Syllabus
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1. The Electrostatic Field Basic properties of electric charge, electrostatic field; Coulomb's and Gauss's laws in integral and differential form; potential, electric dipoles, Poisson's and Laplace's equations; conductors in an electrostatic field; capacitance, field in a parallel plate capacitor; energy stored in a capacitor. *
2. The Electric Field in a Dielectric Electric polarization and displacement; parallel plate capacitor with a dielectric; Clausius-Mossotti formula. *
3. Electric Current Electric current, current density; Ohm's law; conductivity, drift velocity, mobility; temperature dependence of the conductivity of metals and semiconductors. Direct current circuits; electromotive force; Kirchhoff's rules, electric current power. *
4. The Magnetic Field Stationary magnetic field; the Lorentz force, Biot-Savart and Ampere's law. Magnetic flux. The field due to a long, straight wire; the field of a circular loop; a long solenoid; toroid. Magnetic dipole. *
5. A Charged Particle in a Uniform Magnetic Field The motion of charged particles in uniform magnetic fields. Cyclotron frequency, the Hall effect, a mass spectrometer. A current loop in uniform and non-uniform magnetic fields. The potential energy of a loop in a magnetic field. *
6. The Magnetic Field Inside the Material The Ampere's current loops, vectors B,M,H; Ampere's law for magnetic field intensity H. Magnetic properties of matter: diamagnetic, paramagnetic, ferro- and antiferromagnetic materials, superconductors; the magnetic field energy. *
7. Electromagnetic Induction Electromagnetic induction, Faraday's law, Lenz's law; relation between the Lorentz force and electromagnetic induction. Self-inductance and mutual inductance, self-inductance of a long solenoid. *
8. Alternating Current Circuits Transient phenomena in LR, CR, series and parallel RLC circuits; heavily damped, critically damped and lightly damped circuits, natural angular frequency. Forced oscillations in a series RLC circuit; resonance; quality factor. Phasor diagrams in the complex plane. Power in A.C. circuits; power factor. *
9. Maxwell's Equations Maxwell's equations in integral and differential form; boundary conditions. *
10. Electromagnetic Waves Wave equation in free space. Undamped homogeneous plane monochromatic wave; spherical wave. Polarization. Energy density, energy flow, the Poynting vector, intensity of the radiation. *
11. Interference Interference of a two monochromatic waves; Young's double-slit experiment; Michelson interferometer. Interference on a thin dielectric film; Fabry-Perot interferometer; interference fringers. *
12. Diffraction Diffraction of the radiation. Fresnel diffraction, Fresnel zones. Fraunhofer diffraction. Consequences for optical systems. Fraunhofer diffraction from a slit, interference on a system of slits. The diffraction grating in transmittance and reflectance; monochromator. Theoretical limit for spectral resolution. *
13. Geometrical Optics Plane wave on a boundary of two isotropic dielectrics; reflection and refraction of the wave. Fresnel's formulae, graphic illustration; Brewster's angle; polarization by reflection; total reflection.
Annotation
The second part of the introductory physics course for chemistry students (Faculty of Sciences).
The course contains fundamentals of electric and magnetic fields, electromagnetic induction, linear direct and alternating current circuits, Maxwell's equations, electromagnetic waves, fundamentals of wave and geometrical optics.