- #1
The equation for the motion of a charged particle in a uniform magnetic field is given by F = qvB, where F is the magnetic force, q is the charge of the particle, v is its velocity, and B is the magnetic field.
The direction of the magnetic force on a charged particle is always perpendicular to both the velocity of the particle and the direction of the magnetic field. This means that the particle will undergo circular motion if its initial velocity is perpendicular to the magnetic field, or helical motion if its initial velocity has a component parallel to the magnetic field.
If the field strength is increased, the radius of the circular motion of the particle will decrease, and the particle will travel at a higher speed. If the field strength is decreased, the radius of the circular motion will increase, and the particle will travel at a lower speed.
The mass of the charged particle does not affect its motion in a uniform magnetic field. The only factors that affect its motion are the charge of the particle, its velocity, and the strength and direction of the magnetic field.
The radius of the circular motion of a charged particle is directly proportional to the strength of the magnetic field. This means that if the magnetic field is doubled, the radius of the circular motion will also double.