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Inductance of a Solenoid

  1. Aug 21, 2009 #1
    1. The problem statement, all variables and given/known data

    A constant current of 1A through a solenoid creates a magnetic flux of Φ=20mWb measured on the solenoid axis in the middle of the solenoid. What is the value of the solenoid inductance?

    2. Relevant equations

    here's what I've managed to find on the subject:

    Φ=μ0μrN2iA/l

    L=μ0μrN2A/l

    where μ0 = permitivity of free space, μr= permitivity of the core N is the number of turns, A is the cross sectional area, i is the current and l is the length of the solenoid

    3. The attempt at a solution

    Since we aren't given any other details like length or area all I can see to do is divide the magnetic flux by the current in order to get the Inductance. It seems suspiciously simple if this is the case since the guy that set it never sets anything straightforward.

    So as far as I can tell the answer is L=20mWb/A

    Thanks for any help or pointers
     
  2. jcsd
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