Electromagnetism
Code: 100149 ECTS Credits: 10| Degree | Type | Year | Semester |
|---|---|---|---|
| 2500097 Physics | OB | 2 | A |
Contact
- Name:
- Joan Costa Quintana
- Email:
- joan.costa@uab.cat
Use of Languages
- Principal working language:
- catalan (cat)
- Some groups entirely in English:
- No
- Some groups entirely in Catalan:
- Yes
- Some groups entirely in Spanish:
- No
Teachers
- Natanael Jose Bort Soldevila
- Nuria del del Valle Benedí
Prerequisites
It is advisable to have passed the subject Electricity and Magnetism of the first course of Physics.
Objectives and Contextualisation
Have a basic knowledge of the electromagnetic field, from electrostatics and magnetostatics (in vacuum and in material media) to electromagnetic induction and Maxwell's equations.
To be able to calculate various solutions of Maxwell's equations, including electromagnetic waves and their propagation.
Competences
- Develop strategies for analysis, synthesis and communication that allow the concepts of physics to be transmitted in educational and dissemination-based contexts
- Formulate and address physical problems identifying the most relevant principles and using approximations, if necessary, to reach a solution that must be presented, specifying assumptions and approximations
- Know the fundamentals of the main areas of physics and understand them
- Make changes to methods and processes in the area of knowledge in order to provide innovative responses to society's needs and demands.
- Use critical reasoning, show analytical skills, correctly use technical language and develop logical arguments
- Use mathematics to describe the physical world, selecting appropriate tools, building appropriate models, interpreting and comparing results critically with experimentation and observation
- Work independently, have personal initiative and self-organisational skills in achieving results, in planning and in executing a project
Learning Outcomes
- Correctly handle vector calculus.
- Describe electrostatic phenomena.
- Describe magnetostatic phenomena.
- Describe phenomena that involve time-dependent electromagnetic processes.
- Formulate and solve mathematical problems concerning electrostatic phenomena.
- Formulate and solve mathematical problems on electromagnetic phenomena that involve time-dependent processes.
- Identify situations in which a change or improvement is needed.
- Solve complex problems of an electromagnetic nature from the establishment of hypotheses that, even being approximate, contain the essence of physics in the original problem.
- Translate specific physical problems of electromagnetic nature to a mathematical formulation that allows subsequent resolution, either exact or approximate.
- Transmit, orally and in written format, physical concepts of a certain complexity, making them understandable to non-specialist settings.
- Use critical reasoning, show analytical skills, correctly use technical language and develop logical arguments
- Work independently, take initiative itself, be able to organize to achieve results and to plan and execute a project.
Content
1. Vector analysis
Vector algebra.- Gradient.- Divergence.- Theorem of divergence.- Curl.- Stokes theorem.- Helmholtz theorem.- Curvilinear coordinates: gradient, divergence and curl.
2. Electrostatics
Electrical charge and Coulomb law.- Electric field: divergence and curl.- Electrical potential: Poisson and Laplace equations.- Systems of conductors: capacitors.- Energy of a distribution of charges.- Energy of a system of charged conductors .
3. Electrostatics in dielectrics
Multipolar development.- Electric dipole.- Field created by a dielectric.- Vector displacement.- Electrical susceptibility and dielectric constant.- Boundary conditions.- Energy dependence on the field.
4. Magnetostatics
Electric current: Ohm's law.- Continuity equation.- Magnetic induction: Biot and Savart's law.- Force between circuits.- Lorentz force.- Curl of B: Ampere's theorem- Divergence of B.- Potential vector.
5. Magnetism in media
Multipolar development.- Magnetic dipole.- Field created by a magnetic material.- Magnetic strength H.- Types of magnetic materials.- Boundary conditions.
6. Fields slowly varying
Electromagnetic induction: Faraday's law.- Applications. - Differential expression.- Mutual inductance and selfinductance.- Magnetic energy of coupledcircuits.- Energy based on the field.
