### Course: Seminar on electricity and magnetism

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 Course title Seminar on electricity and magnetism UFY/SEF2 Seminary Bachelor not specified In each academic year, in the summer semester. Summer 2 Czech Compulsory Face-to-face This is not an internship None
Lecturer(s)
• Kratochvíl Jiří, RNDr. Ph.D.
• Straňák Vítězslav, doc. RNDr. Ph.D.
Course content
1. Differential calculation of vector fields Introduction to vector algebra, differential, physical fields (scalar and vector fields), differential operators (grad, div, curl, laplas), calculation with operators, the second derivations of the operators. 2. Integral calculation of vector fields. Vector of flow, Gauss's theorem, the circulation of the vector, the line integral, Stokes's theorem, physics of fields. 3. Electrostatic fields in vacuum Flow of the intensity vector, Gauss's law of electrostatics in differential form, conservative electrostatic field, potential, Poisson's and Laplace's theorems. 4. Electrostatic fields in vacuum - practice Electrostatic field of charged line, the charged plane, a pair of charged planes, charged spherical shell, the charged sphere (conducting, dielectric), electrostatic field of a cylindrical electrode in the axis etc. 5. Polarization of dielectrics. Torque of the electrical dipole, dipole potential energy, vector of polarization, Gauss's law for the field in dielectrics, vector of the electrical induction, the energy of field in the dielectric. 6. Stationary electric field - electric current. The definition of the current, current density, electrical currents (conduction, convection, polarization), the equation of continuity, numerical examples, practice. 7. Stationary electric field and electric circuit. Free and bound charge, Ohm's law in differential form, EMF, power, numerical examples, practice. 8. Stationary Magnetic Field Magnetic induction, magnetic flux, Ampere's law of the total current, magnetic induction lines, laws of field lines behavior, the vector's potential. 9th Biot-Savart Law Vector's potential, Biot-Savart law, BS vs Ampere's law, magnetic field of circuit currents, application of BS law, numerical examples, practice. 10. Quasistationary electric and magnetic fields The law of electromagnetic induction, Lenz's rule, Faraday's law of induction, properties and conditions of quasistationary field expressed in vector analysis. 11th Maxwell's equations (I) The induced electric field, displacement current, Maxwell's equations in differential form for quasistationary fields, interpretations of four Maxwell's equations. 12. Maxwell's equations (II) Maxwell's equations in the integral form, the potentials of the electromagnetic field, energy and momentum of the electromagnetic field - the Poynting's vector, electromagnetic waves (introduction). 13. Magnetic properties of matter Paramagnetic and diamagnetic matters, the magnetic torque of the atom, Bohr's magneton, diamagnetism (Larmor's explanation) paramagnetism, ferromagnetism, spontaneous magnetization, Curie-Weiss's law, domain structure, magnetization curve, hysteresis curve. 14. Movements of particles in the electromagnetic field. Charged particle in an electromagnetic field, Lorentz's force, generalized momentum, cyclotron frequency, Larmor's precession frequency, accelerators (cyclotron, betatron), magnetic resonance (imaging).

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Individual tutoring, Practical training
• Class attendance - 26 hours per semester
• Preparation for classes - 20 hours per semester
• Preparation for credit - 10 hours per semester
Learning outcomes
The course enlarges and strengthens elementary knowledge in the area of electricity and magnetism with emphasis on complex mathematics description. Furthermore, more complicated physics problems examples and physics application will be practice, too. The course follows lecture of electricity and magnetism, but partial phenomena are discussed extensively using consistent and complete mathematical formalism.
Students are able correctly describe phenomena from electricity and magnetism from the point of physics as well as mathematics. Students are also able to solve more complicated practical examples using a complex mathematical apparatus.
Prerequisites
basic knowledge of advanced parts of mathematics - differencial and integral math, knowledge of electricity and magnetism

Assessment methods and criteria
Combined exam

Understanding of the topic within the frame given by the plan. Assesment methods and criteria linked to learning outcomes: credit: attendance of seminars, min 75%, passing the test to min 75%.
Recommended literature
• B. Sedlák, I. Štoll:. Elektřina a magnetismus, Academia, Praha 2002..
• Hajko V. aj.:. Fyzika v príkladoch. Bratislava, Alfa 1983..

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