Micropascal to Decibel SPL (re 20 µPa) Converter
20 µPa is 0 dB SPL. Convert micropascals (µPa) to decibels SPL (dB SPL) below: type a value and the result updates as you type.
µPa to dB SPL calculator
Result
Micropascal to Decibel SPL (re 20 µPa) conversion
1 µPa ≈ -26.02059991 dB SPLone micropascal in decibels SPL
1 dB SPL ≈ 22.44036909 µPaone decibel SPL in micropascals
Micropascal (µPa): One millionth of a pascal. The reference sound pressure in water is 1 µPa.
Decibel SPL (re 20 µPa) (dB SPL): Sound pressure level in air: 20 times the base-10 logarithm of the RMS sound pressure divided by the reference pressure of 20 µPa. 0 dB SPL is 20 µPa, about the quietest sound a young adult can hear.
Source:Micropascal: SI Brochure, 9th edition (BIPM, 2019); Decibel SPL (re 20 µPa): ISO 1683:2015, Acoustics: Preferred reference values for acoustical and vibratory levels
How to convert micropascals to decibels SPL
To convert micropascals to decibels SPL, divide the amount by 20, take the base-10 logarithm, then multiply by 20.
Formula
dB SPL = 20 × log₁₀(µPa ÷ 20)
Examples
- 20 µPa = 20 × log₁₀(20 ÷ 20) = 0 dB SPL
- 2000 µPa = 20 × log₁₀(2000 ÷ 20) = 40 dB SPL
- 1000000 µPa = 20 × log₁₀(1000000 ÷ 20) ≈ 93.97940009 dB SPL
Micropascal to Decibel SPL (re 20 µPa) conversion table
| Micropascal (µPa) | Decibel SPL (re 20 µPa) (dB SPL) |
|---|---|
| 1 µPa | -26.02059991 dB SPL |
| 20 µPa | 0 dB SPL |
| 200 µPa | 20 dB SPL |
| 2000 µPa | 40 dB SPL |
| 20000 µPa | 60 dB SPL |
| 200000 µPa | 80 dB SPL |
| 1000000 µPa | 93.97940009 dB SPL |
Values rounded to 10 significant digits where needed.
Frequently asked questions
- What is 20 µPa in dB SPL?
- 20 µPa is 0 dB SPL. To convert micropascals to decibels SPL, divide the amount by 20, take the base-10 logarithm, then multiply by 20.
- How do I convert decibels SPL to micropascals?
- To convert decibels SPL to micropascals, divide the level by 20, raise 10 to that power, then multiply by 20. The formula is µPa = 20 × 10^(dB SPL ÷ 20).
- Is this conversion exact?
- Yes. Both units have exact definitions and the factor 20 is exact. Displayed results are only rounded when they have many decimal places.