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An uncharged parallel-plate capacitor with spacing d is horizontal. A small bead with mass m and...

An uncharged parallel-plate capacitor with spacing d is horizontal. A small bead with mass m and positive charge q is shot straight up from the bottom plate with speed v0. It reaches maximum height ymax before falling back. Then the capacitor is charged with the bottom plate negative.

Find an expression for the capacitor voltage ?Vc for which the bead's maximum height is reduced to ymax/2

Ignore air resistance.

Express your answer in terms of the variables m, d, q, and appropriate constants.

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Answer #2

V_c = 2 g d

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