A neper (Symbol: Np) is a unit of ratio. It is not an SI unit but is accepted for use alongside the SI.
It is used to express ratios, such as gain and loss, and relative values. The name is derived from John Napier, the inventor of logarithms.
Like the decibel, it is a unit in a logarithmic scale, the difference being that where the bel uses base-10 logarithms to compute ratios, the neper uses base e = 2.718281828459. The value of a ratio in nepers, Np, is given by
Np=ln(x1/x2)
where x1 and x2 are the values of interest, and ln is the natural logarithm.
Thus the neper is analogous to the decibel, except that the Naperian base 2.718281828. . . is used in computing the ratio in nepers
2006-06-14 01:20:49
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answer #1
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answered by Rajiv G 4
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A neper (Symbol: Np) is a unit of ratio. It is not an SI unit but is accepted for use alongside the SI.
It is used to express ratios, such as gain and loss, and relative values. The name is derived from John Napier, the inventor of logarithms.
Like the decibel, it is a unit in a logarithmic scale, the difference being that where the bel uses base-10 logarithms to compute ratios, the neper uses base e = 2.718281828459. The value of a ratio in nepers, Np, is given by
Np = \ln\frac{x_1}{x_2} = \ln x_1 - \ln x_2
where x1 and x2 are the values of interest, and ln is the natural logarithm.
The neper is often used to express voltage and current ratios, whereas the decibel was used in early times to express power ratios. Taking that into account we have
1\ \mbox{Np} = \frac{20}{\ln 10}\ \mbox{dB} = 8{.}685889638 \ \mbox{dB}
1\ \mbox{dB} = \frac{\ln 10}{20}\ \mbox{Np} = 0{.}115129254 \ \mbox{Np}
Like the decibel, the neper is a dimensionless unit. The ITU recognizes both units. Neper is used more with voltage ratios (linear field strength) than with power ratios (squared power strength).
2006-06-14 01:18:27
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answer #2
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answered by Anonymous
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A neper (Symbol: Np) is a unit of ratio. It is not an SI unit but is accepted for use alongside the SI.
It is used to express ratios, such as gain and loss, and relative values. The name is derived from John Napier, the inventor of logarithms.
Like the decibel, it is a unit in a logarithmic scale, the difference being that where the bel uses base-10 logarithms to compute ratios, the neper uses base e = 2.718281828459. The value of a ratio in nepers, Np, is given by
Np = \ln\frac{x_1}{x_2} = \ln x_1 - \ln x_2
where x1 and x2 are the values of interest, and ln is the natural logarithm.
The neper is often used to express voltage and current ratios, whereas the decibel was used in early times to express power ratios. Taking that into account we have
1\ \mbox{Np} = \frac{20}{\ln 10}\ \mbox{dB} = 8{.}685889638 \ \mbox{dB}
1\ \mbox{dB} = \frac{\ln 10}{20}\ \mbox{Np} = 0{.}115129254 \ \mbox{Np}
Like the decibel, the neper is a dimensionless unit. The ITU recognizes both units. Neper is used more with voltage ratios (linear field strength) than with power ratios (squared power strength).
2006-06-14 01:19:26
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answer #3
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answered by Anonymous
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A unit for comparing the magnitude of two powers, usually in electricity or acoustics; it is one half of the natural logarithm of the ratio of the two powers.
Synonym: napier.
A neper (Symbol: Np) is a unit of ratio. It is not an SI unit but is accepted for use alongside the SI.
It is used to express ratios, such as gain and loss, and relative values. The name is derived from John Napier, the inventor of logarithms.
2006-06-14 01:19:33
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answer #4
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answered by Clara Isabella 5
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I hear an echo....echo....echo
2006-06-14 02:31:30
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answer #5
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answered by hartless63 4
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