Calculating Coaxial Cable Insulation Resistance for Radial Current Density

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SUMMARY

The discussion focuses on calculating the insulation resistance of a coaxial cable with a radial current density. The approach involves analyzing cylindrical shells of radius r and thickness dr, where each shell's resistance is denoted as dR. The method has been confirmed as correct, indicating a reliable understanding of the problem. This clarification builds on previous discussions, ensuring consistency in the approach to coaxial cable insulation resistance calculations.

PREREQUISITES
  • Understanding of coaxial cable structure and properties
  • Familiarity with electrical resistance concepts
  • Knowledge of current density and its implications
  • Basic calculus for analyzing cylindrical shells
NEXT STEPS
  • Study the derivation of resistance in cylindrical coordinates
  • Explore the impact of insulation materials on resistance
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  • Investigate practical applications of coaxial cables in electrical engineering
USEFUL FOR

Electrical engineers, physics students, and professionals involved in cable design and analysis will benefit from this discussion, particularly those focused on insulation resistance and current density in coaxial cables.

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Homework Statement


Determine the insulation resistance in a coaxial cable of length L, with conductivity, as shown in Figure assume that the current density J is radial direction.

figura2.png


The Attempt at a Solution



so i was wondering if this approach is correct,

consider a sequence of cylindrical shells of radius r and thickness dr. Each shell has a resistance dR given by:

image.png
 
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This has already been posted and responded to.
The method is correct this time (I seem to recall it changed from the last post).
 

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