Incremental Voltage Signal of Differential Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Common Mode Input Signal = (Total Current/Transconductance)+(2*Total Current*Output Resistance)
Vcin = (It/gm)+(2*It*Rout)
This formula uses 4 Variables
Variables Used
Common Mode Input Signal - (Measured in Volt) - A common mode input signal is a type of electrical signal that appears equally on both input terminals of a differential amplifier.
Total Current - (Measured in Ampere) - Total current is a term used in electrical engineering and physics to refer to the sum of all the electric currents flowing through a particular point in a circuit or conductor.
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.
Output Resistance - (Measured in Ohm) - Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.
STEP 1: Convert Input(s) to Base Unit
Total Current: 7.7 Milliampere --> 0.0077 Ampere (Check conversion ​here)
Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion ​here)
Output Resistance: 4.5 Kilohm --> 4500 Ohm (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vcin = (It/gm)+(2*It*Rout) --> (0.0077/0.0005)+(2*0.0077*4500)
Evaluating ... ...
Vcin = 84.7
STEP 3: Convert Result to Output's Unit
84.7 Volt --> No Conversion Required
FINAL ANSWER
84.7 Volt <-- Common Mode Input Signal
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Jaipur Engineering College and Research Centre (JECRC), Jaipur
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Voltage Calculators

Output Voltage at Drain Q1 of MOSFET given Common-Mode Signal
​ LaTeX ​ Go Drain Voltage Q1 = -Output Resistance*(Transconductance*Common Mode Input Signal)/(1+(2*Transconductance*Output Resistance))
Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal
​ LaTeX ​ Go Drain Voltage Q2 = -(Output Resistance/((1/Transconductance)+2*Output Resistance))*Common Mode Input Signal
Output Voltage at Drain Q1 of MOSFET
​ LaTeX ​ Go Drain Voltage Q1 = -(Output Resistance*Total Current)
Output Voltage at Drain Q2 of MOSFET
​ LaTeX ​ Go Drain Voltage Q2 = -(Output Resistance*Total Current)

Incremental Voltage Signal of Differential Amplifier Formula

​LaTeX ​Go
Common Mode Input Signal = (Total Current/Transconductance)+(2*Total Current*Output Resistance)
Vcin = (It/gm)+(2*It*Rout)

How does MOSFET control voltage?

MOSFETs have also been used as voltage-controlled resistors. Because most MOSFETs today tend to be “enhancement mode”, this means that the required biasing at the gate is a positive voltage to turn on the drain current to lower its Rds. Thus, if the gate voltage is 0 volts, the MOSFET is turned off.

How MOSFET acts as an amplifier?

A small change in gate voltage produces a large change in drain current as in JFET. This fact makes MOSFET capable of raising the strength of a weak signal; thus acting as an amplifier. During the positive half-cycle of the signal, the positive voltage on the gate increases and produces the enhancement-mode.

How to Calculate Incremental Voltage Signal of Differential Amplifier?

Incremental Voltage Signal of Differential Amplifier calculator uses Common Mode Input Signal = (Total Current/Transconductance)+(2*Total Current*Output Resistance) to calculate the Common Mode Input Signal, The incremental voltage signal of differential amplifier refers to the small signal voltage applied to the input of the amplifier. Differential amplifiers are commonly used in various applications, including analog signal processing and amplification. Common Mode Input Signal is denoted by Vcin symbol.

How to calculate Incremental Voltage Signal of Differential Amplifier using this online calculator? To use this online calculator for Incremental Voltage Signal of Differential Amplifier, enter Total Current (It), Transconductance (gm) & Output Resistance (Rout) and hit the calculate button. Here is how the Incremental Voltage Signal of Differential Amplifier calculation can be explained with given input values -> 84.7 = (0.0077/0.0005)+(2*0.0077*4500).

FAQ

What is Incremental Voltage Signal of Differential Amplifier?
The incremental voltage signal of differential amplifier refers to the small signal voltage applied to the input of the amplifier. Differential amplifiers are commonly used in various applications, including analog signal processing and amplification and is represented as Vcin = (It/gm)+(2*It*Rout) or Common Mode Input Signal = (Total Current/Transconductance)+(2*Total Current*Output Resistance). Total current is a term used in electrical engineering and physics to refer to the sum of all the electric currents flowing through a particular point in a circuit or conductor, 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 & Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.
How to calculate Incremental Voltage Signal of Differential Amplifier?
The incremental voltage signal of differential amplifier refers to the small signal voltage applied to the input of the amplifier. Differential amplifiers are commonly used in various applications, including analog signal processing and amplification is calculated using Common Mode Input Signal = (Total Current/Transconductance)+(2*Total Current*Output Resistance). To calculate Incremental Voltage Signal of Differential Amplifier, you need Total Current (It), Transconductance (gm) & Output Resistance (Rout). With our tool, you need to enter the respective value for Total Current, Transconductance & Output Resistance 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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