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)

Credits

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

Overall Feedback Voltage Gain of Common-Source Amplifier
Go Feedback Voltage Gain = -MOSFET Primary Transconductance*(Input Resistance/(Input Resistance+Signal Resistance))*(1/Drain Resistance+1/Load Resistance+1/Finite Output Resistance)^-1
Output Voltage of Controlled Source Transistor
Go DC Component of Gate to Source Voltage = (Voltage Gain*Electric Current-Short Circuit Transconductance*Differential Output Signal)*(1/Final Resistance+1/Resistance of Primary Winding in Secondary)
Output Resistance at Another Drain of Controlled Source Transistor
Go Drain Resistance = Resistance of Secondary Winding in Primary+2*Finite Resistance+2*Finite Resistance*MOSFET Primary Transconductance*Resistance of Secondary Winding in Primary
Output Resistance of CS Amplifier with Source Resistance
Go Drain Resistance = Finite Output Resistance+Source Resistance+(MOSFET Primary Transconductance*Finite Output Resistance*Source Resistance)
Open-Circuit Voltage Gain of CS Amplifier
Go Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance)
Transconductance in Common Source Amplifier
Go MOSFET Primary Transconductance = Unity Gain Frequency*(Gate to Source Capacitance+Capacitance Gate to Drain)
Overall Voltage Gain of Source Follower
Go Overall Voltage Gain = Load Resistance/(Load Resistance+1/MOSFET Primary Transconductance)
Current Gain of Controlled Source Transistor
Go Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground))
Emitter Voltage with respect to Voltage Gain
Go Emitter Voltage = Collector Voltage/Voltage Gain
Total Voltage Gain of CS Amplifier
Go Voltage Gain = Load Voltage/Input Voltage
Load Voltage of CS Amplifier
Go Load Voltage = Voltage Gain*Input Voltage

13 Common Stage Amplifiers Gain Calculators

Overall Feedback Voltage Gain of Common-Collector Amplifier
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)
Overall Voltage Gain of Common-Emitter Amplifier
Go Feedback Voltage Gain = -MOSFET Primary Transconductance*(Input Resistance/(Input Resistance+Signal Resistance))*(1/Collector Resistance+1/Load Resistance+1/Finite Output Resistance)^-1
Overall Feedback Voltage Gain of Common-Source Amplifier
Go Feedback Voltage Gain = -MOSFET Primary Transconductance*(Input Resistance/(Input Resistance+Signal Resistance))*(1/Drain Resistance+1/Load Resistance+1/Finite Output Resistance)^-1
Overall Feedback Voltage Gain of Common-Emitter Amplifier
Go Feedback Voltage Gain = -Common Base Current Gain*Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance))
Total Current Gain with respect to Voltage Gain
Go Common Base Current Gain = Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance)))
Open-Circuit Voltage Gain of CS Amplifier
Go Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance)
Negative Voltage Gain from Base to Collector
Go Negative Voltage Gain = -Common Base Current Gain*(Collector Resistance/Emitter Resistance)
Overall Voltage Gain of Source Follower
Go Overall Voltage Gain = Load Resistance/(Load Resistance+1/MOSFET Primary Transconductance)
Common Base Current Gain
Go Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance)
Current Gain of Controlled Source Transistor
Go Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground))
Emitter Voltage with respect to Voltage Gain
Go Emitter Voltage = Collector Voltage/Voltage Gain
Voltage Gain of Common-Base Amplifier
Go Voltage Gain = Collector Voltage/Emitter Voltage
Total Voltage Gain of CS Amplifier
Go Voltage Gain = Load Voltage/Input Voltage

Open-Circuit Voltage Gain of CS Amplifier Formula

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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