need help on gauss\'s laws . don\'t really understand A positive test charge is

Question

need help on gauss's laws . don't really understand

A positive test charge is placed at the center of a spherical Gaussian surface.
What happens to the net flux through the Gaussian surface for each of the following
cases?
(a) The surface is replaced by a cube of
the same volume whose center is at the same
point.
(b) The sphere is replaced by a cube of one-
third the volume centered at the same point.
(c) The charge is moved off center in the orig-
inal sphere, but remains within the sphere.
(d) The charge is moved just outside the orig-
inal sphere.
(e) The positive test charge is again placed at
the center of a spherical Gaussian surface (as
in part a). When a second positive charge is
placed near, but outside, the original sphere.
(f) A second positive charge is placed inside
the original spherical Gaussian surface.

4 possible answers

1. the net flux increases
2. the net flux is zero
3. the net flux decreases but is nonvanishing
4. no change

Explanation / Answer

Gauss Law : The net electric flux through any closed surface is proportional to the charge enclosed inside it.

a) no change
b) no change
c) no change
d) the net flux is zero
e) no change
f) the net flux increases

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