Common Mode Gain of Difference Amplifiers Calculator

✖Resistance 4 is a measure of the opposition to current flow in an electrical circuit.ⓘ Resistance 4 [R₄]			+10% -10%
✖Resistance 3 is a measure of the opposition to current flow in an electrical circuit.ⓘ Resistance 3 [R₃]			+10% -10%
✖Resistance 2 is a measure of the opposition to current flow in an electrical circuit.ⓘ Resistance 2 [R₂]			+10% -10%
✖Resistance 1 is a measure of the opposition to current flow in an electrical circuit.ⓘ Resistance 1 [R₁]			+10% -10%

✖Common Mode Gain is typically much smaller than the differential gain. A_cm is the gain given to a voltage that appears on both input terminals with respect to the ground.ⓘ Common Mode Gain of Difference Amplifiers [A_cm]

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Formula

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Common Mode Gain of Difference Amplifiers

Formula

`"A"_{"cm"} = ("R"_{"4"}/("R"_{"4"}+"R"_{"3"}))*(1-(("R"_{"2"}*"R"_{"3"})/("R"_{"1"}*"R"_{"4"})))`

Example

`"0.197704"=("10.35kΩ"/("10.35kΩ"+"9.25kΩ"))*(1-(("8.75kΩ"*"9.25kΩ")/("12.5kΩ"*"10.35kΩ")))`

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Common Mode Gain of Difference Amplifiers Solution

STEP 0: Pre-Calculation Summary

Formula Used

Common Mode Gain = (Resistance 4/(Resistance 4+Resistance 3))*(1-((Resistance 2*Resistance 3)/(Resistance 1*Resistance 4)))
A_cm = (R₄/(R₄+R₃))*(1-((R₂*R₃)/(R₁*R₄)))
This formula uses 5 Variables

Variables Used

Common Mode Gain - Common Mode Gain is typically much smaller than the differential gain. A_cm is the gain given to a voltage that appears on both input terminals with respect to the ground.
Resistance 4 - (Measured in Ohm) - Resistance 4 is a measure of the opposition to current flow in an electrical circuit.
Resistance 3 - (Measured in Ohm) - Resistance 3 is a measure of the opposition to current flow in an electrical circuit.
Resistance 2 - (Measured in Ohm) - Resistance 2 is a measure of the opposition to current flow in an electrical circuit.
Resistance 1 - (Measured in Ohm) - Resistance 1 is a measure of the opposition to current flow in an electrical circuit.

STEP 1: Convert Input(s) to Base Unit

Resistance 4: 10.35 Kilohm --> 10350 Ohm (Check conversion here)
Resistance 3: 9.25 Kilohm --> 9250 Ohm (Check conversion here)
Resistance 2: 8.75 Kilohm --> 8750 Ohm (Check conversion here)
Resistance 1: 12.5 Kilohm --> 12500 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_cm = (R₄/(R₄+R₃))*(1-((R₂*R₃)/(R₁*R₄))) --> (10350/(10350+9250))*(1-((8750*9250)/(12500*10350)))

Evaluating ... ...

A_cm = 0.197704081632653

STEP 3: Convert Result to Output's Unit

0.197704081632653 --> No Conversion Required

FINAL ANSWER

0.197704081632653 ≈ 0.197704 <-- Common Mode Gain

(Calculation completed in 00.004 seconds)

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< 8 Integrator & Difference Calculators

Common Mode Gain of Difference Amplifiers

Go Common Mode Gain = (Resistance 4/(Resistance 4+Resistance 3))*(1-((Resistance 2*Resistance 3)/(Resistance 1*Resistance 4)))

Output Voltage of Difference Amplifier

Go Output Voltage = (Resistance 2/Resistance 1)*(Positive Terminal Voltage-(Negative Terminal Voltage))

