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Contents Preface xi Acknowledgements xii 1 Introduction, Maxwell’s Equations 1 1.1 Importance of Electromagnetics . . . . . . . . . . . . . . . . . . . . . . . . . . 1
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Electromagnetics involves the macroscopic behavior of electric charges in vacuum and matter. This behavior can be accurately characterized by the Lorentz force law and Maxwell’s equations, which were derived from experiments showing how forces on charges depend on the relative locations and motions of other charges nearby.
5.3.2 The Electromagnetic Tensor 106 5.3.3 An Example: A Boosted Line Charge 109 5.3.4 Another Example: A Boosted Point Charge 110 5.3.5 Lorentz Scalars 111 5.4 Maxwell Equations 113 5.4.1 The Lorentz Force Law 115 5.4.2 Motion in Constant Fields 117 5.5 Epilogue 118 – 5 –
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- 1.0 INTRODUCTION
- 1.1 THE LORENTZ LAW IN FREE SPACE
- = Eoiy, H = Hoiy.
Practical, intellectual, and cultural reasons motivate the study of electricity and magnetism. The operation of electrical systems designed to perform certain engi neering tasks depends, at least in part, on electrical, electromechanical, or electro chemical phenomena. The electrical aspects of these applications are described by Maxwell’s equation...
There are two points of view for formulating a theory of electrodynamics. The older one views the forces of attraction or repulsion between two charges or currents as the result of action at a distance. Coulomb’s law of electrostatics and the corresponding law of magnetostatics were first stated in this fashion. Faraday[1] introduced a new approach...
Determine the position of the electron in the y direction, ξy(t). Describe the trajectory of the electron.
8.1.1 Transformations between Inertial Systems 157 8.1.2 The Special Theory of Relativity 158 8.1.3 Minkowski Space 159 8.2 Symmetry under Coordinate Transformations 160 8.3 Euclidean Coordinates and Transformations 160 8.3.1 Parameterizing in Different Coordinate Systems 161 8.3.2 Basis vectors 161 8.3.3 Expansion of Vectors and Dual Vectors 166
on Physics, Volume II (Basic Books) These notes are meant to be a support for the course, but they should not replace text-books. It is strongly advised that at least one of the books listed above is used regularly, as they provide much more details about the subject and lots of examples and problems. To quote William Faulkner: Read! You’ll ...
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Electromagnetic theory is the rst eld theory in physics that you will encounter and hence one of the most important and fundamental theories you’ll meet during your entire course.
