Electromagnetism

Code:

EEC0012

Acronym:

ELEM

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2019/2020 - 1S

Active?	Yes
Web Page:	https://sigarra.up.pt/feup/pt/conteudos_adm.list?pct_pag_id=249640&pct_parametros=pv_ocorrencia_id=401727
Responsible unit:	Department of Engineering Physics
Course/CS Responsible:	Master in Electrical and Computers Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEEC	340	Syllabus	2	-	7	70	189

Teaching language

Portuguese

Objectives

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.

Learning outcomes and competences

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.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

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).

Program

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.

Mandatory literature

Alfredo Barbosa Henriques, Jorge Crispim Romão; Electromagnetismo. ISBN: 972-8469-45-4
Cheng David K.; Field and wave electromagnetics. ISBN: 0-201-12819-5

Complementary Bibliography

H. Moysés Nussenzveig; Curso de física básica. ISBN: 85-212-0134-6 (vol. 3)
David J. Griffiths, Reed College; Introduction to electrodynamics. ISBN: 0-13-805326-X
Umran S. Inan, Aziz S. Inan; Engineering electromagnetics. ISBN: 0-8053-4423-3
Daniel Fleisch; A student.s guide to Maxwell.s Equations. ISBN: 978-0-521-70147-1
Daniel Fleisch; A Student's Guide to Vectors and Tensors, Cambridge University Press, 2011. ISBN: 0521171903
Edward M. Purcell,David J. Morin; Electricity and Magnetism, Cambridge University Press, 2013. ISBN: 1107014026, 9781107014022
Richard Fitzpatrick; Classical Electromagnetism, 1997
Jorge Loureiro; Eletromagnetismo e Ótica, IST PRESS, 2019. ISBN: 978-989-8481-66-5
Jorge Loureiro; Exercícios de Eletromagnetismo e Ótica, IST Press, 2018. ISBN: 978-989-8481-67-2

Teaching methods and learning activities

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.

The distributed evaluation will consist of 3 tests in pre-defined dates.

keywords

Physical sciences > Physics > Electromagnetism

Evaluation Type

Distributed evaluation without final exam

Assessment Components

Designation	Weight (%)
Teste	100,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	112,00
Frequência das aulas	77,00
Total:	189,00

Eligibility for exams

► Attendance:

-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 3 tests (T1, T2 and T3) in predefined dates to be announced in time at the beginning of the semester.

-The 3rd Test (T3) will run after the end of the semester at the normal season of exams. The tests have a maximum duration of 1 hour and 30 min.
-A test with a minimum rating of less than 5 values is not considered in the calculation of the final classification.
-Each test will be quoted in the scale from 0 to 20 values, and this is the classification to be attributed to each student.

► Approval in the curricular unit can be achieved by AD or final examination of appeal ("recurso" season). If a student does not obtain approval in the curricular unit by AD, she or he can carry out the examination of appeal season.

SCHEDULED DATES OF THE DISTRIBUTED EVALUATION TESTS:

- 1st TEST: 5th Week of classes, beginning on October 14th.
- 2nd TEST: 11th week of classes, beginning on November 25th.
- 3rd TEST: 1st week of the normal season of exams, beginning on January 6th.
The exact dates will be set by the Year Coordination.

Calculation formula of final grade

-The classification of the curricular unit corresponds to the average AD classification (T1 + T2 + T3)/3 or to the classification of the appeal exam, quoted for 20 values.

-A test with a minimum rating of less than 5 values is not considered in the calculation of the final classification.

-If a student is missing one of the tests, the classification assigned to this test for calculating the final classification is zero.

Examinations or Special Assignments

n.a.

Internship work/project

n.a.

Special assessment (TE, DA, ...)

-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.

Classification improvement

Final exam quoted for 20 values (appeal season).

Observations

-Students should dedicate to the study of the curricular unit about 5 hours per week, in addition to the usual frequency of classes.

-Any attempted FRAUD during the distributed evaluation process leads to loss of frequency and not admission to examination.

-Weekly attendance to students is accomplished through a direct negociation between the student and the professor.