An electrically heated air filter for an intake system of an engine of a vehicle; the air filter comprises: an outer reinforcement mesh, which is made up of a plurality of weft wires and a plurality of warp wires interlaced with one another; an inner reinforcement mesh, which is made up of a plurality of weft wires and a plurality of warp wires interlaced with one another; a filtering material panel, which is enclosed between the outer reinforcement mesh and the inner reinforcement mesh and is bent in waves; two successions of collectors, which are arranged at opposite ends of the outer reinforcement mesh and determine an electrical connection, which is partly in parallel and partly in series, of respective wires which are alternatively the warp wires or the weft wires of the outer reinforcement mesh; and a heating device, which, also using the collectors, is designed to cause an electric current to flow through part of the outer reinforcement mesh, so as to generate heat, due to the Joule effect, on the inside of the outer reinforcement mesh; wherein, in each succession of collectors, the collectors are electrically insulated from one another and rest against the respective wires (14; 15) of the outer reinforcement mesh so as to be electrically connected to the respective wires (14; 15) of the outer reinforcement mesh; the air filter is characterized in that, in each succession of collectors, the collectors alternately rest against a first portion of a surface of the respective wires (14; 15) of the outer reinforcement mesh oriented in a direction away from the filtering material panel and against a second portion of the surface of the respective wires (14; 15) of the outer reinforcement mesh oriented towards the filtering material panel. an outer reinforcement mesh, which is made up of a plurality of weft wires and a plurality of warp wires interlaced with one another; an inner reinforcement mesh, which is made up of a plurality of weft wires and a plurality of warp wires interlaced with one another; a filtering material panel, which is enclosed between the outer reinforcement mesh and the inner reinforcement mesh and is bent in waves; two successions of collectors, which are arranged at opposite ends of the outer reinforcement mesh and determine an electrical connection, which is partly in parallel and partly in series, of respective wires which are alternatively the warp wires or the weft wires of the outer reinforcement mesh; and a heating device, which, also using the collectors, is designed to cause an electric current to flow through part of the outer reinforcement mesh, so as to generate heat, due to the Joule effect, on the inside of the outer reinforcement mesh; wherein, in each succession of collectors, the collectors are electrically insulated from one another and rest against the respective wires (14; 15) of the outer reinforcement mesh so as to be electrically connected to the respective wires (14; 15) of the outer reinforcement mesh; the air filter is characterized in that, in each succession of collectors, the collectors alternately rest against a first portion of a surface of the respective wires (14; 15) of the outer reinforcement mesh oriented in a direction away from the filtering material panel and against a second portion of the surface of the respective wires (14; 15) of the outer reinforcement mesh oriented towards the filtering material panel.