TITLE:
Oscillations of a Punctual Charge in the Electric Field of a Charged Ring: A Comparative Study
AUTHORS:
Najeeb Alam Khan, Asmat Ara, Nasir Uddin Khan, Nadeem Alam Khan
KEYWORDS:
Oscillator; Stretched Wire; Parameters; Electric Field
JOURNAL NAME:
Journal of Electromagnetic Analysis and Applications,
Vol.5 No.5,
May
24,
2013
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.