NAME _
NETID _
MIDTERM EXAM SOLUTIONS (Closed book)
ECE 451
October 20, 2007 12:00 12:50 p.m.
Instructions: Write your name and section where indicated. You are allowed to use a calculator and one for
ECE 451 1. 1. Pozar 2.19 2. Pozar 2.24
Homework 1
Due Wednesday September 17, 2008
3. A lossless transmission line with characteristic impedance Zo = 50 is connected to a o source with Vg = 50 0 V, Zg
Name_
ECE 451 Quiz 1  Solution
For the transmissionline circuit shown below, what is S11 measured on a 50 network analyzer?.
/2
S11 Zo=25 ZR=75
Since the line length is a half wavelength, the impe
ECE 451
Homework 3
Due Wednesday, March 1, 2017
1. A transmission line has characteristic impedance Zc, propagation constant and length l. Use Zo as
Z Zo
the reference impedance. Define X e j l and c
ECE 451
Homework 2
Due Wednesday September 23, 2015
1. Derive the Z and Y matrices for the following twoport networks:
(a)
(b)
2. A fourport network has the scattering matrix shown below
(a)
Is this
ECE 451
Homework 3
Due Wednesday October 7, 2015
1. The scattering parameters of a twoport are S11 = 0.25, S12 = 0, S21 = 1.2, and S22 = 0.5. The
system reference impedance is 50 and the Thvenin equi
NAME _Solutions_
NETID _
MIDTERM EXAM
ECE 351
October 14, 2015
Instructions: Write your name and network ID where indicated. This examination consists of 3
problems. This is an openbook and opennote
Homework 3  Solutions
Problem 1
(a) No, S12 S21
(b)
Maximum available power condition:
1 2
V / 50 1 mW V 0.316V E 2V 0.632V
2
(c)
Since S12 = 0, in = S11 = 0.25
2
PR IN PIN (0.25) 2 1 mW 62.5W
(d)
Zo
ECE451
AdvancedMicrowaveMeasurements
SParameters
Jose E. SchuttAine
Electrical & Computer Engineering
University of Illinois
[email protected]
ECE451 JoseSchuttAine
1
Transfer Function Represent
ECE451
AdvancedMicrowaveMeasurements
TransmissionLines TDR
Jose E. SchuttAine
Electrical & Computer Engineering
University of Illinois
[email protected]
ECE451 JoseSchuttAine
1
DeterminingV+
For
ECE451
CoupledLines
Jose E. SchuttAine
Electrical & Computer Engineering
University of Illinois
[email protected]
ECE451 JoseSchuttAine
1
Crosstalk Noise
Signal Integrity
Crosstalk
Dispersion
Atten
ECE 451
Homework 1
Due Wednesday, September 9, 2015
IR
+
Zo = 50
VR
ZR = 75

l = 3/4
1. Given the lossless transmission line shown above,
(a)
Find the reflection coefficient R and the standing wave
ECE 451 Automated Microwave Measurements
Homework #4 Due Wednesday, October 21, 2015
Modeling Microstrip Lines in ADS
Introduction
While direct measurement of a device is the most accurate way to dete
ECE 451
Homework 1
Solutions
IR
+
Zo = 50
VR
ZR = 75

l = 3/4
1. Given the lossless transmission line shown above,
(a)
Find the reflection coefficient R and the standing wave ratio (SWR) for this
l
Homework 3  Solutions
Problem 1
(a) Calculating S11
At the load (z=l), the reflection coefficient is: R
Zo Zc
Zo Zc
At the input of the transmission line (z=0), the reflection coefficient is in
i
1. A parallelplate waveguide is filled with a dielectric = 9o and = o. The separation between
the plates is 2.5 cm. Determine the propagating modes for a wave of frequency 5 GHz. For each
propagating
PARALLELPLATE WAVEGUIDES
Wave Equation
2 E 2 E 0
(1)
2 Ex 2 Ex 2 Ex
+
+
=  2 Ex
2
2
2
x
y
z
2 Ey
2 Ey
2 Ey
(2a)
=  2 E y
(2b)
2 Ez 2 Ez 2 Ez
+
+
=  2 Ez
x 2
y 2
z 2
(2c)
x
2
+
y
2
+
z
2
PEC
x
WAVEGUIDES
x
z
y
,
Maxwell's Equation
2E + 2E = 0
(A)
2H + 2H = 0
(B)
For a waveguide with arbitrary cross section as shown in the above figure, we assume a plane
wave solution and as a first trial,
ECE451
AdvancedMicrowaveMeasurements
TransmissionLines
Jose E. SchuttAine
Electrical & Computer Engineering
University of Illinois
[email protected]
ECE451 JoseSchuttAine
1
MaxwellsEquations
E
H J
ECE 451
Section
X
FALL 2008
Time
Instructor
12:00 MW J. SchuttAine
Room
260 EL
Book
D. M Pozar, Microwave Engineering, John Wiley, 2005
Notes
Lab notes can be downloaded from course web site at: http
ECE451
AdvancedMicrowaveMeasurements
TLCharacterization
Jose E. SchuttAine
Electrical & Computer Engineering
University of Illinois
[email protected]
ECE 451 Jose SchuttAine
1
MaxwellsEquations
E
ECE 451
HOMEWORK # 5
Due Wednesday, November 4, 2015
PART I. INTRODUCTION TO HFSS
Go through the HFSS tutorial available from the ECE451 course website. Attach screenshots of
your design, as well as y
ECE451
AdvancedMicrowaveMeasurements
SignalIntegrity
Jose E. SchuttAine
Electrical & Computer Engineering
University of Illinois
[email protected]
ECE451 JoseSchuttAine
1
SignalIntegrity
Attenua
ECE451
AdvancedMicrowaveMeasurements
TransmissionLines TDR
Jose E. SchuttAine
Electrical & Computer Engineering
University of Illinois
[email protected]
ECE451 JoseSchuttAine
1
DeterminingV+
For
ECE451
AdvancedMicrowaveMeasurements
TransmissionLines
Jose E. SchuttAine
Electrical & Computer Engineering
University of Illinois
[email protected]
ECE451 JoseSchuttAine
1
MaxwellsEquations
E
ECE 451
Homework 4
Solutions
Problem 1 The voltage and current on a lossless transmission line are V ( z ) = V + e z + V e + z
I ( z ) = Yo (V + e z V e + z )
Let port 1 be located at z=l with voltag