How does the method of image charges work between two conducting surfaces?

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SUMMARY

The method of image charges effectively models the behavior of a real charge situated between two conducting surfaces. When a real charge is placed between these surfaces, the method involves reflecting the charge across each conducting plate, resulting in an infinite series of imaginary charges. This iterative mirroring process allows for the accurate calculation of electric fields and potentials in complex configurations. The discussion confirms that both the bottom plate and the imaginary charge are reflected across the upper plate, creating a comprehensive model for analysis.

PREREQUISITES
  • Understanding of electrostatics and electric fields
  • Familiarity with the method of image charges
  • Basic knowledge of conducting surfaces and their properties
  • Ability to interpret and create simple diagrams of charge configurations
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  • Study the mathematical derivation of the method of image charges
  • Explore applications of image charges in solving electrostatic problems
  • Learn about the limitations and assumptions of the method of image charges
  • Investigate related concepts such as boundary conditions in electrostatics
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Students of physics, electrical engineers, and anyone interested in advanced electrostatics and charge interaction modeling.

dimensionless
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I'm reading about the method of image charges at

http://en.wikipedia.org/wiki/Method_of_image_charges

The page describes a charge located above a single conducting surface. What happens if the charge is between two conducting surfaces? Does the bottom plate, along with the imaginary charge get reflected across the plate above the real charge? I've typed a simple diagram below.


(+) imaginary charge

------------ imaginary plate

(-) imaginary charge

========== real plate

(+) real charge

========== real plate

(-) imaginary charge

------------ imaginary plate

(+) imaginary charge
 
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dimensionless said:
Does the bottom plate, along with the imaginary charge get reflected across the plate above the real charge?
Yes. In short, you can do the mirroring in steps. This will ultimately lead to an infinite chain of charges as described in your post.
 

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