Electrodynamics
Physics and astrophysics first cycle
Objectives and competences
- understanding and usage of basic concepts of electromagnetism;
- solving of elementary problems in the field.
Prerequisites
Physics I and II
Content
-
Vector analysis and differential calculus
(Brief summary on: Vector Algebra, Differential Calculus, Integral Calculus, Curvilinear Coordinates, Delta Dirac Function, Theory of Vector Fields) -
Electrostatics
( The Electric Field, Coulomb’s Law, Divergence and Curl of Electrostatic Fields, Gauss Law, Curl of E, Electric Potential, Poisson’s and Laplace’s equations, Work and Energy in Electrostatics, Conductors, Induced charges, Surface Charge and Force induced on a Conductor, Capacitors) -
Potentials
(Laplace’s equation, solutions in 1 Dimension , 2D, 3D, Boundary Conditions and Uniqueness Theorem, Conductors and Second Uniqueness Theorem, Method of Images, Separation of Variables, Multipole expansion, monopole and Dipole terms) -
Electric Fileds in Matter
(Polarisation, Dielectrics, Bound Charges, Field inside a Dielectric, The Electric Displacement, Gauss Law in presence of Dielectrics, Linear Dielectrics, Susceptibility Permittivity, Dielectric Constant, Energy in Dielectric System) -
Magnetostatics
(The Lorentz Force Law, Magnetic Fields, Magnetic Forces, Currents, The Biot-Savart Law, Steady Currents, Magnetic Fields of a Steady Current, Divergence and Curl of B, Ampere’s Law, Comparison Electrostatics vs Magnetostatics, The Vector Potential, Boundary Conditions, Multipole Expansion of the Vector Potential) -
Magnetic Fields in Matter
( Magnetization, Diamagnets, Paramagnets, Ferromagnets, Effects of Magnetic Fields on Atomic Orbitals, Filed of a Magnetized Object, Bound Currents, Magnetic Filed inside Matter, The Auxiliary Field H, Ampere’s Law in Magnetised Materials, Boundary Conditions, Linear and Nonlinear Media, Magnetic Susceptibility and Permeability) -
Electrodynamics
( Electromotive Force, Ohm’s Law, Motional emf, Electromagnetic Inductance, Faraday’s Law, Induced Magnetic Field, Inductance, Energy in Magnetic Fields, Maxwell’s Equations in vacuum, Magnetic Charge, Maxwell Equations in Matter, Boundary Conditions) -
Conservation Laws
(Charge and Energy, the Continuity Equation, Poynting’s Theorem, Momentum, Conservation of Momentum, Angular Momentum) -
Electromagnetic Waves
(Waves in 1 dimension, The wave equation, Boundary Conditios: Reflection and Transmission, Polarisation, Electromagnetic Waves in Vacuum, The Wave Equation for E and B, monochromatic plane Waves, Energy and momentum in EM waves, EM waves in matter, Propagation in Linear Media, Reflection and Transmission at Normal Incidence, at Oblique Incidence, Absorption and Dispersion) -
Potentials and Fileds
(Scalar and Vector Potentials, Gauge Transformations, Coulomb Gauge, Lorentz Gauge, Lorentz Force Law in Potential Form, Continuous Distributions, Retarded Potentials, Jefimenko’s Equations, Point Charges) -
Radiation
(What is Radiation?, Dipole radiation, Electric dipole Radiation, Magnetic Dipole Radiation)
Intended learning outcomes
Students will learn:
- fundamental concepts of electric and magnetic fields in vacuum and matter
- fundamental concepts of waves propagation.
Readings
Assessment
- written tests, writen exam
- oral exam
Lecturer's references
Barbara Ressel je docentka za področje »Fizika« na Univerzi v Novi Gorici. Barbara Ressesl is Assistant Professor of Physics at the University of Nova Gorica.
- GRAZIOLI, C., GAUTHIER, David, IVANOV, R., BUČAR, Bojan, MERHAR, Miran,
RESSEL, Barbara, DE NINNO, Giovanni, et al. CITIUS: an infrared-extreme ultraviolet light source for fundamental and applied ultrafast science. Review of scientific instruments, ISSN 0034-6748, 2014, vol. 85, no. 2, str. 023104-1-023104-6, doi: 10.1063/1.4864298.
[COBISS.SI-ID 3223291] - CREPALDI, A., RESSEL, Barbara, et al. Evidence of reduced surface electron-phonon scattering in the conduction band of Bi [sub] 2 Se [sub] 3 by nonequilibrium ARPES. Physical review. B, Condensed matter and materials physics, ISSN 1098-0121, 2013, vol. 88, no. 12, str. 121404-1-121404-5, doi: 10.1103/PhysRevB.88.121404. [COBISS.SI-ID
2876667] - CREPALDI, A., RESSEL, Barbara, CILENTO, F., ZACCHIGNA, M., GRAZIOLI, C., BERGER, H.,BUGNON, Ph., KERN, K., GRIONI, M., PARMIGIANI, Fulvio. Ultrafast
photo doping and effective Fermi-Dirac distribution of the Dirac particles in Bi [sub] 2 Se [sub] 3. Physical review. B, Condensed matter and materials physics, ISSN 1098-0121, 2012, vol. 86, no. 20, str. 205133-1-205133-5, doi: 10.1103/PhysRevB.86.205133. [COBISS.SI-ID2620155]