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Magnitude of Two Charged Particles

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Please see the attached file. Please solve with explanations included.

Two charged particles are traveling in circular orbits with the same speed in a region of uniform magnetic field that is directed into the page, as shown. The magnitude of the charge on each particle is identical, but the signs of the charges are unequal. Which one of the entries in the table below is correct?

See the attached file for the diagram and table.

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Solution Summary

This following posting helps with a classical mechanics problem. The solution explains the radius of each particle and the Lorenz force that acts on each particle as well as select the correct answer. Full explanations are given as well as any formulas used for the problem.

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First of all, when a charged particle enters a magnetic field, a Lorentz force acts on the particle which can be stated by the equation,
F = (qv)X(B)

where, q is the charge on the particle and v is the velocity where B is the magnetic induction field strength. Following the rules of the vector ...

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