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ECE 329
Homework 13
Due: Tuesday, December 8, 2009, 5 PM
1. A T.L. with characteristic impedance
Z
0
= 50 Ω
and length
l
= 0
.
2
λ
is terminated with a load
Z
L
= 100 Ω
.
a) Using a Smith Chart, determine (i) the load reﬂection coeﬃcient
Γ
L
, (ii) the generalized reﬂection
coeﬃcient
Γ(
d
)
at
d
=
l
and (iii) the input impedance
Z
(
l
)
at the generator end. Hand in your
marked Smith Chart.
Hint:
Start by ﬁnding the normalized load impedance
z
L
=
Z
L
/Z
0
on
the Smith Chart. Express
Γ
L
and
Γ(
d
)
as complex numbers in polar form

i.e., as

Γ

6
θ
.
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
g
= 10
V and a Thevenin impedance
Z
g
= 50 Ω
.
c) Given the result of (b), determine
V
+
such that
V
(
d
) =
V
+
(
e
jβd
+ Γ
L
e

jβd
)
.
d) What is the load voltage phasor
V
(0)
given the result of (c)?
e) What is the corresponding load current
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This note was uploaded on 02/21/2010 for the course ECE 329 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Kim
 Impedance

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