Solving Infinite Cylinder Homework w/ Electric Field Inside Void

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SUMMARY

The discussion focuses on solving a physics homework problem involving an infinitely large charged dielectric cylinder with a cylindrical void. The key conclusion is that the electric field inside the void is homogeneous, and its value can be determined by applying Gauss's law. By considering two cylinders—one with a positive charge density and another with an equal but opposite charge density to create the void—the resultant electric field can be calculated as the sum of the fields from both cylinders.

PREREQUISITES
  • Understanding of Gauss's Law in electrostatics
  • Familiarity with electric field concepts in dielectric materials
  • Knowledge of charge density and its effects on electric fields
  • Basic principles of superposition in electric fields
NEXT STEPS
  • Study the application of Gauss's Law in cylindrical coordinates
  • Research the properties of electric fields in dielectric materials
  • Explore the concept of superposition in electrostatics
  • Learn about the behavior of electric fields in voids within charged materials
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone studying electrostatics, particularly those dealing with problems involving electric fields in charged dielectrics and voids.

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Homework Statement


In an infinitely large evenly charged dielectric cylinder(charge density is [itex]\rho[/itex] ) there is an infinitely large cylindrical void. Prove that the electric field inside the void is homogenous and find its value. (picture)
http://img513.imageshack.us/img513/5747/61734727.png

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Homework Equations


The Attempt at a Solution


I don't think i can use Gauss law here. Any ideas ?
 
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You can calculate the field at any point (radius) in a uniformly charged cylinder using Gauss's law. Now add 2 cylinders, one big and one small, of opposite charge densities to create the hole. The field within is the sum of the fields within each cylinder.
 

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