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Calculate electric field given the magnetic field

  1. Nov 26, 2015 #1
    1. The problem statement, all variables and given/known data
    The B field depends on z and t so that
    ##B = j B_{0}cos(kz-\omega t)## where k is the wavenumber, ##\omega## is angular frequency and ##B_{0}## is constant.
    The electric field is ##E = E_{x}i + E_{y}j +E_{z}k##. Given ##E_{y}=E_{z}=0##, and ##E_{x}=\frac{\omega B_{0}}{k}## at ##t=z=0##, determine an expression for ##E_{x}##.

    2. Relevant equations


    3. The attempt at a solution
    I think I'm probably missing some sort of important concept! I feel like some sort of integration/differential equation should be involved, especially since ##E_{x}## at ##t=z=0## looks like a boundary condition. But I don't know how to turn this expression at t=0 into a general expression. It might not even have anything to do with the magnetic field...
     
  2. jcsd
  3. Nov 26, 2015 #2

    Simon Bridge

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    You use your understanding of the relationship between E and B fields.
    What sort of B field is the equation for?
    What do you know about that kind of EM field?
     
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