How to prove that a electric field is constant

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SUMMARY

The discussion focuses on proving that an electric field is constant on an infinite plane without relying on mathematical equations. The key insight is that as one approaches the infinite plane, the contributions to the electric field from distant points become less significant, while the contribution from the point directly beneath remains constant. This intuitive understanding highlights the balance of electric field contributions, leading to the conclusion that the electric field remains uniform across the plane.

PREREQUISITES
  • Understanding of electric fields and their properties
  • Familiarity with the concept of electric field lines
  • Basic knowledge of vector addition in physics
  • Concept of charge distribution on an infinite plane
NEXT STEPS
  • Research the concept of electric field uniformity in electrostatics
  • Study the mathematical derivation of electric fields from infinite charge distributions
  • Explore the implications of Gauss's Law in relation to infinite planes
  • Learn about the behavior of electric fields in different geometries, such as spherical and cylindrical distributions
USEFUL FOR

Physics students, educators, and anyone interested in understanding electrostatics and electric field behavior in various configurations.

Edwan
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I know mathematicly how to prove that a electric field is constant on an infinite plane, but how physicly I could prove that a electric field is constant ( i.e without mathematical equation) on an infinite plane, which means that the electric field don't change because of the radius like in a normal charge ( where the electric field change by 1/r2.

Thank you!






P.S. Its not an homework question!
 
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Intuitively, you can visualise that the closer you get to the infinite plane, fewer of the direction vectors originating from the plane to the point remain orthogonal to the plane. Which means that the E-field contributions from those parts of the plane decrease, whereas the E-field contribution from the point on the plane directly underneath the point increases. The decrease from the other parts of the plane = increase due to that point on the plane directly underneath that point. So it sorts of cancels out.

Granted this is a very hand-waving type of explanation, but it's the best you can come up without working through the equations.
 

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