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Introduction

Published online by Cambridge University Press:  24 October 2009

Daniel M. Siegel
Affiliation:
University of Wisconsin, Madison
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Summary

James Clerk Maxwell made momentous contributions to the development of electromagnetic theory: In formulating the set of equations that bear his name, he established a systematic and enduring foundation for modern electromagnetic theory; in developing the formalism to embrace optics, he demonstrated the range and power of his mathematized field theory, adumbrating its profound implications for subsequent developments ranging from relativity theory to communications technology. Maxwell's activity in this area spanned a period of twenty-five years – from the mid-1850s until his death in 1879 – and his thinking on the subject was developing and changing throughout that period. It is possible, nevertheless, to identify one crucial period of innovation: a period of about one year, centering on the summer of 1861, during which Maxwell was working on, and publishing in successive installments, a paper entitled “On Physical Lines of Force.” It was during that period that Maxwell modified one of the fundamental electromagnetic equations through the introduction of a new term called the displacement current, thereby rendering the set of foundational equations complete and consistent; and it was also during that period, in conjunction with the introduction of the displacement current, that Maxwell took the crucial first steps toward the unification of electromagnetism and optics.

Type
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Innovation in Maxwell's Electromagnetic Theory
Molecular Vortices, Displacement Current, and Light
, pp. 1 - 4
Publisher: Cambridge University Press
Print publication year: 1992

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  • Introduction
  • Daniel M. Siegel, University of Wisconsin, Madison
  • Book: Innovation in Maxwell's Electromagnetic Theory
  • Online publication: 24 October 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511529290.002
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  • Introduction
  • Daniel M. Siegel, University of Wisconsin, Madison
  • Book: Innovation in Maxwell's Electromagnetic Theory
  • Online publication: 24 October 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511529290.002
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Introduction
  • Daniel M. Siegel, University of Wisconsin, Madison
  • Book: Innovation in Maxwell's Electromagnetic Theory
  • Online publication: 24 October 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511529290.002
Available formats
×