Electromagnetism and Circuit theory (Circuit Theory)

The expected outcomes for this course are: - Knowledge of the basic laws governing electrical circuits. - Knowledge of analysis methods for electrical circuits. - Ability to compute and explain the responses of electrical circuits. - Ability to use automatic circuit analysis software tools, such as SPICE.

Electromagnetism and Circuit theory (Physics II)

The goal is the understanding of the basic principles, the physicallaws and the experimental evidences underpinning the classical electromagnetism as described by the Maxwell’s equations (both in integral and differential form). Electrostatics, magnetostatics, induction and wave phenomena are treated. Expected outcomes: the skills acquired by the student consist in the application of this knowledge to the solution of problems concerning electromagnetic phenomena in stationary and time-dependent regimes and the properties of electromagnetic radiation. The knowledge and skills acquired are preparatory to subsequent courses on the foundations and technologies of information and communication engineering (ICT).

Electromagnetism and Circuit theory (Circuit Theory)

Physics: power and energy, basic electromagnetics. Mathematics: linear algebra and matrix analysis, first-order linear differential equations, algebra of complex numbers.

Electromagnetism and Circuit theory (Physics II)

Understanding the course topics requires mastery of the mathematical tools introduced in Mathematical Analysis I and II and in Linear Algebra and Geometry, especially with the integral and differential calculus of the functions of one or more variables, algebra and vector calculus. Tools and concepts learned in the teaching of Physics I are a fundamental prerequisite.

Electromagnetism and Circuit theory (Circuit Theory)

The course is structured in two parts: a "basic" part (2 credits) and a "core" part (5 credits). 1. Basic part (2 credits) Lumped circuits; voltage, current and power. Reference directions. Kirchhoff's laws. Tellegen's theorem. Basic circuit elements. Series and Parallel connection of the resistive one-port elements. Current and Voltage division rule. Millman's theorem. Maximum power transfer. Nodal Analysis. 2. Core part (5 credits) 2.a. General resistive circuits (1.5 credits). Dependent sources, ideal operational amplifier. Network theorems: substitution theorem, Thevenin and Norton theorem, superposition theorem. 2.b Dynamic circuits (1.5 credits) Linear capacitors and inductors, series and parallel connection of inductors and capacitors. First order RC and RL circuits with constant sources and ideal switches. Second order circuits. Formulation and solution of the state equations. 2.c Sinusoidal steady state (2 credits) Circuit equations in sinusoidal steady state (AC), symbolic analysis and phasors, AC power. Network functions: impedance, admittance and transfer functions. Bode plots.

Electromagnetism and Circuit theory (Physics II)

Stationary electric fields (~10 hours): Coulomb's law, electric field and potential, motion of a charge in a uniform electric field. Discrete and continuous charge distributions. Electric dipole, force and torque on an electric dipole in an electric field. Gauss' law for the electric field. Capacity and capacitors. Energy of the electric field. Conductivity, Ohm's law, Joule's effect. Stationary magnetic fields (~15 hours) : magnetic force on a moving charge, Lorentz's force, motion of a charge in a uniform magnetic field. Magnetic force on electric currents, magnetic torque on rectangular and any shape circuits, magnetic dipole. Sources of magnetic field: Ampère-Laplace's law, application to rectilinear (Biot-Savart's law, forces between currents) and circular loops. Infinite and finite solenoids. Ampère’s law. Gauss' law for the magnetic field. Maxwell’s equations in differential and integral forms for static fields. Time-dependent fields (~15hours): Electromagnetic induction, Faraday's law, relative motion of conductor and magnetic field. Self-induction. Coupled circuits, mutual-induction. Energy of the magnetic field. Principle of conservation of charge, Ampère-Maxwell's law. Maxwell’s equations in differential and integral forms for time-dependent fields in vacuum. Electromagnetic waves (10 hours) Propagation of waves, a summary of elastic waves. Electromagnetic waves and wave equation (from Maxwell's equations). Energy, momentum, Poynting vector. Radiation pressure. Polarization of electromagnetic waves; oscillating electric dipole. Electromagnetic spectrum.

Electromagnetism and Circuit theory (Circuit Theory)

Electromagnetism and Circuit theory (Physics II)

Electromagnetism and Circuit theory (Circuit Theory)

The course is organized into lectures and practical classes. Practical classes (approximately 30% of each credit) are aimed at applying the general circuit analysis methods presented during the lectures. During practical classis, active participation of the students is required. A few hours are dedicated to a basic introduction to computer-based circuit simulation programs (SPICE).

Electromagnetism and Circuit theory (Physics II)

The course (5 credits) consists of class lectures (37.5 hours) and exercises (12.5 hours).

Electromagnetism and Circuit theory (Circuit Theory)

Reference textbook: Clayton R. Paul, Fundamentals of Electric Circuit Analysis, Wiley 2001. Charles K Alexander and Matthew Sadiku, Fundamentals of Electric Circuits, 6Th Edition, McGraw-Hill Education. M. Biey, M. Bonnin, F. Corinto, Esercitazioni di elettrotecnica, CLUT, Torino, 2012. M. Biey, Spice e PSpice: introduzione all'uso, CLUT, Torino, 2001. Additional texts: Charles A. Desoer and Ernest S. Kuh, Basic circuit theory. McGraw-Hill, 1969. R. Perfetti, Circuiti elettrici, Zanichelli, Bologna, 2003. Besides the above references, all learning material, including an exercise book, are available for download from the course web page. The exercise book is the reference material for all practical classes. The course web page is the official communication channel of the course.

