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In physics (specifically in electromagnetism) the 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 of

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• In physics (specifically in electromagnetism) the 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 of (in SI units). It says that the electromagnetic force on a charge q is a combination of a force in the direction of the electric field E proportional to the magnitude of the field and the quantity of charge, and a force at right angles to the magnetic field B and the velocity 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 ), 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. Hendrik Lorentz arrived at a complete derivation in 1895, identifying the contribution of the electric force a few years after Oliver Heaviside correctly identified the contribution of the magnetic force. (en)
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• Trajectory of a particle with a positive or negative charge q under the influence of a magnetic field B, which is directed perpendicularly out of the screen. (en)
• Beam of electrons moving in a circle, due to the presence of a magnetic field. Purple light revealing the electron's path in this Teltron tube is created by the electrons colliding with gas molecules. (en)
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• 2020-10-17 (xsd:date)
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• Charged particles experiencing the Lorentz force. (en)
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• Cyclotron motion.jpg (en)
• Lorentz force.svg (en)
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• For an field, a particle moving with velocity has potential momentum , so its potential energy is . For a ϕ field, the particle's potential energy is . The total potential energy is then: and the kinetic energy is: hence the Lagrangian: Lagrange's equations are . So calculating the partial derivatives: equating and simplifying: and similarly for the and directions. Hence the force equation is: (en)
• The equations of motion derived by extremizing the action : are the same as Hamilton's equations of motion: both are equivalent to the noncanonical form: This formula is the Lorentz force, representing the rate at which the EM field adds relativistic momentum to the particle. (en)
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• Derivation of Lorentz force from classical Lagrangian (en)
• Derivation of Lorentz force from relativistic Lagrangian (en)
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• In physics (specifically in electromagnetism) the 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 of (en)
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• Lorentz force (en)
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