Answer:
The charged particle will follow a circular path.
Explanation:
The magnetic force exerted on the charged particle due to the magnetic field is given by:
where
q is the charge
v is the velocity of the particle
B is the magnetic field
is the angle between v and B
In this problem, the velocity is perpendicular to the magnetic field, so and the force is simply
Moreover, the force is perpendicular to both B and v, according to the right-hand rule. Therefore, we have:
- a force that is always perpendicular to the velocity, v
- a force which is constant in magnitude (because the magnitude of v or B does not change)
--> this means that the force acts as a centripetal force, so it will keep the charged particle in a uniform circular motion. So, the correct answer is
The charged particle will follow a circular path.