Electrostatic self energy of a uniform density sphere

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SUMMARY

The discussion focuses on calculating the electrostatic self-energy of a spherical shell of charge with negligible thickness, radius a, and total charge Q. The key conclusion is that the self-energy can be derived using the concept of work done to assemble the charge distribution from an infinite distance. Participants emphasize the importance of showing the step-by-step derivation to clarify the process involved in reaching the final formula for the self-energy.

PREREQUISITES
  • Understanding of electrostatics principles
  • Familiarity with the concept of electric potential energy
  • Knowledge of integration techniques in physics
  • Basic grasp of spherical coordinate systems
NEXT STEPS
  • Study the derivation of electrostatic self-energy for different charge distributions
  • Learn about the application of Gauss's Law in electrostatics
  • Explore the concept of electric potential due to spherical charge distributions
  • Investigate the relationship between charge density and electric field strength
USEFUL FOR

Students and educators in physics, particularly those studying electrostatics, as well as researchers interested in charge distribution and energy calculations in electrostatic systems.

ccheck13
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Homework Statement


"In class we calculated the electrostatic self energy of a uniform density sphere of charge, i.e., the work required to assemble the sphere from "infinite dispersal." Along the same lines, calculate the electrostatic self energy of a spherical shell of charge, of negligible thickness, radius a, and total charge Q. Note that the radius of the charge distribution does not vary as you build it up.
 
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I think you need to show your work first.
 
What was your attempt to solution?
 

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