# 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 are the period T and 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.

(b) Compute the path radius and the cyclotron frequency if the particle is an electron with a speed of 1.0 x 105 m/s traveling in a region where the field strength is 0.10 mT.

(a) What are the period T and 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.

(b) Compute the path radius and the cyclotron frequency if the particle is an electron with a speed of 1.0 x 105 m/s traveling in a region where the field strength is 0.10 mT.

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