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Sound Level in Bels Formula

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The Sound Level in Bels refers to the intensity of sound. It is measured in bels. Check FAQs

L b = \log 10 (\frac{I}{I o})

L_b - Sound Level in Bels?I - Sound Intensity Level?I_o - Standard Sound Intensity?

Sound Level in Bels Example

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Here is how the Sound Level in Bels equation looks like with Values.

Here is how the Sound Level in Bels equation looks like with Units.

Here is how the Sound Level in Bels equation looks like.

0.2 = \log 10 (\frac{1E-10}{1E-12})

0.2B = \log 10 (\frac{1E-10W/m²}{1E-12W/m²})

0.2 = \log 10 (\frac{1E-10}{1E-12})

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Sound Level in Bels Solution

Follow our step by step solution on how to calculate Sound Level in Bels?

FIRST Step Consider the formula

L b = \log 10 (\frac{I}{I o})

Next Step Substitute values of Variables

∴

L b = \log 10 (\frac{1E-10W/m²}{1E-12W/m²})

Next Step Prepare to Evaluate

∴

L b = \log 10 (\frac{1E-10}{1E-12})

Next Step Evaluate

∴

L b = 2dB

LAST Step Convert to Output's Unit

∴

L b = 0.2B

Sound Level in Bels Formula Elements

Variables

Functions

Sound Level in Bels

The Sound Level in Bels refers to the intensity of sound. It is measured in bels.

Symbol: L_b

Measurement: SoundUnit: B

Note: Value should be greater than 0.

Formulas to find Sound Level in Bels

Sound Intensity Level

The Sound Intensity Level refers to the logarithmic measure of the sound power per unit area, expressed in decibels (dB).

Symbol: I

Measurement: IntensityUnit: W/m²

Note: Value should be greater than 0.

Formulas to find Sound Intensity Level

Standard Sound Intensity

The Standard Sound Intensity refers to the reference sound power per unit area, typically taken as watts per square meter.

Symbol: I_o

Measurement: IntensityUnit: W/m²

Note: Value should be greater than 0.

Formulas to find Standard Sound Intensity

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 Levels of Noise category

Go Sound Intensity given Sound Level in Bels

I = I o \cdot 10^{L b}

Go Standard Sound Intensity given Sound Level in Bels

I o = \frac{I}{10^{L b}}

Go Sound Level in Decibels

L = 10 \cdot \log 10 (\frac{I}{I o})

Go Sound Intensity given Sound Level in Decibels

I = (I o) \cdot 10^{\frac{L}{10}}

How to Evaluate Sound Level in Bels?

Sound Level in Bels evaluator uses Sound Level in Bels = log10(Sound Intensity Level/Standard Sound Intensity) to evaluate the Sound Level in Bels, The Sound Level in Bels formula is defined as the logarithmic measure of sound intensity relative to a reference intensity, with 1 bel representing a tenfold increase in intensity. Sound Level in Bels is denoted by L_b symbol.

How to evaluate Sound Level in Bels using this online evaluator? To use this online evaluator for Sound Level in Bels, enter Sound Intensity Level (I) & Standard Sound Intensity (I_o) and hit the calculate button.

FAQs on Sound Level in Bels

What is the formula to find Sound Level in Bels?

The formula of Sound Level in Bels is expressed as Sound Level in Bels = log10(Sound Intensity Level/Standard Sound Intensity). Here is an example- 0.02 = log10(1E-10/1E-12).

How to calculate Sound Level in Bels?

With Sound Intensity Level (I) & Standard Sound Intensity (I_o) we can find Sound Level in Bels using the formula - Sound Level in Bels = log10(Sound Intensity Level/Standard Sound Intensity). This formula also uses Common Logarithm Function function(s).

Can the Sound Level in Bels be negative?

No, the Sound Level in Bels, measured in Sound cannot be negative.

Which unit is used to measure Sound Level in Bels?

Sound Level in Bels is usually measured using the Bel[B] for Sound. Decibel[B], Neper[B] are the few other units in which Sound Level in Bels can be measured.

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Sound Level in Bels Formula

Sound Level in Bels Example

Sound Level in Bels Solution

Sound Level in Bels Formula Elements

Other formulas in Levels of Noise category

How to Evaluate Sound Level in Bels?

FAQs on Sound Level in Bels

Variable Name