Wire loop parallel to and above an infinite plane of iron

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SUMMARY

The discussion centers on calculating the force on a wire loop with a current of 10A positioned a distance d above an infinite plane of iron, characterized by a permeability of 5μ₀ and a loop radius of 2d. The solution involves using the method of image currents to represent the effect of the conductive plane. The participant expresses confusion about relating the original current I to the image current I' and seeks guidance on the correct approach to solve the problem.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically the concept of image currents.
  • Familiarity with the Biot-Savart Law and its application in calculating magnetic fields.
  • Knowledge of magnetic permeability and its significance in electromagnetic interactions.
  • Basic principles of force calculations in magnetic fields.
NEXT STEPS
  • Study the method of image currents in electromagnetic problems.
  • Learn how to apply the Biot-Savart Law to calculate magnetic fields around current-carrying loops.
  • Research the effects of different materials on magnetic field distribution, focusing on permeability.
  • Explore force calculations on current loops in magnetic fields, including relevant equations and examples.
USEFUL FOR

Students and professionals in physics or electrical engineering, particularly those working on electromagnetic theory and applications involving current loops and conductive materials.

khfrekek1992
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Homework Statement



A wire Loop R with a current I=10A running through it, is distance d above an infinite plane of iron with mu=5mu_0 R=2d. Find the force on the loop

Homework Equations



I would assume you could use image currents in the plane of iron to solve this

The Attempt at a Solution



I have no idea where to start: I drew an "image current loop" a distance d BELOW the plane, labeled I', and now I need to get I in terms of I'? How am I supposed to do that?

Thanks in advance
 
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Or is there another way of doing this that I'm somehow missing?
 
I am so lost.. :(
 

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