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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025
NOTICE: Study plans for the following academic year are available.

Electricity and Magnetism

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Code Completion Credits Range Language
02ELMA Z,ZK 6 4+2 Czech
Relations:
In order to register for the course 02ELMA, the student must have successfully completed or received credit for and not exhausted all examination dates for the course 02MECH. The course 02ELMA can be graded only after the course 02MECH has been successfully completed.
Course guarantor:
Jiří Hrivnák, Goce Chadzitaskos
Lecturer:
Jiří Hrivnák, Goce Chadzitaskos, Iskender Yalcinkaya
Tutor:
Jiří Hrivnák, Lenka Motlochová, Šárka Salačová, Josef Schmidt, Stanislav Skoupý, Vojtěch Teska, Jan Vysoký, Iskender Yalcinkaya
Supervisor:
Department of Physics
Synopsis:

Electric charge, Coulomb's law, electrostatic field, Gauss' law. Electric dipole, polarization. Conductors and dielectrics. Electric current and circuits, conductivity. Basics of the relativity theory. Electrodynamic forces, magnetic field. Magnetic dipole, magnetics. Electromagnetic induction, RLC circuits. Electromagnetic waves, Maxwell equations.

Requirements:

Knowledge of high school mathematics and physics is required. Basic calculus (differentiation and integration) and basic trigonometry would be useful but are not necessary.

Syllabus of lectures:

1. Mathematical preliminaries:

Vectors, vector operations, gradient, divergence, curl, and their fundamental theorems. Line, surface, and volume integrals. Curvilinear coordinates, Dirac delta function, vector field theory, potentials, and Helmholtz theorem.

2. Electrostatics:

Coulombs law, superposition principle, electric fields from charge distributions, field lines, and Gausss law. Electric potential, Poissons/Laplaces equation, work and energy in electrostatics. Boundary conditions, conductors, insulators, Faraday cage, surface charges, force on conductors, and capacitors. Multipole expansion, dipoles, induced dipoles, polarization, bound charges, and their physical meaning.

3. Magnetostatics:

Lorentz force, cyclotron motion, current density, continuity equation, Biot-Savart law, and Ampères law. Magnetic vector potential and its multipole expansion. Magnetic fields in matter, torque on magnetic dipoles, atomic orbits, magnetization, paramagnetism, diamagnetism, bound currents, and an introduction to ferromagnetism.

4. Electrodynamics:

Conductivity, resistivity, Ohms law, electrical circuits, electromotive force (emf), batteries, motional emf, and electromagnetic induction (Faradays and Lenzs laws). Eddy currents, inductance, RLC circuits, energy in magnetic fields, and Maxwells equations.

5. Electromagnetic waves:

Wave equation, sinusoidal waves, electromagnetic waves in vacuum, monochromatic plane waves, and Poyntings theorem.

6. Special relativity:

Einsteins postulates, time dilation, Lorentz contraction, Galilean and Lorentz transformations, spacetime structure, proper time/velocity, relativistic energy and momentum. Magnetism as a relativistic effect, field transformations, field tensor, and moving charge fields.

Syllabus of tutorials:

Practice problems on the covered topics corresponding to the lecture syllabus above.

Study Objective:

Learning the basics of electricity and magnetism, and solving relevant problems.

Study materials:

Key references:

[1] D. J. Griffiths: Introduction to Electrodynamics, Cambridge University Press; 3rd edition, 1999

[2] E. M. Purcell and D. J. Morin: Electricity and Magnetism, Cambridge University Press; 3 edition, 2013

[3] D. C. Pandey: Electricity & Magnetism, Arihant Publications, 2016

Recommended references:

[4] P. A. Tipler: Physics I, II. Worth Publisher, 1976.

Note:

Full syllabus: https://people.fjfi.cvut.cz/yakcuisk/pdf/electromagnetism-syllabus.pdf

Time-table for winter semester 2024/2025:
Time-table is not available yet
Time-table for summer semester 2024/2025:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2025-04-07
For updated information see http://bilakniha.cvut.cz/en/predmet11279205.html