Calculatorism

Decibel Calculator

Convert between ratio and decibels: dB = 10·log10(P₂/P₁) or 20·log10(V₂/V₁).

Input Data

Intensity
W/m²

Results

60dB

At a glance:dB = 10·log10(P₂/P₁) (power); 20·log10(V₂/V₁) (amplitude). Complements sound-intensity-level and acoustic-intensity.

Formula

dB = 10·log₁₀(P₂/P₁).

$$L = 10 \log_{10}\!\left(\dfrac{I}{I_0}\right)$$
$$I_0 = 10^{-12}\,\text{W/m}^2$$

How to Use

  1. Pick power/amp mode and enter two values.
  2. The tool returns the dB.

Case Studies

Power doubled

+3.01 dB.

FAQ

Power vs amplitude?

Amplitude ratio uses 20·log because power ∝ amplitude².

Related Tools

References

Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Decibel Calculator(/physics/decibel)。