A charged particle is moving perpendicular to a magnetic field in a circle with a radius r. The magnitude of the magnetic field is increased. Compared to the initial radius of the circular path, the radius of the new path is which of the following

1_ larger

2_ smaller

3_equal in size

2_ smaller

The magnitude of the force on the particle is given by the magnetic component of the Lorentz force:

Where is the particle's charge, v its speed, B the magnetic field and is the angle between the particle motion and the magnetic field. According to the Newton's second law, we have:

Where is the centripetal force, replacing the values of thee forces and solving for r:

The radius is inversely proportional to the magnetic field. Therefore, if the magnetic field is increased, the radius of the new path is smaller.

area of focus

the temperature in kelvin of 2.0 dm3 of an ideal gas is doubled and its pressure is increased by a factor of four. what is the final volume of the gas