A system for supplying electrical energy to an energy-absorber mobile device (900; 1000) comprising two electrically conductive secondary terminals, said system comprising: - a power-source base consisting of a plurality of electrically conductive primary terminals, positioned on the upper surface of said base and separated by electrically non-conductive materials, said primary terminals being suited to be arranged in contact with said two secondary terminals when said mobile device (900; 1000) is positioned on said base; - a supply and control subsystem comprising a line selector whose outputs are connected to said primary terminals, a rectifier and programmable power supply which supplies energy and a mini-processor connected to said line selector and to said rectifier and programmable power supply for exchange of data and commands, said system further comprising said mobile device (900; 1000) and a contact and identification subsystem installed on board of said mobile device (900; 1000), said contact and identification subsystem comprising an energy absorber and said two secondary terminals, said mobile device (900; 1000) being suited to absorb energy while stationing on said base irrespective of its positioning on the plane of said base, wherein the said contact and identification subsystem comprises a detection circuit towards which said line selector closes an electric circuit when said outputs are connected to a pair of said primary terminals in electric contact with said two secondary terminals, in such a way that said line selector can measure a current, said detection circuit being configured to establish the connection towards the side of said energy absorber when it detects a working voltage at its inlet to start transferring energy towards said energy absorber, so as to prevent said secondary terminals to be under battery voltage if at said inlet of said detection circuit said working voltage is not present, characterized in that the said line selector has two input lines between which a voltage difference higher than zero is applied and is configured to apply said voltage difference cyclically to all possible pairs of said output lines and, consequently, to the corresponding pairs of primary terminals, based on said commands received from said mini-processor. - a power-source base consisting of a plurality of electrically conductive primary terminals, positioned on the upper surface of said base and separated by electrically non-conductive materials, said primary terminals being suited to be arranged in contact with said two secondary terminals when said mobile device (900; 1000) is positioned on said base; - a supply and control subsystem comprising a line selector whose outputs are connected to said primary terminals, a rectifier and programmable power supply which supplies energy and a mini-processor connected to said line selector and to said rectifier and programmable power supply for exchange of data and commands, said system further comprising said mobile device (900; 1000) and a contact and identification subsystem installed on board of said mobile device (900; 1000), said contact and identification subsystem comprising an energy absorber and said two secondary terminals, said mobile device (900; 1000) being suited to absorb energy while stationing on said base irrespective of its positioning on the plane of said base, wherein the said contact and identification subsystem comprises a detection circuit towards which said line selector closes an electric circuit when said outputs are connected to a pair of said primary terminals in electric contact with said two secondary terminals, in such a way that said line selector can measure a current, said detection circuit being configured to establish the connection towards the side of said energy absorber when it detects a working voltage at its inlet to start transferring energy towards said energy absorber, so as to prevent said secondary terminals to be under battery voltage if at said inlet of said detection circuit said working voltage is not present, characterized in that the said line selector has two input lines between which a voltage difference higher than zero is applied and is configured to apply said voltage difference cyclically to all possible pairs of said output lines and, consequently, to the corresponding pairs of primary terminals, based on said commands received from said mini-processor.