Decibel power ratio calculator

Calculate power ratio with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use power ratio to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Output power
100
Reference power
10
Power ratio (dB)
10

Try another scenario

Output power
110.00000000000001
Reference power
10
Power ratio (dB)
10.413927
Calculation method

Calculation method

Power ratio (dB)

10 × log10(a ÷ b)

Symbols and units
a
Output power
b
Reference power

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Calculation steps and notation

log10(x) is the logarithm to base 10.

Assumptions & limits

Assumptions & limits

  • For power use 10 log10 of the ratio. Amplitude ratios use a different formula under equal impedance.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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