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Lorentz force

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In physics, the Lorentz force is the force exerted on a charged particle in an electromagnetic field. The particle will experience a force due to electric field of qE, and due to the magnetic field qv × B. Combined they give the Lorentz force equation (or law):

where

F is the force (in newtons)
E is the electric field (in volts per meter)
B is the magnetic field (in webers per square meter, or equivalently, teslas)
q is the electric charge of the particle (in coulombs)
v is the instantaneous velocity of the particle (in meters per second)
and × is the cross product.

Thus a positively charged particle will be accelerated in the same linear orientation as the E field, but will curve perpendicularly to the B field according to the right-hand rule.


Alternative form

Equivalently, we can express the Lorentz force law in terms of the electric charge density ρ and current density J as

F=Q/c[V*H]+Q*E

c = speed of light. if there is an electronic filed then you also have q*e

Applications

The Lorentz force is a principle exploited in many devices including:

See also

Reference

  • Serway and Jewett (2004). Physics for Scientists and Engineers with Modern Physics. Thomson Brooks/Cole. ISBN 053440846X.