| Competences |
| Type A | Code | Competences Specific |
| A2 | Have knowledge of taking measurements, calculations, evaluations, valuations, surveys, studies, reports, work plans and other similar studies. | |
| FB2 | Understand and have good command of the basic concepts of the general laws of mechanics, thermodynamics, fields and waves and electromagnetism and their application to solve problems inherent in engineering. | |
| Type B | Code | Competences Transversal |
| B2 | Have knowledge in basic and technological subjects, which gives them the ability to learn new methods and theories, and the versatility to adapt to new situations. | |
| Type C | Code | Competences Nuclear |
| Learning outcomes |
| Type A | Code | Learning outcomes |
| A2 |
Know and apply Coulomb's law. Understand the concept of electrical capacity. Analyse basic DC circuits. Know how to apply the Biot-Savart law and Ampere's law. Understand the laws of geometric optics and their application. Know the laws of wave optics and the phenomena of interference and diffraction. | |
| FB2 |
Understand and apply Coulomb's law. Understand the concepts of electric fields and electric potential. Understand the Gauss theorem. Know the concept of electrostatic energy. Know the characteristics of conductors. Understand the concept of electrical capacity. Distinguish a dielectric material from another conductor. Know the basic concepts of electrokinetics. Analyse basic DC circuits. Know the concept of magnetic fields. Understand the concept of magnetic forces. Know the magnetic moment of a coil. Know how to apply the Biot-Savart law and Ampere's law. Understand the concepts of magnetic induction, self-induction and mutual induction. Analyse basic circuits in sinusoidal steady state. Know the Maxwell equations in integral form as a summary of electromagnetic theory. Know the corpuscular and wave theories of light. Understand the laws of geometric optics and their application. Know the laws of wave optics and the phenomena of interference and diffraction. | |
| Type B | Code | Learning outcomes |
| B2 |
Know and apply Coulomb's law. Understand the concepts of electric fields and electric potential. Understand the Gauss theorem. Know the concept of electrostatic energy. Know the characteristics of conductors. Understand the concept of electrical capacity. Distinguish a dielectric material from another conductor. Know the basic concepts of electrokinetics. Know the concept of magnetic fields. Understand the concept of magnetic forces. Know the magnetic moment of a coil. Understand the concepts of magnetic induction, self-induction and mutual induction. Know the Maxwell equations in integral form as a summary of electromagnetic theory. Know the corpuscular and wave theories of light. Understand the laws of geometric optics and their application. Know the laws of wave optics and the phenomena of interference and diffraction. | |
| Type C | Code | Learning outcomes |
| Contents |
| Topic | Sub-topic |
| 1. ELECTRIC FIELD |
1. COULOMB's LAW AND ELECTRIC FIELD. Electric force between two point charges. Coulomb's law. Field concept. Electric field (E) generated by a distribution of 'n' point charges. The electric dipole. Electric field lines and properties. 2. POTENTIAL ENERGY AND ELECTRIC POTENTIAL. Concept of energy variation and electric potential between two points. Conservativity of the Electric Field. Origin of potential. Electric potential of a point (V). Relationship between the field and the electric potential. Equipotential surfaces and their relationship with field lines. Calculation of the electric potential for a distribution of 'n' point charges 3. FIELD AND POTENTIAL PRODUCED BY CONTINUOUS CHARGE DISTRUBUTIONS Concept of electric charge density (volumetric, superficial and linear). Electric field and potential generated by a continuous charge distribution applying Coulomb's law. Calculation examples: field and potential generated by a charged ring on points of its axis; field and potential generated by a finite and infinite rectilinear wire; field and potential generated by a disc charged on points of its axis. Field and potential generated by a charged infinite plane. 4. GAUSS' THEOREM OF ELECTROSTATICS AND ITS APPLICATIONS. Concept of electric field flux and relation to field lines. Statement of Gauss' theorem. Calculation of electric fields of continuous charge distributions with planar, spherical and cylindrical symmetry using Gauss's theorem. Equivalence of Gauss' Theorem and Conservativity of the Electric field with Coulomb's law. Calculation of electric potentials for certain symmetrical charge distributions by integration of the electric field from a reference. 5. ELECTRIC CONDUCTORS. Concept of electric conductor and current carriers. Electric fields and field lines in a conductor. Potentials and equipotential surfaces in a conductor. 6. THE FLAT CAPACITOR. Idea of capacitor and concept of capacity of a capacitor. Dielectric materials in a capacitor. Polarization FIeld. Concept of dielectric permittivity. Association of series and parallel capacitors. Electrostatic energy stored in a capacitor. |
