Capacitive and inductive circuits and components

Acquire knowledge of electrostatics: electric force, electric field, electric potential; magnetostatics: magnetic force, magnetic field; induction: induced electric force, inductance, and apply this knowledge to electrical engineering applications.

- Calculate the action of electric 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.

- Understand magnetic induction and calculate inductances

- Calculate the magnetic energy of simple systems

Required prerequisites:

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

Recommended prerequisites:

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

Capacitive Circuits

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

II- Electric Field – Field Lines – Electrostatic Dipole in an External Field.

III- Electric Potential – Equipotential – Electrostatic Influence and Equilibrium of Conductors. Determination of E from Potential.

IV- Electric flux – Gauss's theorem.

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

 Inductive Circuits

I- Magnetic forces – Effects of magnetic fields on charges and currents, Hall effect.

II- Magnetic field created by permanent currents: Biot-Savart law, calculation of simple object fields (wire, coil).

III- Ampère's theorem, field calculation for a wire, coil, solenoid. Applications to Helmholtz coils and coaxial cable.

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