An electronic device may have a source of magnetic field such as a magnet that produces a static magnetic field. A flexible printed circuit may have a flexible tail that surrounds a central portion. The central portion may overlap the magnet. Electrical components may be mounted to the central portion. To prevent undesired vibrations and noise due to interactions between magnetic fields induced by signals flowing in signal lines in the flexible printed circuit and the static magnetic field, the signal lines may be vertically stacked or may be routed along a curved path that does not overlap the magnet. The tail may serve as a service loop that allows a portion of a housing for the device and electrical components mounted to the central portion in alignment with windows in the housing to be detached for servicing.