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Physics II

Code: EMM0008     Acronym: FISI2

Classification Keyword

Instance: 2020/2021 - 1S Ícone do Moodle

Active? Yes
Responsible unit: Department of Engineering Physics
Course/CS Responsible: Master in Metallurgical and Materials Engineering

Cycles of Study/Courses

Acronym No. of Students Study Plan Curricular Years Credits UCN Credits ECTS Contact hours Total Time
LCEEMG 13 Plano de estudos oficial a partir de 2008/09 2 - 6 56 162
MIEMM 28 Syllabus since 2006/2007 2 - 6 56 162

Teaching Staff - Responsibilities

Teacher Responsibility
Maria Helena Sousa Soares de Oliveira Braga

Teaching - Hours

Recitations: 2,00
Laboratory Practice: 2,00
Type Teacher Classes Hour
Recitations Totals 1 2,00
Maria Helena Sousa Soares de Oliveira Braga 2,00
Laboratory Practice Totals 2 4,00
Mercedes Esteves Filho 4,00

Teaching language

Suitable for English-speaking students


The Physics II course aims to provide students with operational knowledge (cf. Learning outcomes and competences) in Electrical Circuits and Electromagnetism – areas of knowledge absolutely fundamental to contemporary engineering. In particular, the physical laws to be addressed explain a wide range of technologies, from motors, instruments, sensors, to energy transport networks and information or electromagnetic radiation. They also explain some of the electromagnetic behaviour of materials that have an increasing technological utility.

At a macro level it is expected in this curricular unit:

  1. a) to develop physical intuition about situations of electromagnetic nature observed in nature and used in devices by discussing, analysing and identifying the physical laws that govern them;
  2. b) to model these situations, making use of approximations, using analytical and numerical tools, judging the results obtained.
  3. c) to measure in the laboratory electromagnetic quantities, in a variety of situations, comparing with predictions of the models.


The curricular unit is essentially integrated in the descriptors "1. Scientific and Technical Knowledge and Reasoning "and" 2. Personal and professional skills "of the CDIO (Conceiving - Designing - Implementing - Operating) quality system. In particular: (a) "1.1. Knowledge of fundamental sciences "; "1.2. Nuclear Knowledge of Engineering (Engineering Sciences) "; (c) "2.1. Thinking and solving engineering problems "; (d) "2.2. Experimentation and discovery of knowledge ". The descriptor "3.1. Group work "of" 3. Interpersonal skills " is partially addressed.

At the level of the EUR-ACE quality system, the curricular unit is essentially integrated into the descriptor "Knowledge and understanding" and, to a lesser extent, the descriptors "Engineering Analysis" and "Communication and Teamwork".

Learning outcomes and competences

Specifically at the end of the course students are expected to:

a) Describe the quantities, concepts and physical laws that govern Electric Circuits and Electromagnetism, with mathematical rigor, making correct use of scientific vocabulary and identifying domains of validity.
b) Identify several components of electrical circuits (sources, batteries, resistors, capacitors, inductors), analyse and model circuits in which they are present, in the continuous, transient and forced sinusoidal regimes, evaluating the reasonableness of the obtained results.
c) Make circuits and measure electromagnetic quantities (current, voltage, resistance, capacitance, magnetic and electric field intensities) in the laboratory, making use of multimeters, oscilloscopes and other sensors, estimating errors associated to the measurements, being critical in relation to the obtained results and comply with laboratory safety rules.
d) Compute the electric and magnetic fields created by charge and current distributions in static or quasi-static situations, using analytical and numerical tools, identifying the symmetries present. Apply these models to real situations.
e) Argue that the electromagnetic field is a single entity governed by the laws of electrodynamics, identifying situations where electromagnetic induction is present, modelling analytically and numerically simple situations of general relevance. Explain electromagnetic waves as an electrodynamic phenomenon, calculating some simple properties.
f) Analyse the energy at play in electromagnetic situations, calculating the energy stored in fields, charges or currents.
g) Model in simple situations the electromagnetic field in dielectric and magnetic materials, identifying polarization charges and magnetization currents. Describe electromagnetic phenomena in matter (e.g. electrical conduction in semiconductors, piezoelectric effect or diamagnetism).
i) Work in groups, organizing and sharing tasks, executing and justifying the steps taken in the task, critically listening to the justifications of the other members of the group in relation to their tasks.

