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Classical Electrodynamics
Cursusdoel
The course provides a solid, modern introduction to Classical Electrodynamics. Understanding its foundations, elucidated with key examples, will reveal concepts that pervade all of Physics, and increase its appreciation as a coherent body of knowledge, with a powerful, systematic mode of investigation.
After completing this course students are able to:
After completing this course students are able to:
- explain the importance of electrodynamics, both for fundamental physics (field theory) and in applications (optics, electric power, telecommunications, devices, …).
- describe and apply concepts and laws of electrostatics (electric field, principle of linear superposition, laws of Coulomb and Gauss, div and curl of electric fields, Laplace equation in Cartesian coordinates, electric potential, work and energy).
- describe and apply concepts and laws of magnetostatics (magnetic field, Lorentz force, Ampère’s law, the law of Biot and Savart, div & curl of magnetic fields).
- solve simple problems in electro- and magnetostatics by applying the laws and mathematical methods and principles common in this field (principle of linear superposition, method of images, Laplace equation and separation of variables in Cartesian coordinates.)
- work with the concept of electromagnetic induction (Faraday’s law, Lenz’s rule) and describe the unification of electric and magnetic forces through Maxwell’s equations.
- apply basic conservation laws (related to charge, energy and momentum of the electromagnetic field, Poynting vector) to solve and analyse simple problems in electromagnetism.
- solve simple problems involving electromagnetic waves in vacuum.
| Description of assignment | Weight | Assesses which course aims? |
|
30 % 20 % 20 % 30 % |
2, 3, 4 all course goals all course goals, with emphasis on 1 5, 6, 7 |
Vakinhoudelijk
This course is offered in two formats, standard with code UCSCIPHY21, and enhanced with code UCSCIPHY26. The enhanced format is compulsory for Physics Double Degree students. The main difference is in point 4 above which is either assessed through an essay (PHY21) or through a portfolio of more extensive, in-depth, exercises (PHY26).
Classical electrodynamics describes the physics of electricity, magnetism and electromagnetic waves (light). At the core are Maxwell’s laws, which contain the dynamical relationships between electric fields, magnetic fields, and their sources. It is one of the most profound achievements of the 19th century and its technological applications have dramatically altered the world. This theory unified all electromagnetic phenomena into a single consistent framework and thus inspired, influenced and even guided the systematic development of reasoning and methodology throughout all of physics. It still took many decades for its ideas - of fields being physical objects in their own right, capable of interacting with material bodies, exerting forces and carrying energy and momentum - to reveal their full significance and impact. Ultimately, it was Albert Einstein who realized what classical electrodynamics, if valid, told us about the very nature of space and time, and these insights formed the basis for his theory of relativity. This course will tell the story of electromagnetism from the perspective just sketched. Once one has understood the theory in its modern formulation, insights can be expanded both in the direction of fundamentals of (quantum) field theory in general, and in the direction of practical applications to be derived from Maxwell’s laws.
Format
Students prepare for class meetings by reading designated parts of the textbook and working on practice material. In class, instruction will be limited to brief lectures, highlighting key elements and replying to questions raised. Some of the contact hours will be devoted to presentation and discussion of materials that students are working on. Bi-weekly, a certain set of exercises are to be solved by the student at home; this work will be graded. There will be a written closed-book midterm exam. After the midterm, each student works towards a final essay. The essay should demonstrate the ability to understand a fundamental issue in, or an application of, classical electrodynamics. This essay will also be presented in class. Lastly, there will be a written final closed-book exam.
Classical electrodynamics describes the physics of electricity, magnetism and electromagnetic waves (light). At the core are Maxwell’s laws, which contain the dynamical relationships between electric fields, magnetic fields, and their sources. It is one of the most profound achievements of the 19th century and its technological applications have dramatically altered the world. This theory unified all electromagnetic phenomena into a single consistent framework and thus inspired, influenced and even guided the systematic development of reasoning and methodology throughout all of physics. It still took many decades for its ideas - of fields being physical objects in their own right, capable of interacting with material bodies, exerting forces and carrying energy and momentum - to reveal their full significance and impact. Ultimately, it was Albert Einstein who realized what classical electrodynamics, if valid, told us about the very nature of space and time, and these insights formed the basis for his theory of relativity. This course will tell the story of electromagnetism from the perspective just sketched. Once one has understood the theory in its modern formulation, insights can be expanded both in the direction of fundamentals of (quantum) field theory in general, and in the direction of practical applications to be derived from Maxwell’s laws.
Format
Students prepare for class meetings by reading designated parts of the textbook and working on practice material. In class, instruction will be limited to brief lectures, highlighting key elements and replying to questions raised. Some of the contact hours will be devoted to presentation and discussion of materials that students are working on. Bi-weekly, a certain set of exercises are to be solved by the student at home; this work will be graded. There will be a written closed-book midterm exam. After the midterm, each student works towards a final essay. The essay should demonstrate the ability to understand a fundamental issue in, or an application of, classical electrodynamics. This essay will also be presented in class. Lastly, there will be a written final closed-book exam.
Werkvormen
Lectures
Toetsing
final exam
Verplicht | Weging 30% | ECTS 2,25
essay
Verplicht | Weging 20% | ECTS 1,5
assignments
Verplicht | Weging 20% | ECTS 1,5
*midterm FEEDBACK*
Niet verplicht
mid-term exam
Verplicht | Weging 30% | ECTS 2,25
Ingangseisen en voorkennis
Ingangseisen
Er moet voldaan zijn aan de cursus:
En er moet voldaan zijn aan minimaal één van de cursussen:
- [UCSCIPHY13] Introduction to Wave Phenomena in Nature
- [UCSCIPHY14] Introduction to Wave Phenomena in Nature - enhanced
Voorkennis
The following courses are recommended: [UCSCIPHY12] Relativistic and Classical Physics and [UCSCIMATL5] Dynamical Systems.
Voertalen
- Engels
Competenties
-
Academisch schrijven
Cursusmomenten
Gerelateerde studies
Tentamens
Er is geen tentamenrooster beschikbaar voor deze cursus
Verplicht materiaal
| Materiaal | Omschrijving |
|---|---|
| DIVERSE | TH. D. Young and R. A. Freedman, University Physics with Modern Physics, Global ed. 14/E, Pearson-Addison-Wesley, 14th ed., ISBN-10: 1292100400 |
| BOEK | David J. Griffiths, Introduction to Electrodynamics, 4th ed., ISBN-10: 1108420419 |
Aanbevolen materiaal
Er is geen informatie over de aanbevolen literatuur bekend
Opmerkingen
Two formats on offer: UCSCIPHY21 and for DDLP students UCSCIPHY26. Pre-registration for both courses through UCSCIPHY21.
Coördinator
| dr. A.E.M. van de Ven | A.E.M.vandeVen@uu.nl |
Docenten
| dr. A.E.M. van de Ven | A.E.M.vandeVen@uu.nl |
Inschrijving
Let op: deze cursus is niet toegankelijk voor studenten van andere faculteiten, bijvakkers mogen zich dus niet inschrijven.
Naar OSIRIS-inschrijvingen
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