Solve Image Charge Problem: No Quotes

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SUMMARY

The discussion focuses on solving the image charge problem related to a charged cylinder and a conducting plane. The potential of the cylinder is expressed as -q/2πε ln r, derived using Gauss's theorem. Participants emphasize the importance of understanding the symmetry involved in applying Gauss's theorem and the implications of charge distribution on the potential. The method of images is confirmed as the appropriate approach, although there are concerns about the accuracy of the mathematical representation in the solution.

PREREQUISITES
  • Understanding of Gauss's theorem
  • Familiarity with the method of images in electrostatics
  • Knowledge of electric potential and charge distribution
  • Basic calculus for evaluating potential equations
NEXT STEPS
  • Study the application of Gauss's theorem in electrostatics
  • Research the method of images for various geometries
  • Learn about charge distribution effects on electric potential
  • Explore advanced topics in electrostatics, such as potential energy calculations
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Students and professionals in physics, particularly those studying electrostatics, as well as educators looking for insights into teaching the image charge problem effectively.

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Homework Statement


asdasd.PNG


Homework Equations

The Attempt at a Solution



I don't understand what is the meaning of "potential of cylinder relative to the plane"
I think the potential of cylinder is just -q/2πε ln r by Gauss's theorem[/B]
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What symmetry is there that you use in the Gauss theorem ? Does that apply here ?
What does the ##\Phi## you write down represent ?

It will require a certain amount of work to drag the cylinder to infinity. Isn't that work, divided by the charge, the answer the exercise ants from you ?
 
BREAD said:
the potential of cylinder is just -q/2πε ln r by Gauss's theorem
The cylinder will induce a charge distribution in the plane. That in turn will affect the potential at the cylinder.
You attach some working but don't explain it. The method of images is certainly the right way, but it looks like a z+d got changed to a z-d at the second line.
 

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