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About monopole

  1. Dec 22, 2008 #1


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    If there were magnetic monopole, the Maxwell equations should be modified as

    \nabla\cdot\vec{B} = \mu_0\rho_m

    \nabla\times\vec{E} = - \frac{\partial \vec{B}}{\partial t} - \mu\vec{J}_m

    and plus the other two.

    I wonder how to prove these two modified equations are of correct form? Someone told me they should be of those form because of symmetry. I would like to prove that mathematically but have no way to start ...
  2. jcsd
  3. Jan 11, 2009 #2
    Em,I think it's not possible by just derive theoretically and do not use the idea of symmetry,because Maxwell equations themselves are mathematical summaries of experimental laws,right?
  4. Jan 11, 2009 #3


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    Science Advisor

    The divB equation is the definition of "magnetic charge".
    The curl E follows from the continuity equation for magnetic charge.
  5. Jan 11, 2009 #4


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    Homework Helper

    "magnetic charge density", to be exact.
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