Science
Sound intensity level
Convert an acoustic intensity and reference intensity into a decibel level.
Calculators / Science / Decibel power ratio
Decibel power ratio calculator
Convert a decibel difference into power and equal-impedance amplitude ratios.
On this page
Power ratio10
Amplitude ratio at equal impedance3.16
Calculator controls
How to calculate
Convert a decibel difference into power and equal-impedance amplitude ratios.
Power ratio = 10^(d/10); Amplitude ratio at equal impedance = 10^(d/20)
Worked example
Power level difference (dB): 10.
Power ratio: 10 ; Amplitude ratio at equal impedance: 3.16 .
Assumptions and limits
The 10-log power rule and 20-log amplitude rule apply under different definitions. The amplitude ratio assumes equal impedance.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Convert a decibel difference into power and equal-impedance amplitude ratios.
When this tool is useful
Power ratio = 10^(d/10); Amplitude ratio at equal impedance = 10^(d/20)
Understanding your inputs
| Input | What to enter |
|---|---|
| Power level difference (dB) | Enter a number of at least -300 and no more than 300. |
Frequently asked questions
What assumptions does this calculation use?
The 10-log power rule and 20-log amplitude rule apply under different definitions. The amplitude ratio assumes equal impedance.
How is the result calculated?
Power ratio = 10^(d/10); Amplitude ratio at equal impedance = 10^(d/20)