(a) Show that the period of the circular orbit of a charged particle moving perpendicularly to a uniform magnetic field is T=2*pi*m/ (QB) . (b) What is the frequency? (c) What is the angular velocity ? Note that these results are independent of the velocity and radius of the orbit and, hence, of the energy of the particle.

(a) Show that the period of the circular orbit of a charged particle moving perpendicularly to a uniform magnetic field is T=2pim/ (QB) . (b) What is the frequency? (c) What is the angular velocity ? Note that these results are independent of the velocity and radius of the orbit and, hence, of the energy of the particle.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter14: Special Theory Of Relativity

Section: Chapter Questions

Problem 14.25P

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(a) Show that the period of the circular orbit of a
charged particle moving perpendicularly to a uniform
magnetic field is T=2*pi*m/ (QB)
. (b) What is the
frequency? (c) What is the angular velocity
? Note that these results are independent of the velocity and
radius of the orbit and, hence, of the energy of the
particle. (Figure 22.64.)

Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.

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