In physics (specifically in electromagnetism) the

F=qE+qv×B{\displaystyle \mathbf {F} =q\,\mathbf {E} +q\,\mathbf {v} \times \mathbf {B} }

(in SI units

Historians suggest that the law is implicit in a paper by James Clerk Maxwell, published in 1865.

**Lorentz force**(or**electromagnetic force**) is the combination of electric and magnetic force on a point charge due to electromagnetic fields. A particle of charge*q*moving with a velocity**v**in an electric field**E**and a magnetic field**B**experiences a force ofF=qE+qv×B{\displaystyle \mathbf {F} =q\,\mathbf {E} +q\,\mathbf {v} \times \mathbf {B} }

(in SI units

^{[1]}^{[2]}). It says that the electromagnetic force on a charge q{\displaystyle q} is a combination of a force in the direction of the electric field E{\displaystyle \mathbf {E} } proportional to the magnitude of the field and the quantity of charge, and a force at right angles to the magnetic field B{\displaystyle \mathbf {B} } and the velocity v{\displaystyle \mathbf {v} } of the charge, proportional to the magnitude of the field, the charge, and the velocity. 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 moving charged particle.Historians suggest that the law is implicit in a paper by James Clerk Maxwell, published in 1865.

^{[3]}Hendrik Lorentz arrived at a complete derivation in 1895,^{[4]}identifying the contribution of the electric force a few years after Oliver Heaviside correctly identified the contribution of the magnetic force.^{[5]}
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