# The total flux associated with any closed surface depends on the:

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The total flux associated with any closed surface depends on the:
1. Net charge enclosed in the surface
2. Surface area of the surface
3. Both 1 and 2 are correct
4. None of these

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Correct Answer - Option 1 : Net charge enclosed in the surface

CONCEPT:

Gauss's law:

• According to Gauss law, the total electric flux linked with a closed surface called Gaussian surface is $\frac{1}{ϵ_o}$ the charge enclosed by the closed surface.

$\Rightarrow ϕ=\frac{Q}{ϵ_o}$

Where ϕ = electric flux linked with a closed surface, Q = total charge enclosed in the surface, and ϵo = permittivity

Important points:

1. Gauss’s law is true for any closed surface, no matter what its shape or size.
2. The charges may be located anywhere inside the surface.

EXPLANATION:

Gauss's law:

• According to Gauss law, the total electric flux linked with a closed surface called Gaussian surface is $\frac{1}{ϵ_o}$ the charge enclosed by the closed surface.
• So if the total charge enclosed in a closed surface is Q, then the total electric flux associated with it will be given as,

$\Rightarrow ϕ=\frac{Q}{ϵ_o}$     -----(1)

• By equation 1 it is clear that the total flux linked with the closed surface in which a certain amount of charge is placed depends on the total charge enclosed in the surface.
• But the total flux linked with the closed surface does not depend on the shape and size of the surface. Hence, option 1 is correct.