Electric and Magnetic Fields (EMV), AN1, AN2, AN3
The first-year course EMV led up to Maxwell's equations, and this is where CED starts. The course explores the solutions and consequences of Maxwell's equations. Before doing so, we first discuss how Maxwell's equations are modified in the presence of a polarizable medium. Next, electromagnetic wave propagation in vacuum, in polarizable media, and at the interface of the two are discussed. The classical laws of diffraction and refraction are found to follow naturally from the equations.
Electromagnetic waves are seen to carry enrgy and momentum, and we will formulate laws of conservation of enegy and momentum.
In order to connect the waves to the sources of the waves (time-dependent charge and current distributions), Maxwell's equations are reformulated in terms of the potential and vector potential for the fields. The time delay involved in the effects of changes of the charges and currents arriving at the point of observation is included by replacing time by retarded time in the potentials. Putting this together permits us to derive general expressions for the potentials of moving charges (the Liénard-Wiechert potentials), and from these we obtain general forms for the electric and magnetic fields.
Finally we use these expression to explore the important phenomenon of radiation emitted by accelerating charges (dipole radiation and synchrotron radiation).
After completion of this course you will be able to:
– apply the theory of electromagnetism through Maxwell’s equations, using the tools of vector calculus.
– explain the unifying connections between seemingly different phenomena in nature such as electromagnetic induction and optics.
– describe the basic properties of wave propagation, diffraction and interference.
– explain how electromagnetic fields are generated by accelerating charges.
– describe the mechanical properties of electromagnetic fields (energy and momentum flux density).
You will also have enhanced your general problem-solving and mathematical skills.
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Mode of instruction
The course will be delivered in English by black-board instruction, combined with power-point illustrations. Weekly home assignments are offered, in which you are required to apply your mathematical skills and physics understanding to a variety of situations and systems.
Written Examination with short questions
The course is based on the book by D.J. Griffiths , Introduction to Electrodynamics (Cabridge university press, fourth edition, ISBN 1108420419), and covers chapters 4, 6, 8 – 11.
Recommended further reading: John David Jackson, Classical Electrodynamics (Wiley, 1998), ISBN 9780471309321
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Contactgegevens Docent:Prof.dr. J.M. van Ruitenbeek