coulomb's law
the mathematical equation calculating the electrostatic force vector between two charged particles
Examples of coulomb's law in the following topics:

Solving Problems with Vectors and Coulomb's Law

Gauss's Law

Superposition of Forces

Properties of Electric Charges

Spherical Distribution of Charge

Electric Field from a Point Charge

Stress and Strain
 A point charge creates an electric field that can be calculated using Coulomb's Law.
 The above mathematical description of the electric field of a point charge is known as Coulomb's Law.

B.2 Chapter 2
 For example, suppose we have a conducting medium so that the current density j is related to the electric field E by Ohm's law: ${\vec j} = \sigma {\vec E}$ where $\sigma$ is the conductivity (cgs unit = sec$^{1}$.
 Derive the equations describing the dynamics of the electric and vector potentials in the Coulomb gauge
 How does the expression for the scalar potential in the Coulomb gauge differ from that in the Lorenz gauge?

Introduction to Simple Harmonic Motion
 is the electric field of the ith point charge (Coulomb's law).
 The restoring force is the component of the gravitational force acting perpendicular to the wire supporting the mass.This is $mgsin(\theta)$ .Assuming the wire support is rigid, the acceleration of the mass is in the $\theta$ direction, so $ma=m\ell\ddot\theta$ and we have from Newton's second law: $\ddot{\theta} + \frac{g}{\ell} \sin(\theta) = 0$ .This is a nonlinear equation except for small $\theta$ , in which case $\theta$ .

The Junction Rule