33.
(a) We use a Gaussian surface in the form of a box with rectangular sides. The cross section is shown
with dashed lines in the diagram below. It is centered at the central plane of the slab, so the left and
right faces are each a distance
x
from the central plane. We take the thickness of the rectangular
solid to be
a
, the same as its length, so the left and right faces are squares. The electric Feld is
normal to the left and right faces and is uniform over them. If
ρ
is positive, it points outward at
both faces: toward the left at the left face and toward the right at the right face. ±urthermore, the
magnitude is the same at both faces. The electric ﬂux through each of these faces is
Ea
2
. The Feld
is parallel to the other faces of the Gaussian surface and the ﬂux through them is zero. The total
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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