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NYK
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Homework Statement
https://scontent-b.xx.fbcdn.net/hphotos-xpa1/v/t1.0-9/10846336_1517298108546407_4211362504714893270_n.jpg?oh=2f11c165933554a0e4003b398c877004&oe=5542789C
Homework Equations
∫B⋅nda = Iencμo
Ienc=∫J⋅da
The Attempt at a Solution
For r < a:
Ienc = I
∫B⋅nda = 2πr = Ienc μo
B = (Ienc μo)/(2πr)
For r > b:
Ienc = I - I
B =0
For a < r < b:
dI = J⋅nda = IJIda da = 2πrdr
dI = Jo(b/r)(2πrdr)
Ienc = ∫Jo(b/r)(2πrdr) = Jo2πb∫dr (integrating from b to a)
Ienc = Jo2πb(b-a)
∫B⋅nda = B2πr = Ienc μo
B2πr = μo( Jo2πb(b-a))
B = (μo/r)( Job(b-a))
I think I did this correctly just looking for a double check