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Magnetic flux, current and magnetic field confusion

  1. Apr 25, 2017 #1
    1. The problem statement

    Relevant equations: I am confused. When dealing with Ampères law:
    upload_2017-4-25_13-23-13.png
    dl is supposed to be the length element? Like when we have Gauss' law for electric fields and we use a circular Gaussian surface, we have E(4πr^2)=Qenclosed/ε
    So in this case, when we have a circular loop our dl will be 2πr, since that is the circumference of the loop ? Or do I just understand nothing of this type of problem?
    I am confused because we seem to use 2π no matter what, like in this problem:
    upload_2017-4-25_13-26-19.png

    3. The attempt at the solution:
    I don't see anyway to include 2π, but they still do:
    upload_2017-4-25_13-27-0.png
     

    Attached Files:

    Last edited: Apr 25, 2017
  2. jcsd
  3. Apr 25, 2017 #2

    cnh1995

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  4. Apr 25, 2017 #3
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