Checking date: 16/04/2024

Course: 2024/2025

Physics II
Bachelor in Energy Engineering (Plan: 452 - Estudio: 280)


Department assigned to the subject: Physics Department

Type: Basic Core
ECTS Credits: 6.0 ECTS


Branch of knowledge: Engineering and Architecture

Requirements (Subjects that are assumed to be known)
First semester Algebra and Calculus courses and knowledge on single particle dynamics.
This course should make the student familiar with the basics concepts of electromagnetism. Since this is a first year course one of the main goals is to develop the student abilities in understanding abstract physical concepts through the combination of lectures, experiments and problem solving with the aid of mathematical tools. In order to achieve this goal, the following competences and skills have to be acquired: - Disposition to learn and comprehend new abstract concepts. - Ability to understand and use the mathematics involved in the physical models. - Ability to understand and use the scientific method. - Ability to understand and use the scientific language. - Develop abilities in problem solving. - Ability to use scientific instruments and analyze experimental data. - Ability to retrieve and analyze information from different sources. - Ability to work in a team.
Skills and learning outcomes
CB1. Students have demonstrated possession and understanding of knowledge in an area of study that builds on the foundation of general secondary education, and is usually at a level that, while relying on advanced textbooks, also includes some aspects that involve knowledge from the cutting edge of their field of study. CB2. Students are able to apply their knowledge to their work or vocation in a professional manner and possess the competences usually demonstrated through the development and defence of arguments and problem solving within their field of study. CB3. Students have the ability to gather and interpret relevant data (usually within their field of study) in order to make judgements which include reflection on relevant social, scientific or ethical issues. CB4. Students should be able to communicate information, ideas, problems and solutions to both specialist and non-specialist audiences. CB5. Students will have developed the learning skills necessary to undertake further study with a high degree of autonomy. CG1. Analyze, formulate and solve problems with initiative, decision-making, creativity,critical reasoning skills and ability to efficiently communicate and transmit knowledge, skills and abilities in the Energy Engineering field CG10. Being able to work in a multi-lingual and multidisciplinary environment CE2 Modulo FB. Understanding and command of the fundamental concepts of the general laws of mechanics, thermodynamics, fields and waves, electromagnetism and their application for solving engineering problems. CT1. Ability to communicate knowledge orally as well as in writing to a specialized and non-specialized public. CT2. Ability to establish good interpersonal communication and to work in multidisciplinary and international teams. CT3. Ability to organize and plan work, making appropriate decisions based on available information, gathering and interpreting relevant data to make sound judgement within the study area. CT4. Motivation and ability to commit to lifelong autonomous learning to enable graduates to adapt to any new situation. By the end of this content area, students will be able to have: RA1.1 knowledge and understanding of the physics principles underlying their branch of engineering; RA2.1 the ability to apply their knowledge and understanding to identify, formulate and solve physics problems using established methods; RA4.2 the ability to design and conduct appropriate experiments, interpret the data and draw conclusions; RA4.3 the ability to select and use appropriate tools and methods to solve physics problems; RA5.1 the ability to combine theory and practice to solve physics problems; RA5.2 workshop and laboratory skills.
Description of contents: programme
1 ¿ Coulomb¿s Law 1.1 Electric charge 1.2 Coulomb¿s Law. Electromagnetic interaction 1.3 Dimensions and units. 1.4 The Superposition Principle 2 ¿ The Electric field 2.1 Definition of Electric Field 2.2 The Electric Field created by a point charge 2.3 The Superposition Principle 2.4 The Electric Field Lines. Graphic representation 2.5 Electric Field created by continuous distributions of charge. Examples 3 ¿ Gauss¿s Law in vacuum 3.1 Flux of Electric Field through a surface. 