Question

What is the electric flux through a cube of side 1 cm which encloses an electric dipole?

Answer 1

As per the Gauss's law of electrostatics, electric flux through a closed surface is given by

`phi_E=ointvecE.vec(ds)=Q/epsilon_0 `

where
 E = Electrostatic field

Q = Total charge enclosed by the surface
∮E=∮E→.ds→=0ε0=0" role="presentation" style="position: relative;">∮E=∮E→.ds→=0ε0=0

∈₀ = Absolute electric permittivity of free space

In the given case, cube encloses an electric dipole. Therefore, the total charge enclosed by the cube is zero, i.e. Q = 0.

Therefore, from (i), we have

`phi_E=ointvecE.vec(ds)=0/epsilon_0=0`