Equivalent Sound Level for Fixed Sources
Sound intensity level is the level of the intensity of a sound relative to a reference value.
Equivalent sound level is proportional to the logarithm of the ratio between the time the source is on and the total time added to the steady-sound level.
Formula
![Copy to Clipboard QuantityVariable[Subscript["L", Style["eq", Italic]], "LogarithmicSoundPressure"] == Log[QuantityVariable[Subscript["t", Style["on", Italic]], "Time"]/QuantityVariable["T", "Time"]]*Quantity[10/Log[10], IndependentUnit["decibels sound pressure level"]] + QuantityVariable[Subscript["L", "s"], "LogarithmicSoundPressure"]](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/e1f/e1fb0bfb-31ed-45c0-ab9a-c59caa35529a/Webpage/FormulaImage.png)
| symbol | description | physical quantity |
|---|---|---|
| Leq | equivalent sound level | "LogarithmicSoundPressure" |
| T | total time | "Time" |
| ton | time source is on | "Time" |
| Ls | steady-sound level | "LogarithmicSoundPressure" |
Forms
Examples
Get the resource:
| In[1]:= |
| Out[1]= | ![]() |
Get the formula:
| In[2]:= |
| Out[2]= | ![]() |
Use some values:
| In[3]:= | ![]() |
| Out[3]= | ![]() |


![FormulaData[
ResourceObject[
"Equivalent Sound Level for Fixed Sources"], {QuantityVariable[
\!\(\*SubscriptBox[\("L"\),
StyleBox["\<\"eq\"\>",
StripOnInput->False,
FontSlant->Italic]]\),"LogarithmicSoundPressure"] ->
Quantity[65, IndependentUnit["decibels sound pressure level"]]}]](images/e1f/e1fb0bfb-31ed-45c0-ab9a-c59caa35529a-io-3-i.en.gif)
