Electromagnetic field profile around a closed loop

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SUMMARY

The discussion focuses on determining the electromagnetic field profile around a charged closed loop, specifically in the direction normal to the loop's plane. It confirms that expressions for the fields at central axis points of a circular loop can be derived easily. However, calculating the general fields at any point in space is complex, requiring elliptic integrals and numerical methods. Relevant resources include HyperPhysics links for electric and magnetic fields of circular loops.

PREREQUISITES
  • Understanding of electromagnetic fields
  • Familiarity with elliptic integrals
  • Knowledge of numerical methods in physics
  • Basic concepts of charged loops and their properties
NEXT STEPS
  • Study the derivation of electric fields for circular loops using HyperPhysics resources
  • Research elliptic integrals and their applications in electromagnetic theory
  • Explore numerical methods for solving complex electromagnetic field problems
  • Examine academic papers on electromagnetic fields around closed loops
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism, particularly those interested in field calculations around charged loops.

strobeda
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Is there a way to determine the profile of the field around a charged closed loop - particularly on the direction normal to the plane of the loop, both front and back?
For generic values of V, I, B, H, etc., and any dimensions of the loop, any particular formulae possible to obtain?

Thank you in advance.
 
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strobeda said:
Is there a way to determine the profile of the field around a charged closed loop - particularly on the direction normal to the plane of the loop, both front and back?
For generic values of V, I, B, H, etc., and any dimensions of the loop, any particular formulae possible to obtain?

Thank you in advance.
Yes, of course. Expressions for the fields of the circular loop on central axis points can be easily derived. See:
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elelin.html
and
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/curloo.html#c1
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/curloo.html#c1
General fields at any point in space are way more difficult to determine and they involve elliptic integrals and numerical methods.
See papers like and like
 

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