Course Outline (W2020)

ELE401: Field Theory

Instructor(s)Marco Antoniades [Coordinator]
Office: ENG 453
Phone: (416) 979-5000 x 556097
Email: mantoniades@ryerson.ca
Office Hours: Thursdays 1 - 3 pm

Ali Hussein
Office: ENG332
Phone: (416) 979-5000 x 6108
Email: ahussein@ee.ryerson.ca
Office Hours:

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




Compulsory Text(s):
  1. 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. Develops further knowledge of science in support of applications to engineering problems. (1a)
  2. Applies mathematical principles, skills, and tools to solve engineering problems, highlighting limitations or a range of applications. Applies appropriate mathematics principles to evaluate expressions, find and test potential solutions. (1b)
  3. Demonstrates and applies core engineering principles and concepts to solve engineering problems. (1c)
  4. Illustrates concepts in graphical form. (7b)

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 lab/tutorial per week for 12 weeks

Teaching AssistantsAmir Moslemi, amir.moslemi@ryerson.ca
 Ishmeen Sra, ishmeen.sra@ryerson.ca
 Tharmini Thavaratnam, tharmini.thavaratnam@ryerson.ca
Course Evaluation
Quizzes 15 %
Midterm Exam 35 %
Final Exam 50 %
TOTAL:100 %

Note: In order for a student to pass a course with "Theory and Laboratory" components, in addition to earning a minimum overall course mark of 50%, 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 for details on the Theory and Laboratory components.

ExaminationsQuizzes: Three (3) quizzes, each worth 5%, will be conducted during the tutorials. The details will be announced on D2L. Closed book, 30 minutes each.
 Mid-Term Exam: Conducted in Week 8 during class, covers the material from Weeks 1-7. Closed book, 1.5 hrs duration.
 Final Exam: Conducted during the final exam period, covers all the material from Weeks 1-13. Closed book, 2.5 hrs duration.
Other Evaluation InformationNone
Other InformationNone

Course Content



Chapters /

Topic, description




Review of Vector Analysis and Coordinate Systems




Electrostatic Field
  2.1 Coulomb's law and electric field intensity
  2.2 Electric fields due to continuous charge distributions
  2.3 Electric flux density and Gauss's law
  2.4 Applications of Gauss's law
  2.5 Point form of Gauss's law
  2.6 Electric potential and potential gradient
  2.7 Electric dipole
  2.8 Energy stored in the electric field




Electric Field in Material Space
  3.1 Current and current density
  3.2 Convection and conduction currents
  3.3 Resistance and power loss
  3.4 Polarization in dielectrics
  3.5 Dielectric constant and strength
  3.6 Continuity equation and relaxation time
  3.7 Electric field boundary conditions




Electrostatic Boundary-Value Problems
  4.1 Poisson's and Laplace's equations
  4.2 Uniqueness theorem
  4.3 Solutions of Poisson's and Laplace's equations
  4.4 Capacitance
  4.5 Method of images




Magnetic Field
  5.1 Biot-Savart law and magnetic field intensity
  5.2 Ampere's circuital law
  5.3 Applications of Ampere's circuital law
  5.4 Point form of Ampere's circuital law
  5.5 Magnetic flux density




Magnetic Forces and Materials
  6.1 Forces due to magnetic fields
  6.2 Magnetic torque and moment
  6.3 Magnetization in materials
  6.4 Magnetic field boundary conditions
  6.5 Energy stored in the magnetic field
  6.6 Self and mutual inductances




Time-Varying Fields and Maxwell's Equations
  7.1 Faraday's law
  7.2 Displacement current
  7.3 Maxwell's equations

Laboratory/Tutorials/Activity Schedule






Additional problems will be solved during the tutorial sessions for the material presented in the week prior. The Tutorial Assistants will also answer questions relating to this material.

Policies & Important Information:

  1. Students are required to obtain and maintain a Ryerson e-mail account for timely communications between the instructor and the students;
  2. Any changes in the course outline, test dates, marking or evaluation will be discussed in class prior to being implemented;
  3. Assignments, projects, reports and other deadline-bound course assessment components handed in past the due date will receive a mark of ZERO, unless otherwise stated. Marking information will be made available at the time when such course assessment components are announced.
  4. Refer to our Departmental FAQ page for information on common questions and issues at the following link: https://www.ee.ryerson.ca/guides/Student.Academic.FAQ.html.

