Abstract
In electromagnetics, Coulomb’s law is a very classic formula. Almost all textbooks give this formula, but none of them give a detailed corresponding theoretical derivation. In order for beginners of physics to better understand the physical meaning of this formula, we explored the source, the physical model and mechanism of this formula. Based on the principle that the interaction between two different fields can generate energy density, which is equal to the pressure, we analyzed the distribution of the electric field energy density as well as the corresponding pressure on the charged surface. Through the rigorous mathematical derivation, we give the theoretical derivation of this formula.
Highlights
Coulomb’s law is a mathematical description of the electric force between charged objects
In order for beginners of physics to better understand the physical meaning of this formula, we explored the source, the physical model and mechanism of this formula
Based on the principle that the interaction between two different fields can generate energy density, which is equal to the pressure, we analyzed the distribution of the electric field energy density as well as the corresponding pressure on the charged surface
Summary
Coulomb’s law is a mathematical description of the electric force between charged objects. The formula for the force acting between two electrically charged bodies was first developed by Charles-Augustinde in 1785. M. Feng lomb’s law, and hardly given the theoretical derivation of the formula [1] [2]. Some papers were reported to discuss the formula of the Coulomb force [3] [4] [5], but they did not give out the physical model of the formula, and did not give a detailed mathematical derivation of this formula. None of the papers reported the derivation process of this formula. Using the relationship between energy density and pressure, we derived this formula, which is very meaningful for a deep understanding of the physical nature of electrostatic gravity
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