Problem 7.19 Ignoring reection at the airsoil boundary, if the amplitude of a
3-GHz incident wave is 10 V/m at the surface of a wet soil medium, at what depth will
it be down to 1 mV/m? Wet soil is ch
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Given name:
Student number
Signature
Faculty of Applied Science and Engineering
ECE357 Electromagnetic Fields
First Test, February 16, 2006
Examiners M. Mojahedi
Only Calculators approved
Problem 8.1 A plane wave in air with an electric eld amplitude of 20 V/m is
incident normally upon the surface of a lossless, nonmagnetic medium with r = 25.
Determine the following:
(a) The reection
Problem 7.1 The magnetic eld of a wave propagating through a certain
nonmagnetic material is given by
H = z 30 cos(108t 0.5y) (mA/m)
Find the following:
(a) The direction of wave propagation.
(b) The
Problem 3.41 Evaluate the line integral of E = x x y y along the segment P1 to P2
of the circular path shown in the gure.
y
P1 = (0, 3)
x
P2 = (3, 0)
Solution: We need to calculate:
P2
P1
E d .
Since
Problem 6.1 The switch in the bottom loop of Fig. P6.1 is closed at t = 0 and
then opened at a later time t1 . What is the direction of the current I in the top loop
(clockwise or counterclockwise) at
UNIVERSITY OF TORONTO
FACULTY OF APPLIED SCIENCE AND ENGINEERING
The Edward S. Rogers Sr. Department of
Electrical and Computer Engineering
ECE320H1F FIELDS AND WAVES
PROBLEM SET 5
Topics:
diagrams
Im
UNIVERSITY OF TORONTO
FACULTY OF APPLIED SCIENCE AND ENGINEERING
The Edward S. Rogers Sr. Department of
Electrical and Computer Engineering
ECE320H1F FIELDS AND WAVES
PROBLEM SET 5
Topics:
Review of v
UNIVERSITY OF TORONTO
FACULTY OF APPLIED SCIENCE AND ENGINEERING
The Edward S. Rogers Sr. Department of
Electrical and Computer Engineering
ECE320H1F FIELDS AND WAVES
PROBLEM SET 4
Topics:
Time-harmon
UNIVERSITY OF TORONTO
FACULTY OF APPLIED SCIENCE AND ENGINEERING
The Edward S. Rogers Sr. Department of
Electrical and Computer Engineering
ECE320H1F FIELDS AND WAVES
PROBLEM SET 2
Topics:
Time-harmon
ECE320H1F Fields and Waves
Problem Set 1 Solution
1.
Calculate the current phasor:
.
Convert to time domain:
0.6
0.6 cos
67
.
2. a) First convert from sin to cos, then convert into a phasor:
4 cos
90
UNIVERSITY OF TORONTO
FACULTY OF APPLIED SCIENCE AND ENGINEERING
The Edward S. Rogers Sr. Department of
Electrical and Computer Engineering
ECE320H1F FIELDS AND WAVES
PROBLEM SET 3
Topics:
Time-harmon
UNIVERSITY OF TORONTO
FACULTY OF APPLIED SCIENCE AND ENGINEERING
The Edward S. Rogers Sr. Department of
Electrical and Computer Engineering
ECE320H1F FIELDS AND WAVES
PROBLEM SET 9
Topics: Plane-Wave
ECE320 Quiz # 3 ' ' Page 1
PROBLEM #1. [10 POINTS]
A step function is launched onto a transmission line as shown in Figure 1. THe step function is
generated at t = O by the arrangement of the batter
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Signature
Faculty of Applied Science and Engineering
ECE357 Electromagnetic Fields
First Test, February 4, 2005
Examiners M. Mojahedi
Only Calculators approved
Question 2 (35 marks)
A 75 lossless transmission line, with r = 2.25, is connected to a 40 V pulse generator with a
source impedance of 125 . The line is 200 m long and is terminated in a 25 load. At
Assignment #1
ECE357 Electromagnetic Fields
Spring 2005 / University of Toronto
1. Show that e j cos j sin .
2. The current through a circuit is found to be I 6-40. What is the expression
for the time
Transmission Lines Smith Chart &
Impedance Matching
(Intensive Reading)
1 The Smith Chart
Transmission line calculations such as the determination of input impedance using equation
(4.30) and the refl
ECE 134
Introductory Electromagnetics
Prof. York
Review of Transmission-Line Theory
The term transmission-line in electromagnetics is commonly reserved for those structures which are capable of guidin
ECE320 Quiz # 4 Page 1
PROBLEM #1. [10 POINTS]
A stationary square loop of wire is placed in the cry-plane centred at the origin, as shown in Fig-
ure 1. The dimensions of the loop are 2 cm X 2 cm
ECE320 Quiz # 2 Page 1
PROBLEM #1. [10 POINTS]
A lossless transmission line with a length of K = 0.2 m is left opencircuited, as shown in Figure 1.
A travelling voltage wave with a frequency of 2 GH
ECE320H1F-Fields and Waves
Problem Set 3 Solutions
Fall 2010
1)
L 2
C 2
) (1 j
)
( R jL )(G jC ) RG (1 j
R
G
1
1
Now, use the following relation: (1 x) 2 1 x for x 1
2
L
C
(Note that
1 and
1 )
R
G
UNIVERSITY OF TORONTO
FACULTY OF APPLIED SCIENCE AND ENGINEERING
The Edward S. Rogers Sr. Department of
Electrical and Computer Engineering
ECE320H1F FIELDS AND WAVES
PROBLEM SET 1
Topics:
Review of p
U NIVERSITY OF T ORONTO
FACULTY OF A PPLIED S CIENCE AND E NGINEERING
The Edward S. Rogers Sr. Department of Electrical and Computer Engineering
ECE 320H1F
F IELDS AND WAVES
MIDTERM
17 November 2011,
0.5 mark
0.5 mark
0.5 mark
0.5 mark
0.5 mark
0.5 mark
1 mark
0.5 mark
1 mark
0.5 mark
0.5 mark
0.5 mark
1 mark to
illustrate H
or B points
in xy plane
1 mark
0.5 mark
0.5 mark
0.5 mark
0.5 mark
0.5 ma
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Welcome to the
Undergraduate
Microwave Laboratory
Lab Manager: Dr. Tse V. Chan
TAs: Chang Po-Han, Rajeev
Pinha, Yuchu He, Sameer
Sharma, Gengyu Xu.
Overview
Instruments and components in the
undergrad
UNIVERSITY OF TORONTO
DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING
ECE320H1F FIELDS AND WAVES
COURSE OUTLINE 2017
Instructor
Office Room
Email Address
Lecture Times
Prof. Costas Sarris
(LEC01)
BA
UNIVERSITY OF TORONTO
DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING
ECE320H1F FIELDS AND WAVES
COURSE OUTLINE 2017
Instructor
Office Room
Email Address
Lecture Times
Prof. Costas Sarris
(LEC01)
BA
UNIVERSITY OF TORONTO
FACULTY OF APPLIED SCIENCE AND ENGINEERING
The Edward S. Rogers Sr. Department of
Electrical and Computer Engineering
ECE 320H1F FIELDS AND WAVES
PROBLEM SET 1
Purpose: To review