The magnetic force is at its maximum strength and acts perpendicular to both the velocity of the particle and the magnetic field direction.
Here's why:
* Maximum strength: The magnetic force on a charged particle is directly proportional to the sine of the angle between the velocity and the magnetic field. When the angle is 90 degrees (right angle), the sine function is at its maximum value (1), resulting in the maximum possible magnetic force.
* Perpendicular direction: The magnetic force always acts perpendicular to both the velocity of the charged particle and the magnetic field direction. This can be visualized using the right-hand rule:
1. Point your right thumb in the direction of the particle's velocity.
2. Point your fingers in the direction of the magnetic field.
3. Your palm will then point in the direction of the magnetic force on a positive charge. For a negative charge, the force direction is reversed.
This perpendicular force causes the charged particle to move in a circular path, with the radius of the circle determined by the strength of the magnetic field, the charge of the particle, and its velocity.
