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Electromagnetism

Code: 107616
Credits: 6
2026/2027
Degree programme Type Course
Physics OB 2

Contact lecturer

Name :
Carles Navau Ros
Email :
carles.navau@uab.cat

Teaching staff

Joan Reverté Flores
Nuria Valle Benedi
Jaume Cunill Subiranas

Group languages

You can consult this information at the end of the document.

Prerequisites

It is extremely advantageous to have passed the first-year Electricity and Magnetism course. Without a solid foundation in this subject, enrolling in this course is not recommended. In addition, it is highly recommended to have passed the Vector and Multivariable Calculus course, as it covers the mathematical background required for this course. The knowledge and skills from both of these courses are assumed from the beginning of the semester.

Objectives

To understand and apply the fundamental concepts of electrostatics and magnetostatics, as well as the basic laws governing electric and magnetic fields.


To formulate and solve electromagnetism problems using vector calculus techniques, employing both analytical methods and appropriate approximations when necessary.


To understand Maxwell's equations as the unified framework of classical electromagnetism and interpret their physical meaning in a variety of situations.


To analyze the electromagnetic fields in vacuum and in material media, identifying their main properties and physical implications.


To develop the ability to relate theoretical models of electromagnetism to real physical systems, assessing the validity of the approximations used and critically interpreting the results obtained.

Learning outcomes

  • CM13 (Solve complex problems of an electromagnetic nature by establishing hypotheses which, although approximate, contain the essence of the physics of the original problem.) Solve complex problems of an electromagnetic nature by establishing hypotheses which, although approximate, contain the essence of the physics of the original problem.
  • CM14 (Formulate the key parameters and magnitudes associated with the understanding of electromagnetic phenomena.) Formulate the key parameters and magnitudes associated with the understanding of electromagnetic phenomena.
  • KM15 (Identify the electromagnetic origin of natural phenomena that have it.) Identify the electromagnetic origin of natural phenomena that have it.
  • KM16 (Identify Maxwell's laws, and the implications that derive from them.) Identify Maxwell's laws, and the implications that derive from them.
  • KM17 (Describe electromagnetic radiation and, in general, electromagnetic phenomena in relation to the concepts of relativity.) Describe electromagnetic radiation and, in general, electromagnetic phenomena in relation to the concepts of relativity.
  • SM12 (Solve problems of electromagnetic phenomena mathematically, either in a vacuum or considering materials.) Solve problems of electromagnetic phenomena mathematically, either in a vacuum or considering materials.
  • SM13 (Use mathematics in describing the electromagnetic world, selecting appropriate tools, building appropriate models, interpreting results, and critically comparing with experimentation and observation.) Use mathematics in describing the electromagnetic world, selecting appropriate tools, building appropriate models, interpreting results, and critically comparing with experimentation and observation.

Contents

  • Maxwell's Equations in Vacuum
  • Integral versus differential formulation.
  • Charge conservation and the continuity equation.
  • Lorentz force.
  • Electromagnetism without Time Dependence
  • Electrostatics. Electrostatic potential. Poisson's and Laplace's equations. Ideal conductors. Method of images.
  • Magnetostatics. Vector potential.
  • Electromagnetism in Matter
  • Multipole expansion of the potentials.
  • Electric and magnetic dipoles. Forces and torques acting on dipoles.
  • Conductors, dielectrics, and magnetic materials.
  • Macroscopic Theory
  • Polarization and magnetization.
  • Electric displacement D and magnetic field H.
  • Fields inside and outside a material medium.
  • Constitutive equations. Susceptibility, permittivity, permeability, and conductivity.
  • Microscopic Theory of Matter
  • Maxwell's equations in matter. Boundary conditions.
  • Electromagnetic Energy and Momentum
  • Electromagnetic energy.
  • Time-independent limit. Electrostatic energy.
  • Slowly varying time-dependent limit. Inductance and magnetic energy.
  • Poynting's theorem. Conservation of electromagnetic energy.
  • Electromagnetic linear momentum. Maxwell stress tensor. Conservation of momentum.
  • Wave Equations and Their Solutions
  • Potential equations. Gauge transformations (gauge conditions).
  • Retarded potentials.
  • Liénard–Wiechert potentials.


Learning activities and methodology

Title Hours ECTS Learning outcomes
Personal Study 94 3.76 CM13, CM14, KM15, KM16, KM17, SM12, SM13
Problems 14 0.56 CM14, SM12, SM13
Theory classes 28 1.12 CM14, KM15, KM16, KM17, SM13
Seminars 8 0.32 CM13, SM12, SM13

Theory: Explanation by the teaching staff of the basic contents, using the recommended bibliography and their own teaching resources. In-depth explanation of the most important concepts, using examples, experimental evidence and, when necessary, original research works.


Problems: Solution of some basic problems/examples previously provided to the students.


Seminars: Team-based resolution of more complex problems. The consideration of several concepts within a single problem will constitute the additional difficulty.


Note: 15 minutes of one class session, within the schedule established by the centre/degree programme, will be reserved for students to complete the evaluation surveys of the teaching staff performance and of the course.

Annotation: within the schedule set by the centre or degree programme, 15 minutes of one class will be reserved for students to evaluate their lecturers and their courses or modules through questionnaires.

Assessment

Continuous assessment activities

Title Weight Hours ECTS Learning outcomes
Partial Exam 1 42.5 % 3 0.12 CM13, CM14, KM15, KM16, KM17, SM12, SM13
Partial Exam 2 42.5 % 3 0.12 CM13, CM14, KM15, KM16, KM17, SM12, SM13
Evaluatory seminars 15 % 0 0 CM13, SM12, SM13

Seminar Assessment

Problems solved during the assessed seminar sessions will be evaluated, taking into account both the quality of the solutions and each student's individual participation in the overall problem-solving process. Seminar mark: S (out of 10).


