Governing Electromagnetics: Maxwell’s Equations
Abstract
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 timevarying magnetic fields. Similarly, magnetic fields are induced by electric currents and by timevarying electric fields.
Keywords
Point Charge Current Element Straight Wire Electric Flux Phenomenological TermPreview
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