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Magnetic field due to ribbon

  1. Mar 13, 2015 #1
    1. The problem statement, all variables and given/known data

    Attached.

    2. Relevant equations

    18c46f530d5677cb1350db1bded02b48.png

    3. The attempt at a solution

    I've been meaning to do this question for a while now but don't have much of a strategy. I was informed that the ribbon should be treated as a series of parallel wires. The magnetic field at an arbitrary point P from a wire with a current flowing through it can be given by the biot-savart law. The magnetic field at a point P a distance r away from a single long wire is thus given by:
    magcur3.gif

    Now, I have the suspicion that, since the ribbon comprises a whole bunch of wires, the total magnetic field due to the ribbon would simply be the result of an integration over the width of the ribbon. However I am having difficulty in figuring out the initial set up of the integral., and an appropriate parameterisation (if that is at all needed).
     

    Attached Files:

  2. jcsd
  3. Mar 14, 2015 #2

    mfb

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    Staff: Mentor

    Right.

    Which distances do the "parallel wires" have from P? What would you integrate over?
     
  4. Mar 15, 2015 #3
    Well, from the diagram it'd seem that the bottom of the ribbon is R+(w/2) from P, and that R-(w/2) is the distance between P and the top of the ribbon. Would it then be a matter of using these as the limits of integration?
     
  5. Mar 15, 2015 #4

    mfb

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    2016 Award

    Staff: Mentor

    Right.
     
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