Rigidity (electromagnetism)

The magnetic rigidity describes the property of a fast charged particle, ' turn ' by magnetic fields to leave its orbit more or less well. They are obtained by equating the Lorentz force and centripetal force:

In which

  • The strength of the magnetic field
  • The radius of curvature of the particle
  • The Lorentz factor
  • The velocity of the particle
  • Its mass
  • The charge.

The magnetic rigidity is usually stated in Tm ( Tesla x meter ).

Importantly, this value is in particle accelerators, cyclotrons and synchrotrons in particular: The higher will be the energy, the greater the speed and the Lorentz factor and thus the magnetic rigidity. Since the strength of the magnetic field, however, can not be increased arbitrarily, instead the radius of the system must be chosen sufficiently large. The strongest dipole current synchrotrons have a maximum field strength of 8.6 T (see LHC).

  • Magnetism
Dipole magnet
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