Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Field induced in a conductor

  1. Jul 4, 2013 #1
    If an arbitrary shaped conductor is moving through a steady-state magnetic field, [itex]\mathbf{B}(\mathbf{r})[/itex], is it true that the field induced in the conductor will be proportional to [itex]\mathbf{B}[/itex]? IE:

    [tex]
    \mathbf{B}_{induced}(\mathbf{r}) = M \mathbf{B}(\mathbf{r})
    [/tex]

    where [itex]M[/itex] is a 3-by-3 constant matrix? Or is this simply a first-order approximation to the induced field? Does anyone know of any texts or references which treat this problem? Thanks.
     
  2. jcsd
  3. Jul 4, 2013 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    As you consider an induced magnetic field, I guess your conductor is a closed loop (or at least has some circular current paths)?

    You cannot evaluate the field point by point. The induced field at one point will depend on the magnetic field everywhere else (and the velocity of the conductor everywhere).
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Field induced in a conductor
  1. Conductors and fields (Replies: 3)

Loading...