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Types of Vector Fields

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Abstract

Vector fields can be classified as

  • source fields (synonymously called lamellar, irrotational, or conservative fields) and

  • vortex fields (synonymously called solenoidal, rotational, or nonconservative fields)

Electric fields E (x,y,z) can be source or vortex fields, or combinations of both, while magnetic fields B (x,y,z) are always vortex fields (see 3 .1.4). In this text the concept of sources is consistently reserved for positive or negative electric charges only. Vortex fields are said to originate from vortices.

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© 1988 Springer-Verlag Berlin Heidelberg

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Schwab, A.J. (1988). Types of Vector Fields. In: Field Theory Concepts. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48941-9_2

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  • DOI: https://doi.org/10.1007/978-3-642-48941-9_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-48943-3

  • Online ISBN: 978-3-642-48941-9

  • eBook Packages: Springer Book Archive

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