1
ECE 166 – Microwave Circuits and Systems
Homework #2– Due Thursday October 22, 2009
1.
Consider a transmission line with length l, Zg=0, Z=inf, and with Vg=u(t). The line is lossless.
a)
Calculate and plot the voltage in the middle of the line (point B).
b)
Redo (a) but assume that the line has a voltage loss of 0.1 (e
−α
l
=0.1).
2.
On a
single
50
Ω
Smith Chart, plot the following impedance points
(Smith chart exercises for the mind
and spirit). DO NOT USE A CALCULATOR, only the Smith Chart.
Z
A
= 20j80
Ω
(what is
Γ
A
? What is y
A
 normalized)
Γ
B
= 0.6
∠
120
°
(what is ZB? What is y
B
– normalized)
Z
C
= 30 – j30
Ω
in series with 80 + j50
Ω
(what is Z
C
)?
Z
D
which is composed of (30 + j80) in parallel with (50 – j50)
Ω
. (what is
Γ
D
? What is y
D
 normalized)
Z
E
is Z
A
but with a 6 dB attenuator in front of it (what is
Γ
E
?)
Z
F
is Z
A
but with 0.15
λ
Tline in front of it (What is
Γ
F
?)
All the locations for VSWR = 1.6 (what is
Γ
?)
3.
This problem is to show you the impedance loci of real components used at microwave frequencies.
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 '10
 CS
 Volt, Inductor, 2 K, Transmission line, Impedance matching, Smith chart, 0.6 120°

Click to edit the document details