|Responsible unit:||Department of Engineering Physics|
|Course/CS Responsible:||Master in Electrical and Computers Engineering|
|Acronym||No. of Students||Study Plan||Curricular Years||Credits UCN||Credits ECTS||Contact hours||Total Time|
|Francisco José Baptista Salzedas|
|Carlos Daniel Diogo Matias Pintassilgo|
|Francisco José Baptista Salzedas||3,00|
|Carlos Daniel Diogo Matias Pintassilgo||3,00|
|Francisco José Baptista Salzedas||4,00|
|Joana dos Santos Brojo Ascenso||2,00|
|Carlos Daniel Diogo Matias Pintassilgo||4,00|
|Luís Miguel Fortuna Rodrigues Martelo||6,00|
|António José dos Santos Silva||6,00|
The objectives of this course unit are such that students should:
- acquire fundamental knowledge of electromagnetism;
- develop reasoning and skills in autonomous and critical problem resolution;
- acquire discipline of continued work;
- have an attitude respectful of ethical values.
At the end of this unit course, student should be able to:
- correctly use the laws governing electromagnetic phenomena;
- describe electromagnetism as a unifying theory of various electromagnetic phenomena observed in nature and used in technologies;
- use appropriate technical vocabulary;
- describe practical applications of Electromagnetism;
- have a critical attitude of the obtained final results.
It is assumed that students have:
i) knowledge of Newtonian mechanics, that is, they know the three laws of Newton and are able to describe the forces and movements they produce
ii) some basic knowledge of the atomic structure of matter;
iii) knowledge of electrical circuits, i.e., to know the laws of Ohm and Kirchhoff and know how to deal with resistors, capacitors and inductors.
iv) some knowledge about vectors (for example, add vectors, write the position-vector of a particle in three-dimensional space and compute the inner and outer product of two vectors) and elementary calculus (i.e., to derive and integrate simple functions).
1) Coordinate systems : cartesian, cylindrical and spherical; transformations between coordinate systems; elements of length, surface and volume.
2) Coulomb's Law : electric charge and its conservation; conductors and insulators ; discrete and continuous distributions of electric charge, electric force between point charges; superposition principle .
3 ) Electric Field : calculation of the electric field from Coulomb's law, the electric dipole, field lines. Gauss's law in integral form; electrical flow, the divergence theorem and the differential form of Gauss's Law .
4) Electrostatic Potential : conservative forces and fields, Stokes' theorem and the curl of the electrostatic field, the electric potential, equipotentials lines; differential relation between electric field and potential, the electric dipole, the differential form of the equations of electrostatics. The equations of Laplace and Poisson. Electrostatic energy .
5) Electrostatic of Conducting Materials : conductors in electrostatic equilibrium and theirs electrical properties , the power of the tips; electrostatic shielding.
6 ) Capacity and Electric Capacitors : plane, cylindrical and spherical capacitors; capacitors in series and parallel; electrostatic energy stored in a capacitor .
7) Electrostatic of Dielectric Materials: polarization charge, polarization vector, electric displacement vector ; isotropic , homogeneous and linear dielectric materials: electric susceptibility, electric permittivity, dielectric strength and dielectric rupture. Capacitors with dielectric materials. Electrostatic energy in matter. Boundary conditions of the electric field.
8) Electric Current : current density vector. Metallic conductors : microscopic model of electric conduction , conductivity and electrical resistivity , resistivity changes with temperature. Ohm's law , electrical resistance , Joule's effect; electromotive force ; continuity equation , Kirchhoff's laws .
9) Magnetic field : magnetic force between stationary electric currents , magnetic field B , Biot - Savart law , Ampere's law in integral form , the curl of the magnetostatic field and the differential form of Ampere's law , magnetic force on an electric charge : Newton - Lorentz equation ; magnetic force on electric currents , forces and torques in turns. Divergence of the magnetic field , the magnetic vector potential . The differential form of the equations of magnetostatics. Inductance and coils : self-induction and mutual induction coefficients, the Neumann's formula . Magnetic energy stored in a coil.
10) Magnetic Materials : the magnetic dipole , the magnetization vector , the magnetization currents , the magnetic field H , diamagnetism , paramagnetism and ferromagnetism , the hysteretic cycle ; misotropic , homogeneous and linear agnetic materials : magnetic susceptibility , magnetic permeability , boundary conditions for the magnetic field. Magnetic circuits : the Hopkinson's law; magnetomotive force and magnetic reluctance ; Kirchhoff's laws for magnetic circuits .
11) Electromagnetic Induction : Faraday's law of induction , Lenz's law , the alternating electric current generator , the Faraday's law of induction in integral and differential forms ; ideal electrical transformer. Magnetic energy.
12) Maxwell's equations : the displacement current , the induced magnetic field , Ampere- Maxwell's law - in integral and differential forms ; Maxwell's equations in vacuum and in the presence of matter, electromagnetic waves and the speed of light in vacuum ; plane electromagnetic waves and harmonics , the electromagnetic spectrum , the equation of conservation of electromagnetic energy and Poynting vector.
Theoretical lectures (TEORICAS): complete discussion of the subjects and exercise solving of main basis cases.
Exercise classes (TEÓRICO-PRÁTICAS): exercise solving under the supervision of the teacher of several exercises.
|Frequência das aulas||77,00|
-For students in 1st registration:
Number of absences defined by UP regulation.
- For students with two or more registrations:
For these students there is no criterion of attendance, ie, there is no marking of faults.
► Distributed Assessment (AD) will consist of 1 test.
-The test will be quoted in the scale from 0 to 20 values, and this is the classification to be attributed to each student.
►Students enrolling for the 1st time:
To attain admission to final exams students must:
► For other students:
Students that attained the conditions of admission to final exams in the previous academic year:
EITHER they keep previous distributed evaluation grade, where the two best marks (out of three) obtained last year are considered. For these students there is no criterion of attendance, they do not need to enroll in a class.
OR they can, irreversibly, choose to take again the distributed evaluation, being the previous distributed evaluation grade canceled. They can just attend the test.
Students that did not attained the conditions of admission to final exams in the previous academic year:
EITHER take the distributed evaluation like 1st time students
OR attend only "exame de recurso", performing this exam for 20 marks.
► Regardless of the classification obtained in the distributed evaluation, all students may attend the final exam.
EXPLANATION OF DISTRIBUTED EVALUATION:
► Distributed evaluation will consist of one test.
► The duration of the test is 50 minutes, involving 7 multiple choice questions and one “classic” exercise.
If the mark obtained in the exam (EX) is lower than 8.0 (minimum to be approved in the curricular unit), the final classification (CF) will be that mark. Otherwise, the final classification is given by
CF = Max (0,4*AD + 0,6*EX ; EX)
CF - Final Mark (0 to 20 points)
EX - Final Exam (0 to 20 points)
AD - Classification of the test of Distributed Evaluation (0 to 20 points).
-Students who during the current school year are under special status (TE) are exempted from attendance. As mentioned above, they may obtain approval by AD or final examination.
Through the 2nd round Final Exam.
Final Mark will be evaluate as follows:
CF = max (CFN, 0.4 * AD + 0.6 * R, R) where
CFN is the 1st. round final grade (from 0 to 20 points), AD is the Distributed Evaluation grade (from 0 to 20 points) and R is the 2nd. round Final Exam ("Exame de Época de Recurso") grade (from 0 to 20 points).