Electromagnetism

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Coordinating unit: Teaching unit: Academic year: Degree: ECTS credits: 2017 240 - ETSEIB - Barcelona School of Industrial Engineering 748 - FIS - Department of Physics BACHELOR'S DEGREE IN MATERIALS ENGINEERING (Syllabus 2010). (Teaching unit Compulsory) BACHELOR'S DEGREE IN INDUSTRIAL TECHNOLOGY ENGINEERING (Syllabus 2010). (Teaching unit Compulsory) BACHELOR'S DEGREE IN CHEMICAL ENGINEERING (Syllabus 2010). (Teaching unit Compulsory) 6 Teaching languages: Catalan, Spanish Teaching staff Coordinator: Others: FRANCISCO JAVIER LANA PONS CARINA SERRA DE LARROCHA XAVIER LANA PONS Degree competences to which the subject contributes Specific: 1. Understanding and dominion of basic concepts on mechanics, thermodynamics, fields and waves and electromagnetism laws and their application to solve engineering problems. Teaching methodology The learning of electromagnetism means to understand the theory concepts and know how to apply them in contextualized situations. For this reason, there is no temporary separation between the theory sessions and the sessions of resolving exercises. The expositoriest character of the class will be given by the learning objectives set and the most suitable situation to promote their learning. Learning objectives of the subject Acquirement of basic knowledge for a right interpretation and application of the fundamental principles of the electromagnetism. A complete knowledge of the electromagnetic theory fundamentals. Description of several physic phenomena by means of the electromagnetic theory. The familiarization with some of the most relevant applications of the electromagnetism. The resolution of easy numerical problems for which the electromagnetic theory is necessary. Study load Total learning time: 150h Hours large group: 52h 34.67% Hours medium group: 0h 0.00% Hours small group: 8h 5.33% Guided activities: 0h 0.00% Self study: 90h 60.00% 1 / 5

Content Theme 1: Electrostatic fields in the vacuum Learning time: 23h Theory classes: 4h Practical classes: 4h Self study : 13h Fields theory. Electric charge. Coulomb's law. Electric field E. Electric potential V. Gauss's law. Equations of Poisson and Laplace. Potential energy. Theme 2: Conductors Learning time: 18h Theory classes: 4h Practical classes: 4h Self study : 10h Electrostatic equilibrium of conductors. Electric field at the surface of a conductor. Capacity of an isolated conductor. Definition of capacitor and capacitance. Potential energy in a capacitor. Electrostatic pressure. Capacitors in parallel and in series. Theme 3: Electrostatic fields in dielectric media Learning time: 20h Self study : 12h Electric dipoles. Dielectric materials. Electric polarization. Bound charge density. Electric susceptibility and permittivity. Electric flux density field D. First Maxwell's equation. Electric field in dielectric materials. Electrostatic energy in dielectric materials. Boundary conditions for V, E i D. Theme 4: Electrocinetic. Theory of circuits Learning time: 21h Theory classes: 2h Practical classes: 3h Self study : 14h Electric current. Intensity. Current density. Ohm's law. Electric resistance, resistivity and conductivity. Dependence of resistivity on temperature. Joule's effect. Sources of voltage. Direct current circuits and motors. Kirchhoff's laws. Charge and discharge of a capacitor. 2 / 5

Theme 5: Magnetostatic fields Learning time: 26h Self study : 16h Oersted's experience. Magnetic force. Magnetic flux density B. Biot-Savart's laws. Lorentz's force. Magnetic fields interacting with charges on movement. Selector of velocities. Mass spectrometer. Cyclotron. Second Maxwell's equation. Vector potential A. Ampère's law. Curl of B. Theme 6: Electromagnetic induction Learning time: 20h Self study : 12h Experiences on electromagnetic induction. Faraday Lenz's laws. Third Maxwell's equation. Foucault's currents. Transformers. Self inductance and mutual inductance. RL Circuit. Magnetic energy. LC and RLC circuits. Theme 7: Magnetisable materials Learning time: 16h Practical classes: 2h Self study : 11h Magnetic dipole. Magnetic materials. Atomic magnetic moments. Diamagnetism, paramagnetism and ferromagnetism. Magnetic dipole moment per volume unit. Ampère's currents. Magnetic field strength H. Magnetic susceptibility and permeability. Cycle of magnetic hysteresis and dissipation of magnetic energy. Magnetic circuits. Permanent magnet. Dependence of magnetization on temperature. Theme 8: Maxwell's equations Learning time: 6h Theory classes: 2h Practical classes: 1h Self study : 3h Conservation of electric charge. Fourth Maxwell's equation. Boundary conditions for B and H. Electromagnetic wave equation in the vacuum and dielectric materials. 3 / 5

