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arXiv · 2105.04722

On the Electrostatic Interaction between Point Charges due to Dielectrical Shielding

Long T. Nguyen·Kim Tuan Do·Duy V. Nguyen·Trung Phan
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Abstract

How will the electrostatic interaction between two point charges change if they are shielded from the other by a dielectrical slab? While the physical setting of this electromagnetic problem is relatively simple, it is easy to be wronged and the correct solution is surprisingly complicated. Here we will show a general answer using the method of images, in which the electrical field are not found by solving the Poisson's equation but by superposing an infinite number of image charges to recurrently satisfy all interfaces' boundary conditions. We also obtain analytical and algebraic results in some special cases.

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Long T. Nguyen, Kim Tuan Do, Duy V. Nguyen, Trung Phan. 2021-05-11. On the Electrostatic Interaction between Point Charges due to Dielectrical Shielding. https://doi.org/10.2528/pierl22071401

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