Electromagnetism II
Keywords |
Classification |
Keyword |
OFICIAL |
Physics |
Instance: 2019/2020 - 2S
Cycles of Study/Courses
Teaching language
Suitable for English-speaking students
Objectives
Deepen knowledge of the fundamental phenomena and principles of electromagnetism. Apply differential and integral calculus techniques to formulate problems. Integrate knowledge obtained in other courses for a comprehensive approach of the physical phenomena. Describe physical situations involving the issues addressed in the course, to solve problems, and to establish links to experimental and technological situations. Present and describe relevant applications of Electromagnetism in science and technology. Prepare the students to advanced courses.
Learning outcomes and competences
The students should demonstrate good understanding of fundamental concepts of Electrodynamics.
Working method
Presencial
Pre-requirements (prior knowledge) and co-requirements (common knowledge)
Good basic knowledge of Electromagnetism and Mechanics, taught in the first year of the course.
Knowledge about vector calculus.
Program
1. Time-dependent electric and magnetic fields. Magnetic induction. Self and mutual inductance. Magnetic energy, forces and moments. Electric induction. Maxwell's Laws. Energy and momentum of the electromagnetic field.
2. Differential formulation of the electrostatic equations in vacuum. Poisson and Laplace equations; solutions in Cartesian, spherical and cylindrical coordinates. Method of images. Electrostatics in dielectrics; boundary problems. Electrostatic energy, forces and moments. Scalar magnetic potential.
3. Multipolar expansion of the scalar potential and vector potential.
4. Maxwell equation in matter. Linear and isotropic dielectrics and magnetic media. Polarization and magnetization. Boundary conditions.
5. Time-dependent electric and magnetic fields. Magnetic induction. Self and mutual inductance. Magnetic energy, forces and moments. Electric induction.
6. Electromagnetic waves. Propagation in vacuum. Polarization. Energy and momentum of the monochromatic plane waves in dielectrics and conducting media. Superposition of waves. Dispersion. Spherical waves. Plane waves and dielectric interfaces, Snell's and Fresnel laws. Diffraction. Geometrical optics limit.
Mandatory literature
Griffiths David J.;
Introduction to electrodynamics. ISBN: 0-13-919960-8
Complementary Bibliography
Reitz John R.;
Foundations of electromagnetic theory. ISBN: 0201063328 :
Jackson John David;
Classical electrodynamics. ISBN: 0-471-30932-X
Feynman Richard Phillips;
The Feynman lectures on physics. ISBN: 0-8053-9047-2 (Vol. II)
Teaching methods and learning activities
Lectures used to present and discuss the referred topics, using examples to help understanding concepts, laws and calculation techniques. Problem classes used to solve problems and exercises.
Evaluation Type
Distributed evaluation without final exam
Assessment Components
designation |
Weight (%) |
Teste |
75,00 |
Trabalho escrito |
25,00 |
Total: |
100,00 |
Amount of time allocated to each course unit
designation |
Time (hours) |
Estudo autónomo |
106,00 |
Frequência das aulas |
56,00 |
Total: |
162,00 |
Eligibility for exams
Factors To attain frequency at Electromagnetism II:
Presense in Problem solving lectures (TP):
- There will be a presence record. Students exceding the limit of absences (1/4 of given TP lectures) will be excluded from "frequencia".
- Delivering class's problems.The non delivery of 2/3 of the problems implies loosing "frequência".
Those students that have obtained "frequência" in the scholar year of 2018/19 may request TP classes dismissal. The request should be made until the end of the week preceeding the 1st lecture, by e-mail to the Responsible Lecturer.
Nevertheless, students must attend the two envisaged tests.
Calculation formula of final grade
Evaluation considers:
two tests [75%]
TP's Problems [25%].
Test component:
- intercalar test.
- second test to be held at Normal Exam date.
For approval purposes, a global mark for each test greater than 7 over 20.
Both tests will have the same contribution for the assessemtn of this component.
In case
failure, the student has the possibility of
attending the exam at the "
Exame de Recurso" date. This exam contributes to the 75% of the course final mark.
The
Test component mark can be improved by attending the final proof at
Exame de Recurso.
TP's Problems: Each student will have deliver three individual written work produced at the TP classes, 3 times at random dates during the term. For the final mark, the two best answers will be consider, with the same weight for the mar of this component.
Final grade formula:nota final = 0.75 x (mark teste component) + 0.25 x (mark
TP's Problems)
To pass, the final mark must have equal or greater than 10 over 20.
Classification improvement
The
Test component mark can be improved by final exam in "Epoca de Recurso"