Advanced knowledge of the theory of the electromagnetic field, including properties of
dielectric and magnetic materials, propagation of electromagnetic waves,
relativistic formulation of the electromagnetism, retarded potentials and radiation.
Mastery of advanced techniques for solving problems of Electromagnetism, including the relevant numerical methods.
1 Electrostatics. Multipolar expansion. Dipole and quadrupole. Energy.
2 Dielectrics. Polarizability. Clausius-Mossotti and Langevin laws.
3 Laplace and Poisson eqs. Image method. Solution of Laplace eq (Cartesian, cylindrical and spherical coordinates). Numerical methods for Laplace eq.
4 Magnetic energy. Magnetic multipoles. Dipolar field and vector potential.
5 Paramagnetism, diamagnetism and ferromagnetism. Hysteresis.
6 Electrodynamics: Vector and Poynting's theorem.
7 EM wave propagation in materials and conductive media. Guided waves.
8 Relativity and electromagnetism. Electromagnetic tensor. Covariant form of Maxwell eqs and continuity. Lorentz transformations for the EM field. Covariant expression of the Lorentz force. Covariant eqs for scalar and vector potentials. Gauge transformations.
9 Retarded potentials. Lienart-Wiechert potentials. EM field due to accelerated charges. Radiated power. Dipole electric and magnetic radiation.
General Physics II, Electromagnetism I, Mathematical Analysis III
Generic skills to reach
. Competence in analysis and synthesis; . Competence to solve problems; . Critical thinking; . Adaptability to new situations; . Competence in applying theoretical knowledge in practice; . Competence in oral and written communication; . Computer Skills for the scope of the study; . Competence for working in group; . Competence in autonomous learning; (by decreasing order of importance)
Teaching hours per semester
total of teaching hours
A frequência funciona como exame final e permite a dispensa deste %
The midterm exam can be used instead of the final exam %
Bibliography of reference
Bibliografia principal / Principal bibliography:
- Brito, L., Fiolhais, M., Providência C., Campo Electromagnético, McGraw-Hill, Lisboa, 1999.
- Griffiths, D., Introduction to Electrodynamics - 3rd Edition ? Prentice-Hall, New Jersey, 1999.
- Feynman, R., Leighton R. e Sands, M., Lectures on Physics volume II, Addison-Wesley, 1963.
- Jackson, J. D., Classical Electrodynamics, John Wiley and Sons, New York, 1975.
- Lorrain, P. Corson, D. E Lorrain, F., Electromagnetic Fields and Waves (3rd edition) Freeman and Company, New York, 1988.
- Wangsness, R. K., Electromagnetic Fields (2nd edition), John Wiley and Sons, New York, 1979.
Conventional lectures with constant references to physical systems whose description might grab the attention of the students. We emphasize everyday situations that can be explained using the physical concepts included in the syllabus. In this way we try to illustrate the usefulness and the importance of the electromagnetism as a stuctural discipline in scientific and thechnological courses.
Uso de computadores para trabalhos de simulação computacional (resolução da equação de Laplace, traçado de linhas de campo).