Calculating energy of electric field

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SUMMARY

The discussion centers on calculating the energy of the electric field between two concentric spherical shells with radii a and b, where the inner shell carries a charge q and the outer shell carries a charge of -q. The consensus is that while the net charge of the system is zero, an electric field exists in the region between the shells due to the opposing charges. The energy of the electric field can be calculated using the formula for the energy density of an electric field, which is relevant in this configuration.

PREREQUISITES
  • Understanding of electrostatics and electric fields
  • Familiarity with spherical coordinates and Gauss's Law
  • Knowledge of energy density in electric fields
  • Basic principles of charge distribution
NEXT STEPS
  • Study the application of Gauss's Law for spherical charge distributions
  • Learn how to calculate electric field energy density
  • Explore the concept of electric field between charged conductors
  • Investigate the implications of charge neutrality on electric fields
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in the principles of electric fields and energy calculations in electrostatic systems.

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Homework Statement


(a) Consider two concentric spherical shells, of radii a and b. Suppose the inner shell
carries a charge q and the outer shell carries -q (both of them uniformly distributed
over the surface). Calculate the energy of the electric field in this configuration.



Homework Equations





The Attempt at a Solution


I was just wondering if this would result in a net charge of zero, thus no electric field? And consequently no energy?
 
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There is no electric field outside the shells and inside the inner shell, but how about the space between the shells?
 

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