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Decibel to Linear Power Ratio Converter

dB = 10·log₁₀(P₂/P₁) — power ratio both ways.

Converts between decibels and linear power ratio: P₂/P₁ = 10^(dB/10); dB = 10·log₁₀(P₂/P₁). Also handles voltage ratios: dB = 20·log₁₀(V₂/V₁).

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

W

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

P₂/P₁ = 10^(dB/10); V₂/V₁ = 10^(dB/20)

In depth

Converts between decibels and linear power ratio: P₂/P₁ = 10^(dB/10); dB = 10·log₁₀(P₂/P₁). Also handles voltage ratios: dB = 20·log₁₀(V₂/V₁).