Equation for the motion of an iron particle in a magnetic field

In summary, the particle placed in a magnetic field will experience an attraction towards the direction of the biggest field density increase. This means that the particle will follow a non-vertical route towards the bar, hitting it at an angle. The mathematical equation for this route is not straightforward and depends on the specific placement of the particle in relation to the magnetic field and the bar.
  • #1
ddddd28
73
4
Hello,
Let's assume we put a small iron particle in a magnetic field. What is the equation of the route that the particle performs? Is it the minimal route length that is possible? (the magnet is a stick-form)
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  • #2
It might look that way, but I don't think so.

As a general rule, the particle will experience an attraction in the direction of the biggest field density increase. That however means for example, if you place it right in the middle between the poles but above the bar, all it will do is go straight towards the middle of the bar. But, if you place it slightly say to the right of that point, the direction of attraction will sightly point towards to the right because the field lines also get more dense towards that direction.

So, in essence, slightly off-center the particle experiences a non-vertical force, which will make it hit the bar at an angle. That then obviously is not the direct route.
 
  • #3
I wanted to know which mathematical equation describes the route
 

1. How does a magnetic field affect the motion of an iron particle?

When a magnetic field is applied to an iron particle, it experiences a force due to its magnetic properties. This force causes the particle to move in a circular or helical path, depending on the strength and direction of the magnetic field.

2. What is the equation for the motion of an iron particle in a magnetic field?

The equation for the motion of an iron particle in a magnetic field is F = qv x B, where F is the force exerted on the particle, q is the charge of the particle, v is its velocity, and B is the strength of the magnetic field.

3. How does the strength of the magnetic field impact the motion of an iron particle?

The strength of the magnetic field directly affects the force exerted on the iron particle. A stronger magnetic field will result in a stronger force and therefore a greater acceleration of the particle.

4. Can the direction of the magnetic field change the direction of the particle's motion?

Yes, the direction of the magnetic field can change the direction of the particle's motion. If the magnetic field is perpendicular to the particle's initial velocity, it will cause the particle to move in a circular path. If the magnetic field is parallel to the particle's initial velocity, it will cause the particle to move in a helical path.

5. How does the charge of the particle affect its motion in a magnetic field?

The charge of the particle plays a significant role in its motion in a magnetic field. A particle with a higher charge will experience a greater force and therefore will have a larger acceleration. Additionally, particles with opposite charges will move in opposite directions in the same magnetic field.

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