Using Maxwell’s equations in free space, derive the wave equation for the
electric field vector. Obtain the conditions under which the following time varying
electric and magnetic fields satisfy Maxwell’s equations in vacuum with no source
charges or currents:
ˆ sin ( )
E = k E0 y − vt
ˆ sin ( )
B = i B0 y − vt
where E0 and B0 are constant.
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