Classical electromagnetism fitzpatrick
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Classical electromagnetism fitzpatrick
PHY352KClassical Electromagnetisman upper-division undergraduate level lecture course given byRichard FitzpatrickAssistant Professor of PhysicsThe Uni Classical electromagnetism fitzpatrick iversity of Texas at AustinFall 7.9.97Email: rfitzpi3farside.ph.utexas.edu, Tel.: 512-471-9439 Homepage: http://farside.ph.utexas.edu/eml/em.html1 Introduction1.1 Major sourcesThe textbooks which I have consulted most frequently whilst developing course material are:Introduction to electrodynamics: Classical electromagnetism fitzpatrick D.J. Griffiths, 2nd edition (Prentice Hall, Englewood Cliffs NJ, 1989).Electromagnetism: l.s. Grant and W.R. Phillips (John Wiley & Sons, Chichester,Classical electromagnetism fitzpatrick
1975).Classical electromagnetic radiation: M.A. Heald and J.B. Marion, 3rd edition (Saunders College Publishing, Fort Worth TX. 1995).The Feynman lectPHY352KClassical Electromagnetisman upper-division undergraduate level lecture course given byRichard FitzpatrickAssistant Professor of PhysicsThe Uni Classical electromagnetism fitzpatrick urse is .Maxwell's equations. These are a set of eight first order partial differential equations which constitute a complete description of electric and magnetic phenomena. To be more exact, Maxwell’s equations constitute a complete description of the behaviour of electric and magnetic fields. You Classical electromagnetism fitzpatrick are all, no doubt, quite familiar with the concepts of electric and magnetic fields, but I wonder how many of you can answer the following question. “Classical electromagnetism fitzpatrick
Do electric and magnetic fields have a real physical existence or are they just theoretical constructs which we use to calculate the electric and magnPHY352KClassical Electromagnetisman upper-division undergraduate level lecture course given byRichard FitzpatrickAssistant Professor of PhysicsThe Uni Classical electromagnetism fitzpatrick rstanding of the nature of electric and magnetic fields and the reasons why it is necessary to use these concepts in order to fully describe electric and magnetic phenomena.At any given point in space an electric or magnetic field possesses two properties, a magnitude and a direction. In general, th Classical electromagnetism fitzpatrick ese properties vary from point to point. It is conventional to represent such a field ill terms of its components measured wit h respect to some conveClassical electromagnetism fitzpatrick
niently chosen set of Cartesian axes (z.c., X, y, and z axes). Of course, the orientation of these axes is arbitrary. In other words, different observPHY352KClassical Electromagnetisman upper-division undergraduate level lecture course given byRichard FitzpatrickAssistant Professor of PhysicsThe Uni Classical electromagnetism fitzpatrick ording to different observers. We can see that any description of electric and magnetic fields is going to depend on two different things. Firstly, the nature of the fields themselves and, secondly, our arbitrary choice of the coordinate axes with respect to which we measure these fields. Likewise, Classical electromagnetism fitzpatrick Maxwell’s equations, t he equations which describe the behaviour of electric and magnetic fields, depend on two different things. Firstly, the fundameClassical electromagnetism fitzpatrick
ntal laws of physics which govern the behaviour of electric and magnetic fields and, secondly, our arbitrary choice of coordinate axes. It would be niPHY352KClassical Electromagnetisman upper-division undergraduate level lecture course given byRichard FitzpatrickAssistant Professor of PhysicsThe Uni Classical electromagnetism fitzpatrick we can achieve this using what mathematicians call vector field theory. This enables us to write Maxwell’s equations in a manner which is completely independent of our choice of coordinate axes. As an added bonus, Maxwell’s equations look a lot simpler when written in a coordinate free manner.2vAvw. Classical electromagnetism fitzpatrick pdfgrip.com111 fact, instead of eight first order partial differential equations, we only require four such equations using vector Held theory. It shoClassical electromagnetism fitzpatrick
uld be clear, by now. that we are going to be using a lot of vector field theory ill this course. Ill order to help you with this, 1 have decided to dPHY352KClassical Electromagnetisman upper-division undergraduate level lecture course given byRichard FitzpatrickAssistant Professor of PhysicsThe Uni Classical electromagnetism fitzpatrick on this topic. However, that course was taught by somebody from the mathematics department. Mathematicians have their own agenda, when it comes to discussing vectors. They like to think of vector operations as a. sort of algebra, which takes place in an abstract “vector space." This is all very wel Classical electromagnetism fitzpatrick l, but it is not always particularly useful. So, when T come to review this topic I shall emphasize those aspects of vectors which make them of particClassical electromagnetism fitzpatrick
