COURSE GOALS: Acquire knowledge and understanding of the theory of Classical electrodynamics (ED). Acquire operational knowledge from methods used to solve problems in ED. Acquire an overview of the use of ED in modern areas of physics.
LEARNING OUTCOMES AT THE LEVEL OF THE PROGRAMME:
1. KNOWLEDGE AND UNDERSTANDING
1.1. demonstrate a thorough knowledge and understanding of the fundamental laws of classical and modern physics
1.2. demonstrate a thorough knowledge and understanding of the most important physics theories (logical and mathematical structure, experimental support, described physical phenomena);
1.8. demonstrate knowledge and understanding of new insights into contemporary physics and informatics teaching methods and strategies;
2. APPLYING KNOWLEDGE AND UNDERSTANDING
2.1. identify and describe important aspects of a particular physical phenomenon or problem;
2.3. use mathematical methods to solve standard physics problems;
2.9. create a learning environment that encourages active engagement in learning and promotes continuing development of pupils' skills and knowledge;
4. COMMUNICATION SKILLS
4.4. use the written and oral English language communication skills that are essential for pursuing a career in physics, informatics and education;
5. LEARNING SKILLS
5.1. search for and use professional literature as well as any other sources of relevant information;
5.2. remain informed of new developments and methods in physics, informatics and education;
5.3. develop a personal sense of responsibility for their professional advancement and development;
LEARNING OUTCOMES SPECIFIC FOR THE COURSE:
Upon passing the course on Classical electrodynamics, the student will be able to:
* demonstrate knowledge of vector analysis, concepts of gradient, divergence, curl, Helmholts theorem for vector fields
* formulate and solve problems in electrostatics by using divergence and curl of electric fields, demonstrate knowledge of Gauss law and scalar potential
* demonstrate knowledge of Poisson and Laplace equations, uniqueness theorems for these equations
* demonstrate knowledge of multipole expansion
* demonstrate knowledge of electrostatics in the presence of conductors and dielectrics, polarization, dielectric displacement vector, polarizability and susceptibility
* formulate magnetstatics by using rotation and curl of magnetic fields, demonstrate knowledge of Biot-Savart law, Lorentz force, and vector potential
* demonstrate knowledge of magnetostatics in the presence of magnetic materials, paramagnetism, diamagnetism, auxiliary field H, magnetic susceptibility and permeability
* demonstrate knowledge of Faraday's law of induction, electromotive force, inductivity
* demonstrate knowledge of Maxwell equations
* demonstrate knowledge of Poynting theorem, and Poynting vector
* formulate and interpret ED by using scalar and vector potential, demonstrate knowledge of different gauges
* demonstrate knowledge of electromagnetic waves in vacuum, systems with dielectrics, reflection and refraction
* demonstrate knowledge and understanding of the connection between ED and Special Theory of Relativity, Einstein postulates, geometry of space-time, Lorentz transformations, and energy-momentum relation.
COURSE DESCRIPTION:
Lectures per weeks (15 weeks in total):
The Fall semester
1.-2. week - vector analysis (gradient, divergence, curl)
3.-4. week - electrostatics (Gauss law, scalar potential), electrostatics with conductors, energy in electrostatic fields
5. week - Laplace and Poisonn equation, method of images and multipole expansion
6.-7. week - electrostatics in the presence of dielectrics (atomic polarizability, polarization, field of a polarized object, dielectric displacement, susceptibility, macroscopic and microscopic fields, energy of electrostatic fields in the presence of dielectrics)
8.-9. week - magnetostatics (Biot-Savart law, Lorentz force, vector potential); magnetostatics in the presence of materials (paramagnetism, diamagnetism, ferromagnetism, auxiliary field H, magnetic permeability and susceptibility.
10. week - Faradey's law of induction, electromotive force, inductivity
11.-12. week - Maxwell equations, Poynting theorem, Poynting vector
13. week - electromagnetic waves (waves in vacuum, systems with dielectrics, reflection and refraction), model frequency dependent dielectric response
14. week - formulation of classical electrodynamics via scalar and vector potential
15. week - ED and Special Theory of Relativity, Einstein postulates, Lorentz transformations, and energy-momentum relation.
Exercises follow lectures by content:
The Fall semester
1.-2. week - vector analysis (gradient, divergence, curl)
3.-4. week - electrostatics (Gauss law, scalar potential), electrostatics with conductors, energy in electrostatic fields
5. week - Laplace and Poisonn equation, method of images and multipole expansion
6.-7. week - electrostatics in the presence of dielectrics (atomic polarizability, polarization, field of a polarized object, dielectric displacement, susceptibility, macroscopic and microscopic fields, energy of electrostatic fields in the presence of dielectrics)
8.-9. week - magnetostatics (Biot-Savart law, Lorentz force, vector potential); magnetostatics in the presence of materials (paramagnetism, diamagnetism, ferromagnetism, auxiliary field H, magnetic permeability and susceptibility.
10. week - Faradey's law of induction, electromotive force, inductivity
11.-12. week - Maxwell equations, Poynting theorem, Poynting vector
13. week - electromagnetic waves (waves in vacuum, systems with dielectrics, reflection and refraction), model frequency dependent dielectric response
14. week - formulation of classical electrodynamics via scalar and vector potential
15. week - ED and Special Theory of Relativity, Einstein postulates, Lorentz transformations, and energy-momentum relation.
REQUIREMENTS FOR STUDENTS:
Students must attend minimum of 75% lectures and exercises.
GRADING AND ASSESSING THE WORK OF STUDENTS:
Grading and assessing the work of students during the semesters:
* there are two written exams during semester. One after 9th week, and one after 15th week.
Final grading:
* final written and oral exam
Contributions to the final grade:
* one half of the grade are carried by the results of the mid-term and final written exam (2+2 ECTS points)
* the oral exam carries one half of the grade (2+2 ECTS points).
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