3.2 The Electric Field created by various charge distributions 3.3 Gauss¿s Law 3.4 Application of Gauss¿s Law: Calculate the Electric Field 4 ¿ The Electric Potential 4.1 Electrostatic potential Energy of a point charge 4.2 Electric potential. Electric potential created by different charge distributions 4.3 Electric field and potential. Graphical representation. Equipotential surfaces 4.4 Electrostatic energy. Discrete and continuous distribution of charge 4.5 Electric dipole. Dipolar approximation. Effect of the electric field on a dipole 5 ¿The Electric Field in matter. Conductors 5.1 Conductors and insulators 5.2 Conductors in electrostatic equilibrium 5.3 Charge distribution in conductors 5.4 Electric shielding and edge effect 6 ¿ The electric field in matter: Dielectrics. Generalized Gauss¿s Law 6.1 Capacitors and capacitance. Combination of capacitors 6.2 Energy stored in a charged capacitor 6.3 Faraday experiments with dielectric materials. Effects on capacitor parameters 6.4 Electric polarization in matter. Vector P. Electric susceptibility 6.5 Electric Displacement D. Constitutive equation. Generalized Gauss¿s Law 7 ¿ Electric Current 7.1 The Electric Current: Current and Current Density. Generalized Ohm¿s Law 7.2 Electric Resistance and Electric Conductivity 7.3 Power dissipated in an electric conductor. Joule¿s Law. Differential form 7.4 Electromotive force (emf) 8 ¿ Magnetic field. Magnetic Forces 8.1 The Magnetic Field 8.2 Lorenz¿s Force. Charged particle movement in a magnetic field 8.3 Magnetic force acting on a current-carrying conductor. Ampere¿s Law 8.4 Magnetic moment 8.5 Torque on current loops. Magnetic potential energy. Analogy with electric dipole 9 ¿ Sources of Magnetic Field 9.1 Biot-Savart Law. Application to the magnetic field created by currents 9.2 Ampère¿s Law. Application to the calculation of magnetic fields. 9.3 Magnetism in matter: Magnetization(M). Magnetic field strength H. Constitutive equation. 9.4 Magnetism in matter: Magnetic materials. Ferromagnetism 10- Electromagnetic induction: Faraday¿s Law 10.1 Faraday¿s Law. Faraday¿s experiments. Applications. Exceptions to the flux rule 10.2 Induced emf on a moving circuit in a magnetic field 10.3 Induced emf on a circuit in a time varying magnetic field. Eddy/Foucault currents 10.4 Self-Induction and Mutual Induction 10.5 Magnetic energy in an inductor. RL circuit 11- Ampère ¿ Maxwell¿s Law. Continuity Equation 10.1 Displacement Current 10.2 Ampère-Maxwell¿s Law 10.3 Continuity equation 10.4 RC circuit 12 ¿ Electromagnetic waves 12.1 Maxwell equations (integral form) 12.2 Wave equation. Particular solution: monochromatic plane wave. 12.3 Wave parameters. Phase and group velocities. Impedance. Refraction index 12.4 Power and energy carried by an EM wave. Poynting vector 12.5 Stationary waves 12.6 EM waves generation: oscillating dipole
Learning activities and methodology
Lectures, where the theoretical concepts are explained The lecturer provide a file with the following information (1 week in advance) - Main topics to be discussed during the session - Chapters/sections in each of the text books provided in the bibliography were the student can read about these topics Recitations (~ 40 students divide in 2-3 people groups) to solve problems. The main skills to be developed in these activities are: - To understand the statement of the problem (for instance drawing an scheme that summarizes the statement) - To identify the physical phenomenon involved in the statement and the physical laws related to it. - To develop a strategy to reach the objective (for instance breaking the problem in small sub-problems). - To be careful in the use of mathematics - To analyze the result (is the final number reasonable?, are the dimensions consistent?) Small works focused to the search of scientific information in different sources (mainly internet). Laboratory sessions (~ 24 students divide in 2 people groups) The main skills to be developed in this activity are: - To understand that physics is an experimental science and they can reproduce the laws that have been theoretically explained in the lectures - To use scientific instruments and to be careful in its operation - To be careful in the acquisition of the experimental data - To learn the basis of the management of a scientific data set - To write a report with the main results of the experiment - To reason in a critical way these results: have we achieve the goals of the experiment?
Assessment System
  • % end-of-term-examination 60
  • % of continuous assessment (assigments, laboratory, practicals...) 40

Calendar of Continuous assessment

Extraordinary call: regulations
Basic Bibliography
  • Alan Giambattista, Betty McCarthy Richardson and Robert C. Richardson. College Physics, Fourth Edition. McGraw Hill, ISBN 978-0-07-131794-8. 2010
  • Paul A. Tipler and Gene Mosca. Physics for Scientists and Engineers, Volume 2, 6th Edition. W.H. Freeman, ISBN-10:0716789647, ISBN-13: 978-0716789642. 2007
Additional Bibliography
  • Alan Giambattista, Betty MacCarthy Richardson and Robert C. Richardson. College Physics, Fourth Edition. McGraw Hill. 2010
  • J.R. Reitz, F.J. Milford y R.W. Christy. Foundations of Electromagnetic Theory. Ed. Addison Wesley; ISBN-10: 0321581741; ISBN-13. 2008
  • R.K. Wangsness. Electromagnetic Fields. Ed. Willey; ISBN-10: 0471811866 ISBN-13: 978-0471811862. 1986

The course syllabus may change due academic events or other reasons.