Trajectory of charged particle moving in a magnetic field

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Discussion Overview

The discussion revolves around the trajectory of a charged particle, specifically a proton, moving in a magnetic field. Participants explore the effects of the magnetic field on the particle's motion, including the conditions under which the particle is influenced by the field and the nature of its trajectory.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant questions whether the proton moves parallel to the magnetic field lines and how that affects its trajectory, suggesting that it may become "stuck" in a circular path.
  • Another participant clarifies that a charged particle is only influenced by the magnetic field when not moving parallel to the field lines, asserting that it will maintain a constant velocity in that direction due to inertia.
  • There is a discussion about the nature of the particle's motion, with one participant stating that in a constant magnetic field, the proton exhibits helical motion.
  • Participants debate the initial velocity of the particle upon entering the magnetic field, with some suggesting it is diagonal and others questioning whether it is parallel or perpendicular to the magnetic field lines.
  • One participant explains that the velocity component along the magnetic field remains unaffected while the perpendicular component causes the particle to circle around the magnetic field lines.

Areas of Agreement / Disagreement

Participants express differing views on the initial conditions of the particle's motion and the implications of its trajectory in the magnetic field. There is no consensus on the exact nature of the particle's initial velocity relative to the magnetic field lines.

Contextual Notes

There are unresolved questions regarding the specific initial conditions of the particle's motion and the definitions of the directions involved in the 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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