Magnetic field from a thin current-carrying cylinder

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sombr1o
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The question is to find the magnetic field immediately outside a thin hollow cylinder that carries a uniform steady current I on its surface. This is my solution but what I get contradicts amperes law.
 

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Your own derivation aside, do you understand how Ampere's Law is used to derive the magnetic field for an infinite DC current carrying wire?
 
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Born2bwire said:
Your own derivation aside, do you understand how Ampere's Law is used to derive the magnetic field for an infinite DC current carrying wire?
Yes, but the thing is that you should get the same thing with Amperes Law and my own derivation