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## Credits

Birsa Institute of Technology (BIT), Sindri
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## Overall voltage gain of the common-source amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
overall_voltage_gain = -(Input resistance/(Input resistance+Signal Resistance))*MOSFET Transconductance*(1/Load resistance of MOSFET+1/Load resistance+1/Output resistance)
Gv = -(Ri/(Ri+Rs))*gm*(1/RD+1/Rl+1/Ro)
This formula uses 6 Variables
Variables Used
Input resistance - Input resistance is the resistance value of the voltage amplifier (Measured in Ohm)
Signal Resistance- Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier
MOSFET Transconductance - MOSFET Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage. (Measured in Microsiemens)
Load resistance of MOSFET - Load resistance of MOSFET is the effective resistance of all of the circuit elements excluding the emf source (Measured in Ohm)
Load resistance - Load resistance is the resistance value of load given for the network (Measured in Kilohm)
Output resistance - Output resistance is the value of resistance of the network (Measured in Ohm)
STEP 1: Convert Input(s) to Base Unit
Input resistance: 100000 Ohm --> 100000 Ohm No Conversion Required
Signal Resistance: 1 --> No Conversion Required
MOSFET Transconductance: 0.25 Microsiemens --> 2.5E-07 Siemens (Check conversion here)
Load resistance of MOSFET: 200 Ohm --> 200 Ohm No Conversion Required
Load resistance: 1 Kilohm --> 1000 Ohm (Check conversion here)
Output resistance: 200 Ohm --> 200 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Gv = -(Ri/(Ri+Rs))*gm*(1/RD+1/Rl+1/Ro) --> -(100000/(100000+1))*2.5E-07*(1/200+1/1000+1/200)
Evaluating ... ...
Gv = -2.749972500275E-09
STEP 3: Convert Result to Output's Unit
-2.749972500275E-09 --> No Conversion Required
-2.749972500275E-09 <-- Overall voltage gain
(Calculation completed in 00.016 seconds)

## < 3 Common-source amplifier Calculators

Overall voltage gain of the common-source amplifier
overall_voltage_gain = -(Input resistance/(Input resistance+Signal Resistance))*MOSFET Transconductance*(1/Load resistance of MOSFET+1/Load resistance+1/Output resistance) Go
Input resistance of the common-source amplifier
equivalent_resistance = (1/Finite input resistance)+(1/Finite output resistance) Go
Output resistance of the common-source amplifier
resistance_output = 1*Output resistance of transistor Go

### Overall voltage gain of the common-source amplifier Formula

overall_voltage_gain = -(Input resistance/(Input resistance+Signal Resistance))*MOSFET Transconductance*(1/Load resistance of MOSFET+1/Load resistance+1/Output resistance)
Gv = -(Ri/(Ri+Rs))*gm*(1/RD+1/Rl+1/Ro)

## What is a Common Source Amplifier?

When the input signal is applied at the gate terminal and source terminal, then the output voltage is amplified and obtained across the resistor at the load in the drain terminal. This is called a common source amplifier.

## How to Calculate Overall voltage gain of the common-source amplifier?

Overall voltage gain of the common-source amplifier calculator uses overall_voltage_gain = -(Input resistance/(Input resistance+Signal Resistance))*MOSFET Transconductance*(1/Load resistance of MOSFET+1/Load resistance+1/Output resistance) to calculate the Overall voltage gain, The overall voltage gain of the common-source amplifier formula is defined as the amount of voltage that an electronic device needs in order to power on and function. Overall voltage gain and is denoted by Gv symbol.

How to calculate Overall voltage gain of the common-source amplifier using this online calculator? To use this online calculator for Overall voltage gain of the common-source amplifier, enter Input resistance (Ri), Signal Resistance (Rs), MOSFET Transconductance (gm), Load resistance of MOSFET (RD), Load resistance (Rl) and Output resistance (Ro) and hit the calculate button. Here is how the Overall voltage gain of the common-source amplifier calculation can be explained with given input values -> -2.750E-9 = -(100000/(100000+1))*2.5E-07*(1/200+1/1000+1/200).

### FAQ

What is Overall voltage gain of the common-source amplifier?
The overall voltage gain of the common-source amplifier formula is defined as the amount of voltage that an electronic device needs in order to power on and function and is represented as Gv = -(Ri/(Ri+Rs))*gm*(1/RD+1/Rl+1/Ro) or overall_voltage_gain = -(Input resistance/(Input resistance+Signal Resistance))*MOSFET Transconductance*(1/Load resistance of MOSFET+1/Load resistance+1/Output resistance). Input resistance is the resistance value of the voltage amplifier, Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier, MOSFET Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage, Load resistance of MOSFET is the effective resistance of all of the circuit elements excluding the emf source, Load resistance is the resistance value of load given for the network and Output resistance is the value of resistance of the network.
How to calculate Overall voltage gain of the common-source amplifier?
The overall voltage gain of the common-source amplifier formula is defined as the amount of voltage that an electronic device needs in order to power on and function is calculated using overall_voltage_gain = -(Input resistance/(Input resistance+Signal Resistance))*MOSFET Transconductance*(1/Load resistance of MOSFET+1/Load resistance+1/Output resistance). To calculate Overall voltage gain of the common-source amplifier, you need Input resistance (Ri), Signal Resistance (Rs), MOSFET Transconductance (gm), Load resistance of MOSFET (RD), Load resistance (Rl) and Output resistance (Ro). With our tool, you need to enter the respective value for Input resistance, Signal Resistance, MOSFET Transconductance, Load resistance of MOSFET, Load resistance and Output 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 Overall voltage gain?
In this formula, Overall voltage gain uses Input resistance, Signal Resistance, MOSFET Transconductance, Load resistance of MOSFET, Load resistance and Output resistance. We can use 3 other way(s) to calculate the same, which is/are as follows -
• equivalent_resistance = (1/Finite input resistance)+(1/Finite output resistance)
• overall_voltage_gain = -(Input resistance/(Input resistance+Signal Resistance))*MOSFET Transconductance*(1/Load resistance of MOSFET+1/Load resistance+1/Output resistance)
• resistance_output = 1*Output resistance of transistor
Where is the Overall voltage gain of the common-source amplifier calculator used?
Among many, Overall voltage gain of the common-source amplifier calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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