Consider the Gaussian surface shown in Figure 2. A uniform external electric field E, having magnitude 3.20 x 10° N/C and parallel to the xz plane with an angle of 36.87° measured from the +x axis toward the +z axis, enters through face 1 (back face). In addition, a uniform electric field E, of magnitude 6.40 x 103 N/C traveling in the same direction as flows outwardly through face 2 (front face).

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Determine:
The net charge contained within the surface. If this electric
field is produced only by the charge inside the surface.
Note: the following table contains the unit normal vectors to
each face.
Face
Unit vector
:-0,8 î – 0,6 k
î2 = 0,8 î + 0,6 k
îz = -0,6 î + 0,8 k
î4 = 0,6 î – 0,8 k
îîg = 1 j
îo = -1j
1 back
2 front
3 left
4 right
5 top
%D
6 bottom
Transcribed Image Text:Determine: The net charge contained within the surface. If this electric field is produced only by the charge inside the surface. Note: the following table contains the unit normal vectors to each face. Face Unit vector :-0,8 î – 0,6 k î2 = 0,8 î + 0,6 k îz = -0,6 î + 0,8 k î4 = 0,6 î – 0,8 k îîg = 1 j îo = -1j 1 back 2 front 3 left 4 right 5 top %D 6 bottom
Problem 2
Consider the Gaussian surface shown in Figure 2. A uniform
external electric field E, having magnitude 3.20 x 103 N/C
and parallel to the xz plane with an angle of 36.87° measured
from the +x axis toward the +z axis, enters through face 1
(back face). In addition, a uniform electric field E, of
magnitude 6.40 x 103 N/C traveling in the same direction as
E, , flows outwardly through face 2 (front face).
0,45 m
0,30 m
En
0.50 m
Figure 2. Gaussian surface in the form of a prism through
which two fields pass.
Transcribed Image Text:Problem 2 Consider the Gaussian surface shown in Figure 2. A uniform external electric field E, having magnitude 3.20 x 103 N/C and parallel to the xz plane with an angle of 36.87° measured from the +x axis toward the +z axis, enters through face 1 (back face). In addition, a uniform electric field E, of magnitude 6.40 x 103 N/C traveling in the same direction as E, , flows outwardly through face 2 (front face). 0,45 m 0,30 m En 0.50 m Figure 2. Gaussian surface in the form of a prism through which two fields pass.
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