Coulomb’s law, giving the force of repulsion or attraction between two electric charges in space, is a very important principle in physics. However, the law is not complete as it does not consider force of gravitational attraction between electric charges and does not include radiation from an accelerated charged particle. This paper extends Coulomb’s law by adding a term for gravitation and incorporating a factor for radiation. In the extended law, accelerating force on a particle of mass m and charge K moving at time t with speed v in an electric field E, is EK(1 - v/c) = m(dv/dt) if it moves along the force, EK(1 + v/c) = -m(dv/dt) if it moves against the force and EK{sqrt(1 – v^2//c^2)} = mv^2/r for motion perpendicular to the force, in a circle of radius r, where c is the speed of light, a constant relative to the source. The particle is accelerated to a maximum speed equal to c with constant mass and emission of radiation. Lorentz factor is found to be the result of motion of a charged particle perpendicular to an electric field and nothing to do with mass. Rutherford’s nuclear model of the hydrogen atom is shown to be stable outside quantum mechanics. Aether, conceived as constituted by balanced electric fields from bodies in space, is identified to be the medium for gravitation and radiation.
