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My question is simply an extension of this SE post; I don't understand why $q'+q''=0$ (both charges of hypothetical construct) for the sphere to be neutral.

I'm trying to find a parallel between the following two cases:

  1. Point charge ($q$), and a conducting sphere.

  2. Point charge ($q$), an image charge $q'$ and another charge $q''$ (to get the desired potential on the spherical surface of radius $R$, centered at $q''$

Please help me understand this better. Thank you!

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