Convert number relations ratio to dB level decibel dB calculator calculate number factor ratio parameter

Converting number relations (ratio) to dB level
● number - factor - ratio - parameter ●

Voltage ratio: Level L (dB) = 20 × log (value 2 / value 1) That are field quantities
Power ratio: Level L (dB) = 10 × log (value 2 / value 1) That are energy quantities

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Relative level - dB chart (decibel) - volt, watt and pascal, W/m²

Power is like all energy quantities primarily a calculated value.

To use the calculator, simply enter a value.
The calculator works in both directions of the ↔ sign.

Field quantity (size) − Voltage

Energy quantity (size) − Power

There is also the reference power P₀ = 1 milliwatt = 0,001 watt ≡ 0 dB_m

Another difficult issue that has to do with sound field sizes and energy sizes is:
How much does the volume (loudness) decrease with the distance from a sound source?
How much decreases the sound pressure (voltage) with the distance from a sound source?
How much decreases the sound intensity (not the sound power) with the distance from a sound source?
The initial question is quite simply this: How much does the sound decrease with distance?

Sound power or sound power level has nothing (!) to do with the distance from the sound source.
Thinking helps: A 100 watt light bulb has in 1 m and in 10 m distance really always the same 100 watts, which is emitted from the lamp all the time. Watts don't change with distance.

A frequent question: "Does the sound power depend on distance?" The clear answer is: "No, not really."

Acousticians and sound protectors ("noise fighters") need the sound intensity (acoustic intensity) – but sound engineers and sound designers ("ear people") don't need that sound energy quantity.

Who is involved in audio engineering, should rather take care of the sound field quantity, that is the sound pressure or the sound pressure level (SPL) as an effect at the eardrums of our hearing and on the membranes of the microphones, and the corresponding audio voltage and its voltage level.

How much dB level change is twice (double, half) or three times as loud?
How does the sound or the noise depend on distance from the source?

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Voltage V (audio) Volt	↔	Voltage level L_V (audio) dBu
$U = U_0 \cdot 10^\frac{L_U}{20} \ \mbox{V}$		$L_p = 20\, \log_{10}\left(\frac{U}{U_0}\right) \ \mbox{dBu}$
Reference voltageV₀ = 0.7746 volt ≡ 0 dBu

Voltage V Volt	↔	Voltage level L_V dBV
$U = U_0 \cdot 10^\frac{L_U}{20} \ \mbox{V}$		$L_U = 20\, \log_{10}\left(\frac{U}{U_0}\right) \ \mbox{dBV}$
Reference voltage V₀ = 1 volt ≡ 0 dBV

Electric power P Watt	↔	Electric power level L_P dB

Reference power P₀ = 1 watt = 1 W ≡ 0 dB

Electric power (telephone) P Watt	↔	Electric power level L_P dB_m

Reference powerP₀ = 1 milliwatt = 0.001 watt ≡ 0 dB_m