In the S frame, the non-zero components of the electromagnetic field are Ez and By. Using the field transformations, show that Ē₂ = Ēo cos(kx – wt), where Eo is some new electric field amplitude in the S frame that you must solve. After that, cal- culate for the associated magnetic field. Use your results to explain why the field transformation of an electromagnetic wave also yields an electromagnetic wave.
In the S frame, the non-zero components of the electromagnetic field are Ez and By. Using the field transformations, show that Ē₂ = Ēo cos(kx – wt), where Eo is some new electric field amplitude in the S frame that you must solve. After that, cal- culate for the associated magnetic field. Use your results to explain why the field transformation of an electromagnetic wave also yields an electromagnetic wave.
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Transcribed Image Text:In the S frame, the non-zero components of the electromagnetic field are E, and By. Using the
field transformations, show that
Ē₂ = Ēº cos(kã — wt),
where Ēo is some new electric field amplitude in the 5 frame that you must solve. After that, cal-
culate for the associated magnetic field. Use your results to explain why the field transformation
of an electromagnetic wave also yields an electromagnetic wave.
Transcribed Image Text:Consider two frames S and S, where 5 moves with velocity vi with respect to S. In this problem you
will find out what an electromagnetic wave looks like in a moving frame of reference. Consider an
electric field (according to S) travelling in the x-direction and polarized in the z-direction given by
Ē(x, t) = E cos(kx – wt)k
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