How to Apply Gauss's Law for Symmetrical Electric Objects?

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SUMMARY

This discussion focuses on applying Gauss's Law to solve electrostatic problems involving symmetrical electric objects, specifically an infinite cylindrical shell of non-conducting material. The key takeaway is that when selecting a Gaussian surface, it is crucial to ensure that the faces are either perpendicular or parallel to the electric field. Only the faces that are perpendicular contribute to the integral of E·A, simplifying the calculation process.

PREREQUISITES
  • Understanding of Gauss's Law
  • Familiarity with electrostatics and electric fields
  • Knowledge of cylindrical symmetry in electrostatics
  • Basic calculus for evaluating integrals
NEXT STEPS
  • Study the application of Gauss's Law in various symmetrical situations
  • Learn about electric field calculations for infinite cylindrical shells
  • Explore the concept of Gaussian surfaces in electrostatics
  • Review integral calculus techniques for evaluating E·A integrals
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone studying electrostatics, particularly those tackling problems involving symmetrical electric objects and Gauss's Law.

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Homework Statement



I need a strategy to resolve electrostatic problems such as the infinite cylindrical shell of radius r1 and r2 of non conducting material. I'm confused in applying a gaussian surface in this and others cases. Is there a recipe for it?

Homework Equations



Gauss's law.


The Attempt at a Solution

 
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Usually, the faces of a Gaussian surface are either perpendicular or parallel to the electric field. The faces that are parallel contribute nothing to the sum (or integral) of E·A (or E·dA). Also, the field is usually of equal magnitude over the faces where it is perpendicular, so those have a contribution of simply E·A.
 

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