Using your knowledge of circular (centripetal) motion, derive an equation for the radius r of the circular path that electrons follow in terms of the magnetic field b, the electrons' velocity v, charge e, and mass m. you may assume that the electrons move at right angles to the magnetic field.

Explanation:

...........................................(1)

where q is the charge on the particle.

Now as we know that the force acting on the particle moving in the circular path is a centripetal force which is given as:

....................................(2)

where:

m = mass of the particle

r = radius of the particle

= angular velocity of the particle

Also, the relation between the angular and the linear velocity is as :

........................................(3)

From the eq. (2) & (3)

...................................(4)

from eq. (1) & (4)

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that tool is called an altimeter which measures your altitude which can be used to tell which atmosphere you are currently in, including the stratosphere.

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