What is a decibel (dB)?
The decibel (dB) is one tenth of a bel, named after Alexander Graham Bell. It is not an absolute unit like a metre or a gram; it is a ratio expressed on a logarithmic scale. For sound pressure level (SPL), that ratio is measured against a fixed reference of 20 micropascals — the threshold of healthy human hearing.
The formula
Sound pressure level in decibels is L = 20 × log₁₀(p / p₀), where p is the measured pressure and p₀ is 20 µPa. Working in energy (intensity) instead, it is L = 10 × log₁₀(I / I₀). Both give the same dB figure; the factor of 20 versus 10 simply reflects that energy is proportional to pressure squared.
Why every 10 dB matters so much
The logarithm is what trips people up. Adding 10 dB multiplies sound energy by ten, but your ear only perceives it as roughly twice as loud. So 90 dB has ten times the energy of 80 dB, a hundred times that of 70 dB, and a thousand times that of 60 dB — yet it sounds only about two, four and eight times as loud respectively. This gap is exactly why loud noise damages hearing well before it feels painful.
dB, dBA and other weightings
A plain “dB” figure counts all frequencies equally, but human ears do not. The A-weighting (dBA) filters the measurement to match how we actually hear, de-emphasising very low and very high frequencies. Almost every safety and environmental figure — including those across this site — is A-weighted. Our dBA vs dB guide explains when each is used.
Adding decibels together
Because they are logarithmic, decibels do not add arithmetically. Two 70 dB sources make about 73 dB, not 140. To combine sources you convert to energy, sum, then convert back: L = 10 × log₁₀(Σ 10^(Lᵢ/10)). Our decibel calculator does it instantly.
Frequently asked questions
Why is the decibel scale logarithmic?
Does 0 dB mean no sound?
Is 60 dB twice as loud as 30 dB?
Keep exploring
- Decibel chartEvery level with examples
- dBA vs dBWeighting explained
- CalculatorAdd & distance
- Sound meterMeasure live
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