Power Ratio To Decibels
Calculator

Inputs

Decibels
3.010299

Results

Decibels
3.010299
Equivalent amplitude ratio
1.414213
Equivalent amplitude (dB)
3.010299

Music and audio results

Decibels3.010299
Equivalent amplitude ratio1.414213
Equivalent amplitude (dB)3.010299

formula-map diagram

Decibels
3.010299
Equivalent amplitude ratio
1.414213
Equivalent amplitude (dB)
3.010299

Musical and acoustic relationship

Formula

dB = 10 × log₁₀(ratio)

= 3.0102999566398

Note

This result is a simplified model: it applies the displayed standard formula to the values you entered, assuming twelve-tone equal temperament, a speed of sound of 343 m/s in dry air at 20 °C, an ideal free field with no reflections or air absorption, purely resistive speaker loads and Sabine's diffuse-field assumption. Real rooms, instruments, codecs and amplifiers depart from these idealisations, so measure with proper instruments for critical work.

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