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EE 541
USC Viterbi School of Engineering
J. Choma
Homework #02
13
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 #02
Fall, 2011
Due: 09/08/2011
Choma
Problem #06:
Consider the linear, bilateral, and symmetric two-port network abstracted in
Figure (P6a).
Observe that the load
(R
l
)
terminating the output port of the network is purely
resistive, as is the intrinsic impedance
(R
s
)
associated with the applied signal source.
Linear, Bilateral,
Symmetric
Two-Port Network
I
2
V
2
V
1
R
l
R
s
V
s
I
1
Z
in
Figure (P6a)
(a).
In terms of the open circuit impedance parameters,
z
ij
, of the subject network, show that
maximum power transfer between the applied signal source and the network input port
requires
2
11
s
11
l
12
zR
z
.
(b).
What network condition must be satisfied if the indicated input impedance,
Z
in
is designed
to be
KR
l
, where
K
is a positive, frequency invariant constant?
(c).
If
Z
in
= R
and
R
l
= R
, what relationship must resistance
R
satisfy in terms of the open
circuit impedance parameters of the linear, bilateral, symmetric two-port network?

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