Free Decibel Calculator

Convert sound intensity to decibels using dB = 10 * log10(I / I0) where I0 = 10^-12 W/m².

W/m²

Sound Level

90.0 dB

Decibel Scale

The decibel scale expresses sound intensity on a logarithmic scale relative to a reference intensity.

Formula

dB = 10 * log10(I / I_0)

where I_0 = 10^-12 W/m². Every 10 dB increase represents a tenfold increase in intensity. A 3 dB increase doubles the intensity.

Example Calculation

A sound with intensity 0.001 W/m².

  1. 01dB = 10 * log10(I / I_0)
  2. 02dB = 10 * log10(0.001 / 1e-12)
  3. 03dB = 10 * log10(1e9)
  4. 04dB = 10 * 9 = 90 dB

Frequently Asked Questions

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