Conversion: neper to decibel - sengpielaudio
Np dB neper bel decibel conversion calculator chart calculate calculation comparison convert gain loss voltage power formula pseudo unit scales table tables temperature scale scales formula formulae cold comparison compare formula formulas equation equations conversion American English Sengpiel Berlin sengpielaudio
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• Conversion of gain and loss •
Pseudo units of level: neper, decibel, and bel

Enter the known pseudo unit at the appropriate line.
The other boxes will show the conversions.
You don't need a calculate bar.
bel B
decibel dB
neper Np

Notice: Do not re-enter the exact number of an answer.

Neper Dezibel - sengpielaudio

Neper is a unit used to express ratios, such as gain, loss, and relative values.
Note 1: The neper is analogous to the decibel, except that the Naperian base 2.718281828 is used in computing the ratio in nepers.
Note 2: The value in nepers is given by Np = ln (x1 / x2), where x1 and x2 are the values of interest, and ln is the natural logarithm, i.e., logarithm to the base e.
Note 3: One neper Np ≡ 20 / (ln10) = 8.685889638 dB.
Note 4: The neper is often used to express voltage and current ratios, whereas the decibel is also used to express power ratios.
Note 5: Like the decibel dB, the Np is a dimensionless unit.
Note 6: The ITU recognizes both units.

The other likely candidate for the base of the log is e = 2.718281828, which has nice properties in equations, etc., and just seems to fall out of all sorts of natural phenomena - unlike 10, which is popular because we got 10 fingers. Using e as your base leads to a less common unit called the neper (Np). Neper is the latin form of Napier, the guy who popularized the use of logs for computation (viz. Napier's Bones). Nepers are used with voltage (or magnitude) ratios, so watch out when converting back and forth between Nepers and dB.

1 Np ≡ 20 / ln(10) = 8.685889638 dB
1 dB ≡ ln(10) / 20 Np = 0.115129255 Np

Decibel and Neper have a fixed linear ratio to each other.

The voltage level is     Formel Neper dB.

Conversion: bel, decibel, centibel, and millibel

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