Equation 5.4 expresses the change of magnetic field depending on the distance from the center. Question Calculate the expected ratio of the magnetic field between the ends of the solenoid (x = L/2 or – L/2) and its center (x = 0) for a finite length solenoid for L~R and L » R cases by using Equation 5.4.

College Physics
10th Edition
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Author:Raymond A. Serway, Chris Vuille
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Chapter9: Solids And Fluids
Section: Chapter Questions
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+L/2
+L/2
(х — х')
R?[(x — х')2 + R2]
dx'
HonIR?
Bx
2
[(х — х')2 + R?]З/2
-i/2
|-L/2
Equation 5.4
HonI
x + L/2
х — L/2
5.4
L/(x + L/2)² + R²
(x – L/2)² + R²
Equation 5.4 expresses the change of magnetic field depending on the distance from the center.
Question
Calculate the expected ratio of the magnetic field between the ends of the solenoid
(x = L/2 or – L/2) and its center (x = 0) for a finite length solenoid for L~R and L » R cases by
using Equation 5.4.
Transcribed Image Text:+L/2 +L/2 (х — х') R?[(x — х')2 + R2] dx' HonIR? Bx 2 [(х — х')2 + R?]З/2 -i/2 |-L/2 Equation 5.4 HonI x + L/2 х — L/2 5.4 L/(x + L/2)² + R² (x – L/2)² + R² Equation 5.4 expresses the change of magnetic field depending on the distance from the center. Question Calculate the expected ratio of the magnetic field between the ends of the solenoid (x = L/2 or – L/2) and its center (x = 0) for a finite length solenoid for L~R and L » R cases by using Equation 5.4.
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