Automatic door with balanced movement consisting of a frame and a leaf , operated by a linear motor where the linear motor is composed of a roller carriage , an L-shaped running profile located in the horizontal section of the door frame, and a cover which closes laterally the running profile , whereby: • The roller carriage moves along the inside of the running profile , has rollers on its side and is divided into a major block containing a set of coils as well as an electronic block , the major block also comprising a pair of brushes protruding laterally beyond the rollers at the beginning and another pair of brushes protruding laterally beyond the rollers at the end, and a minor block , located closer to the hinge area than the major block, from the underside of which protrudes the shaft from which hangs the leaf with the capacity to rotate on the shaft ; • The L-shaped running profile comprises an inner side wall and a top inner wall , the running profile further incorporating within it a roller track on which the rollers rotate freely, a control unit which controls the electronic block , two power supply tracks located along the inner side wall on which the brushes (101 and 102) contact and move, and an alignment of magnets that extend along the entire path of the roller carriage , arranged on the top inner wall , so that, in any position of the roller carriage, the coil assembly always faces the magnets; • The cover comprises an inner wall and detection means operatively connected to the control unit , said detection means being located on the inner wall of the cover , and detecting the position and speed of the electronic block , whereby the control unit manages the voltage and polarity of the electrical supply tracks. • The roller carriage moves along the inside of the running profile , has rollers on its side and is divided into a major block containing a set of coils as well as an electronic block , the major block also comprising a pair of brushes protruding laterally beyond the rollers at the beginning and another pair of brushes protruding laterally beyond the rollers at the end, and a minor block , located closer to the hinge area than the major block, from the underside of which protrudes the shaft from which hangs the leaf with the capacity to rotate on the shaft ; • The L-shaped running profile comprises an inner side wall and a top inner wall , the running profile further incorporating within it a roller track on which the rollers rotate freely, a control unit which controls the electronic block , two power supply tracks located along the inner side wall on which the brushes (101 and 102) contact and move, and an alignment of magnets that extend along the entire path of the roller carriage , arranged on the top inner wall , so that, in any position of the roller carriage, the coil assembly always faces the magnets; • The cover comprises an inner wall and detection means operatively connected to the control unit , said detection means being located on the inner wall of the cover , and detecting the position and speed of the electronic block , whereby the control unit manages the voltage and polarity of the electrical supply tracks. <EOS>