Which direction does a charged particle move in a magnetic field?

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SUMMARY

A charged particle, such as a cathode ray composed of electrons, moves in a magnetic field according to the Lorentz force law, expressed as F = q(v × B). In this equation, F represents the force acting on the particle, q is the charge, v is the velocity vector, and B is the magnetic field vector. The direction of the force is determined by the cross product of the velocity and magnetic field vectors. Understanding vectors is crucial for accurately determining the movement of charged particles in magnetic fields.

PREREQUISITES
  • Understanding of the Lorentz force law
  • Familiarity with vector mathematics
  • Knowledge of magnetic field properties
  • Basic concepts of electric charge and cathode rays
NEXT STEPS
  • Study the application of the Lorentz force in electromagnetic theory
  • Learn about vector cross products in physics
  • Explore the behavior of charged particles in different magnetic field configurations
  • Investigate the principles of cathode ray tubes and their applications
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Physics students, educators, and professionals in fields related to electromagnetism and particle physics will benefit from this discussion.

GuhaGubindam
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I understand that a cathode ray will be attracted to one pole of a magnet, while being repelled away by the other. The cathode ray, being electrons and thus negatively charged, must definitely be attracted by the positive pole of the magnet, while being repelled by the negative pole of the magnet. In terms of north and south, which is positive and which is considered negative?
 
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There is no positive or negative with poles of a magnet. What happens is when you have a charged particle moving in a magnetic field B at a velocity v, a force acts on the particle. This force is given by F= q vxB. Here B, v and F are vectors. So the force is charge times the cross product of velocity and magnetic field.( Here is a link in case you don't know about cross products http://hyperphysics.phy-astr.gsu.edu/hbase/vvec.html) . So that gives you the direction of the field. Check out the link it'll tell you how to figure out the direction of the force. If you aren't familiar with vectors, read up on them because it's a very very important and useful thing to know.
 

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