Two-point charges and are separated by a distance of 1 m in the air. Calculate at which point on...

Question:

Two-point charges and are separated by a distance of 1 m in the air. Calculate at which point on the line joining the two charges is the electric potential is zero.

Coulomb's Law

From Coulomb's law which is known as an inverse-square law is the measure of force between two stationary electric charges. This is given by the form

$$\begin{align*} F=k\frac{q_1q_2}{r^2} \end{align*} $$ where {eq}\begin{align*} k,q_1,q_2,r \end{align*} {/eq} is Coulomb's constant, the two point charges, and the separation distance respectively. The electric field in this manner follows to be

$$\begin{align*} E=k\frac{q}{r^2} \end{align*} $$