An insulated box, suitable as a refrigerator, having readily accessible conductor current tap capabilities for electrical/electronic components within the box. The box has a wall made with electrically separated layers and having an electrical conductor incorporated between the layers. The components are connected to the conductor via entry points through which a conductive member can penetrate one of the layers and thereby establish contact between the conductor and electronic components. Thereby it is achieved that electrical components can be fitted to the inner surface of the box by use of the conductor which is incorporated between the layers and without implying additional fastening of conductors to an outer surface of the box. In particular, the invention facilitates refitting of electrical components in a refrigerator.