Question #d5ddf

1 Answer
Sep 12, 2016

Answer:

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#.