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Change independent variable in magnetic field line equations

  1. Aug 26, 2015 #1
    How can I convert this system of equations :

    $$\frac{dz}{d\phi} = \frac{rB_z}{B_{\phi}},
    \frac{dr}{d\phi} = \frac{rB_r}{B_{\phi}},
    \frac{d\phi}{d\phi} = 1$$

    to

    $$\frac{dr}{dz},
    \frac{d\phi}{dz},
    \frac{dz}{dz}$$
     
  2. jcsd
  3. Aug 26, 2015 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    You can use the chain rule.
    Note: the third one is trivial.
     
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