### Teachings

Select Academic Year:     2017/2018 2018/2019 2019/2020 2020/2021 2021/2022 2022/2023
Professor
VINCENZO FIORENTINI (Tit.)
Period
Second Semester
Teaching style
Convenzionale
Lingua Insegnamento
ITALIANO

Informazioni aggiuntive

Course Curriculum CFU Length(h)
[70/89]  ELECTRICAL, ELECTRONIC AND COMPUTER ENGINEERING [89/10 - Ord. 2016]  ELETTRICA 7 70
[70/89]  ELECTRICAL, ELECTRONIC AND COMPUTER ENGINEERING [89/20 - Ord. 2016]  ELETTRONICA 7 70
[70/89]  ELECTRICAL, ELECTRONIC AND COMPUTER ENGINEERING [89/30 - Ord. 2016]  INFORMATICA 7 70

### Objectives

Knowledge of electrostatics and electrodynamics, and ability to solve practical problems involving DC and AC circuits, electromagnets, etc.

### Prerequisites

Elements of calculus (derivatives, integrals, simple differential equations) and vector calculus. Elementary mechanics of point-like and rigid bodies. All the necessary notions will be recalled in class. Relevant material will be posted on the course web site.

### Contents

1 - Electrostatics

Electric charge. Conductors and insulators. Coulomb’s law; electric field and field lines. Field generated by charge distributions. Flux of the electric field. Gauss’s law and first Maxwell equation. Applications to various charge distributions. Electrostatic potential and potential energy. Equipotential surfaces. Potential generated by charge distributions; potential and field in a conductor. Field-potential relationship and second Maxwell equation.

2 - Capacitors

Capacity and capacitors. Flat, spherical, and cylindrical capacitor. Capacitors in series and in parallel. Energy density associated to the field in a capacitor. Capacitor with a dielectric medium. Polarization and dielectric response. Dielectric constant. Energy density in a dielectric-filled capacitor.

3 - Circuits

Current and current density. Microscopic model of conduction in materials. Resistance and conductance. Ohm’s law. Power, Joule effect and applications. Conductors, insulators, semiconductors. Electromotive force. Resistors in series e in parallel. Kirchhoff’s rules for circuits. RC circuits and their properties.

4 - Magnetic field in vacuum

Magnetic force and magnetic field. Solenoidal field and third Maxwell equation. Magnetic force on a current-carrying wire. Mechanical moment on a loop. Magnetic dipole moment generated by a current. Biot-Savart’s and Ampere’s laws. Field generated by an infinite wire, an infinite solenoid, and a toroid. Force between two parallel wires. Field-current relations and fourth Maxwell equation (Ampere version).

5 - Electromagnetic induction

Faraday-Lenz’s law, and completion of second Maxwell equation. Electromotive force in a moving loop; principle of the DC electric motor. Rotating loop and principle of the AC motor. Rowland’s disk and electromagnetic brakes. Mutual induction and self-induction. RL circuit: magnetic energy density.  LC circuit and oscillations. RLC circuit: damped oscillations and critical damping. RLC circuit with AC source: reactance, inductance, resonance; phasor formalism. Transformer, qualitatively.

6 - Maxwell equations and electromagnetic waves

Displacement current and Ampere-Maxwell’s law; completion of fourth Maxwell equation. Integral and differential form of Maxwell’s equations in vacuum. Derivation of the existence of electromagnetic waves.

Electromagnetic waves: properties, spectrum, propagation, generation. Transported energy, Poynting vector, intensity. Speed of light in vacuum and in matter. Radiation pressure. The origin of magnetic forces from electrostatics and relativity.

### Teaching Methods

Lectures and recitations, approximately in a 50:20 ratio. Recitations are ideally split in 3 parts: demonstration exercise, exercise solved by students, correction. Texts and solutions are provided on the web site.

### Verification of learning

Written exam, about 10 questions, duration 3 hours. In AY 2018/19 there will be partial exams during class, corresponding to about one third to a half of the final grade.

### Texts

- The main text is a pdf writeup, available on the web site, and constantly under correction and extension.

-Textbooks: the writeup. Alternative views can be found on any textbook at the engineering-Halliday-Resnick level (e.g. H-R-Walker, Fundamentals of physics, 9th edition), and on
- D. Fleisch, Student's Guide to Maxwell's equations (Cambridge UP)
- D. Fleisch, A Student’s Guide to Vectors and Tensors (Cambridge UP)

Exercise books:
exercises (many are solved) are available on the web site. Additional useful texts may be Mencuccini-Silvestrini, Esercizi di Fisica 2, Ambrosiana-Zanichelli; Alippi-Bettucci-Germano, Fisica Generale, esercizi risolti, Esculapio.