Question

The S.I unit of permittivity of free space $\left({ϵ}_0\right)$ is:

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

Answer 1

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

permittivity of free space ${ϵ}_o$

$F=\frac{1}{4\pi {ϵ}_o}\frac{q_1{q}_2}{r^2}$ ; unit of q is C , unit of F is Newton and unit of r is m

So the unit of ${ϵ}_o$ is $C^2{N}^{-1}{m}^{-2}$