Define lorentz force on a charge q inside the electric and magnetic field
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Lorentz force, the force exerted on a charged particle q moving with velocity v through an electric E and magnetic field B. The entire electromagnetic force F on the charged particle is called the Lorentz force (after the Dutch physicist Hendrik A. Lorentz) and is given by F = qE + qv × B.
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The Lorentz Force. The flow of an electric current down a conducting wire is ultimately due to the movement of electrically charged particles (in most cases, electrons) along the wire. ... The force is directed at right-angles to both the magnetic field and the instantaneous direction of motion.
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