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Question about Magnetic induction of circular loop

  1. Mar 12, 2017 #1
    1. The problem statement, all variables and given/known data
    upload_2017-3-13_10-24-50.png

    2. Relevant equations


    3. The attempt at a solution
    KakaoTalk_20170313_102610943.jpg

    This is what i did about (a)
    but i don't know how to approach (b), it doesn't have x,y components, only Bz component.
     
  2. jcsd
  3. Mar 13, 2017 #2

    haruspex

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    I think your answer to a is right - not expert in this area.
    For b, a dependent variable being zero at some value of the independent variable does not imply that its derivative is also zero there.
    I suggest working on b2, returning to b1 afterwards.
     
  4. Mar 13, 2017 #3
    upload_2017-3-13_20-40-17.png

    I think i solve (1), but the problem is (2),(3)
     
  5. Mar 13, 2017 #4

    haruspex

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    And very neatly too.
    These are easy. Fundamental differential calculus: f(x+Δx)≈f(x)+f'(x)Δx.
     
  6. Mar 13, 2017 #5
    ====================================================

    upload_2017-3-14_8-25-16.png

    I tried it , but is (2) right? and idw how to get ∂(B_z)/∂y|_(0, 0, z). I heard somewhere that by properties of curl of B (as i wrote)
    ∂(B_z)/∂y|_(0, 0, z) is changed to ∂(B_y)/∂z|_(0, 0, z), but i can't solve this.
     
  7. Mar 13, 2017 #6

    haruspex

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    Isn't By identically zero on the z axis?
     
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