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The Repulsive Force Within Ampère’s Bridge Explained by Coulomb’s Law and Special Relativity Theory, Taking into Account the Effects of Propagation Delay

机译:库仑定律和狭义相对论解释安培桥内的排斥力,并考虑了传播延迟的影响

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It has been previously proved that the repulsive force between the two parts of Ampère’s bridge, measured in experiments performed by Pappas and Moyssides, can be explained by Coulomb’s law, if the effects of propagation delay are correctly taken into account. Special relativity theory is also necessary to estimate the extent to which it may affect the result. Otherwise it might be unnecessary to involve special relativity theory in the case of DC currents carried by electric conductors, because the velocities of conduction electrons are usually very small compared to the speed of light. However, in this paper, the force between the two parts of Ampère’s Bridge has been calculated, taking into account special relativity theory, particularly the Lorentz transformation which brings about a change in the lengths of moving bodies. The result is that the repulsive force between the two parts of Ampère’s bridge remains repulsive, displaying dependence on the thickness of the branches, decreasing with increasing thickness. This was also the case when analysis was conducted without taking into account the special relativity theory. In fact, the predictions are in complete agreement with physical measurements.
机译:先前已经证明,如果正确考虑了传播延迟的影响,则可通过库仑定律解释在帕帕斯和莫伊赛德斯进行的实验中测得的安培桥两部分之间的排斥力。狭义相对论对于估计其可能影响结果的程度也是必要的。否则,在电导体承载直流电流的情况下,可能不需要涉及狭义相对论,因为与光速相比,传导电子的速度通常很小。但是,在本文中,已经考虑到狭义相对论,特别是导致运动物体长度发生变化的洛伦兹变换,计算了安培桥两部分之间的力。结果是,安培桥两部分之间的排斥力仍然是排斥的,显示出对分支厚度的依赖性,并随厚度的增加而减小。在不考虑相对论的情况下进行分析的情况下也是如此。实际上,这些预测与物理测量完全一致。

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