Sound Level in Bels Calculator

✖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%

✖The Sound Level in Bels refers to the intensity of sound. It is measured in bels.ⓘ Sound Level in Bels [L_b]

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Formula

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Sound Level in Bels

Formula

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

Example

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

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Sound Level in Bels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sound Level in Bels = log10(Sound Intensity Level/Standard Sound Intensity)
L_b = 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 Bels - (Measured in Decibel) - The Sound Level in Bels refers to the intensity of sound. It is measured in bels.
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_b = log10(I/I_o) --> log10(1E-10/1E-12)

Evaluating ... ...

L_b = 2

STEP 3: Convert Result to Output's Unit

2 Decibel -->0.2 Bel (Check conversion here)

FINAL ANSWER

0.2 Bel <-- Sound Level in Bels

(Calculation completed in 00.004 seconds)

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Credits

Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 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 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 Bels Formula

Sound Level in Bels = log10(Sound Intensity Level/Standard Sound Intensity)
L_b = log10(I/I_o)

What is Bel?

The term bel is derived from the name of Alexander Graham Bell, inventor of the telephone. It is equal to 10 decibels.

How to Calculate Sound Level in Bels?

Sound Level in Bels calculator uses Sound Level in Bels = log10(Sound Intensity Level/Standard Sound Intensity) to calculate 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 calculate Sound Level in Bels using this online calculator? To use this online calculator for Sound Level in Bels, enter Sound Intensity Level (I) & Standard Sound Intensity (I_o) and hit the calculate button. Here is how the Sound Level in Bels calculation can be explained with given input values -> 0.02 = log10(1E-10/1E-12).

FAQ

What is 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 and is represented as L_b = log10(I/I_o) or Sound Level in Bels = 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 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 is calculated using Sound Level in Bels = log10(Sound Intensity Level/Standard Sound Intensity). To calculate Sound Level in Bels, 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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