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A charged particle traveling in the y-direction enters a region of space that has a uniform 2 Tesla magnetic field in the z-direction as shown in the Figure. If the particle has a charge of 0.1 C and a mass of 0.2 kg how long (in seconds) does it take for the particle to reverse direction and exit the region?

 

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The radius of the circular path followed by the charged particle calculated by setting the force equal to the mass times the centripetal acceleration as follows,

QvB = mv2/R, and solving for the radius gives R = mv/QB.

The time is given by the distance traveled divided by the speed as follows: 

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