Syllabus
*
1. Introduction *
2. Introduction to vector analysis - Scalar and vector quantities, scalar and vector fields - Basic differential operators (gradient, divergence, curl) - Integral theorems (Gauss and Stokes) - Potential and solenoidal fields. *
3. Electrostatics. Basic concepts and laws of electrostatic field in vacuum: - Electric charge and its properties.Point charge, charge density. - Coulomb's law. - Strength and potential of electrostatic field. - Gauss's law, Poisson's and Laplace's equations. - Typical examples. Electrostatic field of conductors: - Fundamental experiments, electrostatic induction. - Capacity, capacitor. - Applications. Electrostatic field in dielectrics: - Polarization of dielectric, bound charges. - Gauss's law in dielectrics, vector of electric displacement. - Material relations, electric susceptibility and permittivity. Energy and forces in electrostatic field: - Interaction energy of configuration of point charges. - Energy of configuration of charged conductors. - Energy density of electrostatic field. - Forces on electric dipole. *
4. Electric current and stationary electric field. - Stationary electric field. - Ohm's law, electric resistance and conductivity. - Stationary electric circuit. Electromotive force, Kirchhoff's rules. - Energy and power in stationary circuits, Joule's law. *
5. Stationary magnetic field. - Vector of magnetic field (induction) and its properties, Ampére's law of magnetic field. - Vector potential, Biot-Savart's law. - Magnetic field in matter. Magnetic polarization (magnetization). - Ampére's law of magnetic field in matter, magnetising field. - Material relations, magnetic susceptibility and permeability. Magnetic circuit, magnetostatic field. - Applications. *
6. Quasistationary electric and magnetic fields. - Faraday's law of electromagnetic induction. Mutual inductance, self-inductance. - Generic properties of quasistationary field. Quasistationary circuit, Kirchhoff's rules. - Alternating current generation, alternating currents and circuits. - Energy and forces in magnetic field. Energy density of magnetic field. *
7. Techniques of circuits solution. - Linear stationary circuits, classification of AC circuits, stationary and transient state. - Direct application of Kirchhof's rules, superposition theorem, techniques of loop-currents and node-voltages, theorem of Thévénin. - Complex representation. - Non-sinusoidal circuits, Fourier analysis. - Applications. *
8. Non-stationary electromagnetic field. - Formulation of Maxwell's equations. - Energy and momentum of electromagnetic field. *
9. Electromagnetic waves. - Plane and spherical electromagnetic waves, their properties. - Complex representation of monochromatic waves. - Dipole radiation. - Spectral regions of electromagnetic waves, light. *
10. Dielectric and magnetic properties of matter. - Microscopic electric fields in matter. Susceptibility and permittivity of non-polar and polar substances. Clausius - Mosotti's equation. - Diamagnetism of atoms and molecules. - Paramagnetism of atoms. Paramagnetism of metals. - Types of magnetic alignment, physical principles. Spontaneous magnetisation, permeability of ferromagnetic materials. Molecular field. Curie-Weiss' law. *
11. Electric transport phenomena. - Validity of Ohm's law, mobility of charge carriers. - Conductivity of metals, Drude's theory, Franz-Wiedemann's law. Conductivity of semiconductors, p-n transition, transistor. - Hall's effect. Thermoelectric phenomena. - Electron emission. Saturated and unsaturated emission current, Langmuir's law. - Specific and molar conductivity of liquids. Electrolysis, Faraday's laws. Galvanic cells. - Conductivity of gases, discharge in gas, Paschen's law. Franck-Hertz's experiment.
Annotation
Electrostatics. Electric current and stationary electric field. Methods for solution of linear stationary circuits. Stationary magnetic field. Kvasistationary electric and magnetic field. Methods for solution of circuits with alternating current. Nonstationary electromagnetic field. Dielectric and magnetic properties of matter. Electric transport phenomena.
The course is for students of Physics, 1st year.