Understanding Uniform Electric Fields: Why is Magnitude Always the Same?

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SUMMARY

The discussion centers on the characteristics of uniform electric fields generated by an infinite non-conducting sheet with a uniformly distributed positive charge. It is established that the electric field (E) is constant in magnitude and direction at any point due to the infinite nature of the sheet. The symmetry of the sheet allows for the application of Gauss's law, which confirms that the electric field does not vary with distance from the plane. Consequently, the electric field remains perpendicular to the sheet and maintains a consistent magnitude throughout.

PREREQUISITES
  • Understanding of electric fields and their properties
  • Familiarity with Gauss's law
  • Knowledge of symmetry in physics
  • Concept of electric flux
NEXT STEPS
  • Study Gauss's law applications in electrostatics
  • Explore the concept of electric flux in detail
  • Investigate the effects of charge distribution on electric fields
  • Learn about non-conducting materials and their influence on electric fields
USEFUL FOR

Students of physics, educators teaching electromagnetism, and anyone interested in the principles of electric fields and their applications in electrostatics.

Shahid0072
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Hi all ..
I was studying this electric field due to infinite non conducting sheet having uniformly distributed positive charge..Electric field due to it is of same direction and magnitude at any point..Which is called uniform electric field!I understood why direction of field is always perpendicular to plane of sheet and away from it..But i have doubt why it same same magnitude everywhere??Is it because it is infinite?
 
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Its infinite..Just make sure
 


Because the plane is infinite, you can use symmetry to argue that the field mst be perpendicular to the plane. Then, Gauss's law can be used to show that E does ot depend on the distance from the plane.
 


As the sheet is infinite, the lines of flux cannot diverge. Henceforce, the E field is constant no matter what distance you are from the infinite sheet of charge.

Claude.
 
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