1 - Coulomb's Law
1.1 Electromagnetic Interaction.
1.2 Electric Charge. Charge is quantized. Charge is conserved. The Coulomb's Law
1.3 The electrical field E, definition and graphical representation: Electric Field lines.
1.4 The superposition principle. The Electric field due to a system of point charges.
1.5 Charge density. The Electric field due to a continuous charge distribution.
2 - Gauss's Law
2.1 The electric Flux
2.2 Gaussian surfaces, Gauss's Law for Electricity
2.3 Application of the Gauss's Law for the calculation of electric fields.
2.4 Charge distributions of sufficient symmetry.
3 - Electric Potential
3.1 Line integral of E. Electrostatic potential energy.
3.2 Electric Potential (Voltage), definition and graphical representation: Equipotential Surfaces
3.3 Energy of a point charge arrangement.
3.4 Electrical dipole moment. An electric dipole in a E field.
4 - Electric field in materials: Conductors
4.1 Conductors and Insulators
4.2 Conductors in Electrostatic Equilibrium
4.3 Distribution of the load in conductors in equilibrium.
4.4 Faraday cages, Shielding.
5 - Electric field in materials: Dielectrics.
5.1 Capacity and capacitors. Association of Capacitors
5.2 Charging a Capacitor. Energy Stored on a Capacitor
5.3 Dielectrics. Dielectric Susceptibility and Permittivity
5.4 Polarization P and electric displacement D vectors. Generalization of Gauss's law
5.5 Energy density related to electric field. The energy in problems with dielectrics.
6 - Electric Current
6.1 The electric Current: Intensity and Density of current
6.2 Ohm's law, conductivity and resistance
6.3 Power dissipated in a conductor. Joule's Law
6.4 Electromotive force (EMF)
7 - The Magnetic Field. Magnetic forces
7.1 The magnetic field B. Gauss's law for magnetism.
7.2 The Lorentz force. The motion of electrically charged particles in a Magnetic Field
7.3 Force on a current-carrying conductor in an external Magnetic field.
7.4 Magnetic dipole moment. Effects of field B on a magnetic dipole.
8 - Magnetic field sources
8.1 The magnetic fields produced by currents. The Biot-Savart Law
8.2 Ampère circuitla Law. The calculation of magnetic field of some current-carrying systems
8.3 Magnetism in matter, Magnetization currents, vector magnetization M and vector H.
8.4 Generalization of Ampere's Law
8.5 Magnetic Materials. Introduction to Ferromagnetism
9 - Electromagnetic Induction. Maxwell's Equations
9.1 The Faraday's Law.
9.2 Motional Electromotive force (EMF)
9.3 EMF induced by temporal variation of a magnetic field.
9.4 Some practical applications. Generators, Motors, Eddy Currents.
9.4 Autoinductance and Mutual Inductance. Inductors.
9.5 Energy stored in an inductor. Energy density related to magnetic field
9.6 The Maxwell displacement current. The Ampère-Maxwell's Law
9.7 The Maxwell equations in integral form
9.8 Study of the R + C + L circuits
9.9 Maxwell Equations. Electromagnetic waves