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EE 541
USC Viterbi School of Engineering
J. Choma
Homework #08
115
Fall Semester, 2011
U
niversity of
S
outhern
C
alifornia
USC Viterbi School of Engineering
Ming Hsieh Department of Electrical Engineering
EE 541:
Homework Assignment #08
Fall, 2011
Due: 11/22/2011
Choma
Problem #42:
The distributed line in Figure (P42) is lossless and is characterized by a characteristic
impedance of
Z
o
.
It operates at a frequency for which its physical length is
N-
wavelengths.
Z
o
Z
in
Figure (P42)
(a).
In terms of
Z
o
and the sine and cosine of appropriate functions of
N
, derive an expression
for the indicated impedance,
Z
in
.
(b).
Evaluate
Z
in
for line lengths of
¼
and
½
wavelengths.
Problem #43:
The quarter wavelength transmission line in the schematic diagram of Figure (P43)
has a real characteristic impedance of
Z
o
.
The circuit is to be designed as a resonant structure
having a radial tuned frequency of
o
.
R
l
C
l
C
s
Z
o
¼
V
o
V
i
V
s
R
s
Z(
j )
in
V
x
x
Figure (P43)
(a).
In terms of
o
, load resistance
R
l
, signal source resistance
R
s
, and load capacitance
C
l
, give
an expression for capacitance
C
s
, such that the indicated input impedance,
Z
in
(j
ω
)
, matches
the source resistance at frequency
o
.

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