TORONTO METROPOLITAN UNIVERSITY

Course Outline (W2025)

ELE401: Electric and Magnetic Fields

Instructor(s)Dr. Marco Antoniades [Coordinator]
Office: ENG 453
Phone: (416) 979-5000 x 556097
Email: mantoniades@torontomu.ca
Office Hours: Wednesdays 1:00 - 2:00 pm by email
Calendar DescriptionReview of vector analysis and coordinate systems. Coulomb's law and electric field intensity. Gauss's law and electric flux density. The electric potential and potential gradient. Electric fields in material space. Poisson's and Laplace's equations. Capacitance. Biot-Savart's Law and magnetic field intensity. Ampere's circuital law and the magnetic flux density. Magnetic forces. Self and mutual inductances. Time-varying fields and Maxwell's equations.
PrerequisitesMTH 312
Antirequisites

None

Corerequisites

None

Compulsory Text(s):
  1. F.T. Ulaby and U. Ravaioli, Fundamentals of Applied Electromagnetics, 8th ed, Pearson, 2020.
  2. M.N.O. Sadiku, Elements of Electromagnetics, 7 th edition, Oxford University Press, 2018.
Reference Text(s):
  1. W.H. Hayt and J.A. Buck, Engineering Electromagnetics, 8th ed, McGraw-Hill, 2012.
  2. D.K. Cheng, Fundamentals of Engineering Electromagnetics, Addison-Wesley, 1993.
  3. J.A. Edminister, Theory and Problems of Electromagnetics, 2nd edition, Schaum's Outline Series, McGraw-Hill, 1993.
Learning Objectives (Indicators)  

At the end of this course, the successful student will be able to:

  1. Demonstrate an in-depth understanding of the physical laws of electricity and magnetism, such as Coulombs law, Gausss laws, Biot-Savarts law, Amperes law, and Faradays law. Apply the laws of electricity and magnetism to realistic engineering problems. (1a)
  2. Apply vector calculus to analyze engineering problems involving electric and magnetic fields and their sources, charges and currents. Identify and use appropriate coordinate systems (rectangular, cylindrical or spherical), based on given geometries. (1b)
  3. Identify and apply appropriate electricity and magnetism concepts to solve for relevant field quantities (electric and magnetic fields), terminal quantities (voltages and currents), or electrical engineering parameters (resistance, capacitance or inductance) of different structures. Demonstrate how the interaction of electric and magnetic fields with different media can lead to changes in the properties of materials, including polarization in dielectrics and magnetization in magnetic materials. (1c)
  4. Given a set of written instructions, illustrate concepts in graphical form. Apply understanding of field principles to provide scalar or vectorial representations of quantities. (7a)

NOTE:Numbers in parentheses refer to the graduate attributes required by the Canadian Engineering Accreditation Board (CEAB).

Course Organization

4.0 hours of lecture per week for 13 weeks
2.0 hours of tutorial per week for 12 weeks

Teaching AssistantsNickolas Papoutsis (nickolas.papoutsis@torontomu.ca)
 Mahdi Tahmasebi (mtahmasebi@torontomu.ca)
 Chaitanya Sinha (csinha@torontomu.ca)
Course Evaluation
Quizzes 15 %
Midterm Exam 35 %
Final Exam 50 %
TOTAL:100 %

Note: In order for a student to pass a course, a minimum overall course mark of 50% must be obtained. In addition, for courses that have both "Theory and Laboratory" components, the student must pass the Laboratory and Theory portions separately by achieving a minimum of 50% in the combined Laboratory components and 50% in the combined Theory components. Please refer to the "Course Evaluation" section above for details on the Theory and Laboratory components (if applicable).


ExaminationsNOTE: This course has only Theory components. Therefore, to pass the course, a student must simply obtain a minimum overall mark of 50%.
 
 All quizzes and exams will be carried out in person.
 
 Quizzes: Three (3) quizzes, each worth 5%, will be conducted. The dates for the quizzes will be posted on D2L. Each will have a 30 minute duration.
 
 Mid-Term Exam: Conducted in Week 8, covers the material from Weeks 1-7. One and a half (1.5) hour duration.
 
 Final Exam: Conducted during the final exam period, covers all the material from Weeks 1-13. Three (3) hour duration.
Other Evaluation InformationNone
Teaching Methods1. Lectures will be delivered synchronously (i.e. for all students at the same time) during thescheduled class hours in person, and via Zoom if possible.
 2. Notes/slides from the class lectures will be posted on D2L.
 3. Lecture recordings will also be posted on D2L.
 
 
Other InformationNone

Course Content

Week

Hours

Chapters /
Section

Topic, description

1

2

1.1 to 1.6

* Chapter sections refer to Ulaby's book unless otherwise noted *
 
 Introduction to Electromagnetism


1-2

4

3-1 to 3-7

Review of Vector Analysis


2-7

22

4-1 to 4-11

Electrostatics
 
 Maxwell's equations
 Charge and current distributions
 Coulomb's law
 Gauss's law
 Electric scalar potential
 Conductors
 Dielectrics
 Electric boundary conditions
 Capacitance
 Electrostatic potential energy
 Image method
 


8

4

Electrostatic Boundary-Value Problems
 (Sadiku, sections 6.2 to 6.4)
 
 Poisson's and Laplace's equations
 Uniqueness theorem
 Solutions of Poisson's and Laplace's equations
 


9-12

14

5-1 to 5-8

Magnetostatics
 
 Magnetic forces and torques
 The Biot-Savart law
 Gauss's law for magnetism
 Ampere's law
 Vector magnetic potential
 Magnetic properties of materials
 Magnetic boundary conditions
 Inductance
 Magnetic energy
 


12-13

6

6-1 to 6-7

Maxwell's equations and time-varying fields
 
 Faraday's law
 Stationary loop in a time-varying magnetic field
 The ideal transformer
 Moving conductor in a static magnetic field
 The electromagnetic generator
 Moving conductor in a time-varying magnetic field
 Displacement current
 


University Policies & Important Information

Students are reminded that they are required to adhere to all relevant university policies found in their online course shell in D2L and/or on the Senate website

Refer to the Departmental FAQ page for furhter information on common questions.

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