How Does Magnetic Flux Density B Relate to E and H in Electromagnetic Waves?

AI Thread Summary
Magnetic flux density B follows a homogeneous wave equation in the context of electromagnetic waves within a homogeneous, linear, uncharged conductor. The wave equation for B is expressed as ∇²B - εμ ∂B/∂t = 0. The relationship between B and the electric field E and magnetic field H is established through auxiliary equations that connect these quantities to D and B, which are influenced by material properties. Understanding these relationships is crucial for solving the wave equation for B, especially since E and H are orthogonal. The discussion highlights the need for clarity on how B interrelates with E and H in electromagnetic theory.
faber
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Hi,
We were told to show that the magnetic flux density B obeys a homogenous wave equation. This case applies to electromagnetic waves in a homogenous, linear, uncharged conductor.
Now I know that the wave equation for magnetic flux density is as follows.

[ tex ] \nabla^2-\epsilon\mju \frac {\deltaB} {\deltaT}=0 [ \ tex ]

However I am a little confused on what the solution of the wave equation will be for B. I have the solution for E and H and know they are both orthogonal how is B related to these?
 
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There're two auxiliary equations that relate E and H to D and B via material properties. They have it in Wikipedia http://en.wikipedia.org/wiki/Maxwell's_equations [/URL]
 
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