Distance independence of electric field strength

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SUMMARY

The discussion centers on the distance independence of electric field strength from insulating surface charges, specifically sheets and shells, as described by Gauss's Law. It is established that the electric field remains constant regardless of distance from the charge, which is crucial for understanding electric forces on charges like protons near charged plates. The user seeks clarification on calculating electric potential near a spherical shell of charge, indicating a need for proper application of line integrals in relation to the electric field equation derived from Gauss's Law.

PREREQUISITES
  • Understanding of Gauss's Law and its application to electric fields
  • Familiarity with electric potential and line integrals
  • Basic knowledge of electrostatics and charge distributions
  • Concept of electric field strength and its relation to distance
NEXT STEPS
  • Study the derivation of electric fields from Gauss's Law for different charge geometries
  • Learn how to perform line integrals in electrostatics to find electric potential
  • Explore the concept of electric field strength in relation to insulating materials
  • Investigate the implications of electric field uniformity in parallel plate configurations
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Students of physics, electrical engineers, and anyone interested in the principles of electrostatics and electric field calculations.

SquidgyGuff
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I was just wondering why the strength of the electric fields of insulating surface charges like sheets and shells aren't dependent on the distance from the charge according to Gauss's Law?
 
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jtbell said:
Maybe the diagram and discussion following this post (particularly post #12) will help:

https://www.physicsforums.com/threads/electron-between-parallel-plates.820676/#post-5151253

It's written in terms of the electric force on a charge (a proton) near the plate, not the electric field, but the basic idea is the same.
But Gauss's Law does give the equation for the electric field right? I'm trying to find the electric potential near a spherical shell of charge but in order to find that I need to be able to take the line integral with respect to r (the distance), but that would give me (q/epsilon naught)r. And that doesn't seem right.
 

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