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Consider the following electric and magnetic fields in empty space in the region 0< y<a:
ITX
E, =-E,@
sin
|sin(kz – at)
a
B. = E, cos
cos (kz – ot)
%3D
a
B, = E,A Jsin sin (kz - ax)
sin (kz – ot)
All other field components are zero; Eo, a, k, and w are constants.
(i)
Find the conditions for which these fields satisfy Maxwell's equations.

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