Guia docente 2020_21 Escola de Enxeñaría Aeronáutica e do Espazo

Contents

Topic	Sub-topic
Presentation of the course and historical introduction	Historical introduction.
Scalar and vector fields	Coordinate systems in two and three dimensions. Vectorial operators. Gradient of a scalar. Circulation of a vector. Flow. Divergence. Theorem of the divergence. Rotational. Stokes theorem.
Electrostatics	Charge and charge density. Coulomb's law. Electrostatic field. Flow of the electrostatic field. Gauss' Law. Electrostatic potential. Equations of Poisson and Laplace. Energy of the electrostatic field. Multipolar expansion of the potential. Dipoles. Conductors and dielectrics. Electrostatics in presence of matter. Capacitors.
Electrical currents and magnetostatics	Current and current density. Continuity equation. Ohm's law. Conductivity and resistivity. Introduction to the magnetic field. Force between currents. Magnetic induction. Lorentz's force. Biot and Savart law. Magnetic flux. Ampère's circuital law. Vector potential. Multipolar expansion of the vector potential. Magnetic dipoles. Magnetic dipolar moment. Magnetism in presence of matter. Magnetic response of the materials. Magnetic field. Hysteresis cycles.
Electrical circuits	Combination of resistors. Electromotive force. Electric generators. Electrical circuits. Electric power and energy. Voltage and current sources. Measure of voltages, currents and resistors. Kirchhoff's laws and circuits analysis. Thévenin and Norton theorems.
Introduction the the Electrodynamics	Faraday's induction law. Inductance. Generators, engines and transformers. Magnetic energy. Displacement current. Maxwell's equations. Systems of units.
Alternating current	Capacitive and inductive reactances. Impedance. Half and effective power. Complex magnitudes. RLC series and parallel circuits. Resonance. Quality factor. Apparent and reactive power. Transitory states.
Introduction to the electromagnetic waves	Types of waves. Energy transported by a wave. Huygens' principle. Superposition of waves of different frequency. Phase and group velocities. Equation of electromagnetic waves. Hertz's experiment. Electromagnetic spectrum. Propagation of electromagnetic waves. Electromagnetic energy. Poynting vector. Polarization. Reflection and refraction. Interference and diffraction.
Introduction to the Thermodynamics	Thermal equilibrium. Temperature. Heat and work. Internal energy. First Principle. Heat capacity. Reversible and irreversible processes. Thermal machines. Second principle. Thermodynamic cycles. Carnot's theorem. Entropy. State equation. Ideal gases.
Laboratory experiences	Measure of basic electromagnetic properties with multimeter and oscilloscope. Measure of the capacity of a capacitor. Measure of Laplace's force. Helmholtz coils. Measure of the terrestrial magnetic field. Magnetic dipole. Electromagnetic induction. Circuits.