Lorentz Force
The electromagnetic field exerts the following force (often called the Lorentz force) on charged particles:
where all boldfaced quantities are vectors: F is the force that a charge q experiences, E is the electric field at the location of the charge, v is the velocity of the charge, B is the magnetic field at the location of the charge.
The above equation illustrates that the Lorentz force is the sum of two vectors. One is the cross product of the velocity and magnetic field vectors. Based on the properties of the cross product, this produces a vector that is perpendicular to both the velocity and magnetic field vectors. The other vector is in the same direction as the electric field. The sum of these two vectors is the Lorentz force.
Therefore, in the absence of a magnetic field, the force is in the direction of the electric field, and the magnitude of the force is dependent on the value of the charge and the intensity of the electric field. In the absence of an electric field, the force is perpendicular to the velocity of the particle and the direction of the magnetic field. If both electric and magnetic fields are present, the Lorentz force is the sum of both of these vectors.
Read more about this topic: Classical Electromagnetism
Famous quotes containing the word force:
“What I am anxious to do is to get the best bill possible with the least amount of friction.... I wish to avoid [splitting our party]. I shall do all in my power to retain the corporation tax as it is now and also force a reduction of the [tariff] schedules. It is only when all other efforts fail that I’ll resort to headlines and force the people into this fight.”
—William Howard Taft (1857–1930)