Midterm Assessments 1 and 2

Each midterm consists of theoretical questions and written problem-solving covering the material taught up to the date of the corresponding examination. Theoretical knowledge may be assessed either through explicit questions or as part of specific problems. Midterm marks: P1 and P2 (each out of 10). To pass the course, a minimum mark of 4.0/10 must be obtained in each midterm examination, both during the regular assessment period and after the resit examination (see details below).


Final Course Grade


  • If P1 ≥ 4.0 and P2 ≥ 4.0, the final grade is: N = S × 0.15 + 0.5 × (P1 + P2) × 0.85.The course is passed if N ≥ 4.9.
  • If P1 < 4.0 or P2 < 4.0, the student must take the corresponding resit examination(s) in order to pass the course.


Resit Assessment

  • To be eligible for the resit examination, students must have been assessed in at least one of the midterm examinations (UAB Academic Regulations).
  • Seminar assessments cannot be retaken.
  • Each midterm may be retaken independently. The resit grade(s), R1 (first midterm) and/or R2 (second midterm), replace(s) the corresponding grade(s) P1 and/or P2. Hence, for each resat examination, Px = Rx (where x = 1 and/or 2).

If P1 ≥ 4.0 and P2 ≥ 4.0, the final grade is: N = min(6.5, S × 0.15 + 0.5 × (P1 + P2) × 0.85). The course is passed if N ≥ 4.9.

If P1 < 4.0 or P2 < 4.0, the final grade is: N = min(4.0, S × 0.15 + 0.5 × (P1 + P2) × 0.85). In this case, the course is not passed.

  • All resit examinations will take place on the same day, namely the official resit examination date.


Single Assessment

Students opting for the single-assessment system must sit two examinations, corresponding to Midterms 1 and 2, on the date scheduled for Midterm 2. On the same day, they must also submit written solutions to a set of problems whose statements will be provided in advance. The same resit procedure described above applies to students following the single-assessment system.


Use of Artificial Intelligence (Restricted)

For this course, the use of Artificial Intelligence (AI) technologies is permitted only for support purposes, such as preparing course material in advance, deepening the understanding of concepts covered in class (although the recommended bibliography should be the primary reference), resolving theoretical or practical questions (students are strongly encouraged to attend office hours with the teaching staff for this purpose), translating texts, or carrying out other support tasks.

The use of AI is not permitted under any circumstances in assessment activities. Any assessed work containing AI-generated content will be considered a breach of academic integrity and may result in a partial or total reduction of the mark for that assessment, or more severe disciplinary sanctions in serious cases.


Plagiarism, Cheating, and Misuse of AI

Any irregularity committed by a student that may lead to a significant alteration of the assessment of an examination or other assessment activity will result in a mark of 0 for that activity, without prejudice to any disciplinary proceedings that may be initiated (UAB Academic Regulations). If multiple irregularities are committed in assessment activities for the same course, the final grade for the course will be 0.

Irregularities leading to a significant alteration of the assessment include, but are not limited to, total or partial plagiarism, copying, attempted copying, allowing another student to copy, bringing unauthorized electronic devices to an assessment, or any similar misconduct in any assessed activity.

Bibliography

Theory

  1. J. Costa Quintana y F. López Aguilar, Interacción electromagnética. Teoría clásica, (Reverté 2007). ISBN: 978-84-291-3058-4.
  2. D.J. Griffiths, Introduction to Electrodynamics, Fourth Edition, (Cambridge, 2017). ISBN: 978-1-108-42041-9.
  3. P. Lorrain y D.R. Corson, Campos y Ondas Electromagnéticos (Selecciones Científicas, 1990). ISBN: 84-85021-29-0
  4. J. R. Reitz, F. J. Milford, y R. W. Christy, Fundamentos de la Teoría Electromagnética, (Addison-Wesley Iberoamericana, 1996). ISBN: 0-201-62592-X
  5. R. K. Wangsness, Electromagnetic fields, (John Wiley & Sons, 1986, 2nd edition) ISBN: 0-471-81186-6; Campos electromagnéticos, (Limusa, 1989).ISBN: 968-18-1316-2.
  6. J. D. Jackson, Classical Electrodynamics, (John Wiley & Sons, 1975, 2nd edition) ISBN: 0-471-43132-X

Problems

  1. E. Benito; Problemas de campos electromagnéticos, (AC, 1984) ISBN: 84-7288-007-9
  2. J.A. Edminister; Electromagnetismo (McGraw-Hill, 1992). ISBN: 970-10-0256-3
  3. J.M. De Juana Sardón y M.A. Herrero García; Electromagnetismo (Paraninfo 1993) ISBN: 84-283-1992-8
  4. E. López Pérez y F. Núñez Cubero; 100 problemas de electromagnetismo, (AlianzaEditorial, 1997) ISBN: 84-206


Software

None required.

Course groups and languages

The information provided is provisional until November 30. After this date, you will be able to consult the language of each group through this link. To access the information, you will need to enter the course CODE

Type of teaching Group Language Semester Shift
(TE) Theory 1 Catalan first semester morning-mixed
(PAUL) Classroom practices 1 Catalan first semester morning-mixed
(TE) Theory 2 Catalan first semester morning-mixed
(PAUL) Classroom practices 2 Catalan first semester morning-mixed
(SEM) Seminars 11 Catalan first semester morning-mixed
(SEM) Seminars 12 Catalan first semester morning-mixed
(SEM) Seminars 21 Catalan first semester morning-mixed
(SEM) Seminars 22 Catalan first semester morning-mixed