Question

SI unit of permittivity $\left(ϵ\right)$ is….. (if Coulomb (C), Meter (m) and Force (N) are fundamental Quantities

• A. $C^2{m}^{-3}{N}^{-1}$
• B. $C^{-1}{m}^2{N}^{-2}$
• C. $C^2{m}^2{N}^2$
• D. $C^2{m}^{-2}{N}^{-1}$

Answer 1

The correct option is D $C^2{m}^{-2}{N}^{-1}$

F=$\frac{1}{4\pi ϵ}\frac{q_1{q}_2}{r^2}\Rightarrow ϵ=\frac{1}{4\pi }\frac{q_1{q}_2}{F{r}^2}=C^2{m}^{-2}{N}^{-1}$