Open-Circuit Voltage Gain of CS Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance)
Aoc = Rout/(Rout+1/gmp)
This formula uses 3 Variables
Variables Used
Open Circuit Voltage Gain - Open circuit voltage gain is the voltage gain of the amplifier at an open circuit.
Finite Output Resistance - (Measured in Ohm) - The finite output resistance is a measure of how much the transistor's output impedance varies with changes in the output voltage.
MOSFET Primary Transconductance - (Measured in Siemens) - MOSFET Primary Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.
STEP 1: Convert Input(s) to Base Unit
Finite Output Resistance: 0.35 Kilohm --> 350 Ohm (Check conversion ​here)
MOSFET Primary Transconductance: 19.77 Millisiemens --> 0.01977 Siemens (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Aoc = Rout/(Rout+1/gmp) --> 350/(350+1/0.01977)
Evaluating ... ...
Aoc = 0.873729402108719
STEP 3: Convert Result to Output's Unit
0.873729402108719 --> No Conversion Required
FINAL ANSWER
0.873729402108719 0.873729 <-- Open Circuit Voltage Gain
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Common Source Amplifier Calculators

Overall Feedback Voltage Gain of Common-Source Amplifier
​ LaTeX ​ Go Feedback Voltage Gain = -MOSFET Primary Transconductance*(Input Resistance/(Input Resistance+Signal Resistance))*(1/Drain Resistance+1/Load Resistance+1/Finite Output Resistance)^-1
Open-Circuit Voltage Gain of CS Amplifier
​ LaTeX ​ Go Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance)
Current Gain of Controlled Source Transistor
​ LaTeX ​ Go Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground))
Total Voltage Gain of CS Amplifier
​ LaTeX ​ Go Voltage Gain = Load Voltage/Input Voltage

Common Stage Amplifiers Gain Calculators

Overall Feedback Voltage Gain of Common-Collector Amplifier
​ LaTeX ​ Go Overall Voltage Gain = ((Collector Base Current Gain+1)*Load Resistance)/((Collector Base Current Gain+1)*Load Resistance+(Collector Base Current Gain+1)*Emitter Resistance+Signal Resistance)
Negative Voltage Gain from Base to Collector
​ LaTeX ​ Go Negative Voltage Gain = -Common Base Current Gain*(Collector Resistance/Emitter Resistance)
Common Base Current Gain
​ LaTeX ​ Go Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance)
Voltage Gain of Common-Base Amplifier
​ LaTeX ​ Go Voltage Gain = Collector Voltage/Emitter Voltage

Open-Circuit Voltage Gain of CS Amplifier Formula

​LaTeX ​Go
Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance)
Aoc = Rout/(Rout+1/gmp)

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 Open-Circuit Voltage Gain of CS Amplifier?

Open-Circuit Voltage Gain of CS Amplifier calculator uses Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance) to calculate the Open Circuit Voltage Gain, The Open-circuit voltage gain of CS amplifier formula is defined as input is voltage between gate and ground, and output is voltage between drain and ground. Open Circuit Voltage Gain is denoted by Aoc symbol.

How to calculate Open-Circuit Voltage Gain of CS Amplifier using this online calculator? To use this online calculator for Open-Circuit Voltage Gain of CS Amplifier, enter Finite Output Resistance (Rout) & MOSFET Primary Transconductance (gmp) and hit the calculate button. Here is how the Open-Circuit Voltage Gain of CS Amplifier calculation can be explained with given input values -> 0.873724 = 350/(350+1/0.01977).

FAQ

What is Open-Circuit Voltage Gain of CS Amplifier?
The Open-circuit voltage gain of CS amplifier formula is defined as input is voltage between gate and ground, and output is voltage between drain and ground and is represented as Aoc = Rout/(Rout+1/gmp) or Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance). The finite output resistance is a measure of how much the transistor's output impedance varies with changes in the output voltage & MOSFET Primary Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.
How to calculate Open-Circuit Voltage Gain of CS Amplifier?
The Open-circuit voltage gain of CS amplifier formula is defined as input is voltage between gate and ground, and output is voltage between drain and ground is calculated using Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance). To calculate Open-Circuit Voltage Gain of CS Amplifier, you need Finite Output Resistance (Rout) & MOSFET Primary Transconductance (gmp). With our tool, you need to enter the respective value for Finite Output Resistance & MOSFET Primary Transconductance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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