Integration limits for Gaussian surface

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SUMMARY

The discussion centers on setting up integrals to find the electric flux through a nonconducting spherical shell with inner radius A and outer radius B. It is established that the Gaussian surface should be just inside the outer radius B, meaning the limits of integration should be from A to just below B. The concept of using a variable r_g, where A < r_g < B, is proposed to clarify the upper limit of integration. The distinction between finding flux through surfaces A or B and determining the potential difference between these two surfaces is also emphasized.

PREREQUISITES
  • Understanding of Gauss's Law
  • Familiarity with electric flux concepts
  • Knowledge of spherical coordinates
  • Basic calculus for setting up integrals
NEXT STEPS
  • Study Gauss's Law applications in electrostatics
  • Learn about electric flux calculations in nonconducting materials
  • Explore spherical coordinate integration techniques
  • Investigate potential difference calculations in electrostatics
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Students studying electromagnetism, physics educators, and anyone interested in advanced calculus applications in electric fields.

auk411
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Homework Statement



Say you have a nonconducting spherical shell. A is the inner radius and B is the outer radius. If you wanted to set up an integral to find the flux, would the gaussian surface include B, or be just inside it? That is, would the limits of integration go from A to B?

If the limits did not include the actual surface with the radius B, would you just do something like this: come up with some other variable r_g, where A < r_g < B for the upper limit of integration?
 
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auk411 said:
Say you have a nonconducting spherical shell. A is the inner radius and B is the outer radius. If you wanted to set up an integral to find the flux, ...
To find the flux through which surface, A or B? I suspect that you are confusing finding the flux through either A or B with finding the potential difference between A and B.
 

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