Governing Electromagnetics: Maxwell’s Equations

  • Tarek I. Zohdi
Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 64)


Some fundamental definitions and observations in conjunction with electromagnetic phenomena are:

  • If a point charge q experiences a force \({\emph \bf{\Psi}}^e\), the electric field, \({\emph \bf E}\), at a position of the charge is defined by \({\emph \bf{\Psi}}^e=q {\emph \bf E}\).

  • If the charge is moving, another force may arise, \({\emph \bf{\Psi}}^m\), which is proportional to its velocity \({\emph \bf{v}}\). This other field is denoted as the “magnetic induction” (induced force field) or just the “magnetic field,” \({\emph \bf{B}}\), such that \({\emph \bf{\Psi}}^m = {\it qv} \times{\emph \bf{B}}\).

  • If the forces occur concurrently (the charge is moving through the region possessing both electric and magnetic fields), then \({\emph \bf{\Psi}}^{em}=q{\emph \bf{E}} + {\it qv} \times{\emph \bf{B}}\).

  • Electric fields are produced by both electric charges and time-varying magnetic fields. Similarly, magnetic fields are induced by electric currents and by time-varying electric fields.


Point Charge Current Element Straight Wire Electric Flux Phenomenological Term 
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Copyright information

© Springer Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Dept. Mechanical EngineeringUniversity of CaliforniaBerkeleyUSA

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