Electric field of charged infinite line and plane

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SUMMARY

The electric field of an infinite line of charge is inversely proportional to the distance from the line, while the electric field of an infinite plane of charge remains constant regardless of distance. This distinction arises from the geometric distribution of charge in three-dimensional space. The mathematical derivations confirm these behaviors, but understanding the physical reasoning behind them is crucial for deeper comprehension.

PREREQUISITES
  • Understanding of electric fields and charge distributions
  • Familiarity with Gauss's Law
  • Basic knowledge of vector calculus
  • Concept of three-dimensional spatial dimensions
NEXT STEPS
  • Study Gauss's Law applications in electrostatics
  • Explore the mathematical derivation of electric fields for different charge distributions
  • Investigate the physical implications of electric field behavior in three dimensions
  • Learn about the inverse-square law and its relation to electric fields
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Students of physics, educators teaching electromagnetism, and anyone interested in understanding electric field behavior in relation to charge distributions.

Angelos
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Hi...

I have hopefuly simple question, which however drives me crazy...
I know how to mathematically derive that infinite line of charge has its electric field inversly proportional to the distance from it and also I know how to derive that infinite plane of charge has its electric field constant. Nevertheless I don't see why is this. Why the E-field of infinite line changes, but one of infinite plane does not? I mean I don't see the physical reason for it.

Thanks for any help.
 
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