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Dependence of Accelerating Force on Velocity of a Charged Particle Moving in an Electric Field

Author:

Abdullahi, Musa Daji

Category:

Research Papers

Sub-Category:

Relativity Theory

Language:

English

Date Published:

May 10, 2017

File:

/Research Papers-Relativity Theory/Download/6925

Downloads:

566

Keywords:

Aberration, acceleration, circular motion, electric field, magnetic flux, mass, velocity.

Abstract:

According to classical and relativistic electrodynamics, accelerating force F on a particle of charge q moving with velocity v at angle θ to an electric field of intensity E, is a vector F = qE, independent of velocity in the field. It is proposed here that the force is F = qE(c – v)/c, where (c - v) is the relative velocity between the particle and the force of the field transmitted with velocity of light c, at aberration angle α such that sinα = (v/c)sinθ. It is shown that for motion in the direction of the field, with θ = 0, the force is F = qE(1 – v/c). For motion against the field with θ = π radians, F = qE(1 + v/c). For motion perpendicular to the field, with θ = π/2 radians, F = qE√(1 – v^2/c^2). It is deduced that the relativistic mass-velocity formula is correct where a charged particle moves perpendicular to an electric field and that circular revolution of an electron, around a central force, is stable. An experiment is proposed, with charged particles moving perpendicular to crossed electric and magnetic fields, to show that mass is constant but accelerating electric field depends on velocity.