How to Determine Constants in Electromagnetic Wave Equations?

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SUMMARY

The discussion focuses on determining the constants A, B, C, and D in the electromagnetic wave equations for electric field E and magnetic field B in a vacuum. The equations provided are E=(1.3i + 2.6j + Ak) (10^2 V/m) e^i[(2.1x + Cy + 2.1z) 10^7 m^-1 - Dt] and B=(-7.5i + Bj + 7.5k) (10^-7 T) e^i[(2.1x + Cy + 2.1z) 10^7 m^-1 - Dt]. The key insight is that the electric and magnetic fields must be perpendicular to the direction of wave propagation, which is determined by the wave vector. The relationship between the E and B fields is also crucial, as it relates to the speed of light in a vacuum.

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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 propagation,

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?
 

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