## Small Signal Output Voltage Solution

STEP 0: Pre-Calculation Summary
Formula Used
Output Voltage = Transconductance*Source to Gate Voltage*Load Resistance
Vout = gm*Vsg*RL
This formula uses 4 Variables
Variables Used
Output Voltage - (Measured in Volt) - Output voltage is the electrical potential difference that is delivered to a load by a power supply and it plays a critical role in determining the performance and reliability of electronic systems.
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.
Source to Gate Voltage - (Measured in Volt) - The Source to Gate Voltage is the potential difference between the source and gate of the transistor.
Load Resistance - (Measured in Ohm) - Load resistance is the external resistance connected between the drain terminal of the MOSFET and the power supply voltage.
STEP 1: Convert Input(s) to Base Unit
Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion ​here)
Source to Gate Voltage: 20 Volt --> 20 Volt No Conversion Required
Load Resistance: 0.28 Kilohm --> 280 Ohm (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vout = gm*Vsg*RL --> 0.0005*20*280
Evaluating ... ...
Vout = 2.8
STEP 3: Convert Result to Output's Unit
2.8 Volt --> No Conversion Required
2.8 Volt <-- Output 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

## Small Signal Output Voltage Formula

Output Voltage = Transconductance*Source to Gate Voltage*Load Resistance
Vout = gm*Vsg*RL

## What is the application of small signal output voltage?

The application of small signal output voltage is commonly found in electronics and communication systems. It refers to the small variations in voltage that occur in response to input signals. These small signals are usually used for amplification purposes, where they are boosted to a level suitable for further processing or transmission.

## How to Calculate Small Signal Output Voltage?

Small Signal Output Voltage calculator uses Output Voltage = Transconductance*Source to Gate Voltage*Load Resistance to calculate the Output Voltage, Small Signal Output Voltage refers to the voltage output of a circuit or device when it is operating with a small signal or low power input.It is used to quantify the maximum voltage output of a circuit before it begins to saturate or become non-linear. Output Voltage is denoted by Vout symbol.

How to calculate Small Signal Output Voltage using this online calculator? To use this online calculator for Small Signal Output Voltage, enter Transconductance (gm), Source to Gate Voltage (Vsg) & Load Resistance (RL) and hit the calculate button. Here is how the Small Signal Output Voltage calculation can be explained with given input values -> 2.8 = 0.0005*20*280.

### FAQ

What is Small Signal Output Voltage?
Small Signal Output Voltage refers to the voltage output of a circuit or device when it is operating with a small signal or low power input.It is used to quantify the maximum voltage output of a circuit before it begins to saturate or become non-linear and is represented as Vout = gm*Vsg*RL or Output Voltage = Transconductance*Source to Gate Voltage*Load 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, The Source to Gate Voltage is the potential difference between the source and gate of the transistor & Load resistance is the external resistance connected between the drain terminal of the MOSFET and the power supply voltage.
How to calculate Small Signal Output Voltage?
Small Signal Output Voltage refers to the voltage output of a circuit or device when it is operating with a small signal or low power input.It is used to quantify the maximum voltage output of a circuit before it begins to saturate or become non-linear is calculated using Output Voltage = Transconductance*Source to Gate Voltage*Load Resistance. To calculate Small Signal Output Voltage, you need Transconductance (gm), Source to Gate Voltage (Vsg) & Load Resistance (RL). With our tool, you need to enter the respective value for Transconductance, Source to Gate Voltage & Load 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 Output Voltage?
In this formula, Output Voltage uses Transconductance, Source to Gate Voltage & Load Resistance. We can use 2 other way(s) to calculate the same, which is/are as follows -
• Output Voltage = Transconductance*Source to Gate Voltage*((Output Resistance*Drain Resistance)/(Drain Resistance+Output Resistance))
• Output Voltage = Transconductance*Critical Voltage*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance))
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