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Linked and Bound Current

  1. Nov 19, 2013 #1
    1. The problem statement, all variables and given/known data
    ##magnitude(\vec{M})=NIS/c## N is number of turns, I is current and S is the Area
    ##N/(unit length) =NS*cos\theta## along a mathematical line

    2. Relevant equations
    Ampere Law ##\int_C\vec{B}d\vec{l} = 4*\pi/c*I_{link}##

    ##I_{Bound} = c\int_C\vec{M}d\vec{l}##

    ##\int_C(\vec{B}-4\pi\vec{M})d\vec{l} = 4*\pi/c*I_{free}##


    3. The attempt at a solution

    ##\vec{M} = NIS/c*cos\theta##

    ##I_{Bound} = c\int_C NIS/c*cos\theta d\vec{l}##
    Help doing the Closed Loop integral with loop dl!

    ##\int_C(\vec{B}-4\pi\vec{M})d\vec{l} = 4*\pi/c*(I_{link}-I_{bound}) = 4*\pi/c*I_{free}##
     
  2. jcsd
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