The strength of the magnetic field is
Explanation:
When a charged particle is moving in a uniform magnetic field, the particle experiences a force perpendicular to the direction of motion. This force is given by
where
q is the charge of the particle
v is the velocity of the particle
B is the strength of the magnetic field
Since this force acts perpendicular to the direction of motion, the particle moves in a circular motion and the force acts as a centripetal force, so we can write:
where
m is the mass of the particle
r is the radius of the circular orbit
We can re-arrange the equation in order to isolate B:
In this problem, we have electrons, with
r = 0.25 m
Substituting these numbers, we find the strength of the magnetic field:
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