Sound Intensity given Sound Level in Decibels Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sound Intensity Level = (Standard Sound Intensity)*10^(Sound Level in Decibels/10)
I = (Io)*10^(L/10)
This formula uses 3 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Standard Sound Intensity: 1E-12 Watt per Square Meter --> 1E-12 Watt per Square Meter No Conversion Required
Sound Level in Decibels: 20 Decibel --> 20 Decibel No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
I = (Io)*10^(L/10) --> (1E-12)*10^(20/10)
Evaluating ... ...
I = 1E-10
STEP 3: Convert Result to Output's Unit
1E-10 Watt per Square Meter --> No Conversion Required
FINAL ANSWER
1E-10 Watt per Square Meter <-- Sound Intensity Level
(Calculation completed in 00.004 seconds)

Credits

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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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Levels of Noise Calculators

Sound Level in Decibels
​ LaTeX ​ Go Sound Level in Decibels = 10*log10(Sound Intensity Level/Standard Sound Intensity)
Sound Level in Bels
​ LaTeX ​ Go Sound Level in Bels = log10(Sound Intensity Level/Standard Sound Intensity)
Standard Sound Intensity given Sound Level in Bels
​ LaTeX ​ Go Standard Sound Intensity = Sound Intensity Level/10^(Sound Level in Bels)
Sound Intensity given Sound Level in Bels
​ LaTeX ​ Go Sound Intensity Level = Standard Sound Intensity*10^(Sound Level in Bels)

Sound Intensity given Sound Level in Decibels Formula

​LaTeX ​Go
Sound Intensity Level = (Standard Sound Intensity)*10^(Sound Level in Decibels/10)
I = (Io)*10^(L/10)

What is Sound Level in Decibels?

The Sound level in decibels refers to various logarithmic measurements of audible vibrations. It is the measure of the effective pressure of a sound relative to a reference value.

How to Calculate Sound Intensity given Sound Level in Decibels?

Sound Intensity given Sound Level in Decibels calculator uses Sound Intensity Level = (Standard Sound Intensity)*10^(Sound Level in Decibels/10) to calculate the Sound Intensity Level, The Sound Intensity given Sound Level in Decibels formula is defined as the actual intensity variation caused by a sound wave, derived from the decibel level using a logarithmic scale. Sound Intensity Level is denoted by I symbol.

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

FAQ

What is Sound Intensity given Sound Level in Decibels?
The Sound Intensity given Sound Level in Decibels formula is defined as the actual intensity variation caused by a sound wave, derived from the decibel level using a logarithmic scale and is represented as I = (Io)*10^(L/10) or Sound Intensity Level = (Standard Sound Intensity)*10^(Sound Level in Decibels/10). The Standard Sound Intensity refers to the reference sound power per unit area, typically taken as watts per square meter & Sound Level in Decibels (dB) is the logarithmic measure of the ratio of a particular sound pressure to a reference sound pressure.
How to calculate Sound Intensity given Sound Level in Decibels?
The Sound Intensity given Sound Level in Decibels formula is defined as the actual intensity variation caused by a sound wave, derived from the decibel level using a logarithmic scale is calculated using Sound Intensity Level = (Standard Sound Intensity)*10^(Sound Level in Decibels/10). To calculate Sound Intensity given Sound Level in Decibels, you need Standard Sound Intensity (Io) & Sound Level in Decibels (L). With our tool, you need to enter the respective value for Standard Sound Intensity & Sound Level in Decibels and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Sound Intensity Level?
In this formula, Sound Intensity Level uses Standard Sound Intensity & Sound Level in Decibels. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Sound Intensity Level = Standard Sound Intensity*10^(Sound Level in Bels)
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