System having at least one first adapter arrangement which can be connected to a power tool on the one hand and at least one second adapter arrangement which can be connected to at least one electrical appliance on the other hand, in particular to a light source (4.1) and/or a suction device (4.2) and/or a heating device and/or a ventilation device and/or a filter device, wherein the at least one first adapter arrangement comprises a radio module for transmitting data to the at least one second adapter arrangement, and wherein the first adapter arrangement has a first interface (1.1) which is designed to be electrically and/or mechanically compatible with a battery pack receiving interface of the electric machine tool, and further has a second interface (1.2) which is designed to be electrically and/or mechanically compatible with at least one interface (6.1) of a battery pack for the electric machine tool and/or itself has at least one battery pack, wherein the at least one second adapter arrangement comprises a radio module for receiving data from the at least one first adapter arrangement and is further provided for providing or disconnecting an electrical connection of the electrical appliance connected to the second adapter arrangement to an electrical energy source and for this purpose has an output-side interface (3.2) which can be connected to the at least one electrical appliance and a controllable switching device (3.3), and wherein a controllable switching device (3.3) is electrically connected to the radio module for receiving data, characterised in that - the at least one second adapter arrangement has an input-side interface (3.1) which can be connected to the electrical power source and the controllable switching device (3.3), - the second adapter arrangement is arranged between the at least one electrical appliance and the electrical energy source, and - the controllable switching device (3.3) is arranged to selectively provide or disconnect an electrical connection of the input-side interface (3.1) to the output-side interface (3.2). wherein the at least one first adapter arrangement comprises a radio module for transmitting data to the at least one second adapter arrangement, and wherein the first adapter arrangement has a first interface (1.1) which is designed to be electrically and/or mechanically compatible with a battery pack receiving interface of the electric machine tool, and further has a second interface (1.2) which is designed to be electrically and/or mechanically compatible with at least one interface (6.1) of a battery pack for the electric machine tool and/or itself has at least one battery pack, wherein the at least one second adapter arrangement comprises a radio module for receiving data from the at least one first adapter arrangement and is further provided for providing or disconnecting an electrical connection of the electrical appliance connected to the second adapter arrangement to an electrical energy source and for this purpose has an output-side interface (3.2) which can be connected to the at least one electrical appliance and a controllable switching device (3.3), and wherein a controllable switching device (3.3) is electrically connected to the radio module for receiving data, characterised in that - the at least one second adapter arrangement has an input-side interface (3.1) which can be connected to the electrical power source and the controllable switching device (3.3), - the second adapter arrangement is arranged between the at least one electrical appliance and the electrical energy source, and - the controllable switching device (3.3) is arranged to selectively provide or disconnect an electrical connection of the input-side interface (3.1) to the output-side interface (3.2). - the at least one second adapter arrangement has an input-side interface (3.1) which can be connected to the electrical power source and the controllable switching device (3.3), - the second adapter arrangement is arranged between the at least one electrical appliance and the electrical energy source, and - the controllable switching device (3.3) is arranged to selectively provide or disconnect an electrical connection of the input-side interface (3.1) to the output-side interface (3.2).