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Oscillations of a Punctual Charge in the Electric Field of a Charged Ring: A Comparative Study
Department of Mathematical Sciences, University of Karachi, Karachi, Pakistan.
Department of Mathematical Sciences, University of Karachi, Karachi, Pakistan.
Department of Mathematical Sciences, University of Karachi, Karachi, Pakistan.
Department of Mathematical Sciences, University of Karachi, Karachi, Pakistan.
- 1 Department of Mathematical Sciences, University of Karachi, Karachi, Pakistan.
- 2 Department of Mathematical Sciences, University of Karachi, Karachi, Pakistan.
- 3 Department of Mathematical Sciences, University of Karachi, Karachi, Pakistan.
- 4 Department of Mathematical Sciences, University of Karachi, Karachi, Pakistan.
Journal of Electromagnetic Analysis and Applications·Volume 05 (2013)·Pages 229–235·Published 20 May 2013·DOI10.4236/jemaa.2013.55037
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Abstract
We applied multiple parameters method (MPM) to obtain natural frequency of the nonlinear oscillator with rational restoring force. A frequency analysis is carried out and the relationship between the angular frequency and the initial amplitude is obtained in analytical/numerical form. This equation is analyzed in three cases: the relativistic harmonic oscillator, a mass attached of a stretched elastic wire and oscillations of a punctual charge in the electric field of charged ring. The three and four parameters solutions are obtained. The results obtained are compared with the numerical solution, showing good agreement.
KeywordsOscillatorStretched WireParametersElectric Field
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