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If the total charge enclosed in a closed surface is q, then the total electric flux associated with it will be:
1. q/ϵo
2. qϵo
3. Zero
4. None of these

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Correct Answer - Option 1 : q/ϵo

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,

\(\Rightarrow ϕ=\frac{q}{ϵ_o}\)

  • Hence, option 1 is correct.

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