Capacitive and inductive circuits and components

Acquire the concepts of electrostatics: electric force, electric field, electric potential; magnetostatics: magnetic force, magnetic field; induction: induced electric force, inductance and apply them to electrical engineering.

- Calculate the action of electrical forces on electric charges

- Calculate the electric field created by charge distributions.

- Apply Gauss's theorem to simple examples.

- Calculate potential energy and electrostatic potential.

- Understand the concept of capacitance and calculate capacitor capacities

- Calculate the electrical energy of simple systems

- Calculate the action of magnetic forces on a charged particle.

- Calculate the magnetic field created by current density distributions.

- Apply Ampère's theorem to simple examples.

- Understanding magnetic induction and calculating inductances

- Calculate the magnetic energy of simple systems

Prerequisites :

Knowledge of vector calculus, cylindrical and spherical coordinate systems, differential operators, basic trigonometric functions.

Recommended prerequisites :

Knowledge of the fundamental principles of mechanics (conservation of energy, fundamental principle of dynamics).

Capacitive Circuits

I- Notion of electric charge - Coulomb's law - Electric force.

II- Electric field - Field lines - Electrostatic dipole in an external field.

III- Electrical potential - Equipotential - Electrostatic influence and conductor equilibrium. Determining E from potential.

IV- Electric flux - Gauss's theorem.

V- Capacitor: dielectric - capacitance - energy - capacitor grouping. Electrical energy

 Inductive Circuits

I- Magnetic forces - Effects of the magnetic field on a charge, on a current, Hall effect.

II- Magnetic field created by permanent currents: Biot and Savart's law, calculation of the field of a simple object (wire, coil).

III- Ampère's theorem, calculating the field of a wire, coil or solenoid. Applications to Helmoltz coils and coaxial cable.

IV- Electromagnetic induction: magnetic field flux, Faraday's Law, Lenz's Law, inductance, mutual inductance and self-induction. Magnetic energy.