B-field from a current in a wire above a conducting surface

AI Thread Summary
The discussion centers on understanding the magnetic field generated by an infinite current wire positioned above a neutral, conducting surface. The initial thought was to apply imaging techniques, typically used in electrostatics, to analyze the magnetic field behavior. It is noted that adding a current in the opposite direction does not lead to cancellation of fields at the surface. The key equation for the magnetic field around a wire is provided, emphasizing the circumferential nature of the field. The conclusion suggests that imaging techniques can be effectively utilized for this scenario.
Sidsid
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Homework Statement
What is qualitatively the difference between the magnetic field of an infinite current wire and one with the addition of an infinite , neutral, conducting surface under it. Find it for points between them,under the surface, and above the wire. The magnetic field is 0 at the conductor.
Relevant Equations
B= (mu_0* I)/(2pi r) (circumferential)
I first thought of imaging techniques, because the setup reminded me of it, but i have only ever seen those of electrostatics. If i for example add a current in the opposite direction and with the opposite heigth of the surface the fields dont cancel out at the surface, i think. What is the best approach?
 
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Sidsid said:
Homework Statement: What is qualitatively the difference between the magnetic field of an infinite current wire and one with the addition of an infinite , neutral, conducting surface under it. Find it for points between them,under the surface, and above the wire. The magnetic field is 0 at the conductor.
Relevant Equations: B= (mu_0* I)/(2pi r) (circumferential)

I first thought of imaging techniques, because the setup reminded me of it, but i have only ever seen those of electrostatics. If i for example add a current in the opposite direction and with the opposite height of the surface the fields don't cancel out at the surface, i think. What is the best approach?
Yes. Use imaging techniques.
 
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