Code tool

Sound Intensity Level Converter

Enter sound intensity I and calculate Lᵢ = 10 log₁₀(I / I₀), using I₀ = 10⁻¹² W/m².

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Enter a finite positive intensity. The calculation uses I₀ = 10⁻¹² W/m² and Lᵢ = 10 log₁₀(I / I₀). This is dB sound intensity level, not dB SPL.

A QUICK WALKTHROUGH

How to use this tool

  1. Enter a positive intensity in W/m².
  2. Calculate the level relative to I₀ = 10⁻¹² W/m².
  3. Read the result in dB; this is sound intensity level, not dB SPL.

Reference intensity

The fixed reference is I₀ = 10⁻¹² watts per square metre. The tool uses sound intensity, power per area, rather than sound pressure.

Positive values only

Sound intensity must be greater than zero because the logarithm is undefined for zero or negative values.

GOOD TO KNOW

Common questions

What does the result measure?

It is sound intensity level in decibels, calculated from acoustic intensity. It is not sound pressure level (dB SPL).

What formula is used?

Lᵢ = 10 log₁₀(I / I₀), with I₀ = 10⁻¹² W/m².

Can I enter zero?

No. Enter a finite positive intensity in W/m².