Direction of force on bar magnet in solenoid

In summary, the insertion of a bar magnet with uniform magnetization into a solenoid with a field pointing up will result in a force perpendicular to the axis of the solenoid, with a magnitude given by F = BIL.
  • #1
rj540
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A bar magnet with uniform magnetization is inserted half way into a solenoid, and I am wondering what the force is on the magnet?

The magnet's magnetization is pointing up, which means it has bound surface current circling counterclockwise, and a magnetic field pointing up.

The solenoid also has a field pointing up.

If the force on the magnet is effectively I x B, meaning it has direction perpendicular to both the a vector tangent to the magnet and the direction of the field (up), then wouldn't the force direction be perpendicular to the axis of the solenoid?
 
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  • #2
The magnitude of the force is given by F = BIL, where B is the magnetic field intensity, I is the current and L is the length of the solenoid.
 

1. What is the direction of the force on a bar magnet in a solenoid?

The direction of the force on a bar magnet in a solenoid is determined by the right-hand rule. If the North pole of the magnet is facing towards the South pole of the solenoid, the force will be inwards towards the solenoid. If the North pole of the magnet is facing away from the South pole of the solenoid, the force will be outwards away from the solenoid.

2. How is the direction of the force on a bar magnet in a solenoid related to the direction of the magnetic field?

The direction of the force on a bar magnet in a solenoid is perpendicular to both the direction of the magnetic field and the direction of the current flowing through the solenoid. This is known as the Lorentz force law and is represented by the equation F = qv x B, where F is the force, q is the charge, v is the velocity, and B is the magnetic field.

3. Can the direction of the force on a bar magnet in a solenoid be reversed?

Yes, the direction of the force on a bar magnet in a solenoid can be reversed by either changing the direction of the current through the solenoid or by flipping the orientation of the bar magnet.

4. How does the strength of the magnetic field affect the direction of the force on a bar magnet in a solenoid?

The strength of the magnetic field does not affect the direction of the force on a bar magnet in a solenoid. However, it does affect the magnitude of the force. The stronger the magnetic field, the greater the force on the bar magnet will be.

5. Is the direction of the force on a bar magnet in a solenoid dependent on the length of the bar magnet?

No, the direction of the force on a bar magnet in a solenoid is not dependent on the length of the bar magnet. It is solely determined by the orientation of the bar magnet and the direction of the current flow in the solenoid.

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