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Sound Intensity Level Formula

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Sound Level in Decibels (dB) is the logarithmic measure of the ratio of a particular sound pressure to a reference sound pressure. Check FAQs

L = 10 \cdot \log 10 (\frac{I}{10^{- 12}})

L - Sound Level in Decibels?I - Sound Intensity Level?

Sound Intensity Level Example

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

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

Here is how the Sound Intensity Level equation looks like.

20 = 10 \cdot \log 10 (\frac{1E-10}{10^{- 12}})

20dB = 10 \cdot \log 10 (\frac{1E-10W/m²}{10^{- 12}})

20 = 10 \cdot \log 10 (\frac{1E-10}{10^{- 12}})

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Sound Intensity Level Solution

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

FIRST Step Consider the formula

L = 10 \cdot \log 10 (\frac{I}{10^{- 12}})

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

LAST Step Evaluate

∴

L = 20dB

Sound Intensity Level Formula Elements

Variables

Functions

Sound Level in Decibels

Sound Level in Decibels (dB) is the logarithmic measure of the ratio of a particular sound pressure to a reference sound pressure.

Symbol: L

Measurement: SoundUnit: dB

Note: Value should be greater than 0.

Formulas to find Sound Level in Decibels

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

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 Sound Intensity category

Go Sound Intensity with respect to Sound Pressure

I = (\frac{{P rms}^{2}}{ρ \cdot C})

Go Sound Intensity

I = \frac{W}{A}

Go Sound Intensity using Sound Intensity Level

I = (10^{- 12}) \cdot 10^{\frac{L}{10}}

Go Density of Air given Sound Intensity

ρ = \frac{{P rms}^{2}}{I \cdot C}

How to Evaluate Sound Intensity Level?

Sound Intensity Level evaluator uses Sound Level in Decibels = 10*log10(Sound Intensity Level/10^-12) to evaluate the Sound Level in Decibels, The Sound Intensity Level formula is defined as the level (a logarithmic quantity) of the intensity of a sound relative to a reference value. Sound Level in Decibels is denoted by L symbol.

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

FAQs on Sound Intensity Level

What is the formula to find Sound Intensity Level?

The formula of Sound Intensity Level is expressed as Sound Level in Decibels = 10*log10(Sound Intensity Level/10^-12). Here is an example- 20 = 10*log10(1E-10/10^-12).

How to calculate Sound Intensity Level?

With Sound Intensity Level (I) we can find Sound Intensity Level using the formula - Sound Level in Decibels = 10*log10(Sound Intensity Level/10^-12). This formula also uses Common Logarithm (log10) function(s).

Can the Sound Intensity Level be negative?

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

Which unit is used to measure Sound Intensity Level?

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

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