Tools

SPL calculator

Calculate SPL at a given distance from loudspeaker sensitivity and amplifier power. Based on the inverse square law in free field — results are approximate and assume a point source with no room reflections.

Manufacturer-specified sensitivity: dB SPL at 1 W, 1 m (on-axis, anechoic or quasi-anechoic)

dB SPL

Continuous power delivered to the loudspeaker

W

Distance from the acoustic centre of the loudspeaker to the listener

m

SPL at 1 m

109.0 dB SPL

89.0 + 10·log₁₀(100.0) − 20·log₁₀(1.0) = 109.0 dB

SPL at distance — 100.0 W

DistanceSPL
0.5 m115.0 dB SPL
1 m109.0 dB SPL
2 m103.0 dB SPL
3 m99.5 dB SPL
5 m95.0 dB SPL
7 m92.1 dB SPL
10 m89.0 dB SPL
15 m85.5 dB SPL
20 m83.0 dB SPL
30 m79.5 dB SPL
50 m75.0 dB SPL

Required power for target SPL

At the distance specified above (1 m)

dB SPL

Required power

125.89 W

SPL addition

Combine incoherent sources (e.g. multiple loudspeakers, independent noise sources). Uses 10·log₁₀(Σ 10^(SPLᵢ/10)).

dB SPL
dB SPL

Incoherent

Independent sources — adds power

10·log₁₀(Σ 10^(SPLᵢ/10))

93.0 dB SPL

+3.0 dB above the loudest source

Coherent

Same-phase sources — adds pressure

20·log₁₀(Σ 10^(SPLᵢ/20))

96.0 dB SPL

+6.0 dB above the loudest source

Free field assumption. This calculation assumes an anechoic environment. In a real room, reflections add energy at the listening position — typically 3–6 dB at distances beyond the critical distance. Results are a lower bound on actual SPL.

Sensitivity variation. Manufacturer sensitivity figures are often measured at a single frequency or averaged over a limited band. Real-world sensitivity varies with frequency; treat the result as an approximation.

Power compression. At high drive levels, voice coil heating increases resistance and reduces efficiency, lowering actual SPL below the calculated value. Thermal power compression of 2–4 dB is common at continuous high power.