Suppose E fields and H fields are: E = E,ej(k.r-wt) H = Hoej(k.r-wt) Where k = k,a, + kyay + kçaz and r= xa,+ya,+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 = μωΗ kx H = - HwH From these equations deduce ak X aɛ = aH and ak × an = -aɛ
Suppose E fields and H fields are: E = E,ej(k.r-wt) H = Hoej(k.r-wt) Where k = k,a, + kyay + kçaz and r= xa,+ya,+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 = μωΗ kx H = - HwH From these equations deduce ak X aɛ = aH and ak × an = -aɛ
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
Suppose E fields and H fields are:
? = ?0?
?(?.?−⍵?)
? = ?0?
?(?.?−⍵?)
?ℎ??? k = kxax + kyay + kzaz and r = xax+yay+zaz
Show that ? × ? = − ??/?? can be expressed as K × E = ??? and deduce ak × aE
= aH
For the same fields:
Show that Maxwell’s equation in a source-free region can be written as
k.E = 0
k.h=0
k × E = ???
k × H = − ???
From these equations deduce ak × aE = aH and ak × aH = −a
![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 = -](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec44747c-3c17-4b5e-aac1-d04af1de531e%2F46add1e7-f83d-4d69-acf5-330da094493c%2F0x2zgnt_processed.png&w=3840&q=75)
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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