Potential V and electric field E for uniform charge density on sphere

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SUMMARY

The discussion focuses on deriving expressions for the electric potential V and electric field E due to a uniform charge density (ρ) within a sphere of radius R. The key approach involves applying Gauss's Law, which is essential for problems exhibiting spherical symmetry. The potential and electric field can be calculated for points both inside and outside the sphere, leveraging the principles of electrostatics.

PREREQUISITES
  • Understanding of Gauss's Law
  • Familiarity with electric potential and electric field concepts
  • Knowledge of uniform charge density
  • Basic principles of electrostatics
NEXT STEPS
  • Study the derivation of electric field E using Gauss's Law for spherical charge distributions
  • Explore the mathematical formulation of electric potential V in electrostatics
  • Investigate the implications of charge density variations on electric fields
  • Learn about the applications of spherical symmetry in electrostatic problems
USEFUL FOR

Physics students, electrical engineers, and anyone studying electrostatics or working on problems involving charge distributions and electric fields.

emiliocavalcanti
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One problem I can't solve.

A uniform charge density of p coul/m3 is in the shape of a sphere of radius R.
Find expressions for the potential V and the field E at a distance r from the center, for points inside or outside the sphere.

Can u help me?
 
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Send in your solution first...and then we can help you out better.

What is your specific problem with this?


Cheers
Vivek
 
Two words: Gauss's Law. This should probably be the first thing to pop into your head whenever you see spherical symmetry in a problem.
 

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