Magnetic field

A vector-valued function of space-time variables describing a force acting on a moving electrical charge and proportional to the charge velocity in the following sense. The total force which acts on a charge moving with velocity is given by the Lorentz force law

where is the electric intensity field. The vector is called the magnetic field (see, e.g., [a1], Sect. 1). However, quite often is considered as a vector of magnetic induction (see, e.g., [a2], Sect. 29), while the vector related to by the material equation is named magnetic intensity field or simply magnetic field. Here, denotes the material permeability. Together with the electric intensity field , the vector satisfies the Maxwell equations.

References

[a1]	R. Feynman, R. Leighton, M. Sands, "The Feynman lectures on physics" , 2 , Addison-Wesley (1964)
[a2]	L.D. Landau, Ye.M. Lifshits, "Course of theoretical physics: Electrodynamics of continuous media" , VIII , Nauka (1992) (In Russian) (English transl.: Pergamon)