Electromagnetic momentum of a point electric dipole in a uniform magnetic field
نویسنده
چکیده
The electromagnetic momentum of a point electric dipole in a uniform magnetic field of strength B0 of infinite extent is equal to B0 × p/4, i.e., to half the electromagnetic momentum of a macroscopic dipole of electric moment p in the same field. This result is obtained using three different methods which provide a test of the internal consistency of electrodynamics with regard to the handling of complicated singularities in the potentials, fields, and sources.
منابع مشابه
Electromagnetic momentum of an electric dipole in a uniform magnetic field
The electromagnetic momentum of an electric dipole in a uniform magnetic field of strength B0 is equal to B0×p/2, where p is the electric moment of the dipole, provided the charge and current distributions generating the electric and magnetic fields are spatially separated. In the degenerate case where these distributions fully overlap, or else are concentrated in a single point, the electromag...
متن کاملThe Secret Life of the Dipole
A new force on the magnetic dipole, which exists in the presence of both electric and magnetic fields, is described. Its origin due to the ‘hidden momentum’, implications and possible experimental tests are discussed. We are familiar with the acceleration of charged particles, such as protons and electrons, by uniform electromagnetic fields. But neutral particles can be accelerated by uniform f...
متن کاملIntroducing electromagnetic field momentum
I describe an elementary way of introducing electromagnetic field momentum. By considering a system of a long solenoid and line charge, the dependence of the field momentum on the electric and magnetic fields can be deduced. I obtain the electromagnetic angular momentum for a point charge and magnetic monopole pair partially through dimensional analysis and without using vector calculus identit...
متن کاملClassical Electromagnetic Interaction of a Point Charge and a Magnetic Moment: Considerations Related to the AharonovBohm Phase Shift
A fundamentally new understanding of the classical electromagnetic interaction of a point charge and a magnetic dipole moment through order v/c is suggested. This relativistic analysis connects together hidden momentum in magnets, Solem’s strange polarization of the classical hydrogen atom, and the Aharonov-Bohm phase shift. First we review the predictions following from the traditional particl...
متن کاملElectromagnetic Dipole Radiation Fields, Shear-Free Congruences and Complex Center of Charge World Lines
We show that for asymptotically vanishing Maxwell fields in Minkowski space with non-vanishing total charge, one can find a unique geometric structure, a null direction field, at null infinity.. From this structure a unique complex analytic world-line in complex Minkowski space that can be found and then identified as the complex center of charge. By ”sitting” in an imaginary sense, on this wor...
متن کامل