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1 results

  • 7 - How to Rewrite the History of Electromagnetism

  • from Case Study II - Maxwell’s Equations
  • Malcolm S. Longair, University of Cambridge
  • Book:
    Theoretical Concepts in Physics
    Published online:
    27 March 2020
    Print publication:
    16 April 2020, pp 123-142

  • Summary

    Maxwell's equations are derived starting with a mathematical structure which is then given physical meaning with the minimum of assumptions. From these, all the laws of electromagnetism, such as Ampère’s law, Faraday’s law of electromagnetic induction, Coulomb’s law and the Biot-Savart law are derived. It is shown how the equations can be applied to electromagnetic phenomena in material media. It is demonstrated that, in the presence of electromagnetic fields, there is an electromagnetic energy density in the vacuum.