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## dB to neper conversion | neper to dB conversion formula and calculator

This page covers dB(decibel) to neper(Np) conversion and neper to dB conversion. It mentions formula or equations for dB to neper conversion calculator and neper to dB conversion calculator.

#### Relationship between Decibels and Nepers

Decibel or dB : In microwave engineering various measurements such as return loss, attenuation or insertion loss, gain are expressed in decibels (dB). The decibel is a relative quantity and it is expressed as ratio of either two power levels or one power level with respect to one watt.
For input power of P1 and output power of P2, the power gain and voltage gain can be expressed as follows and its unit is decibels.
➨G = 10 * Log (P2/P1) ... dB
➨G = 20 * Log (V2/V1) ... dB

Absolute power levels can be expressed with respect to reference power in dB and dBm as follows.
➨Power (dB) = 10* Log (P in watts/1 watt) dB
➨Power (dBm) = 10* Log (P in milli-watts/1 mW) dBm

Neper: It is the ratio of two power levels or two voltage levels taken in natural logarithms. It is expressed as follows and denoted as Np.
➨ 1 Np = ln (V1/V2) ...Np (For voltage)
➨ 1 Np = (1/2) * ln (P1/P2) ...Np (For power)
➨ 1 Np = 10*Log (e)2 = 8.686 dB OR
➨ 1 dB = 0.115 Np

### dB to neper conversion calculator

dB value (Input)   :

Np value (output) :

*Note: Enter values in INPUT boxes and Press CALCULATE button to check OUTPUTS.

dB to neper calculator EXAMPLE:
dB (Input) = 3 dB
neper (Output) = 0.345 Np

### dB to neper conversion formula or equation

Following equation or formula is used for dB to neper conversion calculator. ### Neper to dB conversion calculator

Np value (Input)   :

dB value (Output) :

neper to dB calculator EXAMPLE:
neper (Input) = 3 Np
dB (Output) = 26.058 dB

### neper to dB conversion formula or equation

Following equation or formula is used for neper to dB conversion calculator. ### Useful converters and calculators

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