Electric & Magnetic Fields Out of Phase: Why?

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Shailesh Pincha
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Why can't we have an Electromagnetic wave in which the Electric Field and Magentic Field aren't in phase?
 
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You can - it depends on the medium in which the wave is propagating. In free space or an idealized loss-less dielectric they are in phase. Once you add a little loss in the dielectric (as all real dielectrics have) then the fields are no longer exactly in phase. In a good conductor the electric and magnetic fields are 45 degrees out of phase.

jason
 
In a good conductor the electric and magnetic fields are 45 degrees out of phase.

jason
Is the 45 degrees for a wave propagating inside the conductor? Thank you.
 
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Is the 45 degrees for a wave propagating inside the conductor? Thank you.
Yes.
 
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Is there an analytical solution to show that E and M fields in a perfect conductor are out of phase by 45 degrees? (I can handle the calculus.)