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ECE 3025C

Electromagnetics
Homework Assignment
#1
August 30, 2007
Problem 1. (3 points)
A trace of width
a
= 0.15 mm and length
L
= 3 cm runs along the top of a printed circuit board
made of FR4 (nonmagnetic) which has a relative permittivity of
4.9
r
ε
=
.
A.
What is the propagation delay for a signal traveling along this trace?
B.
What is the phase shift for a 500 MHz sinusoidal signal?
C.
What is the phase shift for a 2.1 GHz sinusoidal signal?
Problem 2. (3 points)
In class we showed that
(/
)
p
Vft zv
+
−
is a solution to the one dimensional wave equation:
22
vv
LC
zt
∂∂
=
A.
Show that
)
p
−
+
is also a solution.
B.
Show that
)
p
I gt z v
+
−
and
)
p
−
+
are solutions of
ii
LC
∂
∂
=
∂
∂
.
C.
Use the transmission line equations to express
)
p
−
+
in terms of
)
p
−
+
.
Problem 3. (4 points)
RG174 is a common type of miniature 50 ohm coaxial cable.
Assume that a 3 meter length of
RG174 is used to connect a 5 volt source to a 225 ohm load resistor.
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 Spring '08
 CITRIN
 Electromagnet

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