Can Gauss's Law Derive the Electric Field Around a Uniformly Charged Ring?

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SUMMARY

The discussion centers on the inability to derive the formula for Electric Field Intensity around a uniformly charged ring using Gauss's Law due to insufficient symmetry. Participants confirm that the symmetry of the charged ring does not meet the necessary conditions for applying Gauss's Law effectively. As a result, alternative methods must be employed to analyze the electric field in this scenario.

PREREQUISITES
  • Understanding of Gauss's Law in electrostatics
  • Familiarity with electric field concepts
  • Knowledge of symmetry in physical systems
  • Basic calculus for field derivation
NEXT STEPS
  • Study alternative methods for calculating electric fields, such as integration techniques
  • Explore the concept of electric field lines and their implications
  • Learn about the electric field of other charge distributions, like point charges and charged disks
  • Investigate the role of symmetry in electrostatics and its impact on field calculations
USEFUL FOR

Physics students, educators, and anyone interested in electrostatics and electric field calculations will benefit from this discussion.

LAByrinthAC
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Hey guys can we derive the formula of Electric Field Intensity around a uniformly charged ring if yes please share the derivation thanks
 
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Hi LAByrinthAC and welcome to PF.

No we cannot because the symmetry is not high enough.
 

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