| 2. ELECTRIC CURRENT |
1. CONCEPT OF ELECTRIC CURRENT Nature of electric current as a flow of charges in orderly motion. Concept of electric current density and electric current intensity. Thermal movement of carriers and drift velocity. Calculation of drag current density from drift velocity. Electric field as the cause of drift velocity. Concept of current carrier mobility. Local Ohm's Law and limits. Global Ohm's Law and concept of electrical resistance. 2. ENERGETIC ASPECTS OF ELECTIRC CURRENT Losses of potential energy along a current. Resistor concept. Concept of potential or voltage along a current. Electric power concept. Joule effect. Electric voltage and current generators. Establishment of closed circuits of a single mesh with resistors and voltage generators. Potential balance and power balance in a mesh circuit. Establishment of electrical nodes with resistors and current generators. Current and power balance in a node. 3. ASSOTIATION OF RESISTORS Serial assotiation of resistors. Parallel assotiation of resistors. 4. PERIODICALLY VARIABLE SIGNALS: SINUSIOIDAL, TRINAGULAR, SQUARE. Concetp of the associated magnitudes to these signals: peak voltage, period, frequency, phase, etc. 5. RELATIONSHIP BETWEEN TENSION AND CURRENT IN A CAPACITOR IN THE VARIABLE WITH TIME REGIME. |
| 3. CAMP MAGNÈTIC ESTÀTIC | 1. INTRODUCTION TO THE CONCEPT OF MAGNETIC FIELD AND FORCE Magnetic field as field generated by chargesin motion or by currents. Magnetic field as field that has an action on charges in motion and on currents. 2. ACTION OF A MAGNETIC FIELD Force of a magnetic field on a moving charge. Force of a magnetic field on a current element. Force and moment of forces of a magnetic field on a loop and concept of magnetic moment. Basic operation of an electric motor. 3. SOURCES OF MAGNETIC FIELD Magnetic field generated by a moving charge. Magnetic field generated by a current element. Law of Biot and Savart. 4. CALCULATION OF MAGNETIC FIELD GENERATED BY DETERMINED CURRENT DISTRIBUTIONS CALCULS DE CAMPS MAGNETICS GENERATS PER CERTES DISTRIBUCIONS DE CORRENT. Field produced by a finite and infinite rectilinear wire. Field produced by a circular loop and relation to the magnetic moment. Magnetic field lines and properties. Field lines of a magnetic dipole. Magnetic force between two straight wires and definition of the Ampère unit. The fact that the magnetic field lines B are closed. 5. MAGNETISM AMPÊRE's LAW. Concept of magnetic field circulation. Statement of Ampère's Law. Calculation of the magnetic field generated by certain current distributions using Ampère's Law. Equivalence between Ampère's Law and the Law of closed B lines with the Law of Biot and Savart. Approach to the calculation of the magnetic field generated by a coil. 6. MAGNETISM IN MATERIALS Phenomena of magnetization of a material. Magnetic dipole moments. Concepts of magnetic excitation field (H), magnetic flux density (B) and magnetization field (M). Concepts of permeability and magnetic susceptibility. Types of magnetic materials. Magnetic cores in coils. Hysteresis and magnetic saturation phenomena. Losses in a coil. |
| 4. ELECTROMAGNETIC INDUCTION PHENOMENA | 1. ELECTROMAGNETIC INDUCTION PHENOMENA AND FARADAY-LENZ's LAW. Phenomena of electromagnetic induction. Concept of magnetic flux and associated units. Faraday-Lenz law. Induced electromotive force and its sign. Basic ways to vary the flow. Examples of flow variation due to variation of the circuit area. 2. INDUCTION IN COILS. Approximate calculation of the flux through a coil from the current. Concept of mutual induction between coils and associated units. Self-induction of a coil. Basic concepts of transformers. The alternator, basic operation. 3. GLOBAL FORMULATION OF ELECTROMAGNETISM: MAXWELL's EQUATIONS AND ELECTROMAGNETIC WAVES. Reminder of the equations of electricity and magnetism (in integral form) that have been given throughout the course. Equivalent statement of Maxwell's 4 equations in differential form. Statement of a solution of Maxwell's equations in the form of electromagnetic waves. Direction of propagation of a ray and calculation of the velocity of propagation in any medium. Concept of frequency and index of refraction. The electromagnetic spectrum and utility of each band. |
