Suppose E fields and H fields are: E = E,ej(k.r-wt) H = Hoej(k.r-wt) Where k = kya, + kyay + k;az and r = xa,+yay+za, Show that V x E = – ƏB/Ət can be expressed as K x E = µwH and deduce ak x aɛ = ан For the same fields: Show that Maxwell's equation in a source-free region can be written as k.E = 0 k.h=0 kxE= μ Η kx H= μωΗ From these equations deduce ak x aɛ = aH and ak × an = -aɛ

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Suppose E fields and H fields are:
E = E,ej(k.r-wt)
H = Hoej(k.r-wt)
Where k = kşax + kyāy + kzaz and r = xa,+yay+za;
Show that V x E = - ƏB/dt can be expressed as K x E = µwH and deduce ak x aɛ =
ан
For the same fields:
Show that Maxwell's equation in a source-free region can be written as
k.E = 0
k.h=0
kxE = μωΗ
kx H= - μωΗ
-aE
From these equations deduce ak × aɛ = aH and ak × aH = -
Transcribed Image Text:Suppose E fields and H fields are: E = E,ej(k.r-wt) H = Hoej(k.r-wt) Where k = kşax + kyāy + kzaz and r = xa,+yay+za; Show that V x E = - ƏB/dt can be expressed as K x E = µwH and deduce ak x aɛ = ан For the same fields: Show that Maxwell's equation in a source-free region can be written as k.E = 0 k.h=0 kxE = μωΗ kx H= - μωΗ -aE From these equations deduce ak × aɛ = aH and ak × aH = -
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