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Homework Help: Prove Waves have speed c

  1. Apr 23, 2009 #1
    the general wave equation has form [itex]\nabla^2f=\frac{1}{v^2} \frac{\partial^2 f}{\partial t^2}[/itex]

    is proving using Maxwell equations that the electric field satisfies a wave equation of the form [itex]\nabla^2 E=\mu_0 \epsilon_0 \frac{\partial^2 E}{\partial t^2}[/itex] sufficient to show that the wave has velocity v?
     
  2. jcsd
  3. Apr 23, 2009 #2

    Hootenanny

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    I would say so.
     
  4. Apr 23, 2009 #3

    dx

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    Yes, that would show that electromagnetic waves have speed 1/√(µε).
     
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