A ferromagnetic body moving through a constant external magnetic field can indeed obtain an induced magnetic moment, primarily due to Faraday's law, which leads to the generation of eddy currents if the body is also a conductor. These eddy currents can create additional magnetic fields, while the external magnetic field can align the magnetic moments of the ferromagnetic material. The detection of this induced field is possible, though the specifics depend on the conditions of movement and the medium surrounding the body. Acceleration of the body is not strictly necessary to produce induced currents; however, the nature of the surrounding medium, such as whether it is conducting or non-conducting, can influence the outcome. Understanding these interactions is crucial for applications in electromagnetism and magnetic field detection.
