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Kinetic Energy of a Moving Charged Particle and a Mass-energy Equivalence Law as E = 1/2 mc^2

Author:

Abdullahi, Musa Daji

Category:

Research Papers

Sub-Category:

Mechanics / Electrodynamics

Language:

English

Date Published:

September 25, 2017

Downloads:

34

Keywords:

Electric charge, electric field, energy, magnetic field, mass, potential, radius, relativity, speed.

Abstract:

The equation H = (εvEo)sinθ gives the magnitude of magnetic field due a charged particle and its electrostatic field Eo moving at speed v in space of permittivity ε, where θ is the angle between the direction of speed v and direction of field Eo. Due to motion of the particle, a dynamic electric field of magnitude (v/c)(Eo)cosθ, is created to make the total field = Eo{1 + (v/c)cosθ}. The kinetic energy of a particle, moving with constant mass m, is K = ½ mv^2. Equating K with the sum of energies of magnetic field H and dynamic electric field, gives a mass-energy equivalence law as E = ½ mc^2, where E is the energy of electrostatic field Eo, in contrast to relativistic equation E = mc^2. A charged particle is assumed to be a spherical shell of radius a and surface charge σ.

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