Trajectory of charged particle moving in a magnetic field

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SUMMARY

The discussion centers on the trajectory of a charged particle, specifically a proton, moving within a magnetic field. It is established that a proton exhibits helical motion when entering a constant magnetic field, influenced by its inertia. The particle's velocity component parallel to the magnetic field remains unchanged, while the perpendicular component results in circular motion around the magnetic field lines. The interaction between these components defines the particle's path as it enters the magnetic field.

PREREQUISITES
  • Understanding of magnetic field lines and their representation
  • Knowledge of Newton's laws of motion, particularly the first law
  • Familiarity with the concept of helical motion in physics
  • Basic principles of charged particle dynamics in electromagnetic fields
NEXT STEPS
  • Study the principles of charged particle motion in magnetic fields
  • Learn about the Lorentz force and its effects on charged particles
  • Explore helical motion and its applications in particle accelerators
  • Investigate the role of inertia in the motion of charged particles
USEFUL FOR

Physics students, educators, and professionals in fields related to electromagnetism and particle physics will benefit from this discussion.

BogMonkey
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In this video here are those pink green the magnetic field lines?

If so where does the proton come from? If I'm not mistaken a charged particle in motion will only be influenced by the magnetic field if its not moving parallel to the magnetic field lines but in this video the proton appears to be moving in the direction of the magnetic field lines its only the centripetal motion that's perpendicular to the green lines. Does that mean the proton flies into the magnetic field then gets stuck in that circular trajectory? If so what's causing it to move in the direction of the magnetic field lines?

For example in this diagram
http://img59.imageshack.us/img59/4016/mfield114.gif
Would that black arrow be the direction that the charged particle comes in or are the pink arrows the direction of the particles velocity before it entered the magnetic field?
 
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BogMonkey said:
If I'm not mistaken a charged particle in motion will only be influenced by the magnetic field if its not moving parallel to the magnetic field lines but in this video the proton appears to be moving in the direction of the magnetic field lines its only the centripetal motion that's perpendicular to the green lines.
You are partly right. There is no influence parallel to the magnetic field. No influence means no force. By Newtons first law this means the particle will keep a constant velocity in this direction. So basically the particle is moving in that the direction, because nothing stops it.

BogMonkey said:
Does that mean the proton flies into the magnetic field then gets stuck in that circular trajectory?
Yes, in a constant magnetic field, a proton will exhibit helical motion.

BogMonkey said:
If so what's causing it to move in the direction of the magnetic field lines?
Just inertia.

BogMonkey said:
Would that black arrow be the direction that the charged particle comes in or are the green arrows the direction of the particles velocity before it entered the magnetic field?
The green arrows are the path of the particle in the magnetic field. I suppose the particle came from outside the sketch where there is no magnetic field. Not sure what the black arrow is for.
 
Damn I meant to say pink lines in the diagram not green lines. What I was really asking is if the pink lines are the magnetic field lines. I see that the green circular lines are the trajectory of the particle but I'm wondering if the particles initial velocity upon entering the magnetic field is parallel or perpendicular to those pink lines. Or would it be that blue line denoted v?

Gerenuk said:
Just inertia.
Is this inertia always in the direction of the magnetic field lines?
 
The pink lines are the magnetic field. The particles initial velocity is along the green lines. So it's basically somehow diagonal. If it were parallel to the magnetic field, then it would go on a straight line. It it were perpendicular to the magnetic field then, it would go in circles at a fixed position. The blue lines are the current velocity of the particles.

Basically two things happen:
The vector component of the velocity along the magnetic field stay unaffected. The vector component perpendicular to the magnetic field turns around so that the particle circles around magnetic field lines.
 
Ah right that explains it. Thanks a lot.
 

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