Incremental Voltage Signal of Differential Amplifier Calculator

✖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.ⓘ Total Current [I_t]			+10% -10%
✖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.ⓘ Transconductance [g_m]			+10% -10%
✖Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.ⓘ Output Resistance [R_out]			+10% -10%

✖A common mode input signal is a type of electrical signal that appears equally on both input terminals of a differential amplifier.ⓘ Incremental Voltage Signal of Differential Amplifier [V_cin]

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Formula

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Incremental Voltage Signal of Differential Amplifier

Formula

`"V"_{"cin"} = ("I"_{"t"}/"g"_{"m"})+(2*"I"_{"t"}*"R"_{"out"})`

Example

`"84.7V"=("7.7mA"/"0.5mS")+(2*"7.7mA"*"4.5kΩ")`

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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)
V_cin = (I_t/g_m)+(2*I_t*R_out)
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

V_cin = (I_t/g_m)+(2*I_t*R_out) --> (0.0077/0.0005)+(2*0.0077*4500)

Evaluating ... ...

V_cin = 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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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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Jaipur Engineering College and Research Centre (JECRC), Jaipur

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< 20 Voltage Calculators

Conductance of Channel of MOSFET using Gate to Source Voltage

Go Conductance of Channel = Mobility of Electrons at Surface of Channel*Oxide Capacitance*Channel Width/Channel Length*(Gate-Source Voltage-Threshold Voltage)

Common Gate Output Voltage

Go Output Voltage = -(Transconductance*Critical Voltage)*((Load Resistance*Gate Resistance)/(Gate Resistance+Load Resistance))

Output Voltage at Drain Q1 of MOSFET given Common-Mode Signal

Go Drain Voltage Q1 = -Output Resistance*(Transconductance*Common Mode Input Signal)/(1+(2*Transconductance*Output Resistance))

Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage

Go Gate-Source Voltage = Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio))

Source Input Voltage

Go Source Input Voltage = Input Voltage*(Input Amplifier Resistance/(Input Amplifier Resistance+Equivalent Source Resistance))

Input Gate-to-Source Voltage

Go Critical Voltage = (Input Amplifier Resistance/(Input Amplifier Resistance+Equivalent Source Resistance))*Input Voltage

Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal

Go Drain Voltage Q2 = -(Output Resistance/((1/Transconductance)+2*Output Resistance))*Common Mode Input Signal

Voltage across Gate and Source of MOSFET given Input Current

Go Gate-Source Voltage = Input Current/(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance))

Positive Voltage given Device Parameter in MOSFET

Go Input Current = Gate-Source Voltage*(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance))

Overdrive Voltage when MOSFET Acts as Amplifier with Load Resistance

Go Transconductance = Total Current/(Common Mode Input Signal-(2*Total Current*Output Resistance))

Incremental Voltage Signal of Differential Amplifier

Go Common Mode Input Signal = (Total Current/Transconductance)+(2*Total Current*Output Resistance)

Voltage at Drain Q1 of MOSFET

Go Output Voltage = -(Total Load Resistance of MOSFET/(2*Output Resistance))*Common Mode Input Signal

Voltage at Drain Q2 in MOSFET

Go Output Voltage = -(Total Load Resistance of MOSFET/(2*Output Resistance))*Common Mode Input Signal

Saturation Voltage of MOSFET

Go Drain and Source Saturation Voltage = Gate-Source Voltage-Threshold Voltage

Voltage across Gate to Source of MOSFET on Differential Input Voltage given Overdrive Voltage

Go Gate-Source Voltage = Threshold Voltage+1.4*Effective Voltage

Threshold Voltage when MOSFET Acts as Amplifier

Go Threshold Voltage = Gate-Source Voltage-Effective Voltage

Treshold Voltage of MOSFET

Go Threshold Voltage = Gate-Source Voltage-Effective Voltage

Overdrive Voltage

Go Overdrive Voltage = (2*Drain Current)/Transconductance

Output Voltage at Drain Q1 of MOSFET

Go Drain Voltage Q1 = -(Output Resistance*Total Current)

Output Voltage at Drain Q2 of MOSFET

Go Drain Voltage Q2 = -(Output Resistance*Total Current)

Incremental Voltage Signal of Differential Amplifier Formula

Common Mode Input Signal = (Total Current/Transconductance)+(2*Total Current*Output Resistance)
V_cin = (I_t/g_m)+(2*I_t*R_out)

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 R_ds. 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 V_cin 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 (I_t), Transconductance (g_m) & Output Resistance (R_out) 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 V_cin = (I_t/g_m)+(2*I_t*R_out) 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 (I_t), Transconductance (g_m) & Output Resistance (R_out). 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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