Finding the position of an image charge

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Arman777
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Homework Statement
Finding the position of an image charge
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I am trying to use the Method of images for this configuration, But somehow I don't know where should I put the imaginary charge. I know the on the surface of the conductor the potential must be zero and the imaginary charge should be other side of the conductor but that's all I cay..
 

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Are you sure you need to find image charge for the problem? I mean there may not exist such configuration of image charge(it may,but I don't know). If you want the plates to be at 0 potential,you put -Q charge at some distance but this doesn't yield boundary condition on circle. You put another charge to make it 0 but this screws up potential at plates and ad infinitum subject to total constraint that sum of charges is -Q and I don't think that this will be converging!