Question

Question #d5ddf

Answer 1

Closed loop is a contour. You can you calculate the flux through a contour ?

I guess you meant, a closed surface which encloses a volume.

In that is the case, the net flux must be zero.

Explanation:

From Gauss' law, the next flux through a closed surface is,

`phi_E = Q_i/epsilon_0` where, `Q_i` is the net enclosed charge and `epsilon_0` is the permittivity of free space (We are assuming that it's vacuum where we are dealing with the problem).

Now, the net charge of a dipole contain charges `q` and `-q` is `q + (-q) = 0`.

Thus, for n dipoles, the net charge is zero as well.

Thus, the net charge enclosed by the surface is zero.

`implies Q_i = 0`

Thus, by Gauss' law, `phi_E = 0`.