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Example text
97) define the vector potentials up to the gradient of some functions It turns out that in many cases it is possible to describe the fields E and B with two or even one component of the vector potential, and this fact allows us to simplify the field determination to a great extent. 5 Equations for the Fields E and B; Electromagnetic Potentials 39 where A* and A are called the vector potentials of the magnetic and electric types, respectively. It is clear that an infinite number of vector potentials describe the same electromagnetic field. For instance, adding functions grad
2a) caused by all generators which are located outside this surface. In other words, this flux characterizes the difference between the amount of charges, which arrive and leave this volume each second, and this motion of charges is caused by external generators only. The term defines the flux of the current density through the same closed surface caused by the electric field of the charge ~o( p) dS. Thus, in our approximation, Eq. 54), the flux of the current density due to the external generators, such as charges and a change of the magnetic field with time, is compensated by the flux caused by the charge ~o(p) dS in the vicinity of point p.