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Cross product Question

  1. Aug 1, 2006 #1
    Hi, my question is the following:

    [itex]
    \frac{\delta\vec E}{\delta t}\times \vec B = ?
    [/itex]
    In other words, how can i develop this cross product.
    Are there any identity that reduces this product?
    Thanks.
     
  2. jcsd
  3. Aug 1, 2006 #2

    berkeman

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    Staff: Mentor

    Do you have E as a function of time? What coordinate system are you taking the cross product in?
     
  4. Aug 1, 2006 #3
    of course E is a function of time, and i think for simplicity the coordinate system is cartesian. Thanks
     
  5. Aug 1, 2006 #4

    StatusX

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    Homework Helper

    There is the product rule d/dt(E x B) = dE/dt x B + E x dB/dt. That's about all I can tell you unless you give us what E and B are explicitly (which is what I think berkeman was asking).
     
  6. Aug 1, 2006 #5

    berkeman

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    Staff: Mentor

    Fair enough. Take the derivative and use the determinant form of the cross product. That should get you what you need.

    http://en.wikipedia.org/wiki/Cross_product
     
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