Question
Mon September 09, 2013 By: Rahul Agarwal
 

Deduce an expression for the frequency of revolution of a charged particle in a magnetic field and show that this is independent of the velocity or energy of the particle.

Expert Reply
Romal Bhansali
Tue September 10, 2013
The force acting on a particle with charge q moving with velocity v in magnetic field B is
Due to this force, the particle moves in a circle of radius r.
Thus, we have
 
Thus, the radius of orbit is
 
Thus, the frequency of revolution ? is
 
Thus, from the above equation, we can conclude that the frequency of revolution is independent of velocity or energy of the particle.
It only depends on the charge and mass of the particle and the strength of magnetic field.
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