Audio & acoustics

dB calculator

You can convert linear relationships into dB or derive power and voltage ratios from dB.

Updated on Apr 24, 2026 Calculator, calculation path and examples on one page

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Calculator

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Examples

Typical calculations

Linear power ratio 2 to 1.

Double performance

Level difference: 3.01dB

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Linear tension ratio 2 to 1.

Double the voltage

Level difference: 6.02dB

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Convert level difference into linear power ratio.

Calculate back +10 dB

Performance ratio: 10,000x

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FAQ

Frequently asked questions

Why is power 10 log and voltage 20 log?

Power is the square of voltage. Therefore, the logarithm factor doubles for voltage and amplitude ratios.

When does +3 dB correspond to a doubling?

When it comes to performance. A power ratio of 2:1 corresponds to around +3.01 dB.

When does +6 dB correspond to a doubling?

At voltage or amplitude. A voltage ratio of 2:1 corresponds to around +6.02 dB.

Can I compare power and voltage directly?

Only if the impedance remains the same. Otherwise the relationship between voltage and power will change.

Is the dB calculator also suitable for studio levels?

Yes. It is well suited for classifying level differences and relationships in audio and measurement technology.

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Sources and notes

Rule status and context

Formulas
dB = 10 x log10(P2/P1), dB = 20 x log10(U2/U1), P2/P1 = 10^(dB/10), U2/U1 = 10^(dB/20)
Note
The relationship between power and voltage only applies when impedance is the same.