A device for electrical power supply and/or data supply to terminal devices that are capable of transmitting and/or receiving data signals via inductive coupling, comprising: - a longitudinally extending support means; - a number of terminal devices (31, 32, 33) that may have different widths in the direction of longitudinal extension of the support means and which come in the form of narrow (31, 33) or of wider terminal devices; - wherein the support means allows the terminal devices (31, 32, 33) to be supported in a row, side by side, optionally with gaps therebetween, and for this purpose comprises a support rail which allows the terminal devices to be freely positioned at any location along the support rail; - a plurality of adjacently arranged transmitting coils along the support means, wherein at least some of the transmitting coils have a dimension in the longitudinal direction of the support means which is of the same order of magnitude as the width of narrow terminal devices (31, 33); - wherein, for generating magnetic field lines, the transmitting coils are designed to have a usable portion parallel to the longitudinal extension of the support means and can be switched individually, or can be interconnected to form groups, wherein the interconnecting results in virtually longer coils having a common magnetic field to be able to serve wider terminal devices; - wherein at least some of the terminal devices (31, 32, 33) have at least one respective receiving coil that spans a respective plane transverse to the usable portion of the magnetic field lines of the transmitting coils; - wherein the terminal devices (31, 32, 33) with their receiving coils can be geometrically associated with the individual transmitting coils or with the transmitting coils connected into groups in such a way that electromagnetic couplings are used for power supply and/or data supply only between predetermined transmitting coils and receiving coils; - wherein, by applying power to individual transmitting coils or to interconnected transmitting coil groups, one or a plurality of the terminal devices are supplied with power and/or with data signals in a contactless manner. - a longitudinally extending support means; - a number of terminal devices (31, 32, 33) that may have different widths in the direction of longitudinal extension of the support means and which come in the form of narrow (31, 33) or of wider terminal devices; - wherein the support means allows the terminal devices (31, 32, 33) to be supported in a row, side by side, optionally with gaps therebetween, and for this purpose comprises a support rail which allows the terminal devices to be freely positioned at any location along the support rail; - a plurality of adjacently arranged transmitting coils along the support means, wherein at least some of the transmitting coils have a dimension in the longitudinal direction of the support means which is of the same order of magnitude as the width of narrow terminal devices (31, 33); - wherein, for generating magnetic field lines, the transmitting coils are designed to have a usable portion parallel to the longitudinal extension of the support means and can be switched individually, or can be interconnected to form groups, wherein the interconnecting results in virtually longer coils having a common magnetic field to be able to serve wider terminal devices; - wherein at least some of the terminal devices (31, 32, 33) have at least one respective receiving coil that spans a respective plane transverse to the usable portion of the magnetic field lines of the transmitting coils; - wherein the terminal devices (31, 32, 33) with their receiving coils can be geometrically associated with the individual transmitting coils or with the transmitting coils connected into groups in such a way that electromagnetic couplings are used for power supply and/or data supply only between predetermined transmitting coils and receiving coils; - wherein, by applying power to individual transmitting coils or to interconnected transmitting coil groups, one or a plurality of the terminal devices are supplied with power and/or with data signals in a contactless manner.