In physics, the Lorentz force is the force exerted on a charged particle in an electromagnetic field. The particle will experience an electric force qE and a magnetic force qv × B. Combined they give the Lorentz force equation
where E is the electric field, B is the magnetic field, q is the charge of the particle, v is its current velocity (expressed as a vector), and × is the cross product.
Thus an electronq will simply be accelerated in the same linear orientation as the E field, but that electron will spiral when travelling through the B field, due to the orientation of the cross product operator, by the right-hand rule.
In physics, the Lorentzforce is the force exerted on a charged particle in an electromagnetic field.
The Lorentzforce equation can be written in covariant form in terms of the field strength tensor (cgs units).
The Lorentzforce can also act on a current carrying conductor, in this case called Laplace Force, by the interaction of the conduction electrons with the atoms of the conductor material.
Thus, using special relativity, magnetic forces are a manifestation of electrostatic forces of charges in motion and may be predicted from knowledge of the electrostatic forces and the velocity of movement (relative to some observer) of the charges.
Thus, according to Einstein's field transformation equations (that is, the Lorentz transformation of the field from a proper reference frame to a non-moving reference frame), part of it is manifested as an electric field component.
Because the Lorentzforce is charge-sign-dependent (see above), it results in charge separation when a conductor with current is placed in a transverse magnetic field, with a buildup of opposite charges on two opposite sides of conductor in the direction normal to the magnetic field, and the potential difference between these sides can be measured.
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