Finding the electric field of following setup

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SUMMARY

The discussion focuses on calculating the electric field generated by two perpendicular infinite planes with charge densities \(\sigma\) and \(2\sigma\). Participants confirm that assuming the planes are infinitely long is valid, particularly near the origin, allowing the application of Gauss's Law. The electric field due to an infinite plane is a key concept that simplifies the problem significantly.

PREREQUISITES
  • Understanding of Gauss's Law
  • Knowledge of electric field concepts
  • Familiarity with charge density notation
  • Basic principles of electrostatics
NEXT STEPS
  • Study the derivation of the electric field from an infinite plane charge
  • Explore applications of Gauss's Law in different geometries
  • Investigate superposition principles in electrostatics
  • Learn about the effects of multiple charge distributions on electric fields
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in electrostatics, particularly those studying electric fields and charge distributions.

brainslush
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Homework Statement


Assume two perpendicular planes one with charge density [itex]\sigma[/itex] and the other with a charge density [itex]2\sigma[/itex]. Find the electric field.

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[itex]\sigma[/itex] |
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_ |__________________
//|////// [itex]2\sigma[/itex]///////////////
//|

Homework Equations


The Attempt at a Solution


I got a question. Can I assume that the planes are infinitly long, specially close to the origin? In such a case, I could apply the Gaus-law.
 
Last edited:
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Hi brainslush. By definition a plane is of infinite extent. If you know the result for the field due to an infinite plane of a given charge density, then you're (almost literally) halfway there!
 

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