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

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=ε0​q​+(ε0​−q​)=0 As Gaussian surface is not a enclosed surface, hence the question should have been 'an enclosed surface' and not a Gaussian surface.

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