Question

How does the radious of the circular path of a charged particle movimg in a uniform magnetic field depend on its momentum and charge ?​

Answer 1

Answer:

$radius \: = \: \frac{mass \times \: velocity}{charge \times \: magnetic \: field}$

$radius = \frac{mv}{qb} = \: \frac{momentum}{q \times b}$

Answer 2

Circular motion in a magnetic field

Charged particles in a magnetic field feel a force perpendicular to their velocity. Since their movement is always perpendicular to the force, magnetic forces due no work and the particle's velocity stays constant. Since the force is F = qvB in a constant magnetic field, a charged particle feels a force of constant magnitude always directed perpendicular to its motion. The result is a circular orbit.｡◕‿◕｡