Convert Nepers to Bels

Enter a value in nepers to convert it to bels. The result updates instantly and includes the formula and calculation steps.

Nepers to Bels calculator

to
Np
Bels
B

Nepers to Bels formula

Use this formula to convert nepers to bels:

Bels = Nepers / (0.5 * Math.log(10))

Calculation

Enter a valid number above to see the formula with your value substituted step by step.

Nepers to Bels Conversion Table

Reference values for converting Nepers to Bels.

Nepers (Np)Bels (B)
0 Np0 B
1 Np0.8686 B
10 Np8.6859 B
45 Np39.0865 B
90 Np78.173 B
180 Np156.346 B
360 Np312.692 B
1000 Np868.589 B

Worked example

Convert 0.8 Nepers to Bels

Bels = 0.8 / (0.5 × Math.log(10)) = 0.6949 Bels

About these units

Nepers

The neper (Np) is a logarithmic unit of measurement used to express ratios of measurements such as voltage, current, or power, especially in fields like telecommunications and electrical engineering. Unlike the decibel, which is based on a logarithm to the base 10, the neper is based on natural logarithms (base e). Nepers are particularly useful in contexts where continuous signals or natural exponential growths are involved. They provide a clear understanding of signal attenuation and amplification in various engineering applications.

Bels

The bel (B) is a unit of measurement named after Alexander Graham Bell, used primarily in telecommunications and acoustics to express ratios of power or intensity. One bel represents a tenfold increase in power level. Although the bel is not commonly used in its full form due to its large size, it is fundamental in understanding logarithmic scales and is the basis for the more frequently used decibel. Bels are important in fields where comparing vast differences in intensity or power is necessary, such as in sound levels and signal strength.