How to Determine Constants in Electromagnetic Wave Equations?

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ettojar
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Electromagnetic wave in a vacuum:

E=(1.3i + 2.6j + Ak) (10^2 V/m) e^i[(2.1x + Cy + 2.1z) 10^7 m^-1 - Dt]
B=(-7.5i + Bj + 7.5k) (10^-7 T) e^i[(2.1x + Cy + 2.1z) 10^7 m^-1 - Dt]

Find A,B,C,D


Not too sure how to approach, but since both have to be perpendicular to propagation should A and B = 0?
 
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no, how did you get that? but i think you have answered half the question, if you know the fields are perpindicular to the direction of propogation,

so what is the direction of propagation & try some dot products...

also how are the direction of the E & B fields related? What does represent & how is it relate to the speed of light?
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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