Abstract: In this chapter we cover the fundamental aspects of time-varying electromagnetic field behavior. At first, Faradey's law (of electromagnetic induction) and Principle of charge conservation are considered. Then, we analyze the role of electric charges and work out equations governing charge distributions in case of time-varying fields. Then we proceed to another important source of electromagnetic field, namely, displacement currents. To account for all these phenomena we come up with extension to Maxwell's equations system. We also obtain separate equations for fields E and B and introduce electromagnetic potentials. Then we cover the issues relating electromagnetic energy transformations, including Joule's law and Poynting vector. Finally, we give a proof of uniqueness theorem for a forward boundary problem for time-varying electromagnetic field.
Publication Year: 2014
Publication Date: 2014-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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