B Region III: r Inside (rb) Region II: Middle (a

College Physics
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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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Shown in the figure below is a toroid. You can think of a toroid as a long solenoid that has been bent into the shape of a circle. Your toroid has N loops, an inner radius of a, an outer radius of b, and is carrying a current of I.

Use Ampere's Law to determine the magnetic field in each of these three regions as a function of r:

  • Region I (r›b): 
     
     
     
  • Region II (a‹r‹b):
    • What is the length of the path that you walk in this region? 
       
       
       
    • What is the current enclosed by your path? 
       
       
       
    • What is the field in this region? 
       
       
       
  • Region III (r‹a): 
     
     
     


In Region II, which way is the magnetic field oriented

RightOut of the page    DownCounter-clockwiseInto the pageClockwiseUpLeft

NOTE:Express your result using ?0, N, r, a, b, and I as/if needed.

B
Region III: r
Inside (r<a)
b
a
B
Region I: Outside (r>b)
Region II: Middle (a<r<b)
Transcribed Image Text:B Region III: r Inside (r<a) b a B Region I: Outside (r>b) Region II: Middle (a<r<b)
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