Electrical machine, having a primary part comprising a first iron core, having a secondary part comprising a second iron core, having an air gap between the primary part and the secondary part, having an air gap winding in the air gap, which winding comprises at least two phases (4a, 4b) and is arranged directly on the first iron core of the primary part, having magnetic poles which are arranged alternately on the second iron core of the secondary part, having a respective local magnetic circuit which is formed by means of a pair of the magnetic poles (9a, 9b), the iron core in the secondary part, twice through the air gap between the two magnets of the pair of magnetic poles (9a, 9b) and the iron core in the primary part, wherein the air gap winding is arranged relative to the magnetic poles in such a manner that, for each magnetic pole and for each phase (4a, 4b), a respective winding strand (12a, 12b) lies in the air gap, namely, perpendicularly to a magnetic flux density (11a, 11b) in the air gap and also perpendicularly to a direction of movement of the secondary part, wherein mutually parallel, directly neighbouring winding strands (12a, 12b) of a phase (4a, 4b) of the air gap winding in the air gap are connected by head pieces (12c, 12d) which alternate at both ends to form a respective conductor, wherein the head pieces (12c, 12d) are connected to the winding strands (12a, 12b) such that they are arranged in alternating manner in meandering form, wherein the primary part is provided additionally with a slot winding, wherein the slot winding comprises at least two phases (5a, 5b) and is arranged in slots of the iron core of the primary part, wherein the slot winding is arranged relative to the magnetic poles in such a manner that, for the slot winding for each magnetic pole (9a, 9b) and for each phase (5a, 5b), a respective winding strand (14a, 14b) parallel to the winding strand (12a, 12b) of the air gap winding that is associated with the same magnetic pole (9a, 9b) lies in the slot, wherein mutually parallel, directly neighbouring winding strands (14a, 14b) of a phase (5a, 5b) of the slot winding in a slot are connected by head pieces (14c, 14d) which alternate at both ends to form a respective conductor, wherein the head pieces (14c, 14d) are connected to the winding strands (14a, 14b) so that they are arranged in alternating manner in meandering form, and wherein the winding strands (12a, 12b) of the first phase of the air gap winding and the winding strands (14a, 14b) of the first phase of the slot winding exhibit a positional offset (a) relative to each other which is determined by the numbers of phases and the air gap winding and the slot winding are operable by a control arrangement that is synchronized alternately to the position of the magnetic pole. having a primary part comprising a first iron core, having a secondary part comprising a second iron core, having an air gap between the primary part and the secondary part, having an air gap winding in the air gap, which winding comprises at least two phases (4a, 4b) and is arranged directly on the first iron core of the primary part, having magnetic poles which are arranged alternately on the second iron core of the secondary part, having a respective local magnetic circuit which is formed by means of a pair of the magnetic poles (9a, 9b), the iron core in the secondary part, twice through the air gap between the two magnets of the pair of magnetic poles (9a, 9b) and the iron core in the primary part, wherein the air gap winding is arranged relative to the magnetic poles in such a manner that, for each magnetic pole and for each phase (4a, 4b), a respective winding strand (12a, 12b) lies in the air gap, namely, perpendicularly to a magnetic flux density (11a, 11b) in the air gap and also perpendicularly to a direction of movement of the secondary part, wherein mutually parallel, directly neighbouring winding strands (12a, 12b) of a phase (4a, 4b) of the air gap winding in the air gap are connected by head pieces (12c, 12d) which alternate at both ends to form a respective conductor, wherein the head pieces (12c, 12d) are connected to the winding strands (12a, 12b) such that they are arranged in alternating manner in meandering form, wherein the primary part is provided additionally with a slot winding, wherein the slot winding comprises at least two phases (5a, 5b) and is arranged in slots of the iron core of the primary part, wherein the slot winding is arranged relative to the magnetic poles in such a manner that, for the slot winding for each magnetic pole (9a, 9b) and for each phase (5a, 5b), a respective winding strand (14a, 14b) parallel to the winding strand (12a, 12b) of the air gap winding that is associated with the same magnetic pole (9a, 9b) lies in the slot, wherein mutually parallel, directly neighbouring winding strands (14a, 14b) of a phase (5a, 5b) of the slot winding in a slot are connected by head pieces (14c, 14d) which alternate at both ends to form a respective conductor, wherein the head pieces (14c, 14d) are connected to the winding strands (14a, 14b) so that they are arranged in alternating manner in meandering form, and wherein the winding strands (12a, 12b) of the first phase of the air gap winding and the winding strands (14a, 14b) of the first phase of the slot winding exhibit a positional offset (a) relative to each other which is determined by the numbers of phases and the air gap winding and the slot winding are operable by a control arrangement that is synchronized alternately to the position of the magnetic pole.