Electrostatics & Magnetostatics

Formation ECAM LaSalle Ingénieur spécialité Mécanique et Génie Electrique (ENGINEERING PROGRAM)

General Data
Academic program	Formation ECAM LaSalle Ingénieur spécialité Mécanique et Génie Electrique (ENGINEERING PROGRAM)			:
Type d'EC	Classes (LIIEEng04EElectroMagnetos)
Lectures : 18h00 Tutorials : 24h00 Total duration : 84h00	Status :	Period : Semester 4	Education language : English

Learning Outcomes
On completion of the course, the student is expected to be able to do the following: 1. Identify the origin of the electric field. 2. Define the Coulomb's law for the charge-carrying particles. 3. Solve the electrical force and field problems by using vector algebra. 4. Define the Gauss' law to analyse the electrical field in charge carrying elements in different dimensions. 5. Explain the voltage potential by formulating the Gauss' law for a certain trajectory. 6. Define the magnetic field due to the moving charge-carrying particles. 7. Apply Biot-Savart's law to calculate the magnetic field. 8. Explain Ampére's law to calculate the magnetic field originated from a current-carrying element in different dimensions and geometries. 9. Invent the voltage induction from Faraday-Lenz's law. 10. Formulate Maxwell's equations.

Learning Outcomes

On completion of the course, the student is expected to be able to do the following:
1. Identify the origin of the electric field.
2. Define the Coulomb's law for the charge-carrying particles.
3. Solve the electrical force and field problems by using vector algebra.
4. Define the Gauss' law to analyse the electrical field in charge carrying elements in different dimensions.
5. Explain the voltage potential by formulating the Gauss' law for a certain trajectory.
6. Define the magnetic field due to the moving charge-carrying particles.
7. Apply Biot-Savart's law to calculate the magnetic field.
8. Explain Ampére's law to calculate the magnetic field originated from a current-carrying element in different dimensions and geometries.
9. Invent the voltage induction from Faraday-Lenz's law.
10. Formulate Maxwell's equations.

Content
1. Introduction - Elements of vector analysis - Scalar and vector fields - Derivatives and integrals - Cartesien, cylindirical and spherical coordinate systems. 2. Electrostatics - Electrical force (Coulomb's law) - Superposition principle, Curie's theorem - Gauss's law used to express electric field in simple situations) - Electric potential and work, conservative field - Electrostatics in metals (emphasizing the study of capacitors) 3. Magnetostatics - Magnets (historical background) - Magnetic field (Biot-Savart law) due to a line, a loop. - Ampère's circuital law (used to express magnetic field in simple situations) - Magnetic force (Lorentz) - Ampère's force law and magnetic torque. Their application to electrical machines. - Faraday's law and Lenz's law. Their application to alternators. - Introduction to Maxwell's equations

Content

1. Introduction
- Elements of vector analysis
- Scalar and vector fields
- Derivatives and integrals
- Cartesien, cylindirical and spherical coordinate systems.
2. Electrostatics
- Electrical force (Coulomb's law)
- Superposition principle, Curie's theorem
- Gauss's law used to express electric field in simple situations)
- Electric potential and work, conservative field
- Electrostatics in metals (emphasizing the study of capacitors)
3. Magnetostatics
- Magnets (historical background)
- Magnetic field (Biot-Savart law) due to a line, a loop.
- Ampère's circuital law (used to express magnetic field in simple situations)
- Magnetic force (Lorentz)
- Ampère's force law and magnetic torque. Their application to electrical machines.
- Faraday's law and Lenz's law. Their application to alternators.
- Introduction to Maxwell's equations

Pre-requisites / co-requisites
1. Mathematics for Engineers 1-3 - Dot and cross products of vectors - Derivative and anti-derivative of multiple variable functions - Coordinate systems (Cartesian, polar, cylindrical & spherical). 2. Physics - Electric potential and current - Force, work and energy theorems - Torques

Bibliography
Essential resources: -David Jeffrey Griffiths (2024), Introduction to electrodynamics, 5th edition, Cambridge University Press. Recommended resources: - Purcell, E. M., & Morin, D. J. (2013). Electricity and Magnetism. Cambridge University Press. -Edminister, J. (2013). Schaum's Outline of Electromagnetics, 4th Edition. McGraw Hill Professional.

Assessment(s)
N°	Nature	Coefficient	Observable objectives
1	Midterm Exam 1 - Validate the technical skills on electric field and force calculations while taking into consideration the usual calculation methods, rules and measure techniques.	0,25	1-5
2	Midterm Exam 2 - Validate the technical skills magnetic field calculations while taking into consideration the usual calculation methods, rules and measure techniques.	0,25	5-10
3	- Validate the technical skills on electric and magnetic field and force calculations while taking into consideration the usual calculation methods, rules and measure techniques.	0,10	1-10
4	Final Exam - Validate the technical skills on electric and magnetic field and force calculations while taking into consideration the usual calculation methods, rules and measure techniques.	0,40	1-10