Lorentz force law

Gives the total electromagnetic force on a point charge moving with velocity v in electric field E and magnetic flux density B. It is the basic link between electromagnetic fields and the motion of charged particles.

\boldsymbol{F} = q (\boldsymbol{E} + \boldsymbol{v} \times \boldsymbol{B})

What the symbols mean

force on the charge (N)
electric charge (C)
electric field strength (V/m)
velocity of the charge (m/s)
magnetic flux density (T)

About this formula

  • FieldPhysics
  • TopicElectromagnetism
  • LevelUniversity
  • Also calledLorentz force, electromagnetic force on a charge, Coulomb-Lorentz force, force on a moving charge, electric and magnetic force on a charge, electromagnetic force
  • SourceWikidata Q172137

Write it in Obsidian

MathLive is a free visual math editor for Obsidian. Run Find a formula, type “lorentz force law”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.

Related formulas