Sound Level in Decibels Calculator
〰 Oscillations & waves. Use the Sound level in decibels formula to find sound level, intensity: pick the value you want, type the others, and the answer updates as you go.
I₀ = 10⁻¹² W/m², the quietest sound we can hear.
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Sound level | dB |
| Intensity | W/m² |
Worked example
Find the sound level when Intensity = 1 × 10⁻⁶ W/m².
Using L = 10 log10I/I0: Sound level = 60 dB.
Frequently asked questions
What is the formula for Sound level in decibels?
L = 10 log10I/I0. I₀ = 10⁻¹² W/m², the quietest sound we can hear.
What do the letters stand for, and what units are used?
Sound level in dB, Intensity in W/m².
How do you calculate sound level?
Put the values into L = 10 log10I/I0. For example, with Intensity = 1 × 10⁻⁶ W/m², sound level = 60 dB.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (sound level, intensity) and fill in the others: it rearranges the formula for you.