ular interest to physicists; namely, the fact that we can use them to write the laws of physics in a coordinate free fashion.Traditionally, an upper dPHY352KClassical Electromagnetisman upper-division undergraduate level lecture course given byRichard FitzpatrickAssistant Professor of PhysicsThe Uni Classical electromagnetism fitzpatrick fields generated by stationary charge distributions) and all of its applications. Next, there is a discussion of magnetostatics (i.e., magnet ic fields generated by steady current distributions) and all of its applications. At this point, there is usually some moot ion of the interaction of st eady Classical electromagnetism fitzpatrick electric and magnetic fields with matter. Next, there is an investigation of induction (i.c., electric and magnetic fields generated by time varyingClassical electromagnetism fitzpatrick
magnetic and electric fields, respectively) and its many applications. Only at this rather late stage in the course is it possible to write down the fPHY352KClassical Electromagnetisman upper-division undergraduate level lecture course given byRichard FitzpatrickAssistant Professor of PhysicsThe Uni Classical electromagnetism fitzpatrick described above. There are two reasons for this. Firstly, I do not think that the traditional course emphasizes Maxwell’s equations sufficiently. After all, they are only written down in their full glory more than three quarters of the way through the course. Ĩ find this a problem because, as T hav Classical electromagnetism fitzpatrick e already mentioned, 1 think that Maxwell’s equations should be the principal topic of an lipper division course on electromagnetic theory. Secondly,Classical electromagnetism fitzpatrick
in the traditional course it is very easy for the lecturer to fall into the trap of dwelling too long on the relatively uninteresting subject matter aPHY352KClassical Electromagnetisman upper-division undergraduate level lecture course given byRichard FitzpatrickAssistant Professor of PhysicsThe Uni Classical electromagnetism fitzpatrick e (Í.C., induction,3vAVM.pdĩgrip.comMaxwell’s equations, and electromagnetic waves). 1 vividly remember that this is exactly what happened when 1 took this course as an undergraduate. 1 was very disappointed! 1 had been looking forward to hearing all about Maxwell's equations and electromagnetic wav Classical electromagnetism fitzpatrick es, and we were only able to cover these topics in a hurried and rather cursory fashion because the lecturer ran out of time at the end of the course.Classical electromagnetism fitzpatrick
My course is organized as follows. The first section is devoted to Maxwell’s equations. I shall describe how Maxweirs equations can be derived from thPHY352KClassical Electromagnetisman upper-division undergraduate level lecture course given byRichard FitzpatrickAssistant Professor of PhysicsThe Uni Classical electromagnetism fitzpatrick uations possess propagating wave like solutions, calk'd electromagnetic waves, and, furthermore, that light, radio waves, and X-rays, are all different types of electromagnetic wave. Finally, 1 shall demonstrate that it is possible to write down a formal solution to Maxwell's equations, given a sens Classical electromagnetism fitzpatrick ible choice of boundary conditions. The second section of my course is devoted to the applications of Maxwell’s equations. We shall investigate electrClassical electromagnetism fitzpatrick
ostatic fields generated by stationary charge distributions, conductors, resistors, capacitors, inductors, the energy and momentum carried by electromPHY352KClassical Electromagnetisman upper-division undergraduate level lecture course given byRichard FitzpatrickAssistant Professor of PhysicsThe Uni Classical electromagnetism fitzpatrick equations. It also reaches the right balance between the interesting and the more mundane aspects of electromagnetic theory. Finally, it ensures that even if 1 do run out of time towards the end of the course 1 shall still have covered Maxwell’s equations and electromagnetic waves in adequate detail Classical electromagnetism fitzpatrick .One topic which 1 am not going to mention at all in my course is the interaction of electromagnetic fields wit h matter. It is impossible to do justiClassical electromagnetism fitzpatrick
ce to this topic at the college level, which is why 1 always prefer to leave it to graduate school.4VATW.pdfgrip.com2 Vector assault course2.1 Vector PHY352KClassical Electromagnetisman upper-division undergraduate level lecture course given byRichard FitzpatrickAssistant Professor of PhysicsThe Uni Classical electromagnetism fitzpatrick nted by real numbers.Gọi ngay
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