Question about an image charge problem

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Homework Help Overview

The discussion revolves around the concept of image charges in electrostatics, specifically in relation to grounded conducting planes and spheres. Participants are exploring how to set up image charges to satisfy boundary conditions in different geometrical configurations.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to understand how to configure image charges for a given boundary condition and seeks clarification on the deduction process. Other participants question the dimensionality of the problem and express confusion regarding the setup for both 2D and 3D scenarios.

Discussion Status

Participants are actively engaging with the problem, with some offering hints based on their understanding of image charges. There is a mix of interpretations regarding the dimensional aspects of the problem, and while some guidance has been provided, explicit consensus on the approach has not been reached.

Contextual Notes

There is mention of confusion regarding whether the problem is in 2D or 3D, which may affect the setup of image charges. The original poster has indicated familiarity with certain configurations, but specific details are not fully explored.

Jefferson Yun
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Homework Statement


.
image charge problem.jpg

With this problem, how should I set image charges so as to satisfy the same boundary condition?
And if possible, could you let me know how can that image charge configuration be deduced?
Thanks for reading.

Homework Equations

The Attempt at a Solution


Well, I first put images charges just at the opposite side of the planar and spherical boundary. But I don't know what to do next.
 
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I guess the boundary is like this in 3D, right? :
Capture.PNG


Do you know how to set up image charge for grounded conducting plane and for grounded conducting sphere?
 
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arpon said:
I guess the boundary is like this in 3D, right? :
View attachment 107796
arpon said:
I guess the boundary is like this in 3D, right? :
View attachment 107796

Do you know how to set up image charge for grounded conducting plane and for grounded conducting sphere?
Do you know how to set up image charge for grounded conducting plane and for grounded conducting sphere?
No, actually it was 2d. But that situation is confusing as well. Could you let me know how should I set image charges in that situation, if possible?
And I know how to set the image charges for a ground conducting sphere or a plane. I know how to for a hemispherical bump attached on a plane as well.
 
Untitled.png

If you know how to set mirror charges for grounded conducting plane and sphere, this picture is enough hint for you.
 

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