The new 3-D numerical model studying evolution of force-free electric
currents in the solar atmosphere is presented. The initial dipole magn
etic field is considered in a simplified active region. Starting from
a low electric current, which penetrates the photosphere, and increasi
ng the current intensity, the path of force-free electric current and
the corresponding magnetic field are computed. The virtual mirror curr
ent representing the effect of the inertial photosphere is considered.
The single and the multiple current paths are compared. For the singl
e path case, it was found that an arch-shape electric current is shear
ed with the increasing current intensity, then screwed into a current
loop with the helical structure and when the electric current generate
s a magnetic field greater than the initial dipole magnetic field the
current path becomes unstable. During all this process the current pat
h moves upwards. Although the multiple current paths show more complex
internal structures of electric currents, the global aspect of these
processes remains the same. The relevance of this modelling for proces
ses in the solar atmosphere is discussed.