The module (1) has a current source delivering an operating current (I1) to an LED (4), where the current source and the LED are encapsulated in a same enclosed volume (V). An electrical connection unit is connected to an electrical power grid, and a piece interchangeable unit is provided for a part with a filament bulb of type used in existing hand-pieces. The current source is powered from an outer side of the enclosed volume by a voltage source, and is comprised of a converting unit for converting the voltage supplied by an external voltage source into operating current for the LED.
