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Acoustic Decibels & Damping Calculator

Compute decibel change and distance attenuation of sound intensity.

Input Data

Intensity1Wm2
W/m²
Intensity2Wm2
W/m²
Distance1M
m
Distance2M
m

Results

Decibel Change Db
-10dB
Distance Attenuation Db
-6.0206dB
Pressure Ratio
0.316228
Intensity Ratio
0.1

At a glance:ΔL = 10·log10(I₂/I₁); distance attenuation follows the inverse-square law (20·log10(d₁/d₂)). Complements sound-intensity-level and sound-pressure-level.

Formula

ΔL = 10·log₁₀(I₂/I₁).

attenuation = 20·log₁₀(d₁/d₂).

$$\Delta\beta = 10\log_{10}\frac{I_2}{I_1}$$

How to Use

  1. Enter two intensities and/or two distances.
  2. The tool returns the decibel change and ratios.

Case Studies

Doubling distance

Attenuation ≈ −6 dB (intensity quarter).

FAQ

Intensity vs pressure?

Sound level in dB uses intensity (10·log); pressure adds a factor of 20·log.

Related Tools

References

Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Acoustic Decibels & Damping Calculator(/physics/acoustic-decibels-damping)。