Question

A charge $‘q^{\prime }$ is placed exactly mid way between two charges $‘Q^{\prime }$ and $‘Q^{\prime }$ separated by a distance $2r$ in air. The force on the charge $‘q^{\prime }$ is :

• A. $\frac{2Q}{4\pi {ϵ}_0{r}^2}$
• B. $\frac{Q}{4\pi {ϵ}_0{r}^2}$
• C. $Zero$
• D. $\frac{5Q}{4\pi {ϵ}_0{r}^2}$

Answer 1

The correct option is C $Zero$

The charge $q$ is equidistant from charges $Q$ and $Q$. Therefore, each of the charges $Q$ exert forces on $q$ which are equal in magnitude and opposite in direction. Thus, net force on $q$ is zero.