Planning of activities EXPERIENCES IN THE LABORATORY Hours: 15h Laboratory classes: 6h Self study: 9h The working groups are constituted by two students. Every working group of students has to complete 3 experiences of two hours length in the laboratory. After finishing every one of the three experiences, working groups have to written a report answering questions concerning laboratory experiences. These reports should be hand in a week after the laboratory session. The available experiences are: 1. Characterization of electric fields: electrolytic pail. 2. Electric permittivity of vacuum and relative permittivity of dielectric media. 3. Measurements of direct current. 5. Charge and discharge processes of a capacitor. 6. Magnetostatic field generated by a solenoid. 8. Evaluation of the horizontal component of the magnetic field of the Earth. 9. Ferromagnetism. Hysteresis cycle. Support materials: Guides lab. Report practice. PARTIAL EXAM Assessment of knowledge. Solved exam. FINAL EXAM Assessment of knowledge. Solved exam. 4 / 5

Qualification system The final exam (EF) will consist in a part which the student will have to answer some excercises. The test of the middle of the semester will consist in a closed questions questionnaire format. In both tests the student will be allowed to check a formulary given by the professor at the beginning of the course. Calculator can also be taken. Students must carry out three practices in the lab. Once the practice in the lab is performed, a report must be elaborated and handed in a week after the practice has been carried out. NTOT= 0.6* NEF + 0.25* NMQ + 0.15* NLAB NTOT: Final mark of the subject NEF: Mark of the final exam. NMQ: Mark of the middle of the semester test NLAB: Average mark of the lab reports. Bibliography Basic: Varela Fernández, Manuel. Electromagnetisme. Barcelona: Publicacions i Edicions de la Universitat de Barcelona, 2006. Tipler, Paul Allen. Física para la ciencia y la tecnología, Volum 2A, Electricidad y magnetismo. 6a ed. Barcelona: Reverté, 2010. ISBN 9788429144246. Complementary: Fernández Mills, Gonçal. Electricidad, teoría de circuitos y magnetismo. Barcelona: Edicions UPC, 2006. ISBN 8483018454. Bohigas i Janoher, Xavier. Electromagnetisme per a l'enginyeria. Barcelona: Edicions UPC, 2007. ISBN 9788483019252. Lorrain, Paul; Corson, Dale R. Campos y ondas magnéticos. 6a ed. Madrid: Selecciones científicas, 1994. ISBN 848521290. Plonus, Martin A. Electromagnetismo aplicado. Barcelona: Reverté, 1982. ISBN 8429130632. Serway, Raymond A; Jewett, John W. Electricidad y magnetismo. 6a ed. México: Thomson, 2005. ISBN 9706865381. Bohigas, Xavier. Problemes resolts d'electromagnetisme. Barcelona: CPDA, 2000. ISBN 849535221. Bohigas, Xavier. Electromagnetisme : tests resolts i comentats. Barcelona: Edicions UPC, 2001. ISBN 8483015676. Bohigas, Xavier. Electromagnetisme per a l'enginyeria. Barcelona: Edicions UPC, 2007. ISBN 9788483019252. Reitz, J.R.. Fundamentos de teoría electromagnética. 4a ed. Wilmignton: Addison-Wesley, 1996. ISBN 020162592X. Others resources: The address http://baldufa.upc.edu, through the link Universitat, permits the access to teaching facilities consisting on theory notes. Solved problems and solved test questions, proposed in exams, are also available in this address. 5 / 5