ECE 329
Homework 13
Due: Tue, April 22, 2008, 5PM
The following is a set of relatively simple S.C. exercises appropriate for an “exam week”. The following week
we will have some more challenging T.L. and S.C. problems to work out.
1. A T.L. with characteristic impedance
Z
o
= 50
Ω
and length
l
= 0
.
2
λ
is terminated with a load
Z
L
= 100
Ω
.
a) Using a S.C., determine (i) the load reflection coe
ffi
cient
Γ
L
, (ii) the generalized reflection co
e
ffi
cient
Γ
(
d
)
at
d
=
l
, and (iii) the input impedance
Z
(
l
)
at the generator end. Hand in your
S.C.
b) Using
Z
(
l
)
from part (a), determine the voltage phasor
V
(
l
)
at the generator end if the generator
has an open circuit voltage phasor
V
T
= 10
V and a Thevenin impedance
Z
T
= 50
Ω
.
c) Given the result of (b), determine
V
+
such that
V
(
d
) =
V
+
(
e
j
β
d
+
Γ
L
e

j
β
d
)
.
d) What is the load voltage phasor
V
(0)
given the result of (c)?
e) What is the corresponding load current
I
(0)
?
2. Repeat problem 1 if
Z
L
= 50
Ω
. — Note: in this “trivial” problem where the load is matched to the
load you hardly need to use a S.C.. Nevertheless, in order to appreciate the simplifications of having
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 Spring '08
 FRANKE
 Electrical impedance, S.C., characteristic impedance Zo

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