Urgent: Help Needed on Ampere's Law Probolem (Totally Lost)

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SUMMARY

The discussion focuses on applying Ampere's Law to determine the magnetic field around two long parallel cylinders with radii "a" and "b" and an axial separation of "c" while a steady current "I" flows through the inner cylinder. It is established that the magnetic field intensity, H, around the inner cylinder can be expressed as H = μ₀I / (2πR), indicating that the magnetic field remains constant due to the steady current. The hint provided, "0 = 1 + (-1)," suggests a balance in the magnetic field contributions from both cylinders, reinforcing the conclusion that the inner cylinder maintains a constant magnetic field.

PREREQUISITES
  • Understanding of Ampere's Law and its application in magnetostatics
  • Familiarity with magnetic field intensity (H) and its calculation
  • Knowledge of cylindrical coordinates and geometry
  • Basic concepts of electric current and its effects on magnetic fields
NEXT STEPS
  • Study the derivation of Ampere's Law and its applications in different geometries
  • Learn about the magnetic field around cylindrical conductors
  • Explore the concept of magnetic field superposition in multi-conductor systems
  • Investigate the implications of steady versus time-varying currents on magnetic fields
USEFUL FOR

Students and professionals in physics or electrical engineering, particularly those studying electromagnetism and magnetic field theory, will benefit from this discussion.

Merrank
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The question is:

Between two long parallel cylinders of radius "a" and "b" (non-coaxial) and an axal separation of "c", a steady current of "I" flows. (See attachment below) Show that the inner cylinder (radius "a") has a constant magnetic field. Use Ampere's Law. [Hint: 0 = 1 + (-1)]

Could someone please show me step by step how to do this, I am completely lost.

Thank You
 

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This is interesting, I would suspect the simple fact that i(t) is constant would tell us that H(x,y,z,t) is also constant... wouldn't this fact come from using amperes law to show that the H field around the wire is simply

[tex]H=\frac{\mu_0i(t)}{2{\pi}R}[/tex] ?
 
And btw try not to double post :D
 

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