# Lorentz force

In physics (particularly in electromagnetism) the

**Lorentz force**is the combination of electric and magnetic force on a point charge due to electromagnetic fields. A particle of charge*q*moving with velocity**v**in the presence of an electric field**E**and a magnetic field**B**experiences a force \mathbf{F} = q\mathbf{E} + q\mathbf{v} \times \mathbf{B} (in SI unitsIn SI units, is measured in teslas (symbol: T). In Gaussian-cgs units, is measured in gauss (symbol: G). See e.g. )The -field is measured in amperes per metre (A/m) in SI units, and in oersteds (Oe) in cgs units. ). Variations on this basic formula describe the magnetic force on a current-carrying wire (sometimes called Laplace force), the electromotive force in a wire loop moving through a magnetic field (an aspect of Faraday's law of induction), and the force on a charged particle which might be traveling near the speed of light ( relativistic form of the Lorentz force). The first derivation of the Lorentz force is commonly attributed to Oliver Heaviside in 1889, although other historians suggest an earlier origin in an 1865 paper by James Clerk Maxwell. Hendrik Lorentz derived it in 1895, a few years after Heaviside.## Equation

### Charged particle

(of charge*q*) in motion (instantaneous velocity**v**). The**E**field and**B**field vary in space and time.]] The force**F**acting on a particle of electric charge*q*with instantaneous velocity**v**, due to an external electric field**E**and magnetic field**B**, is given by (in SI units): Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760,