A gaussian sphere encloses an electric dipole within it. The total flux across the sphere is :

Question

A gaussian sphere encloses an electric dipole within it. The total flux across the sphere is : (A) zero (B) half that due to a single charge (C) double that due to a single charge (D) dependent on the position of the dipole

Tardigrade Admin · Accepted Answer

Total electric flux through enclosed surface

ϕ = \frac{q}{ε _{0}} + (\frac{- q}{ε _{0}}) = 0

Note : As Gaussian surface is not a enclosed surface, hence the question should have been 'an enclosed surface' and not a Gaussian surface.

Q. A gaussian sphere encloses an electric dipole within it. The total flux across the sphere is :

zero

half that due to a single charge

double that due to a single charge

dependent on the position of the dipole

Total electric flux through enclosed surface
$ϕ = \frac{q}{ε _{0}} + (\frac{- q}{ε _{0}}) = 0$
Note : As Gaussian surface is not a enclosed surface, hence the question should have been 'an enclosed surface' and not a Gaussian surface.