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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