Question

The Electric flux through the surface

• A. in Fig.$\left(iii\right)$ is the least
• B. in Fig. $\left(iv\right)$ is the largest
• C. is the same for all the figures.
• D. in Fig. $\left(ii\right)$ is same as Fig. $\left(iii\right)$ but is smaller than Fig.$\left(iv\right)$

Answer 1

The correct option is C is the same for all the figures.

Definition: Electric flux is the number of field lines passing through a given cross sectional area.

According to Gauss law,

$\varphi =\overrightarrow{E}.\overrightarrow{A}=\oint \overrightarrow{E}.\overrightarrow{ds}=\frac{q}{{ϵ}_0}$

As we know, electric flux through a surface doesn’t depend on the shape, size or area of a surface, but it depends on the amount of charge enclosed by the surface. In given figures, the charge enclosed are same, that means the electric flux through all the surfaces should be the same

Final Answer: (d)