Theory of Images or Gauss's Law for Concentric Conducting Spheres?

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SUMMARY

The discussion centers on solving a physics problem involving two concentric conducting spheres, where one is grounded and the other is at a potential V0. The participants debate whether to apply the theory of images or Gauss's Law for the analysis. Ultimately, the consensus leans towards using the theory of images as the most effective method for determining the charge on each sphere, despite initial concerns about its complexity.

PREREQUISITES
  • Understanding of electrostatics and electric potential
  • Familiarity with Gauss's Law
  • Knowledge of the theory of images in electrostatics
  • Basic concepts of conducting spheres and charge distribution
NEXT STEPS
  • Study the application of the theory of images in electrostatics problems
  • Review Gauss's Law and its implications for spherical symmetry
  • Explore examples of charge distribution on concentric conductors
  • Investigate potential differences in grounded and charged conductors
USEFUL FOR

Students and educators in physics, particularly those focusing on electrostatics, as well as anyone interested in advanced problem-solving techniques involving conducting spheres.

atomicpedals
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Homework Statement



Two conducting spheres are concentric, the radius of the inner being a and the outer being b. One sphere is grounded & the other is at a potential V0. Find the charge on each when the grounded sphere is a) the outer, b) the inner.

2. The attempt at a solution

Is this an appropriate application for theory of images? Or is it a far more straightforward application of Gauss's Law?

I'm tempted to use image charges from one sphere to the other, but fear that's making life harder than it needs to be.
 
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Ok, I've become comfortably certain that images are the way to go.
 
Out of curiosity, what is your image system?
 

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