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Ultimate Speed of a Charged Particle Accelerated at Constant Mass by an Electric Field

Author:

Abdullahi, Musa Daji

Category:

Research Papers

Sub-Category:

Mechanics / Electrodynamics

Language:

English

Date Published:

July 24, 2022

File:

/Research Papers-Mechanics / Electrodynamics/Download/9272

Downloads:

216

Keywords:

Aberration, Acceleration, Charge, Field, Force, Mass, Radiation, Relativity, Velocity,

Abstract:

Failure to accelerate electrons beyond the speed of light, led to special relativity, according to which mass becomes infinitely large at the speed of light. Lorentz factor is the result of motion of a charged particle perpendicular to an electric field. Accelerating force reduces to zero at the speed of light, as an ultimate limit. The accelerating force on an electron moving in an electric field, is less than the stationary force, the difference is radiation reaction force. An accelerated electron moves in an electric field, with constant mass, emitting radiation, equal to the difference between change in potential energy and change in kinetic energy. Circular motion of an electron, round a central force of attraction, is shown to be stable. Radiation takes place if the electron is dislodged from a circular orbit. It moves in an elliptic path, emitting radiation, before reverting to the stable circular orbit.