??? (?? ??????? : neper ) ?? ???? Np ?? ???? ????????? ???? ???? ??????????? ????? ?????? ? ????? ???? ???. ????? ??? ? ?? ??? ???? ?????? ?????????.

??? ??? ??? ?? ???? ??????? ??? ??? ????? ???????. ????? ?????? ? bel ??? ??? ?? ????? ?????????? ?????? (ISQ) ??? ??? ???? ?? ?????? ?????????? ????? (SI) ??? ??? ??? ???? ??????? ?? ???? SI ??????? ???????. ^[?]

????? [ ?????? ]

????? ?????? ? ?? ???? ????? ???????? ???. ?? ????? ?? ?? bel ?? (????-??) ??????? ???? ?????? ???? ??????? ??????? ??? ?? ??????? ????? ?? ???? ??? e ( ??? e ? ???????) ??????? ??????. ????? ???? ???? ??? ?? ????? ??? ?????? ??????:

${\displaystyle L_{\rm {Np}}=\ln {\frac {x_{1}}{x_{2}}}=\ln x_{1}-\ln x_{2}.\,}$

???? ?? ${\displaystyle x_{1}}$ ? ${\displaystyle x_{2}}$ ????? ???? ?????? ? ln ??????? ????? ???.

?? ISQ ?? ??? ?? ???? Np = ? ????? ?????? ??? ?? ????? ???? ????? ????? ??????.

???????? ?????? [ ?????? ]

• ??????
• Nat (unit)

????? [ ?????? ]

• ?????????? ???????

????? ?? ????? [ ?????? ]

• What's a neper?
• Conversion of level gain and loss: neper, decibel, and bel
• Calculating transmission line losses