Common Mode Rejection Ratio of Difference Amplifiers Calculator

✖Differential mode gain is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2.ⓘ Differential Mode Gain [A_d]			+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 [A_cm]			+10% -10%

✖CMRR indicates how much of the common-mode signal will appear in your measurement.ⓘ Common Mode Rejection Ratio of Difference Amplifiers

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Formula

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Common Mode Rejection Ratio of Difference Amplifiers

Formula

`"CMRR" = 20*log10(("A"_{"d"})/("A"_{"cm"}))`

Example

`"10.98183dB"=20*log10(("0.7")/("0.1977"))`

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Common Mode Rejection Ratio of Difference Amplifiers Solution

STEP 0: Pre-Calculation Summary

Formula Used

CMRR = 20*log10((Differential Mode Gain)/(Common Mode Gain))
CMRR = 20*log10((A_d)/(A_cm))
This formula uses 1 Functions, 3 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

CMRR - (Measured in Decibel) - CMRR indicates how much of the common-mode signal will appear in your measurement.
Differential Mode Gain - Differential mode gain is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2.
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.

STEP 1: Convert Input(s) to Base Unit

Differential Mode Gain: 0.7 --> No Conversion Required
Common Mode Gain: 0.1977 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

CMRR = 20*log10((A_d)/(A_cm)) --> 20*log10((0.7)/(0.1977))

Evaluating ... ...

CMRR = 10.9818274140117

STEP 3: Convert Result to Output's Unit

10.9818274140117 Decibel --> No Conversion Required

FINAL ANSWER

10.9818274140117 ≈ 10.98183 Decibel <-- CMRR

(Calculation completed in 00.004 seconds)

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Vellore Institute of Technology (VIT), Vellore

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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 Rejection Ratio of Difference Amplifiers Formula

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

What is Common-mode rejection ratio?

The common mode rejection ratio of a differential amplifier is a metric used to quantify the ability of the device to reject common-mode signals, i.e. those that appear simultaneously and in-phase on both inputs.

What is Differential Amplifier?

The difference amplifiers amplify the difference between two voltages making this type of operational amplifier circuit a Subtractor unlike a summing amplifier which adds or sums together the input voltages.

How to Calculate Common Mode Rejection Ratio of Difference Amplifiers?

Common Mode Rejection Ratio of Difference Amplifiers calculator uses CMRR = 20*log10((Differential Mode Gain)/(Common Mode Gain)) to calculate the CMRR, The Common Mode Rejection Ratio of Difference Amplifiers indicates how much of the common-mode signal will appear in your measurement. CMRR is denoted by CMRR symbol.

How to calculate Common Mode Rejection Ratio of Difference Amplifiers using this online calculator? To use this online calculator for Common Mode Rejection Ratio of Difference Amplifiers, enter Differential Mode Gain (A_d) & Common Mode Gain (A_cm) and hit the calculate button. Here is how the Common Mode Rejection Ratio of Difference Amplifiers calculation can be explained with given input values -> 10.98183 = 20*log10((0.7)/(0.1977)).

FAQ

What is Common Mode Rejection Ratio of Difference Amplifiers?

The Common Mode Rejection Ratio of Difference Amplifiers indicates how much of the common-mode signal will appear in your measurement and is represented as CMRR = 20*log10((A_d)/(A_cm)) or CMRR = 20*log10((Differential Mode Gain)/(Common Mode Gain)). Differential mode gain is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2 & 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.

How to calculate Common Mode Rejection Ratio of Difference Amplifiers?

The Common Mode Rejection Ratio of Difference Amplifiers indicates how much of the common-mode signal will appear in your measurement is calculated using CMRR = 20*log10((Differential Mode Gain)/(Common Mode Gain)). To calculate Common Mode Rejection Ratio of Difference Amplifiers, you need Differential Mode Gain (A_d) & Common Mode Gain (A_cm). With our tool, you need to enter the respective value for Differential Mode Gain & Common Mode Gain 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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