ECE 329
Homework 12
Due: Tue, Nov 18, 2008, 5PM
1. A generator with internal resistance
R
g
= 60
Ω
puts out a voltage
f
(
t
) = 60
δ
(
t
)
down a T.L. (see the
ckt diagram on the left below) that has an unknown characteristic impedance
Z
o
and an unknown
resistive load termination
R
L
at an unknown distance,
L
, from the generator. At a distance
z
= 300
m from the generator, the voltage waveform as a function of time is as plotted below on the right.
a) Determine the impedance of the transmission line,
Z
o
.
b) Determine the load resistance,
R
L
.
c) Determine the length of the transmission line,
L
in meters.
d) Sketch a bounce diagram using the axes shown below for the
current
waveform
i
(
z, t
)
— not the
voltage waveform as we have often done — for
0
< t <
10
μ
s. Be sure to mark the numerical
values for the amplitude of the current in the diagram.
e) What is the algebraic expression for the current waveform as a function of
(
z, t
)
for the domain
0
< z < L
and
0
< t <
10
μ
s.
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 Spring '08
 FRANKE
 Frequency, Impedance, Volt, Transmission line, Standing wave, voltage waveform

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