By assuming the time-dependent fields E = E o e j(k r - wt ) and
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By assuming the time-dependent fields E = Eoej(k ∙ r - wt) and H = Hoej/(k ∙ r - wt) where k = kxax + kyay + kzaz is the wave number vector and r = xax + yay + zaz is the radius vector, show that ∆ × E = – ∂B/∂t can be expressed as k × E = μwH and deduce ak × aE = aH.
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