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    I learned the continuity equation.
    ▽(Dot)J = - partial (lo)v / partial t

    I just thought about the things learned last time and remembered divergence theorem and it looks like I can put (sigma)E instead of J.
    But the result was not right. I think this may not work. Do you know why it doesn't work? Or where I made a mistake?
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    (Original post by KoreanStudent)
    I learned the continuity equation.
    ▽(Dot)J = - partial (lo)v / partial t

    I just thought about the things learned last time and remembered divergence theorem and it looks like I can put (sigma)E instead of J.
    But the result was not right. I think this may not work. Do you know why it doesn't work? Or where I made a mistake?
    Hi, it doesn't work because the J takes into account the total current density, whereas the relation between J and E takes into account only the free current density.

    \vec{J_{free}} = \sigma \vec{E}
    \vec{J} = \vec{J_{free}} + \vec{J_{bound}}
 
 
 
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