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Calculate the expected ratio of the magnetic field between the ends of the solenoid (? = ?/2 ?? − ?/2) and its center (? = 0) for a finite length solenoid for ?~? and ? ≫ ? cases by

Calculate the expected ratio of the magnetic field between the ends of the solenoid (? = ?/2 ?? − ?/2) and its center (? = 0) for a finite length solenoid for ?~? and ? ≫ ? cases by

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Calculate the expected ratio of the magnetic field between the ends of the solenoid
(? = ?/2 ?? − ?/2) and its center (? = 0) for a finite length solenoid for ?~? and ? ≫ ? cases by
using Equation 5.4.

+L/2 +L/2 HonIR? Bx HonIR? 2 dx' (x – x') 2 [(x – x')2 + R2]3/2 R2[(x – x')2 + R2] -L/2 I-L/2 Honl x + L/2 x - L/2 5.4 %3D - 2 L/x+ L/2)² + R² (x-L/2)2 + R2
Transcribed Image Text:+L/2 +L/2 HonIR? Bx HonIR? 2 dx' (x – x') 2 [(x – x')2 + R2]3/2 R2[(x – x')2 + R2] -L/2 I-L/2 Honl x + L/2 x - L/2 5.4 %3D - 2 L/x+ L/2)² + R² (x-L/2)2 + R2
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