# Conducting shells are awesome!

Two concentric conducting shells $$A$$ and $$B$$ have radii $$a$$ and $$b,$$ respectively $$(b>a).$$ Initially, the charges on the spheres are such that they have an equal electric potential $$V.$$

As a thought experiment, what would be the electric potential of $$B$$, if we added just enough charge on $$A$$ $$($$without disturbing the charge on $$B)$$ to make the electric potential of $$A$$ zero?

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