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Pleease explain uniformity of B in circular loop ?

  1. Dec 6, 2013 #1
    Why is the magnetic flux density uniform at the center of the circular loop ?
     
  2. jcsd
  3. Dec 6, 2013 #2

    Meir Achuz

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    It is not uniform. It varies in all directions. B is nearly uniform in the center of a long solenoid.
     
  4. Dec 6, 2013 #3

    jtbell

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  5. Dec 7, 2013 #4

    Baluncore

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    As you move towards one part of the circumference you are moving away from another at 180° to the first. The rise from one tends to cancel the fall from the other, so the field is remarkably smooth and gently curved near the axis.
     
  6. Dec 8, 2013 #5
    Thank you so much for you help , so its not uniform .... My textbook is really mistaken about almost everything >.< but what can I do .... You said that its nearly uniform at the center of the solenoid , so its not completely ? How so ?
     
  7. Dec 8, 2013 #6
  8. Dec 8, 2013 #7
    Thank you so much , your simplified explanation was extremely helpful , thank you sincerely !
     
  9. Dec 8, 2013 #8

    Baluncore

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    The attached screen dump shows two things. Firstly a circular loop of short filamentary segments, and secondly the B field measured across the circle, but very slightly offset from the plane of the circle which reduces the extreme peaks close to filaments.

    If you want a 3D volume of reasonably uniform magnetic field you can use two plane loops in an arrangement called a Helmholtz coil. https://en.wikipedia.org/wiki/Helmholtz_coil
     

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  10. Jan 2, 2014 #9

    Thanks ، I think I understand now , thank you so much for the Helmholtz example ,realky helped
     
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