Electrical potential inside a sphere using integration

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SUMMARY

The discussion focuses on calculating the electrical potential inside a spherical shell with total charge Q using integration techniques. Participants confirm that the potential is zero based on Gauss's Law, which states that the electric field inside a uniformly charged shell is zero. The conversation highlights the need for clarity on whether to apply Gauss's Law or Coulomb's Law for integration purposes. The integration process itself is identified as a mathematical challenge rather than a purely physics problem.

PREREQUISITES
  • Understanding of Gauss's Law and its implications for electric fields
  • Familiarity with Coulomb's Law for electric potential calculations
  • Basic knowledge of integration techniques in calculus
  • Concept of electric potential and its relation to charge distribution
NEXT STEPS
  • Study the application of Gauss's Law in electrostatics
  • Learn integration techniques specifically for electric field calculations
  • Explore the mathematical derivation of electric potential from Coulomb's Law
  • Investigate examples of electric potential in different charge configurations
USEFUL FOR

Physics students, electrical engineers, and anyone interested in electrostatics and mathematical integration in physics.

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Homework Statement


Find the electrical potential inside a spherical shell carrying a
total charge Q by integrating over the surface.

Homework Equations


E=k q/r^2

The Attempt at a Solution


I know the answer is zero from Gauss's law, but I don't know how to do the integration to get it.
 
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Do you want to use gauss' law or coulombs law? What integration are you asking about?
This also might be more of a math problem.
 

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