Question

SI unit of permittivity is:

Answer 1

SI unit of permittivity

1. Permittivity is a property of a material that can tell about the resistance of a material against the formation of an electric field a nd is given by the formula $D=\in E$, where $D$ is the electric displacement field, $\in$ is the absolute permittivity, $E$ is the Electric field intensity.
2. It is defined as the amount of charge required for the generation of one unit of electric flux in a specific medium.
3. Generally, a charge will yield more electric flux in a low permittivity medium than in a high permittivity medium.
4. The capacitance of a capacitor can be expressed in terms of permittivity as $C=\in \frac{A}{d}\Rightarrow \in =C\frac{d}{A}$ where, $C$ is the Capacitance, $\in$ is the permittivity, $A$ is the area of one plate and $d$ is the distance between the plates.
5. In SI system, the unit of Capacitance is Farad which is denoted as $F$, unit for Area is square meter denoted as $m^2$ and the unit for distance is meter denoted as $m$$\Rightarrow$ SI unit of permittivity is $\frac{Fm}{m^2}=\frac{F}{m}$ i.e. Farad per meter.
6. The SI unit of permittivity is Farad per meter and is denoted as $\raisebox{1ex}{$F$}\!\left/ \!\raisebox{-1ex}{$m$}\right.$
7. Permittivity of the vacuum or free space is the lowest possible permittivity. It is treated as a physical constant and it is known as an electric constant. It has a value of $8.85\times {10}^{-12}\raisebox{1ex}{$F$}\!\left/ \!\raisebox{-1ex}{$m$}\right.$.

Hence the SI unit of permittivity is Farad per meter.