Why does a loop contract in area to minimize flux linkage?

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SUMMARY

The discussion centers on the phenomenon where a loop contracts in area to minimize flux linkage, as stated in the homework problem. The key principle involved is Fleming's Left-Hand Rule, which indicates that the magnetic force acts radially outward from the center of the loop. However, the contraction of the loop area is necessary to reduce the overall magnetic flux linkage, thereby optimizing the system's efficiency. This principle is crucial in electromagnetic applications where minimizing flux linkage directly impacts performance.

PREREQUISITES
  • Understanding of electromagnetic principles, specifically flux linkage.
  • Familiarity with Fleming's Left-Hand Rule and its applications.
  • Basic knowledge of magnetic fields and forces.
  • Concept of loop area in electromagnetic systems.
NEXT STEPS
  • Research the relationship between loop area and magnetic flux in electromagnetic systems.
  • Study the implications of Fleming's Left-Hand Rule in practical applications.
  • Explore the mathematical formulation of flux linkage and its minimization techniques.
  • Investigate real-world examples of loop contraction in electrical engineering.
USEFUL FOR

Students in physics or electrical engineering, educators teaching electromagnetic theory, and professionals involved in designing electromagnetic systems.

arkofnoah
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Homework Statement


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Homework Equations





The Attempt at a Solution


The answer says that the loop will reduce in area to minimize the flux linkage, but why? using Fleming's left hand rule the magnetic force should direct radially away from the centre so why should there be any contraction in area?
 
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