SELF

8

S.B. Karavashkin and O.N. Karavashkina

Really, despite the equipotential lines of field of the moving source change their inclination in time, as we can see from the diagram in Fig. 5, the direction of wave propagation remains time-constant and coincides with the radius-vector of the chosen coordinate system in Fig. 4.

Fig. 5. Diagram of propagation of equipotential lines from the moving source

So, according to (20), we can write (12) as

which just proves the stated.

As we see, we returned to the expression (1) for the strength of electric field, passing by the standard derivation and basing exceptionally on the phenomenology of process. And proceeding from the said above that the superposition of models of pulsing and moving sources fully provides the model of field of any source, we can state that the yielded representation of dynamic gradient in the form (19) has general pattern and does not depend on inaccurate particular derivations conventional in the modern theoretical physics. So it is quite natural that the value of electric field strength yielded on the basis of (1) fully satisfies the divergence theorem for dynamic fields.