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Common Mode Gain of Difference Amplifiers Formula

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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. Check FAQs

A cm = (\frac{R 4}{R 4 + R 3}) \cdot (1 - (\frac{R 2 \cdot R 3}{R 1 \cdot R 4}))

A_cm - Common Mode Gain?R₄ - Resistance 4?R₃ - Resistance 3?R₂ - Resistance 2?R₁ - Resistance 1?

Common Mode Gain of Difference Amplifiers Example

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Here is how the Common Mode Gain of Difference Amplifiers equation looks like with Values.

Here is how the Common Mode Gain of Difference Amplifiers equation looks like with Units.

Here is how the Common Mode Gain of Difference Amplifiers equation looks like.

0.1977 = (\frac{10.35}{10.35 + 9.25}) \cdot (1 - (\frac{8.75 \cdot 9.25}{12.5 \cdot 10.35}))

0.1977 = (\frac{10.35kΩ}{10.35kΩ + 9.25kΩ}) \cdot (1 - (\frac{8.75kΩ \cdot 9.25kΩ}{12.5kΩ \cdot 10.35kΩ}))

0.1977 = (\frac{10.35}{10.35 + 9.25}) \cdot (1 - (\frac{8.75 \cdot 9.25}{12.5 \cdot 10.35}))

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Common Mode Gain of Difference Amplifiers Solution

Follow our step by step solution on how to calculate Common Mode Gain of Difference Amplifiers?

FIRST Step Consider the formula

A cm = (\frac{R 4}{R 4 + R 3}) \cdot (1 - (\frac{R 2 \cdot R 3}{R 1 \cdot R 4}))

Next Step Substitute values of Variables

∴

A cm = (\frac{10.35kΩ}{10.35kΩ + 9.25kΩ}) \cdot (1 - (\frac{8.75kΩ \cdot 9.25kΩ}{12.5kΩ \cdot 10.35kΩ}))

Next Step Convert Units

∴

A cm = (\frac{10350Ω}{10350Ω + 9250Ω}) \cdot (1 - (\frac{8750Ω \cdot 9250Ω}{12500Ω \cdot 10350Ω}))

Next Step Prepare to Evaluate

∴

A cm = (\frac{10350}{10350 + 9250}) \cdot (1 - (\frac{8750 \cdot 9250}{12500 \cdot 10350}))

Next Step Evaluate

∴

A cm = 0.197704081632653

LAST Step Rounding Answer

∴

A cm = 0.1977

Common Mode Gain of Difference Amplifiers Formula Elements

Variables

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.

Symbol: A_cm

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Common Mode Gain

Resistance 4

Resistance 4 is a measure of the opposition to current flow in an electrical circuit.

Symbol: R₄

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Resistance 4

Resistance 3

Resistance 3 is a measure of the opposition to current flow in an electrical circuit.

Symbol: R₃

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Resistance 3

Resistance 2

Resistance 2 is a measure of the opposition to current flow in an electrical circuit.

Symbol: R₂

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Resistance 2

Resistance 1

Resistance 1 is a measure of the opposition to current flow in an electrical circuit.

Symbol: R₁

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Resistance 1

Other formulas in Integrator and Difference category

Go Common Mode Rejection Ratio of Difference Amplifiers

CMRR = 20 \cdot \log 10 (\frac{A d}{A cm})

Go Output Voltage 1 of Difference Amplifier

V 1 = - (\frac{R 2}{R 1}) \cdot V n

Go Output Voltage 2 of Difference Amplifier

V 2 = (\frac{R 2}{R 1}) \cdot V p

Go Output Voltage of Difference Amplifier

V o = (\frac{R 2}{R 1}) \cdot (V p - (V n))

How to Evaluate Common Mode Gain of Difference Amplifiers?

Common Mode Gain of Difference Amplifiers evaluator uses Common Mode Gain = (Resistance 4/(Resistance 4+Resistance 3))*(1-((Resistance 2*Resistance 3)/(Resistance 1*Resistance 4))) to evaluate 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 evaluate Common Mode Gain of Difference Amplifiers using this online evaluator? To use this online evaluator 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.

FAQs on Common Mode Gain of Difference Amplifiers

What is the formula to find Common Mode Gain of Difference Amplifiers?

The formula of Common Mode Gain of Difference Amplifiers is expressed as Common Mode Gain = (Resistance 4/(Resistance 4+Resistance 3))*(1-((Resistance 2*Resistance 3)/(Resistance 1*Resistance 4))). Here is an example- 0.197704 = (10.35/(10.35+9.25))*(1-((8750*9.25)/(12500*10.35))).

How to calculate Common Mode Gain of Difference Amplifiers?

With Resistance 4 (R₄), Resistance 3 (R₃), Resistance 2 (R₂) & Resistance 1 (R₁) we can find Common Mode Gain of Difference Amplifiers using the formula - Common Mode Gain = (Resistance 4/(Resistance 4+Resistance 3))*(1-((Resistance 2*Resistance 3)/(Resistance 1*Resistance 4))).

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Common Mode Gain of Difference Amplifiers Formula

Common Mode Gain of Difference Amplifiers Example

Common Mode Gain of Difference Amplifiers Solution

Common Mode Gain of Difference Amplifiers Formula Elements

Other formulas in Integrator and Difference category

How to Evaluate Common Mode Gain of Difference Amplifiers?

FAQs on Common Mode Gain of Difference Amplifiers

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