Winter 2015
Winter 2015
Electromagnetic Fields
ECSE 351B
Lectures:
MWF 08:35 AM 09:25 AM
Tutorials: F
T
Course Overview
ENGTR 1090
The course content for ECSE 351 corresponds to the first five
chapters of the course text, and will be presented as outlined below:
ENGTR 0060
ENGTR 0060
Chapter 1:
10:05 AM 11:25 AM
04:35 PM 05:25 PM
Text: Carl T. A. Johnk. Engineering Electromagnetic Fields
and Waves. John Wiley & Sons, New York, second
edition, 1988. (McGill University Book Store.)
Instructor: Dennis Giannacopoulos
Office Hrs: MWF 12:35 PM 01:25 PM ENGMC 625
(Updates available on myCourses)
Tel.:
Email:
(514) 3987128
dennis.giannacopoulos@mcgill.ca
Prerequisites:
Option I
10 %
10 %
15 %
65 %
Option II
10 %
10 %
25 %
55 %
In the event of extraordinary circumstances beyond the Universitys control, the
content and/or evaluation scheme in this course is subject to change.
Vector Analysis and Electromagnetic Fields
in Free Space
I. Electromagnetic Fields: Scalar and Vector Fields (Jan. 5)
II. Review of Vector Analysis Concepts (Jan. 7)
III. Electric Charges, Currents, and Their Densities (Jan. 9, 12)
IV. Electric and Magnetic Fields in Terms of Their Forces (Jan. 14)
V. Maxwells Integral Relations for Free Space
A. Gausss Law for Electric Fields in Free Space (Jan. 16, 19, 21)
B. Ampres Law in Free Space (Jan. 23, 26, 28)
C. Faradays Law (Jan. 30, Feb. 2, 4)
D. Gausss Law for Magnetic Fields (Feb. 6)
VI. Units and Dimensions (Feb. 6)
Chapter 2:
ECSE 200, MATH 264
Assessment:
Assignments
Quizes
Midterm Examination1
Final Examination
Vector Differential Relations and Maxwells
Differential Relations in Free Space.
I. Differentiation of Vector Fields (Feb. 9)
II. The Gradient of a Scalar Field (Feb. 9)
III. The Del Operator (Feb. 9)
IV. Divergence of a Vector Field (Feb. 11)
V. Curl of a Vector Field (Feb. 13)
VI. Laplacian and Curl Curl Operators (Feb. 16)
VII. Greens Integral Theorems: Uniqueness (Feb. 16)
Midterm Date: March 11, 2015.
351B: Introduction
351B: Introduction
Winter 2015
Chapter 3:
3
Maxwells Equations and Boundary Conditions
for Material Regions at Rest
I. Electrical Conductivity of Metals (Feb. 18)
II. Electric Polarization and Div D for Materials (Feb. 20, 23, 25)
III. Div B for Materials (Feb. 25)
IV. Magnetic Polarization and Curl H for Materials (Feb. 27, March 9)
V. Maxwells Curl E Relation (March 9)
VI. The Nature of Magnetic Materials (March 13)
VII. Conservation of Electric Charge (March 16)
VIII. Linearity, Homogeneity, and Isotropy in Materials (March 16)
Midterm Examination: March 11, 2015.
Chapter 4:
Static and Quasi-Static Electric Fields
I. Maxwells Equations for Static Electric Fields (March 18)
II.
Static Electric Fields of Fixed-Charge Ensembles
in Free Space (March 18)
III. Gausss Law Revisited (March 18)
IV. Electrostatic Scalar Potential (March 20)
V. Capacitance (March 23)
VI. Energy of the Electrostatic Field (March 25)
VII. Poissons and Laplaces Equations (March 27)
VIII. Uniqueness of Electrostatic Field Solutions*
IX. Laplaces Equation and Boundary Value Problems (March 30)
X. Introduction to Finite Difference Solution Methods (March 30)
XI. Image Methods*
XII. A Method for Statically Charged Conductors*
XIII. Field Mapping Solution Methods*
XIV. Conductance Analog of Capacitance*
XV. Electrostatic Forces and Torques (April 1)
* Optional: may be covered in tutorial sessions.
351B: Introduction
Winter 2015
Chapter 5:
4
Static and Quasi-Static Magnetic Fields
I.
Maxwells Equations and Boundary Conditions for
Static Magnetic Fields (April 8)
II. Ampres Circuital Law (April 8)
III. Magnetic Circuits (April 8)
IV. Vector Magnetic Potential (April 10)
V. An Integral Solution for A in Free Space:
Biot-Savart Law (April 10)
VI. Quasi-Static Electromagnetic Fields (April 13)
VII. Open-Circuit Induced Voltage (April. 13)
VIII. Motional Electromotive Force and Voltage (April 13)
IX. Induced emf From Time-Varying A (April 13)
X.
