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Common Mode Rejection Ratio of BJT Differential Amplifier in dB Formula

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Common Mode Rejection Ratio is the ratio of the common-mode gain to differential-mode gain. Check FAQs

CMRR = 20 \cdot \log 10 (mod \underset{̲}{u} s (\frac{A d}{A cm}))

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

Common Mode Rejection Ratio of BJT Differential Amplifier in dB Example

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Here is how the Common Mode Rejection Ratio of BJT Differential Amplifier in dB equation looks like with Values.

Here is how the Common Mode Rejection Ratio of BJT Differential Amplifier in dB equation looks like with Units.

Here is how the Common Mode Rejection Ratio of BJT Differential Amplifier in dB equation looks like.

-18.382 = 20 \cdot \log 10 (mod \underset{̲}{u} s (\frac{0.253}{2.1}))

-18.382dB = 20 \cdot \log 10 (mod \underset{̲}{u} s (\frac{0.253dB}{2.1}))

-18.382 = 20 \cdot \log 10 (mod \underset{̲}{u} s (\frac{0.253}{2.1}))

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Common Mode Rejection Ratio of BJT Differential Amplifier in dB Solution

Follow our step by step solution on how to calculate Common Mode Rejection Ratio of BJT Differential Amplifier in dB?

FIRST Step Consider the formula

CMRR = 20 \cdot \log 10 (mod \underset{̲}{u} s (\frac{A d}{A cm}))

Next Step Substitute values of Variables

∴

CMRR = 20 \cdot \log 10 (mod \underset{̲}{u} s (\frac{0.253dB}{2.1}))

Next Step Prepare to Evaluate

∴

CMRR = 20 \cdot \log 10 (mod \underset{̲}{u} s (\frac{0.253}{2.1}))

Next Step Evaluate

∴

CMRR = -18.381975471162dB

LAST Step Rounding Answer

∴

CMRR = -18.382dB

Common Mode Rejection Ratio of BJT Differential Amplifier in dB Formula Elements

Variables

Functions

Common Mode Rejection Ratio

Common Mode Rejection Ratio is the ratio of the common-mode gain to differential-mode gain.

Symbol: CMRR

Measurement: NoiseUnit: dB

Note: Value can be positive or negative.

Formulas to find Common Mode Rejection Ratio

Differential Gain

Differential Gain is defined as when a differential input is supplied i.e. input 1 is not equal to input 2.

Symbol: A_d

Measurement: NoiseUnit: dB

Note: Value can be positive or negative.

Formulas to find Differential Gain

Common Mode Gain

Common Mode Gain refers to the amplification given to signals that appear on both inputs relative to the common (typically ground).

Symbol: A_cm

Measurement: NAUnit: Unitless

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)

modulus

Modulus of a number is the remainder when that number is divided by another number.

Syntax: modulus

Other formulas in DC Offset category

Go Input Offset Current of Differential Amplifier

I os = mod \underset{̲}{u} s (I B1 - I B2)

Go Common Mode Gain of BJT Differential Amplifier

A cm = \frac{V od}{V id}

Go Input Offset Voltage of BJT Differential Amplifier

V os = V th \cdot (\frac{ΔR c}{R C})

How to Evaluate Common Mode Rejection Ratio of BJT Differential Amplifier in dB?

Common Mode Rejection Ratio of BJT Differential Amplifier in dB evaluator uses Common Mode Rejection Ratio = 20*log10(modulus(Differential Gain/Common Mode Gain)) to evaluate the Common Mode Rejection Ratio, Common Mode Rejection Ratio of BJT Differential Amplifier in dB is defined as the ratio of the common-mode gain to differential-mode gain. Common Mode Rejection Ratio is denoted by CMRR symbol.

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

FAQs on Common Mode Rejection Ratio of BJT Differential Amplifier in dB

What is the formula to find Common Mode Rejection Ratio of BJT Differential Amplifier in dB?

The formula of Common Mode Rejection Ratio of BJT Differential Amplifier in dB is expressed as Common Mode Rejection Ratio = 20*log10(modulus(Differential Gain/Common Mode Gain)). Here is an example- -18.381975 = 20*log10(modulus(0.253/2.1)).

How to calculate Common Mode Rejection Ratio of BJT Differential Amplifier in dB?

With Differential Gain (A_d) & Common Mode Gain (A_cm) we can find Common Mode Rejection Ratio of BJT Differential Amplifier in dB using the formula - Common Mode Rejection Ratio = 20*log10(modulus(Differential Gain/Common Mode Gain)). This formula also uses Common Logarithm Function, "Modulus Function" function(s).

Can the Common Mode Rejection Ratio of BJT Differential Amplifier in dB be negative?

Yes, the Common Mode Rejection Ratio of BJT Differential Amplifier in dB, measured in Noise can be negative.

Which unit is used to measure Common Mode Rejection Ratio of BJT Differential Amplifier in dB?

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

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Common Mode Rejection Ratio of BJT Differential Amplifier in dB Formula

Common Mode Rejection Ratio of BJT Differential Amplifier in dB Example

Common Mode Rejection Ratio of BJT Differential Amplifier in dB Solution

Common Mode Rejection Ratio of BJT Differential Amplifier in dB Formula Elements

Other formulas in DC Offset category

How to Evaluate Common Mode Rejection Ratio of BJT Differential Amplifier in dB?

FAQs on Common Mode Rejection Ratio of BJT Differential Amplifier in dB

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