Electromagnetism II

Recommended Prerequisites

General Physics II, Electromagnetism I, Mathematical Analysis III.

Teaching Methods

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.

Learning Outcomes

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.

Work Placement(s)

No

Syllabus

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.

Head Lecturer(s)

Pedro Almeida Vieira Alberto

Assessment Methods

Assessment
Exam: 100.0%

Bibliography

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.

Bibliografia complementar / Complementar bibliography:

- 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.