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:
- Gauss’s law is true for any closed surface, no matter what its shape or size.
- 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.