Missed Classes and/or Evaluations

When possible, students are required to inform their instructors of any situation which arises during the semester which may have an adverse effect upon their academic performance, and must request any consideration and accommodation according to the relevant policies as far in advance as possible. Failure to do so may jeopardize any academic appeals.

  1. Health certificates - If a student misses the deadline for submitting an assignment, or the date of an exam or other evaluation component for health reasons, they should notify their instructor as soon as possible, and submit a Ryerson Student Health Certificate AND an Academic Consideration Request form within 3 working days of the missed date. Both documents are available at https://www.ryerson.ca/senate/forms/medical.pdf.. If you are a full-time or part-time degree student, then you submit your forms to your own program department or school;
  2. Religious, Aboriginal and Spiritual observance - If a student needs accommodation because of religious, Aboriginal or spiritual observance, they must submit a Request for Accommodation of Student Religious, Aboriginal and Spiritual Observance AND an Academic Consideration Request form within the first 2 weeks of the class or, for a final examination, within 2 weeks of the posting of the examination schedule. If the requested absence occurs within the first 2 weeks of classes, or the dates are not known well in advance as they are linked to other conditions, these forms should be submitted with as much lead time as possible in advance of the absence. Both documents are available at www.ryerson.ca/senate/forms/relobservforminstr.pdf. If you are a full-time or part-time degree student, then you submit the forms to your own program department or school;
  3. Academic Accommodation Support - Before the first graded work is due, students registered with the Academic Accommodation Support office (AAS - www.ryerson.ca/studentlearningsupport/academic-accommodation-support) should provide their instructors with an Academic Accommodation letter that describes their academic accommodation plan.

Academic Integrity

Ryerson's Policy 60 (the Academic Integrity policy) applies to all students at the University. Forms of academic misconduct include plagiarism, cheating, supplying false information to the University, and other acts. The most common form of academic misconduct is plagiarism - a serious academic offence, with potentially severe penalties and other consequences. It is expected, therefore, that all examinations and work submitted for evaluation and course credit will be the product of each student's individual effort (or an authorized group of students). Submitting the same work for credit to more than one course, without instructor approval, can also be considered a form of plagiarism.

Suspicions of academic misconduct may be referred to the Academic Integrity Office (AIO). Students who are found to have committed academic misconduct will have a Disciplinary Notation (DN) placed on their academic record (not on their transcript) and will normally be assigned one or more of the following penalties:

  1. A grade reduction for the work, ranging up to an including a zero on the work (minimum penalty for graduate work is a zero on the work);
  2. A grade reduction in the course greater than a zero on the work. (Note that this penalty can only be applied to course components worth 10% or less, and any additional penalty cannot exceed 10% of the final course grade. Students must be given prior notice that such a penalty will be assigned (e.g. in the course outline or on the assignment handout);
  3. An F in the course;
  4. More serious penalties up to and including expulsion from the University.

The unauthorized use of intellectual property of others, including your professor, for distribution, sale, or profit is expressly prohibited, in accordance with Policy 60 (Sections 2.8 and 2.10). Intellectual property includes, but is not limited to:

  1. Slides
  2. Lecture notes
  3. Presentation materials used in and outside of class
  4. Lab manuals
  5. Course packs
  6. Exams

For more detailed information on these issues, please refer to the Academic Integrity policy(https://www.ryerson.ca/senate/policies/pol60.pdf) and to the Academic Integrity Office website (https://www.ryerson.ca/academicintegrity/).

Important Resources Available at Ryerson

  1. The Library (https://library.ryerson.ca/) provides research workshops and individual assistance. Inquire at the Reference Desk on the second floor of the library, or go to library.ryerson.ca/guides/workshops
  2. Student Learning Support(https://www.ryerson.ca/studentlearningsupport) offers group-based and individual help with writing, math, study skills and transition support, and other issues.