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Prove Waves have speed c

  • #1
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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?
 

Answers and Replies

  • #2
Hootenanny
Staff Emeritus
Science Advisor
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I would say so.
 
  • #3
dx
Homework Helper
Gold Member
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Yes, that would show that electromagnetic waves have speed 1/√(µε).
 
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