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Physics

Sound intensity level (decibels) calculator

Decibel level of a sound from its intensity, referenced to the hearing threshold.

What this calculator does

Sound intensity level (decibels) works out decibel level of a sound from its intensity, referenced to the hearing threshold. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaL = 10·log₁₀(I / I₀), I₀ = 1×10⁻¹² W/m²

The inputs explained

FieldWhat to enter
Sound intensity (W/m²)A number, measured in W/m². Starts at 0.000001.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with sound intensity

Every other input is held at the calculator’s starting values while sound intensity varies. Select any row to load that scenario into the calculator.

How the answer changes with sound intensity
Sound intensity (W/m²)Sound levelIntensity relative to thresholdLevel if intensity doubled
0−∞ dB0.000e+0×−∞ dB
0−∞ dB0.000e+0×−∞ dB
0−∞ dB0.000e+0×−∞ dB
0−∞ dB0.000e+0×−∞ dB
0−∞ dB0.000e+0×−∞ dB
0−∞ dB0.000e+0×−∞ dB