Magnetic field due to wire and conducting plane

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SUMMARY

The discussion centers on calculating the magnetic field generated by a current-carrying wire above and below a conducting plane. The magnetic field above the plane is determined to be B = (μI)/(2πx), while the field below the plane is zero. This conclusion is derived using Ampere's Law, specifically for a half-infinite wire as referenced in Irodov's General Physics book (problem 3.232). The confusion arises from understanding the behavior of the magnetic field in relation to the conducting plane.

PREREQUISITES
  • Understanding of Ampere's Law in electromagnetism
  • Familiarity with magnetic fields generated by current-carrying conductors
  • Knowledge of the properties of conducting planes
  • Basic concepts of magnetic field lines and their behavior in different media
NEXT STEPS
  • Study the application of Ampere's Law in different geometries
  • Explore the concept of magnetic shielding and its implications
  • Learn about the behavior of magnetic fields in the presence of conductors
  • Investigate the principles of electromagnetic induction related to conducting planes
USEFUL FOR

Physics students, electrical engineers, and anyone studying electromagnetism or working with magnetic fields in conductive materials will benefit from this discussion.

bsdnoob
< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown >[/color]

This problem is bugging me since a week so I decided to post this here

Suppose we have a wire with some current 'I' and which at a point 'o' spreads radially in all direction along conducting plane perpendicular to wire so what will be magnetic field at above and below plane?Here's the diagram
MTWNpFM.jpg

My approach to this problem was to find magnetic field due to individual current carrying elements . For wire I used Ampere's law to find it as B= (mu) . I /4πx (for half infinite wire)but I am confused about it from conducting plane ? Answer is given to be 0 for region below plane , how is this possible? And for above plane is given (mu)I/2πx but how? can someone help?
This problem is given in irodov's general physics book. (3.232)
 
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bsdnoob said:
(for half infinite wire)
Why half?
 
Using Ampere's law sounds like a good approach. Can you explain in detail how you set up Ampere's law to get your answer?
 

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