| 5. BASIC PHENOMENA OF GEOMETRIC OPTICS. (this subject is only studied in laboratory practices) |
1. REFLECTION AND REFRACTION OF A LIGHT RAY. Reflection and refraction of light. Snell's law. Total reflection. |
| Planning |
| Methodologies :: Tests | ||||||||||
| Competences | (*) Class hours |
Hours outside the classroom |
(**) Total hours | |||||||
| Introductory activities |
|
1 | 0 | 1 | ||||||
| Lecture |
|
30 | 30 | 60 | ||||||
| Problem solving, exercises |
|
0 | 15 | 15 | ||||||
| Problem solving, exercises in the classroom |
|
14 | 0 | 14 | ||||||
| Laboratory practicals |
|
20 | 15 | 35 | ||||||
| Previous study |
|
0 | 15 | 15 | ||||||
| Personal attention |
|
4 | 0 | 4 | ||||||
| (*) On e-learning, hours of virtual attendance of the teacher. (**) The information in the planning table is for guidance only and does not take into account the heterogeneity of the students. | ||||||||||
| Methodologies |
| Description | |
| Introductory activities | Introduction to the subject, explaining general questions, the objectives, the syllabus, the planning, the functioning of the practices and the groups, as well as the assessment items and the bibliography. |
| Lecture | The teacher explains clearly and using appropriate techniques the syllabus of the subject, trying as far as possible to make the student participate. The student intervenes sporadically by raising questions to the teacher. The theory will be illustrated with concrete examples developed as if they were more or less short exercises. Generally this activity takes place during theory classes (2 hours a week) |
| Problem solving, exercises | The student must do the proposed exercises at home, in order to practice the knowledge learned. |
| Problem solving, exercises in the classroom | The teacher solves and teaches how certain types of problems are solved in the regular classroom. Generally this activity takes place during problem classes (1 hour a week) |
| Laboratory practicals | Under the guidance of the teacher, the student carries out a series of 10 experiments and measurements in order to study practical phenomena totally related to the subject's syllabus. The aim of this is to achieve a better learning of electrical, magnetic and optical concepts and phenomena; at the same time as acquiring knowledge of the methodology to make measurements and real experiments. The student must prepare a report of the practice, once finished in order to demonstrate its use and learning |
| Previous study | The student develops a series of exercises and theoretical questions related to each of the 10 practices he will do. The objective is the previous study of the practice case in order to obtain a better use of it. |
| Personal attention | The teacher attends personally to the students who ask him, focusing on the specific problem that he raises. |
| Personalized attention |
| Description |
| <div class="tw-ta-container f0azhf tw-nfl" id="tw-target-text-container" tabindex="0"><pre class="tw-data-text tw-text-large tw-ta" data-placeholder="Translation" id="tw-target-text" dir="ltr">It includes the student's attention during teacher consultation hours, in relation to difficulties in understanding the syllabus or carrying out the assigned tasks: problems, previous studies and practicals.</pre></div> |
| Assessment |
| Methodologies | Competences | Description | Weight | ||||
| Laboratory practicals |
|
The accomplishment of the practical experiments, the incorporation of the related concepts, and the student's ability to provide a report of the obtained results will be evaluated by means of the production of a written report for each laboratory class. | 20 | ||||
| Previous study |
|
The student's previous preparation will be evaluated by means of the realization of short test quizzes, carried out during the laboratory practice. | 10 | ||||
| Others |
| Other comments and second exam session | |||
| Sources of information |
| Basic |
P.A. Tipler, G. Mosca, Física para la ciencia y la tecnología. Volúmen II, 5, Reverté
H.C. Ohanian, J.T. Markert , Física para ingeniería y ciencias , 3, Mc. Graw Hill |
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| Complementary | |||||||||
| Recommendations |
(*)The teaching guide is the document in which the URV publishes the information about all its courses. It is a public document and cannot be modified. Only in exceptional cases can it be revised by the competent agent or duly revised so that it is in line with current legislation.