Source:  WHAT IS COULOMB'S LAW    Tag:  inverse square law definition
This law describe the electrostatic interaction between two charged bodies .. It is analogous to inverse-square law of universal gravitation . This is also known as inverse square law .

according to this law - the force between two charge particles is directly proportional to the multiplication of these two charges and inversely proportional to the square of distance separating these two charges .

A graphical representation of Coulomb's law
Coulomb's law can also be stated as a simple mathematical expression. The scalar and vector forms of the mathematical equation are
|\mathbf F|=k_e{|q_1q_2|\over r^2}\qquad and \qquad\mathbf F_1=k_e\frac{q_1q_2}{{|\mathbf r_{21}|}^2} \mathbf{\hat{r}}_{21},\qquad respectively,
where  k_e  = 8.987\,551\,787\,368\,176\,4\times 10^9\ \mathrm{N\cdot m^2\cdot C}^{-2}, is coulomb's constant q_1 and q_2 are the signed magnitudes of the charges, the scalar r is the distance between the charges, the vector \boldsymbol{r_{21}}=\boldsymbol{r_1-r_2} ,  and \boldsymbol{\hat{r}_{21}}={\boldsymbol{r_{21}}/|\boldsymbol{r_{21}}|} (a unit vector pointing from q_2 to q_1).  It can be also calculated using newton's ;s: \mathbf F_2=-\mathbf F_1.
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