Self-Inductance and Magnetic Energy (April 13)
XI. Coupled Circuits and Mutual Inductance (April 14)
XII. Magnetic Forces and Torques (April 14)
Course Objective
To introduce Maxwells equations as practical mathematical tools
along with the physical and field theory concepts essential for both
the understanding of fundamental electromagnetic phenomena and
practical application of basic electromagnetic analysis and design.
Academic Integrity
McGill University values academic integrity. Therefore, all students
must understand the meaning and consequences of cheating,
plagiarism and other academic offences under the Code of Student
Conduct and Disciplinary Procedures (see www.mcgill.ca/integrity
for more information).
351B: Introduction
Winter 2015
Winter 2015
Introduction
Example Engineering Applications of Electromagnetics
The science of electromagnetism, from its origins in classical
antiquity to its contemporary study, has played a vital role in the
intellectual development and technological progress of mankind.
Some Historical Milestones:
1834: Introduction of the telegraph (Wheatstone, Cook,
Morse, et. al.)
The formulation of Maxwells equations during the second half of
the nineteenth century provided a unified electromagnetic field
theory, which has endured and has had profound implications in
areas ranging from relativity theory to communications technology.
1851:
First undersea telegraph cable laid (nearly 100,000
miles of cable laid worldwide by 1885)
1876:
Invention of the telephone (Bell)
1879:
Invention of the electric light bulb (Edison)
1901:
First wireless telegraph signals sent across the
Atlantic Ocean (Marconi)
Communications systems incorporating microwave and
optical components
1906:
Invention of the vacuum tube
Biomedical applications such as nuclear magnetic resonance
(NMR) devices
1930s: Television and radar
Today, electromagnetics encompasses the generation, storage,
transmission, reception, transformation, and interpretation of electric
and magnetic information and energy, e.g.:
1920s: First commercial radio broadcasts
Direct- and alternating-current machines
High-voltage power distribution systems
Electronic devices and computing systems
1940:
Magnetron
1950:
Transistor
1960:
Laser
1970s: Low-loss fiber optical cables fiber-optic systems
Maxwells equations, which describe physical electromagnetic
phenomena, can be used to obtain solutions to a wide range of
electrical engineering problems.
351B: Introduction
Electromagnetic theory has been an essential ingredient in the
development of nearly every electrical device or system that we
now take for granted!
351B: Introduction
Winter 2015
Electromagnetic theory has been equally important in the
development of many other modern engineering applications:
Semiconductor devices: Electromagnetic (EM) theory and
quantum semiconductor theory key to understanding charges
and currents in semiconductors.
High-speed circuits: Ordinary circuit theory breaks down with
shrinking circuit dimensions and increasing frequency. Particularly true for microwave and high-speed digital circuits.
Antennas: Devices that launch and capture EM energy and
information; EM theory essential to their operation. Recent
advances in wireless communication systems have created the
need for smaller and more efficient antennas.
Electromechanical Machines: Forces that currents and charges
exert on each other are used to design machines and devices
capable of generating forces and torques.
Winter 2015
Bioelectronics: Instruments and systems that measure and
modify various biological functions in humans and other
animals.
Electromagnetic Interference (EMI) & compatibility (EMC):
Unwanted EM radiation from one part of a circuit or system can
cause poor performance in an other part of the circuit or system.
Can often be controlled by using electromagnetic techniques.
Superconductors: Exhibit zero resistance and repel magnetized
objects when cooled below a critical temperature. Recent
discovery of high-temperature superconductors could have
important implications in some engineering applications, e.g.,
power transmission and magnetic levitation.
Electromagnetics is the comprehensive theory of what electricity is,
and how to control it.
Critical to future technological advancements in ECE.
Fiber-optic systems: Fiber-optic transmission now the standard
in many industries. EM theory used to describe light
propagation on the fibers, as well as the operation of the laser
diodes and detectors.
351B: Introduction
" Instructor" generated" course" materials" (e.g.," handouts," notes," summaries," exam"
questions,"etc.)"are"protected"by"law"and"may"not"be"copied"or"distributed"in"any"form"
or"in"any"medium"without"explicit"permission"of"the"instructor.""Note"that"infringements"
of" copyright" can" be" subject" to" follow" up" by" the" University" under" the" Code" of" Student"
Conduct"and"Disciplinary"Procedures.
351B: Introduction
