How do I draw the diagram of the mirror charge

AI Thread Summary
To draw the diagram of the mirror charges for point charges +q and -q in the presence of a conductor, one should visualize the yz-plane as the interface between the conductor and the empty space. The mirror charge for +q is represented as -q at (a, 0, +a), while the mirror charge for -q is +q at (a, 0, -a). It is important to indicate that the positive x side is occupied by the conductor, while the negative x side is empty. A cutaway section can be used to illustrate the infinite nature of the conductor. This approach clarifies the spatial relationship between the charges and the conductor.
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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