Classical Electrodynamics

Classical Electrodynamics Theoretical Physics II Manuscript English Edition Franz Wegner ¨ Theoretische Physik Institut fur Ruprecht-Karls-Universit¨at Heidelberg 2003 2 c 2003 Franz Wegner Universit¨at Heidelberg Copying for private purposes with reference to the author allowed. Commercial use forbidden. I appreciate being informed of misprints. I am grateful to J¨org Raufeisen, Andreas Haier, Stephan Frank, and Bastian Engeser for informing me of a number of misprints in the first German edition. Similarly I thank Bj¨orn Feuerbacher, Sebastian Diehl, Karsten Frese, Markus Gabrysch, and Jan Tomczak for informing me of misprints in the second edition. I am indebted to Cornelia Merkel, Melanie Steiert, and Sonja Bartsch for carefully reading and correcting the text of the bilingual edition. Books: B , S : Theorie der Elektrizit¨at I J , Classical Electrodynamics L , L : Lehrbuch der Theoretischen Physik II: Klassische Feldtheorie P , P , Classical Electricity and Magnetism S : Vorlesungen u¨ ber Theoretische Physik III: Elektrodynamik S , Electromagnetic Theory S , S : Elektrodynamik A Basic Equations c 2003 Franz Wegner Universit¨at Heidelberg Introductory Remarks I assume that the student is already somewhat familiar with classical electrodynamics from an introductory course. Therefore I start with the complete set of equations and from this set I spezialize to various cases of interest. In this manuscript I will use G ian units instead of the SI-units. The connection between both systems and the motivation for using G units will be given in the next section and in appendix A. Formulae for vector algebra and vector analysis are given in appendix B. A warning to the reader: Sometimes (B.11, B.15, B.34-B.50 and exercise after B.71) he/she should inser