The motion of a charged particle in a magnetic field produced by a column current |
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| Authors: | XIANG Yu-min |
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| Institution: | Sichuan University of Science and Engineering, Zigong 643000, P. R. China |
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| Abstract: | To determine the motion of a charged particle in a magnetic field produced by a current flowing along a long column conductor, the equation of the motion was established on the basis of Lorentz force. Qualitative analysis and quantitative solutions demonstrated that the motion contains nonlinear oscillation. The oscillation can be treated as the perturbation of the helical motion, which the particle undergoes in a special condition. The general motion is superposition of two helixes, one as an axis spiraled by another. It is proven that the oscillation is stable. |
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| Keywords: | charged particle Lorentz force nonlinear oscillation perturbation helical motion |
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