# Current ratio expressed in nepers

1. Dec 13, 2013

### shaltera

$^{}$1. The problem statement, all variables and given/known data
The current input of a system is 250mA. If the current ratio of the system is 15dB , determine (i) the current output and (ii) the current ratio expressed in nepers

2. Relevant equations

$\alpha$[dB]=20log$_{10}$(I$_{out}$/I$_{in}$)

3. The attempt at a solution

current ratio $\alpha$=15dB, Iin=250mA=0.25A

I$_{out}$=I$_{in}$x10$^\frac{\alpha [dB]}{20}$==0.25x100.75

Iout=0.25x5.623=1.406A

1 Np ≡ 20 / ln(10) = 8.685889638 dB

$\alpha$[Np]=$\alpha$[dB]/8.686=1.727Np
1. The problem statement, all variables and given/known data

Last edited by a moderator: Dec 13, 2013
2. Dec 13, 2013

### Staff: Mentor

Was there a question associate with this? Your calculation of the output current and Neper value look fine.

3. Dec 14, 2013