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A magneto inductive, flow measuring device comprising a measuring tube and at least one magnet system arranged on the measuring tube. The magnet system has two coil systems, which lie opposite one another on or in the measuring tube, and each coil system includes at least one pole shoe. A first of t

A magneto inductive, flow measuring device comprising a measuring tube and at least one magnet system arranged on the measuring tube. The magnet system has two coil systems, which lie opposite one another on or in the measuring tube, and each coil system includes at least one pole shoe. A first of the two coil systems is connected via at least one flux return, sheet metal length with the second or an additional coil system, and wherein each of the at least two coil systems has at least two coils, which are arranged peripherally distributed relative to the measuring tube on the pole shoe.

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1. A magneto inductive flow measuring device, comprising: a measuring tube; andat least one magnet system arranged on the measuring tube, wherein:said at least one magnet system has two coil systems, which lie opposite one another on or in said measuring tube, each of said coil system includes at le

1. A magneto inductive flow measuring device, comprising: a measuring tube; andat least one magnet system arranged on the measuring tube, wherein:said at least one magnet system has two coil systems, which lie opposite one another on or in said measuring tube, each of said coil system includes at least one pole shoe;a first of said two coil systems is connected via at least one flux return, sheet metal length with the second or an additional coil system; andeach of said at least two coil systems has at least two coils, which are arranged peripherally distributed relative to said measuring tube on said at least one pole shoe. 2. The magneto inductive flow measuring device as claimed in claim 1, wherein: said at the at least two coil systems form a magnetic field;said at least two coils and said at least one pole shoe form a pole of the magnetic field and the magnetic field forms at least over the region of said at least one pole shoe between said two coils. 3. The magneto inductive flow measuring device as claimed in claim 1, wherein: said at least one magnet system has a modular construction, wherein individual components are arranged peripherally distributed around said measuring tube and in the mounted state form an annular arrangement closed around said measuring tube; andsaid components comprise at least said pole shoes of said coil systems, the coils of said coil systems and said flux return, sheet metal lengths. 4. The magneto inductive flow measuring device as claimed in claim 1, wherein: said pole shoes of said coil systems and said flux return, sheet metal lengths have, in each case, lateral segments, which overlap one another. 5. The magneto inductive flow measuring device as claimed in claim 4, wherein: each case, at least one coil of one of said coil systems connects, in each case, a lateral segment of said pole shoe with a lateral segment of said flux return, sheet metal length. 6. The magneto inductive flow measuring device as claimed in claim 5, wherein: said coil of said coil system has a coil core, which serves at the same time as a connecting element between said pole shoe and said flux return, sheet metal length and which is oriented perpendicular to the measuring tube axis. 7. The magneto inductive flow measuring device, as claimed in claim 1, wherein: said flux return, sheet metal lengths are arranged in a plane with said coils, which plane extends perpendicularly to the circumference of said measuring tube, for lessening in-coupling into a housing. 8. The magneto inductive flow measuring device as claimed in claim 1, wherein: said flux return, sheet metal length is spaced from said pole shoe in the radial direction from a measuring tube axis. 9. The magneto inductive flow measuring device as claimed in claim 1, wherein: the separation between said flux return, sheet metal length and said pole shoe is bridged by said coils. 10. The magneto inductive flow measuring device as claimed in claim 1, wherein: said flux return, sheet metal lengths extend at less than 50% around the periphery of said measuring tube. 11. The magneto inductive flow measuring device as claimed in claim 1, wherein: at least one of said pole shoes and/or said flux return, sheet metal lengths has one or a plurality of elongated holes for positioning and locking said at least one magnet system around said measuring tube. 12. The magneto inductive flow measuring device as claimed in claim 1, wherein: an oscillation damping component or an oscillation damping coating is arranged between the one of said coils and the one of said pole shoes. 13. The magneto inductive flow measuring device as claimed in claim 1, wherein: said pole shoe and/or said flux return, sheet metal length are/is embodied terminally angled with a central region and two laterally angled segments, each of which has an angle of greater than 10° relative to the central region and said measuring tube. 14. The magneto inductive flow measuring device as claimed in claim 1, wherein: said flux return, sheet metal lengths extend at less than 40% around the periphery of said measuring tube. 15. The magneto inductive flow measuring device as claimed in claim 1, wherein: said flux return, sheet metal lengths extend at less than 35% around the periphery of said measuring tube.