How do I draw the diagram of the mirror charge

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Homework Help Overview

The problem involves two point charges, +q and -q, positioned in a Cartesian coordinate system, with a conductor occupying the half-space of positive x. The task is to determine the positions and values of the mirror charges and to create a sketch that represents this setup, particularly considering the conductor's influence.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss how to visualize the conductor's presence and its interface with the charges. There are attempts to clarify the nature of the conductor, with some suggesting it can be represented as an infinite plane rather than a block. Questions arise about the correct way to sketch the scenario, particularly regarding the y-z plane and the implications of the conductor's geometry.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the conductor's representation. Some guidance has been offered regarding sketching techniques, but there is still uncertainty about the correct approach to visualize the problem effectively.

Contextual Notes

There is some confusion regarding the phrase "the half-space of positive x is fully occupied by a conductor," leading to questions about the nature of the space and how it should be represented in the sketch. Participants are grappling with the implications of this description on their diagrams.

blueyellow

Homework Statement



Two point charges +q and -q are placed respectively in positions (-a, 0, +a) and (-a, 0, -a) of a cartesian reference frame, with a being positive and known. The half space of positive x is fully occupied by a conductor. What are the positions and values of the mirror charges in this specific case?

The mirror charge for +q is: -q at (a, 0, +a)
The mirror charge for -q is: +q at (a, 0, -a)

DRAW A SKETCH
how do I do this considering that 'the half-space of positive x is fully occupied by a conductor'

The Attempt at a Solution



drawing a line at y=0, z=0 on the x-axis but only for positive x
but this is wrong
 
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What geometrical object describes the interface between the filled half-space and the unfilled half space?
 
all i could picture was this semi-infinite block filling the positive x space. but since you said the word 'interface' does it mean i can just sort of not see it as a block, and just see it as an infinite plane on the y-z plane? so i sketch the y-z plane?
 
Everything is at y = 0, so I suggest you draw/sketch the zx-plane .
 
"The half space of positive x is fully occupied by a conductor"
i can't understand this line?
which space?
 
blueyellow said:
all i could picture was this semi-infinite block filling the positive x space. but since you said the word 'interface' does it mean i can just sort of not see it as a block, and just see it as an infinite plane on the y-z plane? so i sketch the y-z plane?

You can sketch the yz plane and indicate that to the +x side is conductor, and to the -x side is empty space. If you want to get fancy, you can indicate a portion of the conductor region as a 'cutaway' section, implying that it extends indefinitely. Something like this:

https://www.physicsforums.com/attachment.php?attachmentid=37208&stc=1&d=1310746184
 

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