✖The Sound Intensity Level refers to the logarithmic measure of the sound power per unit area, expressed in decibels (dB).ⓘ Sound Intensity Level [I]			+10% -10%
✖The Standard Sound Intensity refers to the reference sound power per unit area, typically taken as watts per square meter.ⓘ Standard Sound Intensity [I_o]			+10% -10%

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

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Formula

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Sound Level in Decibels

Formula

`"L" = 10*log10("I"/"I"_{"o"})`

Example

`"20dB"=10*log10("1E^-10W/m²"/"1E^-12W/m²")`

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Sound Level in Decibels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sound Level in Decibels = 10*log10(Sound Intensity Level/Standard Sound Intensity)
L = 10*log10(I/I_o)
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

Sound Level in Decibels - (Measured in Decibel) - Sound Level in Decibels (dB) is the logarithmic measure of the ratio of a particular sound pressure to a reference sound pressure.
Sound Intensity Level - (Measured in Watt per Square Meter) - The Sound Intensity Level refers to the logarithmic measure of the sound power per unit area, expressed in decibels (dB).
Standard Sound Intensity - (Measured in Watt per Square Meter) - The Standard Sound Intensity refers to the reference sound power per unit area, typically taken as watts per square meter.

STEP 1: Convert Input(s) to Base Unit

Sound Intensity Level: 1E-10 Watt per Square Meter --> 1E-10 Watt per Square Meter No Conversion Required
Standard Sound Intensity: 1E-12 Watt per Square Meter --> 1E-12 Watt per Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = 10*log10(I/I_o) --> 10*log10(1E-10/1E-12)

Evaluating ... ...

L = 20

STEP 3: Convert Result to Output's Unit

20 Decibel --> No Conversion Required

FINAL ANSWER

20 Decibel <-- Sound Level in Decibels

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 6 Levels of Noise Calculators

Sound Level in Decibels

Go Sound Level in Decibels = 10*log10(Sound Intensity Level/Standard Sound Intensity)

Sound Level in Bels

Go Sound Level in Bels = log10(Sound Intensity Level/Standard Sound Intensity)

Standard Sound Intensity given Sound Level in Decibels

Go Standard Sound Intensity = Sound Intensity Level/(10^(Sound Level in Decibels/10))

Sound Intensity given Sound Level in Decibels

Go Sound Intensity Level = (Standard Sound Intensity)*10^(Sound Level in Decibels/10)

Standard Sound Intensity given Sound Level in Bels

Go Standard Sound Intensity = Sound Intensity Level/10^(Sound Level in Bels)

Sound Intensity given Sound Level in Bels

Go Sound Intensity Level = Standard Sound Intensity*10^(Sound Level in Bels)

Sound Level in Decibels Formula

Sound Level in Decibels = 10*log10(Sound Intensity Level/Standard Sound Intensity)
L = 10*log10(I/I_o)

What is Decibels?

Decibel is the unit of sound and is used because a one-decibel difference in loudness between two sounds is the smallest difference detectable by human hearing.

How to Calculate Sound Level in Decibels?

Sound Level in Decibels calculator uses Sound Level in Decibels = 10*log10(Sound Intensity Level/Standard Sound Intensity) to calculate 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 calculate Sound Level in Decibels using this online calculator? To use this online calculator for Sound Level in Decibels, enter Sound Intensity Level (I) & Standard Sound Intensity (I_o) and hit the calculate button. Here is how the Sound Level in Decibels calculation can be explained with given input values -> 20 = 10*log10(1E-10/1E-12).

FAQ

What is 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 and is represented as L = 10*log10(I/I_o) or Sound Level in Decibels = 10*log10(Sound Intensity Level/Standard Sound Intensity). The Sound Intensity Level refers to the logarithmic measure of the sound power per unit area, expressed in decibels (dB) & The Standard Sound Intensity refers to the reference sound power per unit area, typically taken as watts per square meter.

How to calculate 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 is calculated using Sound Level in Decibels = 10*log10(Sound Intensity Level/Standard Sound Intensity). To calculate Sound Level in Decibels, you need Sound Intensity Level (I) & Standard Sound Intensity (I_o). With our tool, you need to enter the respective value for Sound Intensity Level & Standard Sound Intensity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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