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# Electromagnetism and Optics

### Presentation

Understand the electrical and magnetic phenomena that are relevant in the context of Electrical and Aerospace Engineering in order to enable students to learn, interpret and apply the Maxwell equations as well as the magnetic circuit analysis methodologies.

Understand the properties of light, the phenomena associated with the optical images and the interference and diffraction processes.

### Programme

Science in Aerospace Engineering

| Semestral | 5

### Year | Type of course unit | Language

2 |Mandatory |Português

ULP1393-13534

Algebra
Math analysis
Physics

Não

### Syllabus

• Electrostatics:
• Coulomb law. Superposition principle. Electric field. Electrical potential. Gauss law. Divergence and rotational of the electric field.
• Magnetostatics:
• Lorentz Force. Biot-Savart law. Divergence and rotational of the magnetic field. Magnetic induction. Ampére law.
• Magnetostatics in materials:
• Magnetic field. Boundary conditions for magnetic fields. Self-induction coefficient. Magnetic energy.
• Electromagnetic field:
• Induction law of Faraday. Maxwell equations in the integral form. Boundary conditions for electromagnetic fields. Analysis of magnetic circuits.

### Objectives

Knowing and applying the Coulomb¿s and the Gauss's law to calculate the electric field caused by a set of point charges or charge distributions and analyze their behavior depending on the distance to the field source;

Understanding the concepts and physical meaning of divergence and rotational;

To apply the law of Biot-Savart and Ampere's law to determine magnetic fields caused by current flow in conductive materials;

Understanding the behavior of magnetic fields depending on the distance to the field source;

Understanding and applying the law of Faraday induction to the calculation of magnetic fields;

Understanding and applying the methodologies of analysis of magnetic circuits with different geometries;

### Teaching methodologies and assessment

The course offers sessions divided into theoretical and practical sessions.

In the theoretical sessions, more than the lecture method, it is intend to attract and foster the spirit of intervention by exploiting the theoretical development of applications, which require a chain of reasoning without resorting to paper or programming.

In the practical sessions exercises will be released, which should generate optimized solutions.

According to the ULP evaluation rules, the student may choose between continuous or final evaluation:

Continuous:

- Practical work: 30%

- Exam: 70%

(Minimum grade of 8/20 in each element)

Final:

- Exam: 100%

### References

• Tipler, P. A., Mosca, G. (2000), Física, Volume 2: Eletricidade e Magnetismo, ótica, 5ª Edição, LTC.
• Ulaby, F. T. (2005, tradução 2007), Eletromagnetismo para Engenheiros, Bookman
• Bansal, R. (2006), Fundamentals of Engineering Electromagnetics, CRC Press.

### Office Hours

 Nome do docente Horário de atendimento Sala Filipe Joel Soares 2ªF 10:30 - 11:30h N/A