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Electric and magnetic field relationship

  1. Nov 28, 2016 #1
    1. The problem statement, all variables and given/known data
    Why is the following set of electric and magnetic fields invalid?
    ##E(x, y, z, t)= E_0 \sin{(kz-wt)} \hat{i}##

    ##B(x, y, z, t) = B_0 \sin{(kz+wt)} \hat{j}##


    2. Relevant equations


    3. The attempt at a solution
    So, I understand that either both should have (kz-wt) or both should have (kz+wt). Either than the fact that the cross product of electric and magnetic fields is a scalar times a vectors that does not depend on time, whereas here the cross product gives me something like a standing wave in the z direction, I'm not sure why both should have (kz-wt) or both should have (kz+wt). Please help.
     
  2. jcsd
  3. Nov 28, 2016 #2

    TSny

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    Have you studied Maxwell's equations?
     
  4. Nov 28, 2016 #3
    Yes
     
  5. Nov 28, 2016 #4

    TSny

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    If you can show that any one of Maxwell's equations is violated at some point of space at some instant of time, then the fields are invalid.
     
  6. Nov 29, 2016 #5
    Thank you! Got it.
     
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