Common Drain Output Voltage in Small Signal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Output Voltage = Transconductance*Critical Voltage*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance))
Vout = gm*Vc*((Rs*ro)/(Rs+ro))
This formula uses 5 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.
Critical Voltage - (Measured in Volt) - Critical Voltage is the minimum phase to the neutral voltage which glows and appears all along the line conductor.
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
Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion ​here)
Critical Voltage: 0.284 Volt --> 0.284 Volt No Conversion Required
Source Resistance: 12.6 --> No Conversion Required
Small Signal Resistance: 10.1 Kilohm --> 10100 Ohm (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vout = gm*Vc*((Rs*ro)/(Rs+ro)) --> 0.0005*0.284*((12.6*10100)/(12.6+10100))
Evaluating ... ...
Vout = 0.00178697070980757
STEP 3: Convert Result to Output's Unit
0.00178697070980757 Volt --> No Conversion Required
FINAL ANSWER
0.00178697070980757 0.001787 Volt <-- Output Voltage
(Calculation completed in 00.020 seconds)

Credits

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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
​ 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

Common Drain Output Voltage in Small Signal Formula

Output Voltage = Transconductance*Critical Voltage*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance))
Vout = gm*Vc*((Rs*ro)/(Rs+ro))

What are the applications of calculating Common Drain Output Voltage?

Calculating Common Drain Output Voltage is crucial in designing and optimizing power electronic circuits, as it helps to determine the maximum power that can be transferred from the circuit to the load. It also used in applications such as DC-DC converters, motor drives, and power supplies, where high efficiency and reliability are critical.

How to Calculate Common Drain Output Voltage in Small Signal?

Common Drain Output Voltage in Small Signal calculator uses Output Voltage = Transconductance*Critical Voltage*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance)) to calculate the Output Voltage, The Common Drain Output Voltage in Small Signal formula is defined as the voltage between the drain and ground pins of a transistor when there is no input signal. Output Voltage is denoted by Vout symbol.

How to calculate Common Drain Output Voltage in Small Signal using this online calculator? To use this online calculator for Common Drain Output Voltage in Small Signal, enter Transconductance (gm), Critical Voltage (Vc), Source Resistance (Rs) & Small Signal Resistance (ro) and hit the calculate button. Here is how the Common Drain Output Voltage in Small Signal calculation can be explained with given input values -> 0.017662 = 0.0005*0.284*((12.6*10100)/(12.6+10100)).

FAQ

What is Common Drain Output Voltage in Small Signal?
The Common Drain Output Voltage in Small Signal formula is defined as the voltage between the drain and ground pins of a transistor when there is no input signal and is represented as Vout = gm*Vc*((Rs*ro)/(Rs+ro)) or Output Voltage = Transconductance*Critical Voltage*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal 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, Critical Voltage is the minimum phase to the neutral voltage which glows and appears all along the line conductor, 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 Common Drain Output Voltage in Small Signal?
The Common Drain Output Voltage in Small Signal formula is defined as the voltage between the drain and ground pins of a transistor when there is no input signal is calculated using Output Voltage = Transconductance*Critical Voltage*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance)). To calculate Common Drain Output Voltage in Small Signal, you need Transconductance (gm), Critical Voltage (Vc), Source Resistance (Rs) & Small Signal Resistance (ro). With our tool, you need to enter the respective value for Transconductance, Critical Voltage, 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 Output Voltage?
In this formula, Output Voltage uses Transconductance, Critical Voltage, Source Resistance & Small Signal 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*Source to Gate Voltage*Load Resistance
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