The Classical Theory of Fields Electromagnetism

The study of classical electromagnetic fields is an adventure. The theory is complete mathematically and we are able to present it as an example of classical Newtonian experimental and mathematical philosophy. There is a set of foundational experiments, o

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GRADUATE TEXTS IN PHYSICS Graduate Texts in Physics publishes core learning/teaching material for graduate- and advanced-level undergraduate courses on topics of current and emerging fields within physics, both pure and applied. These textbooks serve students at the MS- or PhD-level and their instructors as comprehensive sources of principles, definitions, derivations, experiments and applications (as relevant) for their mastery and teaching, respectively. International in scope and relevance, the textbooks correspond to course syllabi sufficiently to serve as required reading. Their didactic style, comprehensiveness and coverage of fundamental material also make them suitable as introductions or references for scientists entering, or requiring timely knowledge of, a research field.

Series Editors Professor Richard Needs Cavendish Laboratory JJ Thomson Avenue Cambridge CB3 0HE, UK E-mail: [email protected] Professor William T. Rhodes Florida Atlantic University Imaging Technology Center Department of Electrical Engineering 777 Glades Road SE, Room 456 Boca Raton, FL 33431, USA E-mail: [email protected] Professor H. Eugene Stanley Boston University Center for Polymer Studies Department of Physics 590 Commonwealth Avenue, Room 204B Boston, MA 02215, USA E-mail: [email protected]

For further volumes: http://www.springer.com/series/8431

Carl S. Helrich

The Classical Theory of Fields Electromagnetism

With 132 Figures

123

Prof. Dr. Carl S. Helrich Goshen College S. Main St. 1700 46526 Goshen Indiana USA [email protected]



Complete solutions to the exercises are accessible to qualified instructors at springer.com on this book’ s product page. Instructors may click on the link additional information and register to obtain their restricted access.

ISSN 1868-4513 ISBN 978-3-642-23204-6 DOI 10.1007/978-3-642-23205-3

e-ISSN 1868-4521 e-ISBN 978-3-642-23205-3

Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2011943618 c Springer-Verlag Berlin Heidelberg 2012  This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Preface

The study of classical electromagnetic fields is an adventure. The theory is complete mathemat