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Homework Help: Eddy current losses - solid/laminated cores!

  1. May 2, 2010 #1
    1. The problem statement, all variables and given/known data
    [PLAIN]http://img94.imageshack.us/img94/224/92898534.jpg [Broken]
    The figures show two types of magnetic cores that lie along the z-axis. The solid core has length L, radius a, and conductivity σ. Laminated core has N filametary cylinders each with length L and conductivity σ. If B = Bocosωt az is directed upward and the filamentary cylinders fill 90% volume of solid core, find:
    a.) the average eddy-current power loss in the solid core
    b.) the average eddy-current power loss in each of the filamentary cores.
    c.) the average eddy-current power loss in the total laminated core.

    Assume the B-field is uniform throughout both solid and laminated cores.

    2. Relevant equations
    This is the problem, I don't know what formulas I should be using!

    3. The attempt at a solution
    Just an attempt, this is probably way off. It I attempt to find J within the cylinder, than J = σE. I know that ∇xE = -d(B)/dt. This way I can solve E, and plug it into the formula I have started with, giving me J. What would I do from here though!? Is this even the right way?! Please help! I appreciate all help in advance!
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. May 2, 2010 #2


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    Gold Member

    For the first core, you need to know the skin depth. Have you covered that in class yet?
  4. May 2, 2010 #3
    no, we have not.
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