Charge particle in magnetic field

In summary, the conversation involves a problem with finding the motion and integrals in a magnetic field, specifically given the potential in cylinder coordinates A=(0,A(r,z),0). The problem is part of a course on analytical mechanics, using the textbook "Mechanics" by Landau Lifshitz. The problem is not mentioned in the book and the person has looked in other books on electromagnetism (Jackson, Greiner, Griffiths) without success. They are seeking help, and when asked for more specifics, they mention that they are trying to determine the Lagrangian, which can be written as T-V-M, where M is a generalized potential not derivable from an ordinary potential. They are not aware of this and
  • #1
liran avraham
7
0
i have a problem to find the motion of motion and integrals in a magnetic field given the potential in cylinder quardinate A=(0,A(r,z),0) and i have trouble to even begin with.
its part on a course called analitical mechanics with the course book ''mechanics'' by landau lifhsitz'
the problem even don't mention in the book and i looked it in e.m book to no avail (jackson , greiner, griffiths)
help please
 
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  • #2
Could you be more specific. Are you looking to determine the Lagrangian for example?
 
  • #3
yes
 
  • #4
Are you aware that the Lagrangian L can be written as T - V - M where M is referred to as a generalized potential not derivable from an ordinary potential as V which depends only on the coordinates and maybe time. M is a function of the coordinate, and velocity,and maybe time For a charged particle in a EM field
M= - (e/c)V⋅A.
 
  • #5
no i didnt know, i will try it
thank you
 

Related to Charge particle in magnetic field

1. What is a charge particle in a magnetic field?

A charge particle in a magnetic field is a particle with an electric charge that is moving through a region where there is a magnetic field present. The presence of the magnetic field causes the particle to experience a force, known as the Lorentz force, which can alter its path or speed.

2. How does a magnetic field affect a charge particle?

A magnetic field can affect a charge particle in several ways. Firstly, it can cause the particle to experience a force, either pushing it in a certain direction or causing it to change its speed. Additionally, the magnetic field can also cause the particle's path to curve, as it follows the direction of the magnetic field lines.

3. What is the relationship between a charge particle's velocity and the magnetic field it is in?

The velocity of a charge particle is directly related to the strength of the magnetic field it is in. As the strength of the magnetic field increases, the force on the particle also increases, causing its velocity to change. Similarly, as the velocity of the particle changes, the strength of the magnetic field can also be affected.

4. What is the difference between a positive and negative charge particle in a magnetic field?

The difference between a positive and negative charge particle in a magnetic field lies in the direction of the force they experience. A positive charge particle will experience a force that is perpendicular to both its velocity and the direction of the magnetic field, while a negative charge particle will experience a force in the opposite direction.

5. How is a charge particle's path affected by both an electric and magnetic field?

When both an electric and magnetic field are present, a charge particle's path will be affected by the combined forces of both fields. The direction and strength of the forces will determine the resulting path of the particle, which can be either curved or straight depending on the relative strengths and orientations of the two fields.

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