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## Credits

Birsa Institute of Technology (BIT), Sindri
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## Overall voltage gain of the common-base amplifier in terms of transconductance Solution

STEP 0: Pre-Calculation Summary
Formula Used
overall_voltage_gain = (Input resistance/(Input resistance+Signal Resistance))*MOSFET Transconductance*(1/Total resistance in collector+1/Load resistance)
Gv = (Ri/(Ri+Rs))*gm*(1/R+1/Rl)
This formula uses 5 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)
Total resistance in collector - The total resistance in collector is the opposition offered to the current passing through the collector. (Measured in Ohm)
Load resistance - Load resistance is the resistance value of load given for the network (Measured in Kilohm)
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)
Total resistance in collector: 20 Ohm --> 20 Ohm No Conversion Required
Load resistance: 1 Kilohm --> 1000 Ohm (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Gv = (Ri/(Ri+Rs))*gm*(1/R+1/Rl) --> (100000/(100000+1))*2.5E-07*(1/20+1/1000)
Evaluating ... ...
Gv = 1.2749872501275E-08
STEP 3: Convert Result to Output's Unit
1.2749872501275E-08 --> No Conversion Required
1.2749872501275E-08 <-- Overall voltage gain
(Calculation completed in 00.016 seconds)

## < 7 Common-base amplifier Calculators

Overall voltage gain of the common-base amplifier
overall_voltage_gain = Common emitter current gain*(Input resistance/(Input resistance+Signal Resistance))*((1/Total resistance in collector+1/Load resistance)/Emitter Resistance) Go
Overall voltage gain of the common-base amplifier in terms of transconductance
overall_voltage_gain = (Input resistance/(Input resistance+Signal Resistance))*MOSFET Transconductance*(1/Total resistance in collector+1/Load resistance) Go
Output voltage of the common-base amplifier
Input voltage of the common-base amplifier
input_voltage = Small-signal voltage*(Input resistance/(Input resistance+Signal Resistance)) Go
Input resistance of the common-base amplifier in terms of emitter resistance
resistance_input = (1/Total resistance in the emitter+1/Emitter Resistance) Go
Emitter current of the common-base amplifier
emitter_current = -(Input voltage/Emitter Resistance) Go
Input resistance of the common-base amplifier
resistance_input = 1/MOSFET Transconductance Go

### Overall voltage gain of the common-base amplifier in terms of transconductance Formula

overall_voltage_gain = (Input resistance/(Input resistance+Signal Resistance))*MOSFET Transconductance*(1/Total resistance in collector+1/Load resistance)
Gv = (Ri/(Ri+Rs))*gm*(1/R+1/Rl)

## What is the advantage of a common base amplifier?

The common base circuit works best as a current buffer. It can take an input current at a low input impedance, and deliver nearly that same current to a higher impedance output.

## How to Calculate Overall voltage gain of the common-base amplifier in terms of transconductance?

Overall voltage gain of the common-base amplifier in terms of transconductance calculator uses overall_voltage_gain = (Input resistance/(Input resistance+Signal Resistance))*MOSFET Transconductance*(1/Total resistance in collector+1/Load resistance) to calculate the Overall voltage gain, The overall voltage gain of the common-base amplifier in terms of transconductance 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-base amplifier in terms of transconductance using this online calculator? To use this online calculator for Overall voltage gain of the common-base amplifier in terms of transconductance, enter Input resistance (Ri), Signal Resistance (Rs), MOSFET Transconductance (gm), Total resistance in collector (R) and Load resistance (Rl) and hit the calculate button. Here is how the Overall voltage gain of the common-base amplifier in terms of transconductance calculation can be explained with given input values -> 1.275E-8 = (100000/(100000+1))*2.5E-07*(1/20+1/1000).

### FAQ

What is Overall voltage gain of the common-base amplifier in terms of transconductance?
The overall voltage gain of the common-base amplifier in terms of transconductance 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/R+1/Rl) or overall_voltage_gain = (Input resistance/(Input resistance+Signal Resistance))*MOSFET Transconductance*(1/Total resistance in collector+1/Load 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, The total resistance in collector is the opposition offered to the current passing through the collector and Load resistance is the resistance value of load given for the network.
How to calculate Overall voltage gain of the common-base amplifier in terms of transconductance?
The overall voltage gain of the common-base amplifier in terms of transconductance 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/Total resistance in collector+1/Load resistance). To calculate Overall voltage gain of the common-base amplifier in terms of transconductance, you need Input resistance (Ri), Signal Resistance (Rs), MOSFET Transconductance (gm), Total resistance in collector (R) and Load resistance (Rl). With our tool, you need to enter the respective value for Input resistance, Signal Resistance, MOSFET Transconductance, Total resistance in collector and 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 Overall voltage gain?
In this formula, Overall voltage gain uses Input resistance, Signal Resistance, MOSFET Transconductance, Total resistance in collector and Load resistance. We can use 7 other way(s) to calculate the same, which is/are as follows -
• resistance_input = 1/MOSFET Transconductance
• input_voltage = Small-signal voltage*(Input resistance/(Input resistance+Signal Resistance))
• emitter_current = -(Input voltage/Emitter Resistance)
• resistance_input = (1/Total resistance in the emitter+1/Emitter Resistance)