Common Mode Rejection Ratio Calculator

✖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.ⓘ Differential Mode Gain [A_d]			+10% -10%
✖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.ⓘ Common Mode Gain [A_cm]			+10% -10%

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

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Common Mode Rejection Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Common Mode Rejection Ratio = 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

Common Mode Rejection Ratio - (Measured in Decibel) - Common Mode Rejection Ratio indicates how much of the common-mode signal will appear in your measurement.
Differential Mode Gain - (Measured in Decibel) - 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.
Common Mode Gain - (Measured in Decibel) - 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.

STEP 1: Convert Input(s) to Base Unit

Differential Mode Gain: 105 Decibel --> 105 Decibel No Conversion Required
Common Mode Gain: 0.2 Decibel --> 0.2 Decibel No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

CMRR = 20*log10(A_d/A_cm) --> 20*log10(105/0.2)

Evaluating ... ...

CMRR = 54.4031860681191

STEP 3: Convert Result to Output's Unit

54.4031860681191 Decibel --> No Conversion Required

FINAL ANSWER

54.4031860681191 ≈ 54.40319 Decibel <-- Common Mode Rejection Ratio

(Calculation completed in 00.004 seconds)

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

Prahalad Singh has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< Common Mode Rejection Ratio (CMRR) Calculators

Common Mode Input Resistance of BJT Half-Circuit

LaTeX Go Input Resistance = (Common Emitter Current Gain*Output Resistance)*((1+(Load Resistance/(Common Emitter Current Gain*Output Resistance)))/(1+((Load Resistance+(2*Output Resistance))/Output Resistance)))

Common Mode Rejection Ratio of BJT

LaTeX Go Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Collector Resistance/Collector Resistance)

Common Mode Rejection Ratio

LaTeX Go Common Mode Rejection Ratio = 20*log10(Differential Mode Gain/Common Mode Gain)

< BJT Circuit Calculators

Total Power Dissipated in BJT

LaTeX Go Power = Collector-Emitter Voltage*Collector Current+Base-Emitter Voltage*Base Current

Common Mode Rejection Ratio

LaTeX Go Common Mode Rejection Ratio = 20*log10(Differential Mode Gain/Common Mode Gain)

Common-Base Current Gain

LaTeX Go Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1)

Intrinsic Gain of BJT

LaTeX Go Intrinsic Gain = Early Voltage/Thermal Voltage

Common Mode Rejection Ratio Formula

LaTeX Go

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

Differential Mode Gain

Differential Mode Gain measured in db and denoted as Ad. The gain given to a voltage that appears between the two input terminals. It represents two different voltages on the inputs.

Common Mode Gain

Common Mode Gain measured in db and denoted as Acm. The gain given to a voltage that appears on both input terminals with respect to ground. This it the same input on both terminals

How to Calculate Common Mode Rejection Ratio?

Common Mode Rejection Ratio calculator uses Common Mode Rejection Ratio = 20*log10(Differential Mode Gain/Common Mode Gain) to calculate 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 calculate Common Mode Rejection Ratio using this online calculator? To use this online calculator for Common Mode Rejection Ratio, enter Differential Mode Gain (A_d) & Common Mode Gain (A_cm) and hit the calculate button. Here is how the Common Mode Rejection Ratio calculation can be explained with given input values -> 54.40319 = 20*log10(105/0.2).

FAQ

What is 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) and is represented as CMRR = 20*log10(A_d/A_cm) or Common Mode Rejection Ratio = 20*log10(Differential Mode Gain/Common 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 & 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.

How to calculate 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) is calculated using Common Mode Rejection Ratio = 20*log10(Differential Mode Gain/Common Mode Gain). To calculate Common Mode Rejection Ratio, 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.

How many ways are there to calculate Common Mode Rejection Ratio?

In this formula, Common Mode Rejection Ratio uses Differential Mode Gain & Common Mode Gain. We can use 1 other way(s) to calculate the same, which is/are as follows -

Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Collector Resistance/Collector Resistance)

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