Output Voltage 1 of Difference Amplifier

Go Output Voltage 1 = -(Resistance 2/Resistance 1)*Negative Terminal Voltage

Output Voltage 2 of Difference Amplifier

Go Output Voltage 2 = (Resistance 2/Resistance 1)*Positive Terminal Voltage

Common Mode Rejection Ratio of Difference Amplifiers

Go CMRR = 20*log10((Differential Mode Gain)/(Common Mode Gain))

Differential Gain of Difference Amplifier

Go Differential Mode Gain = Resistance 2/Resistance 1

Integrator Frequency

Go Integrator Frequency = 1/(Resistance*Capacitance)

Gain of Feedback Operational Amplifier

Go Open Loop Gain = 1/Feedback Factor

Common Mode Gain of Difference Amplifiers Formula

Common Mode Gain = (Resistance 4/(Resistance 4+Resistance 3))*(1-((Resistance 2*Resistance 3)/(Resistance 1*Resistance 4)))
A_cm = (R₄/(R₄+R₃))*(1-((R₂*R₃)/(R₁*R₄)))

What is finite offset current? What is difference amplifier?

Finite offset current is the difference between the two input sources connected to the two terminals of the amplifier. A differential amplifier is a type of electronic amplifier that amplifies the difference between two input voltages but suppresses any voltage common to the two inputs.

How to Calculate Common Mode Gain of Difference Amplifiers?

Common Mode Gain of Difference Amplifiers calculator uses Common Mode Gain = (Resistance 4/(Resistance 4+Resistance 3))*(1-((Resistance 2*Resistance 3)/(Resistance 1*Resistance 4))) to calculate the Common Mode Gain, Common Mode Gain of Difference Amplifiers represents the amplifier's response to signals that are present in-phase (common-mode) on both of its input terminals. In contrast, the differential gain represents the amplifier's response to signals that are out-of-phase (differential) between its input terminals. Common Mode Gain is denoted by A_cm symbol.

How to calculate Common Mode Gain of Difference Amplifiers using this online calculator? To use this online calculator for Common Mode Gain of Difference Amplifiers, enter Resistance 4 (R₄), Resistance 3 (R₃), Resistance 2 (R₂) & Resistance 1 (R₁) and hit the calculate button. Here is how the Common Mode Gain of Difference Amplifiers calculation can be explained with given input values -> 0.197704 = (10.35/(10.35+9.25))*(1-((8750*9.25)/(12500*10.35))).

FAQ

What is Common Mode Gain of Difference Amplifiers?

Common Mode Gain of Difference Amplifiers represents the amplifier's response to signals that are present in-phase (common-mode) on both of its input terminals. In contrast, the differential gain represents the amplifier's response to signals that are out-of-phase (differential) between its input terminals and is represented as A_cm = (R₄/(R₄+R₃))*(1-((R₂*R₃)/(R₁*R₄))) or Common Mode Gain = (Resistance 4/(Resistance 4+Resistance 3))*(1-((Resistance 2*Resistance 3)/(Resistance 1*Resistance 4))). Resistance 4 is a measure of the opposition to current flow in an electrical circuit, Resistance 3 is a measure of the opposition to current flow in an electrical circuit, Resistance 2 is a measure of the opposition to current flow in an electrical circuit & Resistance 1 is a measure of the opposition to current flow in an electrical circuit.

How to calculate Common Mode Gain of Difference Amplifiers?

Common Mode Gain of Difference Amplifiers represents the amplifier's response to signals that are present in-phase (common-mode) on both of its input terminals. In contrast, the differential gain represents the amplifier's response to signals that are out-of-phase (differential) between its input terminals is calculated using Common Mode Gain = (Resistance 4/(Resistance 4+Resistance 3))*(1-((Resistance 2*Resistance 3)/(Resistance 1*Resistance 4))). To calculate Common Mode Gain of Difference Amplifiers, you need Resistance 4 (R₄), Resistance 3 (R₃), Resistance 2 (R₂) & Resistance 1 (R₁). With our tool, you need to enter the respective value for Resistance 4, Resistance 3, Resistance 2 & Resistance 1 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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