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Common Mode Rejection Ratio Formula

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Common Mode Rejection Ratio indicates how much of the common-mode signal will appear in your measurement. Check FAQs

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

CMRR - Common Mode Rejection Ratio?A_d - Differential Mode Gain?A_cm - Common Mode Gain?

Common Mode Rejection Ratio Example

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Here is how the Common Mode Rejection Ratio equation looks like with Values.

Here is how the Common Mode Rejection Ratio equation looks like with Units.

Here is how the Common Mode Rejection Ratio equation looks like.

54.4032 = 20 \cdot \log 10 (\frac{105}{0.2})

54.4032dB = 20 \cdot \log 10 (\frac{105dB}{0.2dB})

54.4032 = 20 \cdot \log 10 (\frac{105}{0.2})

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Common Mode Rejection Ratio Solution

Follow our step by step solution on how to calculate Common Mode Rejection Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

CMRR = 20 \cdot \log 10 (\frac{105dB}{0.2dB})

Next Step Prepare to Evaluate

∴

CMRR = 20 \cdot \log 10 (\frac{105}{0.2})

Next Step Evaluate

∴

CMRR = 54.4031860681191dB

LAST Step Rounding Answer

∴

CMRR = 54.4032dB

Common Mode Rejection Ratio Formula Elements

Variables

Functions

Common Mode Rejection Ratio

Common Mode Rejection Ratio indicates how much of the common-mode signal will appear in your measurement.

Symbol: CMRR

Measurement: NoiseUnit: dB

Note: Value can be positive or negative.

Formulas to find Common Mode Rejection Ratio

Differential Mode Gain

The differential mode gain of BJT is a measure of how much the output voltage of a circuit changes in response to a differential input voltage applied to base terminals.

Symbol: A_d

Measurement: NoiseUnit: dB

Note: Value should be greater than 0.

Formulas to find Differential Mode Gain

Common Mode Gain

Common Mode Gain is typically much smaller than the differential gain. Acm is the gain given to a voltage that appears on both input terminals with respect to the ground.

Symbol: A_cm

Measurement: NoiseUnit: dB

Note: Value can be positive or negative.

Formulas to find Common Mode Gain

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.

Syntax: log10(Number)

Other formulas in Common Mode Rejection Ratio (CMRR) category

Go Common-Base Current Gain

α = \frac{β}{β + 1}

Go Intrinsic Gain of BJT

A o = \frac{V A}{V t}

Go Total Power Dissipated in BJT

P = V CE \cdot I c + V BE \cdot I B

Go Base Current of PNP Transistor given Emitter Current

I B = \frac{I e}{β + 1}

How to Evaluate Common Mode Rejection Ratio?

Common Mode Rejection Ratio evaluator uses Common Mode Rejection Ratio = 20*log10(Differential Mode Gain/Common Mode Gain) to evaluate the Common Mode Rejection Ratio, Common Mode Rejection Ratio -> The efficiency of a differential amplifier is measured by the degree of its rejection of common-mode signals in preference to differential signals. This is usually quantified by a measure known as the common-mode rejection ratio (CMRR). Common Mode Rejection Ratio is denoted by CMRR symbol.

How to evaluate Common Mode Rejection Ratio using this online evaluator? To use this online evaluator for Common Mode Rejection Ratio, enter Differential Mode Gain (A_d) & Common Mode Gain (A_cm) and hit the calculate button.

FAQs on Common Mode Rejection Ratio

What is the formula to find Common Mode Rejection Ratio?

The formula of Common Mode Rejection Ratio is expressed as Common Mode Rejection Ratio = 20*log10(Differential Mode Gain/Common Mode Gain). Here is an example- 54.40319 = 20*log10(105/0.2).

How to calculate Common Mode Rejection Ratio?

With Differential Mode Gain (A_d) & Common Mode Gain (A_cm) we can find Common Mode Rejection Ratio using the formula - Common Mode Rejection Ratio = 20*log10(Differential Mode Gain/Common Mode Gain). This formula also uses Common Logarithm (log10) function(s).

Can the Common Mode Rejection Ratio be negative?

Yes, the Common Mode Rejection Ratio, measured in Noise can be negative.

Which unit is used to measure Common Mode Rejection Ratio?

Common Mode Rejection Ratio is usually measured using the Decibel[dB] for Noise. Neper[dB], MilliDecibel[dB] are the few other units in which Common Mode Rejection Ratio can be measured.

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Common Mode Rejection Ratio Formula

Common Mode Rejection Ratio Example

Common Mode Rejection Ratio Solution

Common Mode Rejection Ratio Formula Elements

Other formulas in Common Mode Rejection Ratio (CMRR) category

How to Evaluate Common Mode Rejection Ratio?

FAQs on Common Mode Rejection Ratio

Variable Name