Current Inside long cylindrical Conductor

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SUMMARY

The discussion centers on the application of Ampere's Law to a long cylindrical conductor with radius R and uniformly distributed current I. The key formula derived is (r²/R²) * I, where r represents the radius of the circular ampere surface outside the cylinder. This formula is crucial for calculating the current enclosed by the ampere surface, which is essential for understanding magnetic fields around cylindrical conductors. The participant initially struggled with the concept but later clarified their understanding.

PREREQUISITES
  • Ampere's Law
  • Understanding of cylindrical coordinates
  • Basic principles of electromagnetism
  • Knowledge of current distribution in conductors
NEXT STEPS
  • Study the derivation of Ampere's Law in different geometries
  • Explore magnetic field calculations for cylindrical conductors
  • Learn about the Biot-Savart Law and its applications
  • Investigate the effects of varying current distributions on magnetic fields
USEFUL FOR

Students of physics, electrical engineers, and anyone interested in the fundamentals of electromagnetism and magnetic field calculations around conductors.

Tom McCurdy
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Hi guys,

I was wondering if someone could help explain something to me. I am just starting out learning about Ampere's law. I am looking at this example in the book and I don't get it. They have a cylindrical conductor with Radius R and current I. The current is uniformly distributed over the cross sectioanl area of the conductor. They take a surface that is like an extended circle outside the cylinder which makes sense to me, but I don't get how the current would be
(r^2/R^2)*I
where r is the radius of the circle of the ampere surface outside the cylinder.:confused:
 
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Haha Nevermind I figured it out... I misread something sorry for posting
 

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