What is the magnetic field around a long, current-carrying wire?

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SUMMARY

The magnetic field around a long, current-carrying wire can be determined using the Law of Biot & Savart, specifically the formula B = (μ₀I)/(2πr) for points outside the wire. For points inside the wire, the magnetic field can be calculated using Ampère's Law, which requires the use of a Gaussian surface. The discussion emphasizes the importance of understanding both external and internal magnetic fields in relation to the wire's radius and current.

PREREQUISITES
  • Understanding of Ampère's Law
  • Familiarity with the Law of Biot & Savart
  • Basic knowledge of magnetic fields
  • Concept of Gaussian surfaces in electromagnetism
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  • Study the application of Ampère's Law in calculating magnetic fields
  • Research the derivation and applications of the Law of Biot & Savart
  • Explore the concept of Gaussian surfaces in electromagnetic theory
  • Learn about the magnetic field distribution in different geometries of current-carrying conductors
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Physics students, electrical engineers, and anyone interested in electromagnetism and the behavior of magnetic fields around conductors.

Master J
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A long, current carrying wire has a radius R and current I.
What is the magnetic field inside, and outside the wire?


Now, if it asked what is the field a distance r from the wire, I could simply use the Law of Biot & Savart (mu.I/2.pi.r). I havn't dome electricity in a while and I am stuck on this one.

I am sure its simple, I just need a nudge.

Thanks guys.
 
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I'm currently using my PDA so no complex equations.But you'll need to use the Gaussian surface for magnetic field.
 

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