ECE 329
Homework 13
Due date: see below
1.
Due date: Tue, Apr 28, 2009, 5PM:
The solution of the following problem can be found in our
web site — see solution handout for Exam 3, Fall 08. We ask you to first attempt the problem without
looking at the solution. After your initial work you are allowed to compare your results with the posted
solution and making any adjustments that you like before handing in the assignment by 5 PM on Tue.
Consider a transmission line segment of propagation velocity
v
p
=
2
3
c
= 2
×
10
8
m/s, characteristic
impedance
Z
o
= 50
Ω
, and length
l
. As shown in figure (a) below, the segment is connected
in parallel
with a 50
Ω
resistor
and an ideal
current source
i
(
t
) =
Re
{
Ie
j
ω
t
}
, where
I
= 2
∠
0
A is the source
current phasor and
ω
=
π
×
10
8
rad/s; figure (b) depicts an
equivalent circuit
in terms of input
impedance of the transmission line at
d
=
l
, namely
Z
(
l
)
≡
V
(
l
)
I
(
l
)
.
(a) Transmission line circuit
(b) Equivalent circuit
V
(
l/
2)
0
d
l/
2
+

+

+

2
0 A
50
Ω
50
Ω
Z
(
l
) =
V
(
l
)
I
(
l
)
V
(0)
I
(0)
V
(
l
)
I
(
l
)
I
(
l/
2)
2
0 A
l
I
R
I
R
In answering the following questions assume that the circuit above is in sinusodial steadystate:
a) What is the signal wavelength
λ
(in m) on the transmission line?
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '08
 Kim
 Electromagnet, Complex number, Transmission line, Impedance matching, ΓR

Click to edit the document details