V.4 No 1

15

Study of dynamic scalar potential

But if we try to visualise fields without an experiment and electric conductive paper, we will have to build the force and equipotential lines with standard methods - either seek new approaches which would provide the visual pattern without plotting of inherent lines of field.

One of such approaches is 3 D representation, how the field source transforms the conventional grid in the plane of investigation. To plot such grid, we have to know the main equation of the source field. Calculating the potential of this field in the nods of grid, we have to lay off its value in the third dimension of diagram. For a scalar potential such simple representation is quite convenient, as the potential is characterised by the only parameter - its value. It is especially convenient in case of dynamic fields, as offers to follow not only the space distribution of scalar potential but also the regularities of its time variation.

To demonstrate, how visual will be plots made in such way, we show in Fig. 2 the plot of stationary field potential of dipole for a plane running along the dipole axis; we plotted it on the basis of (3).

Fig. 2. Distribution of potential of electric dipole in the plane running along the dipole axis

As we see, the 3 D image allows us to evaluate visually the behaviour of field even in absence of specially plotted equipotential lines, though in this diagram we remained the equipotential lines in order to confirm the adequate approach to the visualisation (true, we did not plot them analytically but computed). With it, as we can calculate the scalar potential with any degree of accuracy, we avoid the mathematical difficulties related to the plotting of typical lines of field, and the main, we can provide in this way a simple modelling, irrespectively to, whether we study the stationary either dynamic field. So in future we will use just such method to visualise the field pattern in studying the pattern of dynamic scalar potential of dipole.