q1=−19.1nC q2=+29.2nC q3=+3.73nC q4=−3.14nC q5=+5.01nC   a. What is the total electric flux, in newton squared meters per coulomb, through the closed surface shown in drawing (a) of the figure?  b.  What is the total electric flux, in newton squared meters per coulomb, through the closed surface shown in drawing (b) of the figure?  c. What is the total electric flux, in newton squared meters per coulomb, through the closed surface shown in drawing (c) of the figure?  d. Drawing (d) of the figure shows a portion of an infinite conducting plane viewed edge-on. The Gaussian surface is a "Gaussian pillbox" whose sides are perpendicular to the infinite plane, but the end cap, with an area of 4.0×10−4m2, is parallel to the plane. The conductor has a charge per unit area of σ=2.0μC/m2. What is the total electric flux, in newton squared meters per coulomb, through the Gaussian surface?

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Author:Paul Peter Urone, Roger Hinrichs
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Chapter24: Electromagnetic Waves
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Four different configurations show charge distributions and closed Gaussian surfaces. Assume that the surface normals are directed outward for each closed surface. If a charge appears to be located within a Gaussian surface, then it is, as opposed to being in the foreground or the background. The charges have the following values:
q1=−19.1nC
q2=+29.2nC
q3=+3.73nC
q4=−3.14nC
q5=+5.01nC

 

a. What is the total electric flux, in newton squared meters per coulomb, through the closed surface shown in drawing (a) of the figure? 

b.  What is the total electric flux, in newton squared meters per coulomb, through the closed surface shown in drawing (b) of the figure? 

c. What is the total electric flux, in newton squared meters per coulomb, through the closed surface shown in drawing (c) of the figure? 

d. Drawing (d) of the figure shows a portion of an infinite conducting plane viewed edge-on. The Gaussian surface is a "Gaussian pillbox" whose sides are perpendicular to the infinite plane, but the end cap, with an area of 4.0×10−4m2, is parallel to the plane. The conductor has a charge per unit area of σ=2.0μC/m2. What is the total electric flux, in newton squared meters per coulomb, through the Gaussian surface? 

92 +
a
(a)
a
91
(c)
91
93
+++++++
8
Conductor
8
+ + + + + + +
(b)
94
(d)
95
End cap of area
4.0 x 10-4 m²
a=2.0 x 106 C/m²
Transcribed Image Text:92 + a (a) a 91 (c) 91 93 +++++++ 8 Conductor 8 + + + + + + + (b) 94 (d) 95 End cap of area 4.0 x 10-4 m² a=2.0 x 106 C/m²
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