Working method


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

It is assumed that the students have assimilated the contents of the curricular units Physics I and Mathematical Analysis II.


  1. Electric field

  2. Charge, voltage and electric current

  3. DC Circuits

  4. First order and second order circuits.

  5. AC circuits.

  6. Magnetic field

  7. Electrodynamics

  8. Electromagnetic energy

  9. Electromagnetics in matter (if time permits)

Mandatory literature

Jaime E. Villate; Teoria Eletromagnética, 2015. ISBN: 978-972-99396-4-8
Paul A. Tipler; Física para cientistas e engenheiros: vol 2 Electricidade e magnetismo, ótica, 2000. ISBN: 85-216-1463-2

Complementary Bibliography

Paulo J.V. Garcia; Apontamentos e fichas das aulas teorico-práticas e práticas, 2011
Nussenzveig, H. Moysés; Curso de física básica. ISBN: 85-212-0134-6 (vol. 3)
Charles K. Alexander, Matthew N. O. Sadiku; Fundamentals of electric circuits. ISBN: 0-07-115126-5
J. A. Brandão Faria; Análise de Circuitos, IST - Instituto Superior Técnico, 2013. ISBN: 9789898481207

Teaching methods and learning activities

Lectures: presentation by the lecturer of concepts; their illustration by solving key problems; 

Recitation classes: problem solving by students under the supervision of the lecturer; laboratory experiments. 

Moodle site:
power-point presentations of the lectures, multimedia resources, problem sheets, self-evaluation tests, general information of the course and evaluation results.

Office hours:
personalized tutorship where doubts on the theory and applications are clarified.




Physical sciences > Physics > Electromagnetism

Evaluation Type

Distributed evaluation without final exam

Assessment Components

Designation Weight (%)
Teste 50,00
Trabalho laboratorial 50,00
Total: 100,00

Amount of time allocated to each course unit

Designation Time (hours)
Estudo autónomo 53,00
Frequência das aulas 56,00
Total: 109,00

Eligibility for exams

Students with a previous inscription in the course obtain frequency if:

- Obtain a mark of 10 valores in the laboratory component.

- The laboratory mark (is larger than 10) is the one of the previous year.

Students with a first inscription in the course obtain frequency if:

- Do not miss more than 4 recitation classes;

- Obtain a mark of 10 valores in the laboratory component.

Students without frequency cannot pass the "recurso exam".

Calculation formula of final grade

The evaluation consists in:

- TI: mid-term test;

- TF: final test;

- L1, L2: two labs in pre-defined dates;


The final mark NF is given by the formula:

IF ((L1+L2)/2 ≥ 10,0) and IF ((TI e TF ≥ 5,0) and ((TI+TF)/2 ≥7,0))

than NF=(TI+TF+L1+L2)/4 ;


Students with NF > 16 might have to pass a special oral examination: POC. For them the final mark is max(16, POC).

Examinations or Special Assignments


Internship work/project


Special assessment (TE, DA, ...)

For the students that during the present academic year have a working student or military statute both the frequency conditions and obligatory distributed evaluation are optional. The students in the conditions described above and that have decided to opt out from the distributed evaluation scheme or decided not to use the previous academic year distributed evaluation mark are admitted to the recurso exam with the final mark given by the exam mark. The recurso exame might have a laboratory component.

The students with the “dirigente associativo” statute cannot opt out from the distributed evaluation scheme.

Non-portuguese speaking students will follow a tutorial regime (i.e. the standard classes will be given in Portuguese, studets will use the office hours for follow-up). The group laboratory component of the final mark will be kept.

Classification improvement

Through the “Recurso” exam, which might include a laboratory component.


Office hours M Helena Braga: Monday, 10h00-12h00, office H314.

It is expected that students dedicate 4 to 6 hours of weekly study to the course, further to the normal attendance to the theoretical and recitation lectures.

The student who can not attend one or two tests for whatever reason can get approval in the final extra exam. The final grade at UC will be the average of the exam with the laboratorial component.

Any fraud attempt during the distributed evaluation process will lead to loss of frequency and non-admission to the recurso exam.

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