The radius of curvature of the path of a charged particle in a uniform magnetic field is directly proportional to
A)the particle's charge.
B)the particle's momentum.
C)the particle's energy.
D)the flux density of the field.
E)All of these are correct.

Question

Quizplus · Accepted Answer

The radius of curvature of the path of a charged particle in a uniform magnetic field can be given as r=mv/qB, where m is the mass of the particle, v is its velocity, q is its charge, and B is the flux density of the magnetic field. From this equation, it is clear that the radius of curvature is directly proportional to the momentum of the particle (mv) and inversely proportional to its charge (q) and the flux density of the field (B). However, the energy of the particle does not directly affect the radius of curvature, so option C is incorrect. Thus, the correct choice is B.

The Radius of Curvature of the Path of a Charged