ECE 329
Homework 5
Due: Feb 18, 2008, 5PM
E
1
= 2 cos(
ωt

βz
)ˆ
x
V/m
E
2
=
E
o
cos(
ωt

βz
)ˆ
x

E
o
sin(
ωt

βz
)ˆ
y
H
3
= cos(
ωt
+
βz
+
π
3
)ˆ
x
+ sin(
ωt
+
βz

π
6
)ˆ
y
A/m
1. For each of the three plane waves (in free space) described by
E
1
,
E
2
, and
H
3
given above:
a) Determine the expression for
H
or
E
that accompanies the given wave ±eld.
b) Find the expression for instantaneous power that crosses a 1 m
2
area in the
xy
plane from

z
to
+
z
.
c) Find the corresponding ±eld phasors
˜
E
and
˜
H
so that
E
=
Re
{
˜
E
e
jωt
}
and
H
=
Re
{
˜
H
e
jωt
}
in
each case.
d) Find time averaged power that crosses a 1 m
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 Spring '08
 FRANKE
 Polarization, Transverse wave, Fundamental physics concepts, xy plane, time averaged power

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