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

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SUMMARY

The discussion focuses on the qualitative differences in the magnetic field generated by an infinite current wire when placed above a neutral, conducting surface. The relevant equation provided is B = (μ₀ * I) / (2πr), which describes the circumferential magnetic field around the wire. The participants suggest using imaging techniques to analyze the magnetic field interactions, particularly noting that the magnetic field remains zero at the conductor's surface. The inquiry emphasizes understanding the behavior of magnetic fields in the presence of conducting materials.

PREREQUISITES
  • Understanding of magnetic fields and their equations, specifically B = (μ₀ * I) / (2πr)
  • Familiarity with the concept of conducting surfaces in electromagnetic theory
  • Knowledge of imaging techniques in electrostatics
  • Basic principles of current flow and its effects on magnetic fields
NEXT STEPS
  • Research the application of imaging techniques in magnetostatics
  • Study the effects of conducting surfaces on magnetic field distributions
  • Explore the differences between electrostatic and magnetostatic imaging methods
  • Investigate the implications of current direction on magnetic field behavior
USEFUL FOR

Students and professionals in physics, particularly those studying electromagnetism, as well as educators seeking to explain the interaction between currents and conducting surfaces.

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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