Course Outline (F2019)

ELE531: Electromagnetics

Instructor(s)Ali Hussein [Coordinator]
Office: ENG332
Phone: (416) 979-5000 x 6108
Email: ahussein@ee.ryerson.ca
Office Hours:
Calendar DescriptionTime-varying fields and Maxwell's equations, boundary conditions, retarded potentials. The wave equation. The uniform plane wave, wave polarization, wave reflection. Transmission lines, Smith chart. Rectangular waveguides. Radiation from short dipoles, half- and quarter-wavelength antennas, the radiation resistance. Basic microwave measurements.
PrerequisitesELE 401 and CEN 199




Compulsory Text(s):
  1. M.N.O. Sadiku, Elements of Electromagnetics, 7th edition, Oxford University Press, 2018.
  2. Microwave Technology, vol. 1, Lab-Volt (Quebec) Ltd., 2010 or later printing.
Reference Text(s):
  1. W.H. Hayt, Engineering Electromagnetics, 8th ed, McGraw-Hill, 2012.
  2. D.K. Cheng, Fundamentals of Engineering Electromagnetics, Addison-Wesley, 1993.
  3. R.E. Collin, Field Theory of Guided Waves, 2nd edition, IEEE Press, 1991.
  4. E.C. Jordan and K.G. Balmain, Electomagnetic Waves and Radiating Systems, 2nd edition, Prentice-Hall, 1968.
  5. 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 application to engineering problems. (1a)
  2. Applies mathematical principles, skills, and tools to solve engineering problems, highlighting limitations or a range of applications. (1b)
  3. Demonstrates and applies core engineering principles and concepts to solve engineering problems. (1c)
  4. Develops further knowledge of uses of modern instrumentation, data collection techniques, and equipment to conduct experiments and obtain valid data. (5a)

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
1.0 hours of lab/tutorial per week for 12 weeks

Teaching AssistantsTBA
Course Evaluation
Midterm test 30 %
Lab Exam 7 %
Final Exam 50 %
Labs 13 %
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.

ExaminationsMidterm test is 1.5-hour, closed-book test. It covers lecture materials up to the week preceding the mid-term test. The final exam, which includes a written lab exam, is a 2.5-hour closed-book. The final exam is designed to comprehensively cover the course material.
Other Evaluation InformationTo achieve a passing grade, student must pass both the theory and laboratory components.
Other InformationNone

Course Content



Chapters /

Topic, description



Time-Varying Fields and Maxwell's Equations
 1.1 Electromagnetostatic Field (Review)
     - Coulomb's law and Gauss's Law
     - The Electric potential
     - Poisson's and Laplace's Equations
     - Biot-Savart's Law and Ampere's Circuital Law
     - Magnetic Vector Potential and Vector Poisson's Equation
     - Time invariant Maxwell's Equations
 1.2 Faraday's Law (Review)
 1.3 The Displacement Current (Review)
 1.4 Maxwell's Equations in Point Form
 1.5 Maxwell's Equations in Integral Form
 1.6 Maxwell's Equations in the Frequency Domain
 1.7 Boundary Conditions for time-varying fields
 1.8 Retarded Potentials



The Uniform Plane Wave
 2.1 The Wave Equation
 2.2 Plane Waves in Perfect Dielectrics
 2.3 Plane Waves in Lossy Dielectrics
 2.4 Poynting Vector
 2.5 Plane Waves in Good Conductors (Skin Effect)
 2.6 Reflections of Plane Waves at Interfaces
 2.7 Standing Wave Ratio (SWR) and Input Impedance



Transmission Lines
 3.1 Transmission-Line Equations
 3.2 Input Impedance SWR and Power
 3.3 The Smith Chart
 3.4 Some Applications of Transmission Lines



 4.1 Rectangular Waveguides
 4.2 Transverse Magnetic (TM) Modes
 4.3 Transverse Electric (TE) Modes
 4.4 Wave Propagation in the Guide



Antennas and Radiation
 5.1 Radiation from Infinitesimal Current Elements
 5.2 The Half-Wave Dipole Antenna
 5.3 The Quarter-Wave Monopole Antenna



Catching up and Review

Laboratory/Tutorials/Activity Schedule






Basic Microwave Measurements 2-hour Lab every other weeek


Lab 1

Familiarization with Microwave Equipment and Power Measurement.


Lab 2

Calibration of Variable Attenuators and Attenuation Measurement


Lab 3

Standing Waves and Directional Coupler


Lab 4

Reflection Coefficient and SWR Measurement

10 12

Lab 5

Impedance Measurement

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.