Two fixed, identical conducting plates (α and β), each of surface area S are charged to -Q and q, respectively, where, Q>q>0. A third identical plate (γ), free to move is located on the other side of the plate with charge q at a distance d (figure). The third plate is released and collides with the plate β. Assume the collision is elastic and the time of collision is sufficient to redistribute charge amongst β and γ.
(a) Find the electric field acting on the plate γ before the collision.
(b) Find the charges on β and γ after the collision.
(c) Find the velocity of the plate γ after the collision and at a distance d from the plate β.
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