A particle with charge q and mass m moves in a horizontal plane at right angles

Question

A particle with charge q and mass m moves in a horizontal plane at right angles to a uniform vertical magnetic field B.

A) What is the frequency f of the particle's circular motion in terms of q, B, and m? (This frequency is called the cyclotron frequency.) You result should verify that the time for one orbit for any charged particle in a uniform magnetic field is independent of its speed and radius.
(Express your answer in terms of the variables q, B, and m.)


B) Compute the path radius if the particle is an electron with a speed of 5.0

Explanation / Answer

force on particle = qvB = mv2/r

v/r = qB/m

a) frequency = 1/T = v/2r = qB/2m

b) from above r = vm/qB =5*10^5 *.....

c) substituting in the formula gives answers

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