ECE 329
Homework 9 Solutions
Due: Fri, July 18, 2014, 5PM
t A
1. The pulse of sheet current Js (t) = y 2trect( ) m will produce magnetic and electric elds as shown in
the following gure.
x
E+ H+
E+
z
Js(t) = y Jso(t)
H+
y
H
E
E H
The magnetic eld is: (its

ECE 329
Homework 13 Solutions
Due: Mon, Aug 04, 2014, 5 PM
1. This problem is similar to that given in Example 3 in Lecture 30.
a) The voltage in the rst line will be a sum of incident V + and reected voltages V , i.e. V1 =
V + + V whereas in the second l

ECE 329
Homework 8 Solutions
Due: Tue, July 15, 2014, 5PM
1.
a) Solution of the left-hand side of the Faradays law r E =
x
rE=
y
z
@
@x
@
@y
@
@z
0
cos(!t + x)
which must be equal to
@B
@t .
@B
@t
is given by
@
(sin(!t + x) z =
@x
=
0
sin(!t + x),
z
Thus,

ECE 329
Homework 11 Solutions
Due: Fri, July 25, 2014, 5 PM
1. For a wave propagating at 10 kHz in the medium of interest, ! = 0.89 105
1. Therefore, the sea
water is considered to be a good conductor. Thus, attenuation constant is calculated as
p
p
f =

ECE 329
Homework 10 Solutions
Due: Tue, July 22, 2014, 5PM
1.
a)
i. The electric eld phasor E = (2 j2) e+ z can also be written as E |z=0 = 2 + 2e
x
y
x
y
This simply shows that x component leads the y component by 90 .
j
2
.
ii. At z = 0, the wave eld ve

ECE 329
Homework 12 Solutions
Due: Tue, July 29, 2014, 5 PM
1. An x-polarized electric eld of a TEM wave propagating in the z-direction in free space can be
expressed as
E = x E e j z,
whereas its corresponding magnetic eld is given by
H=y
E
o
j z
e
,
T

ECE 329
Homework 14 Solutions
Due: Thu, Aug 7, 2014, 5 PM
1. Smith chart
The red circles in the following gure correspond to normalized impedances z =
values of r. We can ll the following table:
Z
Zo
= r + jx, for xed
+j1.0
+j0.5
radius=
1
r+1
1
0.5
1
3
+

ECE 329
Homework 2+ Solutions
Due: Tue, June 23, 2015, 5PM
1. Optional problem :
a) A particular solution : As mentioned in the question, this problem has been solved in HW1.
Please refer to (3) in the solutions of HW1. However, as the problem is set up d