Oscillations of a Punctual Charge in the Electric Field of a Charged Ring: A Comparative Study

Najeeb Alam Khan, Asmat Ara, Nasir Uddin Khan, Nadeem Alam Khan

Department of Mathematical Sciences, University of Karachi, Karachi, Pakistan..

DOI: 10.4236/jemaa.2013.55037                

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.

Keywords

Oscillator; Stretched Wire; Parameters; Electric Field

Conflicts of Interest

The authors declare no conflicts of interest.

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