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The Electric flux through the surface:...

The Electric flux through the surface:

A

(A) in figure (iv) is the largest.

B

(B) in figure (iii) is the least.

C

(C) in figure (ii) is same as figure (iii) but is smaller than figure (iv).

D

(D) is the same for all the figures.

Text Solution

Verified by Experts

The correct Answer is:
D
According to Gauss. law of electrostatic, the total electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity.
`therefore phi = (sumq)/(epsilon_(0))`
`therefore phi = sumq`
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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