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Relative Attenuation Formula

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Relative Attenuation is defined as the reduction in the intensity or power of light as it passes through a material or medium, often in comparison to a reference material or medium. Check FAQs

α m = 10 \cdot \log 10 (\frac{P s}{P m})

α_m - Relative Attenuation?P_s - Total Power?P_m - Spectral Power?

Relative Attenuation Example

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Here is how the Relative Attenuation equation looks like with Values.

Here is how the Relative Attenuation equation looks like with Units.

Here is how the Relative Attenuation equation looks like.

3.4242 = 10 \cdot \log 10 (\frac{5.5}{2.5})

3.4242dB/m = 10 \cdot \log 10 (\frac{5.5W}{2.5W})

3.4242 = 10 \cdot \log 10 (\frac{5.5}{2.5})

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Relative Attenuation Solution

Follow our step by step solution on how to calculate Relative Attenuation?

FIRST Step Consider the formula

α m = 10 \cdot \log 10 (\frac{P s}{P m})

Next Step Substitute values of Variables

∴

α m = 10 \cdot \log 10 (\frac{5.5W}{2.5W})

Next Step Prepare to Evaluate

∴

α m = 10 \cdot \log 10 (\frac{5.5}{2.5})

Next Step Evaluate

∴

α m = 3.42422680822206dB/m

LAST Step Rounding Answer

∴

α m = 3.4242dB/m

Relative Attenuation Formula Elements

Variables

Functions

Relative Attenuation

Relative Attenuation is defined as the reduction in the intensity or power of light as it passes through a material or medium, often in comparison to a reference material or medium.

Symbol: α_m

Measurement: AttenuationUnit: dB/m

Note: Value should be greater than 0.

Formulas to find Relative Attenuation

Total Power

Total Power is the measurement of all the power transmitted through the fiber.

Symbol: P_s

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Total Power

Spectral Power

Spectral Power refers to the distribution of power or intensity of electromagnetic radiation as a function of its wavelength or frequency.

Symbol: P_m

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Spectral Power

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 Transmission Measurements category

Go Optical Attenuation

α dB = \frac{10}{L 1 - L 2} \cdot \log 10 (\frac{V 2}{V 1})

Go Absorption Loss

α abs = \frac{C \cdot T ∞}{P opt \cdot t c}

Go Time Constant of Calorimeter

t c = \frac{t 2 - t 1}{\ln (T ∞ - T t1) - \ln (T ∞ - T t2)}

Go Scattering Loss

α sc = (\frac{4.343 \cdot 10^{5}}{l}) \cdot (\frac{V sc}{V opt})

How to Evaluate Relative Attenuation?

Relative Attenuation evaluator uses Relative Attenuation = 10*log10(Total Power/Spectral Power) to evaluate the Relative Attenuation, Relative Attenuation in optics refers to the reduction in the intensity or power of light as it passes through a material or medium, often in comparison to a reference material or medium. It is a measure of how much the light is absorbed, scattered, or otherwise diminished as it travels through the substance. Relative Attenuation is denoted by α_m symbol.

How to evaluate Relative Attenuation using this online evaluator? To use this online evaluator for Relative Attenuation, enter Total Power (P_s) & Spectral Power (P_m) and hit the calculate button.

FAQs on Relative Attenuation

What is the formula to find Relative Attenuation?

The formula of Relative Attenuation is expressed as Relative Attenuation = 10*log10(Total Power/Spectral Power). Here is an example- 3.424227 = 10*log10(5.5/2.5).

How to calculate Relative Attenuation?

With Total Power (P_s) & Spectral Power (P_m) we can find Relative Attenuation using the formula - Relative Attenuation = 10*log10(Total Power/Spectral Power). This formula also uses Common Logarithm Function function(s).

Can the Relative Attenuation be negative?

No, the Relative Attenuation, measured in Attenuation cannot be negative.

Which unit is used to measure Relative Attenuation?

Relative Attenuation is usually measured using the Decibel per Meter[dB/m] for Attenuation. Neper per Meter[dB/m], Decibel per Kilometer[dB/m] are the few other units in which Relative Attenuation can be measured.

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Relative Attenuation Formula

Relative Attenuation Example

Relative Attenuation Solution

Relative Attenuation Formula Elements

Other formulas in Transmission Measurements category

How to Evaluate Relative Attenuation?

FAQs on Relative Attenuation

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