Electromagnetism and Circuit theory (Physics II)

Reference text for lectures and exercises: P. Mazzoldi, M. Nigro, C. Voci, Fisica, Elettromagnetismo - Onde, vol. II, EdiSES, Napoli, 2010. University Physics with Modern Physics -Young and Freedman Physics for Scientists and Engineers with Modern Physics -D.C. Giancoli Fundamental University Physics -Vol. II ; Alonso-Finn Beside the many problems/exercises contained in the reference text indicated above, supplemental material as well as text and solutions of the classroom exercises will be made available online.

Electromagnetism and Circuit theory (Circuit Theory)

Lecture slides; Practice book; Exercises; Exercise with solutions ; Video lectures (previous years);

Electromagnetism and Circuit theory (Physics II)

Lecture slides; Text book; Exercise with solutions ; Video lectures (previous years); Simulation tools;

Electromagnetism and Circuit theory (Circuit Theory)

Exam: Written test; Computer-based written test in class using POLITO platform;

Electromagnetism and Circuit theory (Physics II)

Exam: Compulsory oral exam; Computer-based written test in class using POLITO platform;

Electromagnetism and Circuit theory (Circuit Theory)

Written exam; written exam carried out on a PC using the University platform. The examination for the course "Electromagnetism and Circuit Theory" (12 ECTS credits) is intended to assess the knowledge acquired by the student in both the “Physics II” module (5 ECTS credits) and the “Electrical Engineering” module (7 ECTS credits). It is not possible to take the examination for only one module in any examination session. Students who intend to take the examination for "Electromagnetism and Circuit Theory" (12 ECTS credits) must therefore register for both the Physics II and Electrical Engineering modules in each examination session. ************************************************************************* The examination is structured into two parts: - the part related to the Physics II module; - the part related to the Electrical Engineering module. Only students who are duly registered according to the procedure provided on the Teaching Portal may take the examination. - The part related to the Physics II module includes: - a PC-based test; - a written problem/question. The PC-based test includes 15 multiple-choice questions on the contents of the Physics II module and lasts 30 minutes. Each answer is graded as follows: correct = 2 points; wrong = -0.66 points; no answer = 0 points. The score V_TF of the PC-based test is obtained by summing the points assigned to each multiple-choice question. The maximum value of V_TF is 30 points. ** Only students with V_TF at least equal to 14.5 points may access the rest of the examination. ** The written problem/question on the contents of the Physics II module lasts 30 minutes and is graded up to a maximum of 5 points. The maximum score V_F for this problem/question is 5 points. - The part related to the Electrical Engineering module lasts 90 minutes and includes: - 6 short multiple-choice exercises on the Electrical Engineering module; - 1 problem on the contents of the Electrical Engineering module. The 6 short multiple-choice exercises consist of 4 exercises worth 2 points each and 2 exercises worth 3 points each. Each short exercise is graded as follows: correct answer = points assigned to the exercise; wrong answer = -1/3 of the points assigned to the exercise; no answer = 0 points. The score V_E1 for the 6 short Electrical Engineering exercises is obtained by summing the points assigned to each short exercise. The maximum value of V_E1 is 14 points. The problem on the contents of the Electrical Engineering module is graded up to a maximum of 5 points. The maximum score V_E2 for this problem is 5 points. The overall examination score V is obtained by summing the points according to the following formula: V = 0.3*V_TF + V_F + V_E1 + V_E2 The maximum value of V is 33 points, of which, based on the credits assigned to each module of the course "Electromagnetism and Circuit Theory" (12 ECTS credits), 14 points refer to Physics II (5 ECTS credits) and 19 points refer to Electrical Engineering (7 ECTS credits). The examination for the course "Electromagnetism and Circuit Theory" is considered passed if V is greater than or equal to 18 points. The grade recorded for the examination of "Electromagnetism and Circuit Theory" is: - the rounding of V to the nearest integer if V is less than 29.5; - 30/30 if V is greater than or equal to 29.5 and less than 31.5; - 30L/30 if V is greater than or equal to 31.5. Registration is mandatory in order to take the examination and must be completed on the Teaching Portal, strictly following the procedures and deadlines established by the Teaching Office. During the examination, students are not allowed to use books, notes, or any other teaching material related to the course syllabus. A calculator will be made available on the LAIB computers, or the use of a scientific calculator will be allowed.

Electromagnetism and Circuit theory (Physics II)

Exam: Compulsory oral exam; Written exam in the classroom via PC using the university platform; Type of exam: Computer test; Compulsory oral exam; Reservation required. The exam evaluates the knowledge and understanding of the topics listed in the official program, together with their application and the solution of numerical and symbolic problems. Reservations are required in order to take the exam and must be made through the University Portal, strictly respecting the procedures and deadlines established by the Segreteria Didattica. During the tests, it is not allowed to use books, notes or other didactic material related to the course program. The use of personal calculators is not allowed. The use of the calculator on the LAIB computers is available. The exam is divided into the following parts: 1) multiple choice test, lasting half an hour, with 15 questions relating to both theoretical and applicative topics. The test is passed with a score of at least 15/30. The maximum score achievable in the test is 30/30. The test grade is obtained by assigning 2 points to each correct answer; 0 points for each answer not given; -2/3 to each wrong answer. 2) oral exam, which can only be accessed by students who have passed the multiple choice test referred to in point 1). The oral test generally consists of two questions. An application type question (solution of a problem) and a theoretical type question. The maximum grade achievable after the oral exam is obtained by also taking into account the test grade and is equal to 30/30. Exceptionally, a grade of 30 cum laude will also be assigned. The oral exam must be taken in the same session in which the test was passed (otherwise the test must be repeated), and may include the discussion of the test. The Electromagnetics exam is passed with an overall mark (test + oral) equal to 18/30. Important: A single final mark is registered for the Electromagnetics and Circuits course. The grade will be determined by a weighted average of the grade obtained in either module (ie Electromagnetics and Circuits). The examination of the two modules must be taken in the same academic year.