Magnetic field from a thin current-carrying cylinder

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SUMMARY

The discussion focuses on calculating the magnetic field outside a thin hollow cylinder carrying a uniform steady current I. Participants express confusion regarding the application of Ampere's Law in deriving the magnetic field, particularly in relation to infinite DC current-carrying wires. The consensus is that the results obtained from personal derivations should align with those predicted by Ampere's Law, highlighting a potential misunderstanding or miscalculation in the derivation process.

PREREQUISITES
  • Understanding of Ampere's Law
  • Knowledge of magnetic fields generated by current-carrying conductors
  • Familiarity with the concept of steady current
  • Basic principles of electromagnetism
NEXT STEPS
  • Review the derivation of magnetic fields using Ampere's Law
  • Study the magnetic field equations for infinite DC current-carrying wires
  • Explore the differences between hollow and solid cylindrical conductors
  • Investigate the implications of current distribution on magnetic field calculations
USEFUL FOR

Physics students, electrical engineers, and anyone interested in electromagnetism and the behavior of magnetic fields around current-carrying conductors.

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
 

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