# In finding the electric field using Gauss law the formula $\left | \vec{E} \right |=\frac{q_{enc}}{\epsilon _{0}\left | A \right |}$  is applicable. In the formula $\epsilon _{0}$ is permittivity of free space, A is the area of Gaussian surface and $q _{enc}$ is charge enclosed by the Gaussian surface. This equation can be used in which of the following situation?  Option: 1 For any choice of Gaussian surface. Option: 2 Only when the Gaussian is an equipotential surface. Option: 3 Only when Gaussian surface is an equipotential surface and  is constant on the surface. Option: 4 Only when  = constant on the surface.

As Gauss's law is one of the fundamental laws of physics which states that the net flux of an electric field in a closed surface is directly proportional to the enclosed electric charge.

And

The relation of gauss's law is valid when

The magnitude of the electric field is constant & the surface is equipotential

So the correct option is 3.

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