Electric field in a more difficult situation

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SUMMARY

This discussion focuses on calculating the electric field between two differently sized charged plates, specifically when a neutral conducting plate is positioned near a smaller charged plate. It is established that the induced charge on the larger plate is not uniformly distributed, complicating the estimation of the exact charge distribution. The conversation highlights that calculations for electric fields in such configurations are complex and often rely on approximations, particularly for large plates with a high area-to-perimeter ratio.

PREREQUISITES
  • Understanding of electrostatics and electric fields
  • Familiarity with charge distribution concepts
  • Knowledge of Gauss's Law
  • Experience with mathematical modeling of electric fields
NEXT STEPS
  • Study the principles of charge induction on conductors
  • Learn about the application of Gauss's Law in complex geometries
  • Explore numerical methods for electric field calculations
  • Investigate the effects of plate size and shape on electric field distribution
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Physics students, electrical engineers, and researchers interested in electrostatics and electric field calculations in complex configurations.

umciukas
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Could someone give me any ideas on how to calculate the electric field betweet two different size charged plates? The situation sounds like this: a neutral conducting plate is put near a charged smaller plate.
Could I say that the induced charge on the bigger plate is uniformly distributed? Otherwise how could I estimate the exact charge distribution?
 
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Can't say it is evenly distributed. The calculation is not trivial. Even for identical plates the calculations are difficult so expression you often see is actually an approximation for large plates (high area/perimeter ratio).
 

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