Curriculum.

Course title Electrodynamics I
Code F108
Status Lectures (30), Exercises (30)
Level Basic course
Year 3. Semester 5.
ECTS 5 ECTS credits
Lecturer Josip Brana, Assistant Professor; Ivana Ivković, Lecturer
Course objective Theoretical understanding of basic laws of electrostatics, magnetostatics as well as electrodynamics in vacuum, and be possible to solve different problems in this field.
Prerequisites Mathematics 1 – calculus, Math 2 – Integral Calculus, Math 3 – functions of higher variables, Fundamentals of Physics 1, 2, 3, Classical Mechanics I.
Learning outcomes: After successfully completed course, student will be able to

  1. Understand and correctly express the fundamental laws of electrostatics
  2. Describe and interpret the basic properties of the electric field
  3. Understand and correctly express the fundamental laws of magnetostatics
  4. Describe and interpret the basic properties of the magnetic field
  5. Apply acquired knowledge in the field of electrostatic and magnetostatic in practice and self-solve mathematical problems
  6. Describe the basic principles of electrodynamics in a vacuum
  7. Understand, interpret and apply knowledge of Maxwell’s equations to problems
  8. Understand the concept of an electromagnetic wave, its structure and properties
  9. Understand the energy-momentum concept of an electromagnetic field
  10. Understand the way and reasons for introduction of electromagnetic potentials and consequently gauge freedom
  11. Describe and understand the effects of radiation in electrodynamics
  12. Apply learned knowledge to problem-solving tasks
Teaching activity ECTS Learning outcome Students activity Methods of evaluation Points
min max
Class attendance 1 1-11 Class attendance Signing during the class 0 10
Attending exercises 1 1-11 The presence in the classroom Signing during the class 0 10
Homework 0,5 1-11 Solving homework Written submission of assignments 0 15
Seminars 0,5 1-11 Independent processing of given topic, consultations Verbal presentation, written submission 0 15
Knowledge verification by tests 1 1-11 Continuous work throughout the semester Written midterms (successfully passed tests replace the written examination) 0 25
Final exam 1 1-11 Repeating material Written exam (if not satisfy the prague passing the colloquium), verbal exam 0 25
Total 5 0 100
Consultations Tuesday, 11:00-12:00
Gained competencies
  1. Developing analytical and quantitative approach
  2. Developing an abstract visualization of natural phenomena
  3. Identify the problem, engage in problem solving and logical link key facts and elements
  4. Teamwork
  5. Developing accountability and ethics
Content (Course curriculum)
  1. Electrostatics
    • Coulomb’s law
    • of the electric field
    • on the principle of linear superposition
    • of Gauss’ law
    • of the scalar potential – Poisson equation
    • Work on the charge in an electrostatic field
  2. Magnetostatic
    • magnetic induction and Biot-Savart law
    •  the vector potential calibration freedom
    • Multipole on development
    • the magnetic moment
    • force and torque on the localized currents in a given magnetic field
  3. Electrodynamics in a vacuum
    • charge motion in default electromagnetic fields
  • motion in a constant homogeneous fields
  • motion in periodic fields
  • electromagnetic field of the charge and current whose motion default
    • Maxwell’s equations in vacuum
    • the continuity equation
    • Maxwell’s equations away from the current and charge – electromagnetic waves, polarization
    • energy and momentum of electromagnetic fields
    • electromagnetic potentials, their significance and gradient invariance
    • retarded and advanced solutions
    • Lienard-Wichert potentials
  • the effects of radiation
    • Larmors formula for dipole radiation braking force on radiation and radiation damping
Recommended reading
  1. D. Jackson: Classical Electrodynamics, 3rd edition, John Wiley, New York, 1998.
  2. I. Supek: Teorijska fizika I struktura materije, Školska knjiga, Zagreb, 1977.
Additional reading
  1. O. Barut: Electrodynamics and Classical Theory of Fields and Particles, MacMillan, New York, 1964.
  2. F. Rorlich: Classical charged particles. Addison-Wisley, Reading, Massachusetts, 1965.
Instructional methods Lectures on the theory and the problem-solving exercises and seminars
Exam formats The exam is in writing and oral form
Language Croatian/English
Quality control and successfulness follow up Student’s  survey and statistical analysis of exam results
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