MCQ
The Electric flux through the surface:
- AIn Fig. $1.3 (iv)$ is the largest.
- BIn Fig. $1.3 (iii)$ is the least.
- CIn Fig. $1.3 (ii)$ is same as Fig. $1.3 (iii)$ but is smaller than Fig. $1.3 (iv)$
- ✓Is the same for all the figures.
✓
Answer
Correct option: D.
Is the same for all the figures.
Key concept: According to Gauss' law of electrostatics, the total electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity,
$\text{i.e.,}\phi=\frac{\text{Q}_\text{enclosed}}{\in_0}$
Thus, 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. Hence option $(d)$ is correct.
$\text{i.e.,}\phi=\frac{\text{Q}_\text{enclosed}}{\in_0}$
Thus, 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. Hence option $(d)$ is correct.
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