Charging apparatus for wirelessly charging a rechargeable electrical energy store of a mobile terminal, having - a primary coil apparatus and a first control apparatus operatively connected thereto for at least controlling the intensity and duration of the alternating magnetic field that can be produced by the primary coil apparatus, and - a housing, in which the first control apparatus is arranged, wherein the housing has at least one air entry opening and at least one air exit opening, wherein the at least one air exit opening of the housing is arranged in one side of the housing, the exterior of which is at least partially the contact surface for the mobile terminal and is designed such that air flowing out of the housing of the charging apparatus is directed towards a mobile terminal situated on the contact surface, characterised in that, the charging apparatus also has - a heat sink, which is arranged in the housing, - an active air supply apparatus, which is associated with the heat sink, which is set up to actively supply the heat sink with ambient air that can flow in, at least also through the at least one air entry opening, - a temperature sensor apparatus, which is associated with the heat sink, for sensing the temperature of the heat sink, and - a second control apparatus, which has a signal connection to the temperature sensor apparatus and is operatively connected to the active air supply apparatus, and that is set up to be able to activate the active air supply apparatus should a predeterminable first limit temperature of the heat sink be reached or exceeded, wherein the second control apparatus also has a signal connection to the first control apparatus and is set up to activate the active air supply apparatus only if wireless charging of an electrical energy store of a mobile terminal is also performed when or after the first limit temperature of the heat sink is reached or exceeded. - a primary coil apparatus and a first control apparatus operatively connected thereto for at least controlling the intensity and duration of the alternating magnetic field that can be produced by the primary coil apparatus, and - a housing, in which the first control apparatus is arranged, wherein the housing has at least one air entry opening and at least one air exit opening, wherein the at least one air exit opening of the housing is arranged in one side of the housing, the exterior of which is at least partially the contact surface for the mobile terminal and is designed such that air flowing out of the housing of the charging apparatus is directed towards a mobile terminal situated on the contact surface, characterised in that, the charging apparatus also has wherein the housing has at least one air entry opening and at least one air exit opening, wherein the at least one air exit opening of the housing is arranged in one side of the housing, the exterior of which is at least partially the contact surface for the mobile terminal and is designed such that air flowing out of the housing of the charging apparatus is directed towards a mobile terminal situated on the contact surface, characterised in that, the charging apparatus also has - a heat sink, which is arranged in the housing, - an active air supply apparatus, which is associated with the heat sink, which is set up to actively supply the heat sink with ambient air that can flow in, at least also through the at least one air entry opening, - a temperature sensor apparatus, which is associated with the heat sink, for sensing the temperature of the heat sink, and - a second control apparatus, which has a signal connection to the temperature sensor apparatus and is operatively connected to the active air supply apparatus, and that is set up to be able to activate the active air supply apparatus should a predeterminable first limit temperature of the heat sink be reached or exceeded, wherein the second control apparatus also has a signal connection to the first control apparatus and is set up to activate the active air supply apparatus only if wireless charging of an electrical energy store of a mobile terminal is also performed when or after the first limit temperature of the heat sink is reached or exceeded.