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Current ratio expressed in nepers

  1. Dec 13, 2013 #1
    [itex]^{}[/itex]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

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


    3. The attempt at a solution

    current ratio [itex]\alpha[/itex]=15dB, Iin=250mA=0.25A

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

    Iout=0.25x5.623=1.406A

    1 Np ≡ 20 / ln(10) = 8.685889638 dB

    [itex]\alpha[/itex][Np]=[itex]\alpha[/itex][dB]/8.686=1.727Np
    1. The problem statement, all variables and given/known data
     
    Last edited by a moderator: Dec 13, 2013
  2. jcsd
  3. Dec 13, 2013 #2

    gneill

    User Avatar

    Staff: Mentor

    Was there a question associate with this? Your calculation of the output current and Neper value look fine.
     
  4. Dec 14, 2013 #3
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