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Sound Level in Decibels 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}{I o})

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

Sound Level in Decibels Example

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

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

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

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

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

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

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Sound Level in Decibels Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

LAST Step Evaluate

∴

L = 20dB

Sound Level in Decibels 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

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 Level in Bels

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

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 Intensity given Sound Level in Decibels

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

How to Evaluate Sound Level in Decibels?

Sound Level in Decibels evaluator uses Sound Level in Decibels = 10*log10(Sound Intensity Level/Standard Sound Intensity) to evaluate the Sound Level in Decibels, The Sound Level in Decibels formula is defined as various logarithmic measurements of audible vibrations. It is the measure of the effective pressure of a sound relative to a reference value. Sound Level in Decibels is denoted by L symbol.

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

FAQs on Sound Level in Decibels

What is the formula to find Sound Level in Decibels?

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

How to calculate Sound Level in Decibels?

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

Can the Sound Level in Decibels be negative?

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

Which unit is used to measure Sound Level in Decibels?

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

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Sound Level in Decibels Formula

Sound Level in Decibels Example

Sound Level in Decibels Solution

Sound Level in Decibels Formula Elements

Other formulas in Levels of Noise category

How to Evaluate Sound Level in Decibels?

FAQs on Sound Level in Decibels

Variable Name