2018/10/18 by G. Asti, Asti, G., R. Coı̈sson +1
Engineering · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #Classical Physics (physics.class-ph) #FOS: Physical sciences #Magnetic Bearings and Levitation Dynamics #Quantum and Classical Electrodynamics
paper · pdf · doi:10.48550/arxiv.1810.08558
openalex publication_date 2018/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The torque on a moving electric or magnetic dipole in slow motion is deduced using the Lorentz transformation of the fields to first order in v/c. It is shown that the obtained equations are independent of the model adopted for the dipole, whether it is of Amperian or Gilbertian type, thus showing the complete validity of the Ampère equivalence principle even in dynamical conditions. The torque is made of three terms: beside that due to the direct torque on the dipole there are two more terms: one due to the torque on the associated perpendicular dual-dipole caused by motion, while the other is the inertial torque due to the displacement of the dipole which carries with it the field linear momentum, or the hidden momentum.