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Thread: Line Integral Help

  1. #1
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    Line Integral Help

    Can anyone explain to me why the image is true?
    Line Integral Help-screen-shot-2019-03-13-3.12.17-pm.png
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    Re: Line Integral Help

    Quote Originally Posted by aprilcm View Post
    Can anyone explain to me why the image is true?
    Click image for larger version. 

Name:	Screen Shot 2019-03-13 at 3.12.17 PM.png 
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    Note: This is only true if B is not a function of s!

    $\displaystyle \int_C \dfrac{\vec{B} \cdot \vec{B}}{B}~ds = \int_C \dfrac{B^2}{B}~ds = \int_C B~ds = B \int_C ds$

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  3. #3
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    Re: Line Integral Help

    Note that the vector $\vec{B}$ (or B) might depend upon s as long as B (the magnitude of $\vec{B}$) does not.
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