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Schematic drawing of the coil alignment in 1st and 2nd series of the experiments. The arrows indicate the direction of radiated power between the transmitting and receiving coils.

Schematic drawing of the coil alignment in 1st and 2nd series of the experiments. The arrows indicate the direction of radiated power between the transmitting and receiving coils.

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Our work investigates the well-known Lorentz formula (in its original form) for the EM force. It allows the prediction of one effect of the action of the EM force on a moving charge. We use this effect to explain Tesla's mechanism of wireless power transfer between resonant coils.

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Context 1
... that the inverse L-W effect is responsible for the larger-than-expected wireless power transfer, we conducted the same experiments as described above with the coils positioned in a different orientation. Specifically, the secondary coil was rotated physically by 90 degrees in the longitudinal plane so the axes of the coils were perpendicular (Fig. 1). Because the radiated E field from the primary coil propagates transversally to the axis of the coil, in the alignment the value of the denominator is great because of ¯ v||¯ r. In the 2nd alignment, the vector ¯ v is parallel to the vector ¯ r only in a very narrow area of the secondary coil. In such a setup, the longitudinal ...

Citations

... An experiment repeating one of the famous Tesla's experiments is reported in [1]. According to this work, high level of transferred power P tr at a distance to 15 meters detected in the secondary coil is caused by specific mechanism of amplification of the current in this coil, so called 'inverse Liénard-Wiechert effect' considered in [1] too. ...
... An experiment repeating one of the famous Tesla's experiments is reported in [1]. According to this work, high level of transferred power P tr at a distance to 15 meters detected in the secondary coil is caused by specific mechanism of amplification of the current in this coil, so called 'inverse Liénard-Wiechert effect' considered in [1] too. But this mechanism is not sufficient to explain an experimentally detected dependence of P tr on the distance R between the coils ( Table 2 of [1]). ...
... According to this work, high level of transferred power P tr at a distance to 15 meters detected in the secondary coil is caused by specific mechanism of amplification of the current in this coil, so called 'inverse Liénard-Wiechert effect' considered in [1] too. But this mechanism is not sufficient to explain an experimentally detected dependence of P tr on the distance R between the coils ( Table 2 of [1]). This dependence allows one to state that propagation of the power between the coils cannot be described by dependence of the longitudinal component in the near zone of the antenna E 1/R 2 , even with consideration of the finite size of the radiating coil. ...
Article
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A goal of this work is to find a possible explanation of the experimental results of [1] where the wireless power transfer between two coils is investigated. We show that this wireless power transfer is provided by the longitudinal component of the EM field. Using Jefimenko's approach of solving the Maxwell equations we show that under specific conditions the longitudinal component drops with the distance as $1/R$. This result dependence can explain the experimentally detected dependence of the transferred power in the experiment.