Considerations on “Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring” |
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Authors: | A Beléndez E Fernández R Fuentes I Pascual |
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Institution: | a Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal, Universidad de Alicante, Apartado 99, E-03080 Alicante, Spain b Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologías, Universidad de Alicante, Apartado 99, E-03080 Alicante, Spain c Departamento de Óptica, Farmacología y Anatomía, Universidad de Alicante, Apartado 99, E-03080 Alicante, Spain |
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Abstract: | In a previous short communication A. Beléndez, E. Fernández, J.J. Rodes, R. Fuentes, I. Pascual, Phys. Lett. A 373 (2009) 735] the nonlinear oscillations of a punctual charge in the electric field of a charged ring were analyzed. Approximate frequency-amplitude relations and periodic solutions were obtained using the harmonic balance method. Now we clarify an important aspect about of this oscillation charge. Taking into account Earnshaw's theorem, this punctual charge cannot be a free charge and so it must be confined, for example, on a finite conducting wire placed along the axis of the ring. Then, the oscillatory system may consist of a punctual charge on a conducting wire placed along the axis of the uniformly charged ring. |
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Keywords: | Nonlinear oscillator Equilibrium point Earnshaw's theorem |
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