7. Electromagnetic fields
Displacement current.- Maxwell's equations.- Boundary conditions.- Scalar potential and vector potential.- Wave equations for V and A.- Retarded potentials.- Electromagnetic energy.
8. Electromagnetic waves
Wave equation for the electromagnetic fields.- Plane wave in a dielectric.- Electromagnetic spectrum.- Plane wave in a conductor.- Wave guides.
Methodology
Classes of theory and problems.
In addition, the students will have to do practical exercises in the form of independent problems.
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.
Activities
| Title | Hours | ECTS | Learning Outcomes |
|---|---|---|---|
| Type: Directed | |||
| Problems and practical cases | 28 | 1.12 | 2, 3, 4, 5, 6, 1, 11, 8, 9 |
| Theory classes | 54.75 | 2.19 | 2, 3, 4, 5, 6, 1, 11, 9 |
| Type: Supervised | |||
| UAB institutional surveys | 0.25 | 0.01 | 7 |
| Type: Autonomous | |||
| Study and solution of problems and practical cases | 154.5 | 6.18 | 2, 3, 4, 5, 6, 1, 11, 8, 9, 10 |
Assessment
Theory: Tests of short duration, after the first 7 chapters to know and understand the fundamentals of electromagnetism.
Practice: Problems made individually.
Some first problems will be done towards the end of the first semester (probably the day of the exam planned by Coordination).
Problems will also be done towards the end of the second semester.
In addition, there will be delivery of problems during the course.
Written exam in June.
Recovery exam: There will be a written synthesis exam, of the whole subject with a maximum of 10 points.
The student may be admitted to the recovery exam whenever he/she has been submitted to a set of activities that represent a minimum of two thirds of the total grade of the subject.
For repeating students, from the second enrollment,they can take the recovery exam without the above requirement.
All the tests will have to be done in the group where the student is enrolled.
Assessment Activities
| Title | Weighting | Hours | ECTS | Learning Outcomes |
|---|---|---|---|---|
| Brief exams after the first 7 chapters | 40% | 2 | 0.08 | 2, 3, 4, 5, 6, 1, 11, 8, 9, 10 |
| Delivery of problems during the course | 6% | 2.5 | 0.1 | 2, 3, 4, 5, 1, 11, 8, 9 |
| Exams recovery | up to 100% | 3 | 0.12 | 2, 3, 4, 5, 6, 7, 1, 11, 8, 9, 10, 12 |
| Individual problems | 20% | 2 | 0.08 | 2, 3, 4, 5, 6, 1, 11, 8, 9 |
| Written exam in June | 34% | 3 | 0.12 | 2, 3, 4, 5, 6, 7, 1, 11, 8, 9, 12 |
Bibliography
Theory books
- J. Costa Quintana y F. López Aguilar, Interacción electromagnética. Teoría clásica, (Reverté 2007). ISBN: 978-84-291-3058-4.
- D.J. Griffiths, Introduction to Electrodynamics, Fourth Edition, (Cambridge, 2017). ISBN: 978-1-108-42041-9.
- P. Lorrain y D.R. Corson, Campos y Ondas Electromagnéticos (Selecciones Científicas, 1990). ISBN: 84-85021-29-0
- J. R. Reitz, F. J. Milford, y R. W. Christy, Fundamentos de la Teoría Electromagnética, (Addison-Wesley Iberoamericana, 1996). ISBN: 0-201-62592-X
- 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.
Problems books
- E. Benito; Problemas de campos electromagnéticos, (AC, 1984) ISBN: 84-7288-007-9
- J.A. Edminister; Electromagnetismo (McGraw-Hill, 1992). ISBN: 970-10-0256-3
- J.M. De Juana Sardón y M.A. Herrero García; Electromagnetismo (Paraninfo 1993) ISBN: 84-283-1992-8
- E. López Pérez y F. Núñez Cubero; 100 problemas de electromagnetismo, (AlianzaEditorial, 1997) ISBN: 84-206-8635-2
Software
No specific software is required.