## 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))
Av = (gm*(1/((1/RL)+(1/Rd))))/(1+(gm*Rsi))
This formula uses 5 Variables
Variables Used
Voltage Gain - The Voltage Gain is the ratio of the output voltage to the input voltage.
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.
Load Resistance - (Measured in Ohm) - Load Resistance is the opposition to the flow of current in an electrical circuit due to the presence of a load.
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: 1.57 Siemens --> 1.57 Siemens No Conversion Required
Load Resistance: 14.88 Ohm --> 14.88 Ohm No Conversion Required
Drain Resistance: 11 Ohm --> 11 Ohm No Conversion Required
Self Induced Resistance: 14.3 Ohm --> 14.3 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Av = (gm*(1/((1/RL)+(1/Rd))))/(1+(gm*Rsi)) --> (1.57*(1/((1/14.88)+(1/11))))/(1+(1.57*14.3))
Evaluating ... ...
Av = 0.423418305800836
STEP 3: Convert Result to Output's Unit
0.423418305800836 --> No Conversion Required
0.423418305800836 0.423418 <-- Voltage Gain
(Calculation completed in 00.020 seconds)
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Created by Ritwik Tripathi
Vellore Institute of Technology (VIT Vellore), Vellore
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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

## Voltage Gain for Small Signal Formula

Voltage Gain = (Transconductance*(1/((1/Load Resistance)+(1/Drain Resistance))))/(1+(Transconductance*Self Induced Resistance))
Av = (gm*(1/((1/RL)+(1/Rd))))/(1+(gm*Rsi))

## 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 Av 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 (gm), Load Resistance (RL), Drain Resistance (Rd) & Self Induced Resistance (Rsi) and hit the calculate button. Here is how the Voltage Gain for Small Signal calculation can be explained with given input values -> 0.440226 = (1.57*(1/((1/14.88)+(1/11))))/(1+(1.57*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 Av = (gm*(1/((1/RL)+(1/Rd))))/(1+(gm*Rsi)) or Voltage Gain = (Transconductance*(1/((1/Load Resistance)+(1/Drain Resistance))))/(1+(Transconductance*Self Induced Resistance)). 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, Load Resistance is the opposition to the flow of current in an electrical circuit due to the presence of a load, 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 (gm), Load Resistance (RL), Drain Resistance (Rd) & Self Induced Resistance (Rsi). 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 2 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))) Let Others Know