Course title  Seminar on electricity and magnetism 

Course code  UFY/SEF2 
Organizational form of instruction  Seminary 
Level of course  Bachelor 
Year of study  not specified 
Frequency of the course  In each academic year, in the summer semester. 
Semester  Summer 
Number of ECTS credits  2 
Language of instruction  Czech 
Status of course  Compulsory 
Form of instruction  Facetoface 
Work placements  This is not an internship 
Recommended optional programme components  None 
Lecturer(s) 


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 BiotSavart Law Vector's potential, BiotSavart 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, CurieWeiss'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

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 

Study plans that include the course 
Faculty  Study plan (Version)  Category of Branch/Specialization  Recommended semester  

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Faculty: Faculty of Science  Study plan (Version): Physics (1)  Category: Physics courses  1  Recommended year of study:1, Recommended semester: Summer 
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