The forces acting on a charged condenser moving through space

Abstract

If a charged condenser be placed with its plane in the direction of the æther drift, then on the assumption that a moving charge develops a magnetic field, there will be associated with the condenser a magnetic field perpendicular to the lines of electric induction, and to the direction of the motion. If N be the electrostatic energy of the condenser, the magnetic energy produced when moving with velocity w through the æther with its plates parallel to the motion is N ( w / v ) 2 , where v is the usual velocity of propagation. But when the plates of the condenser are perpendicular to the direction of motion, the effects of the opposite charges will neutralise each other, and there will be no magnetic field produced.

Axiomatic Geometric Formulation of Electromagnetism with Only One Axiom: The Field Equation for the Bivector Field F with an Explanation of the Trouton-Noble Experiment

“…In this paper we shall discuss the Trouton-Noble experiment [24], see also [25], comparing the usual explanations with our geometric approach that explicitly uses AQs, the F field. In the experiment they looked for the turning motion of a charged parallel plate capacitor suspended at rest in the frame of the earth in order to measure the earth's motion through the ether.…”

“…In the experiment they looked for the turning motion of a charged parallel plate capacitor suspended at rest in the frame of the earth in order to measure the earth's motion through the ether. The explanations, which are given until now (see, e.g., [26][27][28][29][30] and references therein) for the null result of the experiments [24] ( [25]) are not correct from the invariant SR viewpoint, since they use quantities and transformations that are not well-defined in the 4D spacetime; e.g., the Lorentz contraction, the nonelectromagnetic forces of undefined nature, the standard transformations for the 3D vectors E and B and for the torque as the 3D vector, etc.. In all previous treatments it is correctly found that there is no torque for the stationary capacitor.…”

Induction in the Dragged Dirac Sea of Particles-Antiparticles, Producing the Known E/M Waves, with Velocity C, with Respect to it

“…So, to the Coulomb force between two static charges; in the same sense, a magnetic force should be added together. According to the TROUTON-NOBLE (Trouton-Noble experiment, 2015;Trouton & Noble, 1903;Trouton & Noble, 1904) experiment of the suspended charged capacitor (Dirac sea, 2015), no magnetic force was involved to turn the capacitor, in any way. This experiment was considered in agreement with Special Relativity under the Lorentz transformations framework, but as we shall see here, it is a trivial and a direct consequence of the Ampere Force.…”