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Magnetic Field near a curving infinite wire in 3d space

  1. Apr 26, 2012 #1
    1. The problem statement, all variables and given/known data

    Problem as given: A three-dimensional wire of infinite length carries a current I0 starting at (-∞,0,0) along a straight line to (0,0,0), bending and travelling along a straight line to (0,1,0), then bending and travelling to (0,1,1) and finally bending and travelling out to (∞,1,1). Determine the magnetic field at (0,0,1).

    2. Relevant equations

    Possibly using |B| = μ0I/2∏r ? Not sure whether/how to combine the fields of the different segments using this general formula for the B-field of a current carrying wire.

    3. The attempt at a solution

    I haven't seen a problem like this in our class, so I'm mostly fishing for a start. I am aware of finding the magnetic B field of a current carrying wire using the equation above, but we never talked about a wire oriented in space with coordinates as such. To start, I would assume the wire is bent at a 90 degree angle at each given point where applicable, find the magnetic field of each segment, and from there I am not too sure where to go.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 27, 2012 #2

    tiny-tim

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    welcome to pf!

    hi speedofdark8! welcome to pf! :smile:
    yes, find the individual fields, and add them :wink:

    integrate the Biot-Savart law for the short sections

    (you can probably see how to get it from B = μoI/2πr for the long sections)
     
  4. Apr 27, 2012 #3
    I am not familiar with the Biot Savart Law. For the other sections though, would I be correct with the equation I posted earlier?
     
  5. Apr 27, 2012 #4

    tiny-tim

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  6. Apr 29, 2012 #5
    Thank you for the replys. I have since gotten together with some classmates and we found a solution.
     
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