Question

Unit of electric flux is

• A. $\frac{\text{N}}{{\text{m}}^2-\text{C}}$
• B. ${\text{N-m}}^2\text{/C}$
• C. $\frac{\text{N}}{{\text{C}}^2-{\text{m}}^2}$
• D. $\text{N-m}\text{/C}$

Answer 1

The correct option is B ${\text{N-m}}^2\text{/C}$

We know that, electric flux through any surface is given by

$\varphi =\overrightarrow{E}.\overrightarrow{A}=EA\cos \theta$

Unit of electric field, $E$ is $\text{N/C}$ and unit of area, $A$ is ${\text{m}}^2$

$\cos \theta$ is a ratio, so, it is unitless.

Hence, unit of electric flux is $\frac{\text{N}}{\text{C}}.{\text{m}}^2={\text{N-m}}^2\text{/C}$

So, option $\left(a\right)$ is correct.