transconductance (g_m), Load Resistance (R_L), Drain Resistance (R_d) & Self Induced Resistance (R_si) and hit the calculate button. Here is how the Voltage Gain for Small Signal calculation can be explained with given input values -> 0.005255 = (0.0005*(1/((1/280)+(1/11))))/(1+(0.0005*14.3)).

FAQ

What is Voltage Gain for Small Signal?

Voltage gain for Small Signal refers to the amplification of voltage in a circuit when a small input signal is applied. It is commonly used to measure the sensitivity of amplifiers and is usually expressed as a ratio or in decibels and is represented as A_v = (g_m*(1/((1/R_L)+(1/R_d))))/(1+(g_m*R_si)) or Voltage Gain = (Transconductance*(1/((1/Load Resistance)+(1/Drain Resistance))))/(1+(Transconductance*Self Induced Resistance)). 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, Load resistance is the external resistance connected between the drain terminal of the MOSFET and the power supply voltage, Drain Resistance is defined as the resistance opposing the flow of current through the drain 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).

How to calculate Voltage Gain for Small Signal?

Voltage gain for Small Signal refers to the amplification of voltage in a circuit when a small input signal is applied. It is commonly used to measure the sensitivity of amplifiers and is usually expressed as a ratio or in decibels is calculated using Voltage Gain = (Transconductance*(1/((1/Load Resistance)+(1/Drain Resistance))))/(1+(Transconductance*Self Induced Resistance)). To calculate Voltage Gain for Small Signal, you need Transconductance (g_m), Load Resistance (R_L), Drain Resistance (R_d) & Self Induced Resistance (R_si). With our tool, you need to enter the respective value for Transconductance, Load Resistance, Drain Resistance & Self Induced 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 Voltage Gain?

In this formula, Voltage Gain uses Transconductance, Load Resistance, Drain Resistance & Self Induced Resistance. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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