Question

why direction of area vector and electric field is same in gauss law​

Answer 1

Gauss' Law says ∬SE⋅dA=Q/ϵ0 whereas the total vector area is ∬SdA=0 for some closed surface S. ... The electric field and the normal vector will be parallel at every point on the sphere, so the symmetry of the problem means ∬SE⋅dA=EA where E and A are the electric field and surface area of the sphere respectively.

Answer 2

$\huge \mathfrak \red{Answer</p><p>}$

Explanation:

Gauss' Law says ∬SE⋅dA=Q/ϵ0 whereas the total vector area is ∬SdA=0 for some closed surface S. ... The electric field and the normal vector will be parallel at every point on the sphere, so the symmetry of the problem means ∬SE⋅dA=EA where E and A are the electric field and surface area of the sphere respectively.