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Biot-Savart law question help

  1. Apr 18, 2012 #1
    1. The problem statement, all variables and given/known data

    I have attached a diagram with the question.

    2. Relevant equations

    Biot-Savart law: (μ/4π)(I/r^2)(dlxr) or (μ/4π)(q/r^2)(dvxr)

    3. The attempt at a solution

    My question is,

    The B field can be predicted from the right hand corkscrew rule right? So the part of the rod that exerts a B field on point P is only the small portion of the rod at the origin right?

    The answer key shows some intergral over the whole length of the rod which I do not understand as I think the part of the rod that creates a B field at point P is only the little bit at the origin.

    Thanks.
     

    Attached Files:

  2. jcsd
  3. Apr 18, 2012 #2
    The right hand rule is useful for determining the direction of the magnetic field, but do not let it fool you into thinking that it can give you any hints about the magnitude of said field. Even the parts of the current far away from the point contribute to the magnetic field at that point - they just contribute less and less, the farther away you get.
     
  4. Apr 19, 2012 #3
    Ah i see. Aite, thank you.
     
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