Electrostatics & Magnetostatics

Données Générales
Programme Académique	ECAM LaSalle Mechanical and Electrical Engineering Programme			Responsable(s) Module : CAKAR Halil Ibrahim
Type d'EC : Cours	Electrostatics & Magnetostatics (LIIEEng03EElectroMagneto)
TD : 24h00 Cours : 18h00 Travail personnel : 36h00 Durée totale: 78h00	Statut	Periode Semester 3	Langue d'enseignement : English

Acquis d'apprentissage
On completion of the course, the student is expected to be able to do the following: 1. Identify and describe the origin of the electric field. 2. Define Coulomb's law for charge-carrying particles. 3. Calculate and solve electrical force and field problems by applying vector algebra. 4. Apply Gauss's law to analyze the electrical field in charge-carrying elements across different dimensions and geometries. 5. Formulate the electric potential and calculate work done by a conservative field over a specified trajectory. 6. Define and describe the magnetic field generated by moving charge-carrying particles. 7. Apply Biot-Savart's law to calculate the magnetic field for specific current distributions. 8. Apply Ampère's circuital law to determine the magnetic field originating from a current-carrying element in different dimensions and geometries. 9. Explain and apply Faraday's and Lenz's laws to determine voltage induction and analyze its application to alternators. 10. Formulate and interpret Maxwell's equations.

Acquis d'apprentissage

On completion of the course, the student is expected to be able to do the following:
1. Identify and describe the origin of the electric field.
2. Define Coulomb's law for charge-carrying particles.
3. Calculate and solve electrical force and field problems by applying vector algebra.
4. Apply Gauss's law to analyze the electrical field in charge-carrying elements across different dimensions and geometries.
5. Formulate the electric potential and calculate work done by a conservative field over a specified trajectory.
6. Define and describe the magnetic field generated by moving charge-carrying particles.
7. Apply Biot-Savart's law to calculate the magnetic field for specific current distributions.
8. Apply Ampère's circuital law to determine the magnetic field originating from a current-carrying element in different dimensions and geometries.
9. Explain and apply Faraday's and Lenz's laws to determine voltage induction and analyze its application to alternators.
10. Formulate and interpret Maxwell's equations.

Contenu
1. Introduction • Elements of vector analysis • Scalar and vector fields • Derivatives and integrals • Cartesian, cylindrical, and spherical coordinate systems 2. Electrostatics • Electrical force (Coulomb's law) • Superposition principle, Curie’s theorem • Gauss’s law (used to calculate electric field in high-symmetry situations) • Electric potential and work, conservative fields • Electrostatics in conductors 3. Magnetostatics • Magnets (historical background) • Magnetic field (Biot-Savart law) due to a line and a loop • Ampère’s circuital law (used to calculate magnetic field in high-symmetry situations) • Magnetic force (Lorentz force) • 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

Contenu

1. Introduction
• Elements of vector analysis
• Scalar and vector fields
• Derivatives and integrals
• Cartesian, cylindrical, and spherical coordinate systems
2. Electrostatics
• Electrical force (Coulomb's law)
• Superposition principle, Curie’s theorem
• Gauss’s law (used to calculate electric field in high-symmetry situations)
• Electric potential and work, conservative fields
• Electrostatics in conductors
3. Magnetostatics
• Magnets (historical background)
• Magnetic field (Biot-Savart law) due to a line and a loop
• Ampère’s circuital law (used to calculate magnetic field in high-symmetry situations)
• Magnetic force (Lorentz force)
• 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

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

Bibliographie
Essential resources: - Griffiths, D., Introduction to Electrodynamics, 4th edition, Pearson. Recommended resources: - Purcell, EM. and Morin, DJ., Electricity and Magnetism, 3rd edition, Cambridge University Press. - Edminister, JA., Schaum's outline of theory and problems of Electromagnetics, 2nd edition, McGraw Hill.

Évaluation(s)
N°	Nature	Coefficient	Objectifs
1	Assesses learning outcomes 1-5	0,40	Mid-term Exam
2	Assesses learning outcomes 1-10	0,50	Final Exam
3	Assesses learning outcomes 1-10	0,10	Quiz, group works, solving exercises.