*.4 Go Two wires, parallel to a z axis and a distance 4r apart, carry equal currents i in oppo- Wire 17 Wire 2 7 site directions, as shown in -x Fig. 32-28. A circular cylinder of radius r and length L has its axis on the z axis, midway be- tween the wires. Use Gauss' law -2r 2r Figure 32-28 Problem 4. for magnetism to derive an ex- pression for the net outward magnetic flux through the half of the cylindrical surface above the x axis. (Hint: Find the flux through the portion of the xz plane that lies within the cylinder.)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter31: Gauss’s Law For Magnetism And Ampère’s Law
Section: Chapter Questions
Problem 59PQ: A uniform magnetic field B=5.44104iT passes through a closed surface with a slanted top as shown in...
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*.4 Go Two wires, parallel to a
z axis and a distance 4r apart,
carry equal currents i in oppo- Wire 17
Wire 2
7
site directions, as shown in
-x
Fig. 32-28. A circular cylinder of
radius r and length L has its
axis on the z axis, midway be-
tween the wires. Use Gauss' law
-2r
2r
Figure 32-28 Problem 4.
for magnetism to derive an ex-
pression for the net outward
magnetic flux through the half of the cylindrical surface above the
x axis. (Hint: Find the flux through the portion of the xz plane that
lies within the cylinder.)
Transcribed Image Text:*.4 Go Two wires, parallel to a z axis and a distance 4r apart, carry equal currents i in oppo- Wire 17 Wire 2 7 site directions, as shown in -x Fig. 32-28. A circular cylinder of radius r and length L has its axis on the z axis, midway be- tween the wires. Use Gauss' law -2r 2r Figure 32-28 Problem 4. for magnetism to derive an ex- pression for the net outward magnetic flux through the half of the cylindrical surface above the x axis. (Hint: Find the flux through the portion of the xz plane that lies within the cylinder.)
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