Magnetic field due to wire and conducting plane

AI Thread Summary
The discussion centers on calculating the magnetic field produced by a current-carrying wire that spreads radially along a conducting plane. The user seeks clarification on why the magnetic field is zero below the plane and how to derive the field above the plane as μI/2πx. They initially used Ampere's law to find the magnetic field from the wire but are confused about the contribution from the conducting plane. Participants suggest using Ampere's law effectively and emphasize the significance of the plane's properties in determining the magnetic field in different regions. The conversation highlights the complexities of applying electromagnetic principles to this specific configuration.
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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