Electric field of static point charges ⚡️

This repository contains a simple Python code to visualize the electric field produced by a set of static point charges.

Running the code

Simply click on the plot where you want to place the point charge. A random charge of (reduced) magnitude 1 or -1 will be placed there, and the corresponding electric field visualized.

Physics

I have used Coulomb's law and the principle of superposition to compute the field in every point of a 2D grid. Note that the units are reduced.

$$\vec{E^*}(\vec{r}) = \sum_{i=1}^N q^*_i \frac{\vec{r}-\vec{r_i}}{(\vec{r}-\vec{r_i})^3} \quad \quad q^*_i = \frac{q_i}{4\pi\epsilon _0}$$

Examples