magnetic force on a moving charge

Gives the magnetic part of the force on a point charge moving with velocity v through a magnetic field B. The force is perpendicular to both the velocity and the field, so it changes the direction of motion but not the speed.

\boldsymbol{F} = q \, \boldsymbol{v} \times \boldsymbol{B}

What the symbols mean

magnetic force on the charge (N)
electric charge (C)
velocity of the charge (m\,s^{-1})
magnetic flux density (T)

About this formula

  • FieldPhysics
  • TopicElectromagnetism
  • LevelUniversity
  • Also calledmagnetic part of the Lorentz force, force on a charge in a magnetic field, Lorentz force on moving charge, magnetic Lorentz force, magnetic induction, density of B-field
  • SourceWikidata Q30204

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