Physics · Glossary

What is Lorentz force?

Definition 17.1 University Physics — Year 1 · Chapter 17 — Charged Particles in E and B Fields

A particle of charge qq moving at velocity v\vect v in an electric field E\vect E and a magnetic field B\vect B receives the force

F=q(E+vB).\vect F = q\big(\vect E + \vect v\wedge\vect B\big) .

The electric part is along E\vect E (or opposite, for q<0q < 0) and independent of the motion; the magnetic part is perpendicular both to v\vect v and to B\vect B, proportional to the speed, and vanishes for a particle at rest. Units: E\vect E in V/m\mathrm{V}/\mathrm{m} (or N/C\mathrm{N}/\mathrm{C}), B\vect B in teslas (T\mathrm{T}): 1T=1N/(Am)1\,\mathrm{T} = 1\,\mathrm{N}/(\mathrm{A}\,\mathrm{m}).

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