Self Energy of a thin insulating cylinder

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SUMMARY

The self energy of an infinitely long, thin insulating cylinder with linear charge density can be expressed as energy per unit length. The discussion highlights that the self energy diverges, indicating that traditional methods of calculation may not apply directly. A systematic approach is necessary to handle the divergence and accurately compute the self energy. Utilizing concepts from electrostatics and energy density calculations will be essential in resolving this issue.

PREREQUISITES
  • Understanding of electrostatics and electric fields
  • Familiarity with energy density concepts in physics
  • Knowledge of linear charge density and its implications
  • Experience with mathematical techniques for handling divergences
NEXT STEPS
  • Research methods for calculating energy density in electrostatics
  • Learn about regularization techniques for divergent integrals
  • Explore the concept of self energy in different geometries
  • Study the implications of linear charge density on electric field distribution
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Physicists, electrical engineers, and students studying electromagnetism who are interested in advanced topics related to charge distributions and energy calculations.

Rawrzz
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Any idea how to approach finding the self energy of an infinitely long, thin insulating cylinder.


It's got linear charge density so I can probably express the self energy as energy/length.


I just don't know how to approach it.
 
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That self energy diverges.
 

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