How Does the Lorentz Force Fit into Classical Electromagnetism?

In summary, in classical physics, there are four forces that account for all mechanics: gravitational attraction, electromagnetic force, nuclear strong force, and nuclear weak force. However, there is also a Lorentz force on a charged particle moving through a magnetic field, which falls under the category of electromagnetic force. This is known as the Lorentz force equation, which includes both the electric and magnetic fields. It may be referred to as the Lorentz force equation for historical reasons, but it is still considered part of the electromagnetic force.
  • #1
eemaestro
6
0
I thought in classical physics, only four forces account for all mechanics:

1 gravitational attraction
2 electromagnetic force
3 nuclear strong force
4 nuclear weak force

There is also a Lorentz force on a charged particle moving through a magnetic field. How does classical EM account for this force? It does not fall in one of the above categories. I must be missing something important. What?
 
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  • #2
If you mean what I think you mean, the Lorentz force falls under the electromagnetic force. They just call it the Lorentz force equation for historical reasons. For reference, this is the equation I'm thinking of:

[tex]\vec{\mathbf{F}} = q \left( \vec{\mathbf{E}} + \vec{\mathbf{v}} \times \vec{\mathbf{B}} \right)[/tex]
 
  • #3


You are correct in stating that there are four fundamental forces in classical physics. However, the Lorentz force is still considered part of the electromagnetic force, as it arises from the interaction between charged particles and magnetic fields. This force is described by the Lorentz force law, which states that the force on a charged particle is equal to the product of its charge, velocity, and the strength of the magnetic field it is moving through. This force is essential in understanding the behavior of charged particles in magnetic fields, such as those found in motors and generators. Therefore, the Lorentz force is an important aspect of classical electromagnetism and is accounted for within the electromagnetic force.
 

Related to How Does the Lorentz Force Fit into Classical Electromagnetism?

What is the Lorentz force in Classical Electromagnetism?

The Lorentz force is a fundamental concept in Classical Electromagnetism that describes the force exerted on a charged particle in an electric and magnetic field. It is named after Dutch physicist Hendrik Lorentz, who first introduced the mathematical formula to describe this force in the late 19th century.

What is the formula for calculating the Lorentz force?

The Lorentz force is calculated using the formula F = q(E + v x B), where F is the force, q is the charge of the particle, E is the electric field, v is the velocity of the particle, and B is the magnetic field. This formula takes into account the combined effect of both the electric and magnetic fields on the charged particle.

What is the direction of the Lorentz force?

The direction of the Lorentz force depends on the orientation of the electric and magnetic fields as well as the velocity of the particle. If the particle has a positive charge, the force will be in the direction of the right-hand rule, where the thumb points in the direction of the particle's velocity, the index finger points in the direction of the magnetic field, and the middle finger points in the direction of the force.

What is the significance of the Lorentz force in Classical Electromagnetism?

The Lorentz force is significant because it helps explain the behavior of charged particles in electric and magnetic fields. It is a key concept in understanding a wide range of phenomena in electromagnetism, such as the motion of charged particles in a particle accelerator, the behavior of electrons in a cathode ray tube, and the formation of auroras in Earth's atmosphere.

How does the Lorentz force relate to the theory of Special Relativity?

The Lorentz force is closely related to the theory of Special Relativity, which describes the behavior of objects in motion at high speeds. In this theory, the electric and magnetic fields are considered to be different aspects of a single entity called the electromagnetic field. The Lorentz force is a manifestation of the interaction between a charged particle and this electromagnetic field.

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