Fundamental aspects of electromagnetic fields

Degree competences (all transversal):

G001. Learn to pose and solve problems correctly.

G005. Be able to organize, plan and learn autonomously.

G006. Be able to analyze, synthesize and reason critically.

G008. Be able to present ideas, problems and scientific results orally and in writing.



Competences of the Basic Concepts module (all generic):

CM01. Acquire the necessary knowledge to clearly understand the basic principles of Classical Physics, Chemistry and Electronics and their applications.

CM02. Approach correctly and solve problems involving the main concepts of Classical Physics, Chemistry and Electronics and their applications.

CM03. Document and raise in an organized manner subjects related to the subjects of the Module to strengthen or expand knowledge and to discern between the important and the accessory.

CM04. Present written and oral problems and questions about Classical Physics, Chemistry and Electronics, to develop skills in scientific communication.

1. Introduction to Electromagnetism

Electromagnetic interaction, E and B fields. Maxwell´s equations in differential form. Review of vector analysis.



2. Vacuum electrostatics

Electrostatic field and potential. Gauss' theorem. Poisson's and Laplace equations.



3. Dielectric electrostatics.

Dipolar moments of atoms and molecules, polarization. Gauss' law in a dielectric medium. Displacement vector field. Electric susceptibility and permittivity. Energy density of the electrostatic field.



4. Electric current.

Continuity equation. Ohm's law. Electromotive force. Electrostatic equilibration in conductors.



5. Magnetic field of stationary currents.

The magnetic field, B. The Biot-Savart law, Ampère's circuit law. Vector potential. Magnetic moment.



6. Magnetic field in matter.

Magnetization, magnetization current. Ampère's law in matter. The H vector field. Boundary conditions for magnetic vectors.



7. Electromagnetic induction and magnetic energy.

Electromagnetic induction. Faraday's law. Energy density of the magnetic field.



8. Maxwell's equations and electromagnetic waves.

Generalising Ampère's law: displacement current. Maxwell's equations and electromagnetic wave equation. Energy of the electromagnetic field. Poynting's vector.

Lectures on theoretical aspects, and example sessions.

• Final Assessment System
• Tools and qualification percentages:
  • Written test to be taken (%): 100

Not taking the ordinary call (convocatoria ordinaria) exam equals giving up the call (renuncia a la convocatoria).

If the public health situation warrants it, the paper will be given telematically. In that case an oral exposition/defence might be part of the exam.

Not taking the extrordinary call exam equals giving up the call.



If the public health situation warrants it, the paper will be given telematically. In that case an oral exposition/defence might be part of the exam.

Basic bibliography

- Foundations of Electromagnetic Theory, John R. Reitz, Frederick J. Milford, Robert W. Christy, Addison-Wesley, 2008.

- Introduction to Electrodynamics, David J. Griffiths, Cambridge University Press, 2017.

In-depth bibliography

1) R. Feynman, D.R. Leighton y M. Sands. FISICA (vol II), Fondo Educativo Interamericano, Bogotá (1972)
2) E.M. Purcell. BERKELEY PHYSICS COURSE (Vol 2: Electricidad y Magnetismo) , Reverté, Barcelona (1994)

Web addresses

http://www.sc.ehu.es/sbweb/ocw-fisica/elecmagnet/elecmagnet.xhtml
http://academicearth.org/courses/physics-ii-electricity-and-magnetism
http://ocw.mit.edu/OcwWeb/Physics/8-02Electricity-and-MagnetismSpring2002/CourseHome/