2016/03/01 by S. K. Moayedi, Seyed Kamran Moayedi, Mansoureh Shafabakhsh +1 · 1 citation
Engineering · Physics and Astronomy · #Born–Infeld model #Capacitance #Capacitor #Classical mechanics #Electric field #Electric potential energy #Electrostatics #Energy (signal processing) #Gauss's law #Geophysics and Sensor Technology #Lagrangian #Mathematical physics #Mechanical and Optical Resonators #Nonlinear system #Physics #Quantum and Classical Electrodynamics #Quantum electrodynamics #Quantum mechanics #Voltage #hep-th
paper · pdf · doi:10.1140/epjp/i2016-16055-1
published in The European Physical Journal Plus 131(3) (Springer Science+Business Media) · 12 pages, 2 figures
openalex publication_date 2016/03/01 · openalex created_date 2016/06/24 · arxiv created 2017/04/15 · arxiv updated 2017/04/18 · openalex updated_date 2026/08/05
In 1934, Max Born and Leopold Infeld suggested and developed a nonlinear modification of Maxwell electrodynamics, in which the electrostatic self-energy of an electron was a finite value. In this paper, after a brief introduction to Lagrangian formulation of Born-Infeld electrodynamics with an external source, the explicit forms of Gauss's law and the electrostatic energy density in Born-Infeld theory are obtained. The capacitance and the stored electrostatic energy for a parallel-plate and spherical capacitors are computed in the framework of Born-Infeld electrostatics. We show that the usual relations U=(1)/(2)C__\textrmMaxwell(\triangle ϕ)2 and U=\fracq22C__\textrmMaxwell are not valid for a capacitor in Born-Infeld electrostatics. Numerical estimations in this research show that the nonlinear corrections to the capacitance and the stored electrostatic energy for a capacitor in Born-Infeld electrostatics are considerable when the potential difference between the plates of a capacitor is very large.