A charged particle of mass m and charge q moves along a circular path of radius r that is perpendicular to a magnetic field B. The time taken by the particle to complete one revolution is
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Consider a charged particle of mass m and charge q moving along a circular path in anti-clockwise direction as shown in figure.
The magnetic field B is assumed to be into plane of paper and of constant magnitude.
Clearly, centripetal force required for the circular motion of the charge will be provided by magnetic Lorentz force 
.
Let T be the time period of the periodic motion, i.e. time taken to complete one revolution.
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