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Homework Help: What is the length of the inductor?

  1. Jul 5, 2009 #1
    1. The problem statement, all variables and given/known data
    A 0.5533 mH inductor has a length that is
    four times its diameter.
    If it is wound with 15.4 cm−1 turns per
    centimeter, what is its length? Answer in
    units of m.

    2. Relevant equations

    L= (Uo*pi*r^2*N^2)/(l)
    N= n*l
    length=4*diameter therefore l= 2*r

    3. The attempt at a solution

    so i substituted them back in the first equation
    length^3= (L*4)/(Uo*pi*n^2)

    after solving for length i got 0.61831 meters .. and it turns to be wrong !!

    i need your help

    i have changed the units from cm^-1 to meters^-1

    need your help thanx alot
  2. jcsd
  3. Jul 5, 2009 #2


    User Avatar
    Homework Helper

    Well, there is a problem with this part. The diameter is 2*radius. What you have done is used diameter = 0.5*radius.
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