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Electric Field Intensity of a Moving Charged Particle

Author:

Abdullahi, Musa Daji

Category:

Research Papers

Sub-Category:

Mechanics / Electrodynamics

Language:

English

Date Published:

April 3, 2025

File:

/Research Papers-Mechanics / Electrodynamics/Download/10138

Downloads:

Keywords:

Aberration of electric field. Acceleration. Charge. Electromagnetic induction. Energy, Inertia. Magnetic Field. Mass. Velocity.

Abstract:

A stationary particle of charge Q is supposed to be an impregnable spherical shell of radius a and intrinsic energy En. The radial electrostatic field Eo pull the surface charge equally outwards to maintain a structure in equilibrium. Lines of Eo curl in positive potential energy for repulsion, or negative potential energy for attraction. The lines curl backwards in reaction to force of acceleration. Electric field intensity due to charge Q of constant mass m as the rest mass mo, moving with velocity v, relative to observer, is put as vector Ev = (Eo/c)(c + v), where c is velocity of light, of magnitude c, in a vacuum. If Q suffers acceleration, at time t, an inductive electric field Ea is created, in accordance with Faraday’s law. Field Ea acts on the same charge Q to produce inertial force QEa = -mo(dv/dt), within a body composed of electric charges. The dynamic field Ev, larger than Eo, contains the kinetic energy ½ mov^2, without any increase of mass. A mass-energy equivalence law is deduced as En = ½moc^2, compared to relativistic equation En = m^c2, where m increases with speed v. At light speed c, electric field intensity is increased to 2Eo in the direction of velocity and reduced to zero backwards.