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dB SPL to Pascal Converter (Sound Pressure)

Convert sound pressure level in dB SPL to pascals using the 20 µPa hearing-threshold reference: p = 20 µPa × 10^(dB/20). 94 dB SPL works out at 1.0024 Pa, near enough 1 pascal.

Pressure (Pa)

From dB SPL to pascals: what the decibel hides

Sound pressure level in dB SPL is a logarithmic wrapper around a physical quantity measured in pascals, and this converter unwraps it with the standard formula: p equals 20 µPa times 10 raised to (dBSPL/20). The reference of 20 micropascals (0.00002 Pa) is the standardized value used by IEC 61672 instrumentation, roughly the threshold of human hearing at 1 kHz. The page has a single input; type the level and the RMS pressure in pascals updates on every keystroke.

A worked example anchors the scale: 94 dB SPL comes out to 1.002374 Pa, essentially one pascal. That is exactly why acoustic calibrators produce 94 dB at 1 kHz — it is the nearest whole decibel to 1 Pa. Every 20 dB step multiplies the pressure tenfold, so 114 dB SPL is 10.02 Pa and 74 dB SPL is 0.1 Pa. At the theoretical top of the scale, 194 dB SPL equals about 100 kPa, on the order of atmospheric pressure itself; beyond that point an undistorted sinusoidal sound wave in air is physically impossible.

The calculation is strictly linear SPL with no frequency weighting applied. Feeding it a dBA or dBC reading will not give you the true physical pressure, because weighting changes the number depending on the spectrum of the sound. Negative decibel values are accepted (levels below the hearing threshold), and results under 0.001 Pa switch to scientific notation with four decimals — 0 dB SPL displays as 2.0000e-5 Pa. One quirk worth knowing: an empty input is silently treated as 0 dB and shows that result rather than flagging the missing value.

Frequently asked questions

Why does 94 dB SPL equal almost exactly 1 pascal?
Because 20 µPa multiplied by 10 to the power 4.7 works out to 1.002374 Pa. Calibrator manufacturers standardized on 94 dB SPL precisely because it is the whole-decibel level closest to 1 Pa, which makes checking the sensitivity of measurement microphones straightforward in the field or on the bench.
Can I enter dBA or dBC values into this converter?
Not if you want the real physical pressure. A-weighting and C-weighting filter the signal before the level is computed, so the reading no longer maps directly onto raw sound pressure. The 20 µPa formula is only exact for unweighted, linear SPL; with a weighted level the output describes a filtered, fictitious signal.
Is the pascal result a peak value or an RMS value?
It is RMS, which is how sound pressure levels are defined in the standards. For a pure sine tone the peak pressure is the RMS value times 1.414, the square root of two. Real program material has a much higher crest factor, so never treat the converted figure as the maximum instantaneous pressure of the waveform.

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