Acharged particle moves in a circular path in a uniform magnetic field. which of the following would increase the period of the particle's motion? check all that apply. increasing its chargeincreasing its massincreasing the field strengthincreasing its speed

Increasing its charge

Increasing the field strength

Explanation:

For a charged particle moving in a circular path in a uniform magnetic field, the centripetal force is provided by the magnetic force, so we can write:

where

q is the charge

v is the velocity

B is the magnetic field

m is the mass

r is the radius of the orbit

The period of the motion is

Re-arranging for r

And substituting into the previous equation

Solving for T,

So we see that the period is:

- proportional to the charge and the magnetic field

- inversely proportional to the mass and the square of the speed

So the following will increase the period of the particle's motion:

Increasing its charge

Increasing the field strength

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