Advertisement Remove all ads

Why is this Property Necessary for the Operation of a Cyclotron? - Physics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Show that the time period of revolution of particles in a cyclotron is independent of their speeds. Why is this property necessary for the operation of a cyclotron?

Advertisement Remove all ads


Let a particle of charge q and mass m enter a region of magnetic field B with a velocity v normal to the field. The particle follows a circular path inside the cyclotron, and the necessary centripetal force is provided by the magnetic field.

Therefore, we have



Now, the time period of revolution will be


Therefore, from the above expression, we see that the time period is independent of the speed of the particle.

The time period should be independent of speed so that the frequency of revolution of the particle remains equal to the frequency of the ac source applied to the cyclotron.

Concept: Motion in Combined Electric and Magnetic Fields - Cyclotron
  Is there an error in this question or solution?
Advertisement Remove all ads

View all notifications

      Forgot password?
View in app×