To understand why charged particles move in circles perpendicular to a magnetic field and why the frequency is invariant. A particle of charge q and mass m moves in a region of space where there is a uniform magnetic field B=B0k (ie a magnetic field of magnitude B0 in the +z direction) in this problme neglect any forces on the particle other than the magnetic force. (A) if the resulting trajectory of the charged particle is a circle, what was the angular frequency of the circular motion? Express angular frequency in terms of q,m, and B0.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.18P
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To understand why charged particles move in circles perpendicular to a magnetic field and why the frequency is invariant. A particle of charge q and mass m moves in a region of space where there is a uniform magnetic field B=B0k (ie a magnetic field of magnitude B0 in the +z direction) in this problme neglect any forces on the particle other than the magnetic force. (A) if the resulting trajectory of the charged particle is a circle, what was the angular frequency of the circular motion? Express angular frequency in terms of q,m, and B0

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