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Magnetic field

  1. Aug 10, 2007 #1
    well i saw a proof in griffith about the diraction of magnetic field due to an infinitely large steady current carrying plate in x direction .well i could argue on the normal basis of an current element being at equal distances and component cancellingout...that the field has to be in y direction.
    but then he gave a beautiful proof arguing on the line that if there were field in z direction then by biot savrt law reversing current would reverse it's direction
    upto this everything was ok
    then he writes but the field in z direction can't possibly depend on current direction in xy plane
    why is this?
     
  2. jcsd
  3. Aug 10, 2007 #2

    ZapperZ

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    You missed an important description to the problem. Since you have a plane, you did not tell us in which plane it is. All you did was gave the direction of the current.

    From reading the rest of your post, I am guessing that this plane is in the xy-plane, with the current in the x-direction as stated. If this is true, then yes, by symmetry argument, the z-direction would not change if you change the direction of the current.

    Think of what happens when, instead, you have the same plane, but now you have a uniform charge. The charge distribution has a translational symmetry in the xy plane, and it has reflection symmetry along a plane perpendicular to it. The field must have the same symmetry, and that's why you get an E-field along the z-direction.

    Apply that to your problem. While the plane still has translational symmetry, an inversion of the current (or doing a reflection along the same plane) will now change the direction of the current. The field generated must also have the same symmetry.

    Zz.
     
  4. Aug 10, 2007 #3
    sorry i didn't metion that the current was in xy plane but can u explain why the change in current direction doesn't affetc the magnetic fiels along z axis
     
  5. Aug 10, 2007 #4

    ZapperZ

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    I thought I just did?!

    Zz.
     
  6. Aug 10, 2007 #5
    well if i am right u have written tht effectively if we change the direction of current by reflection then the field direction should also change then what....
     
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