Explanation

From Coulomb’s law, the force of attraction/repulsion between two point charges $q\ and\ q$ separated by distance $r$ is $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ F = \frac{1}{4\pi\varepsilon_{0}}\frac{q^{2}}{r^{2}}$ $\Rightarrow \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \varepsilon_{0} = \frac{1}{4\pi}\ .\frac{q^{2}}{Fr^{2}}$ Where $\varepsilon_{0}$ is electric permittivity. Dimensions of $\varepsilon_{0} = \frac{\lbrack AT\rbrack^{2}}{\left\lbrack MLT^{- 2} \right\rbrack\left\lbrack L^{2} \right\rbrack\ }$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \left\lbrack \varepsilon_{0} \right\rbrack = \left\lbrack A^{2}M^{- 1}L^{- 3}T^{- 4} \right\rbrack$