# Colliding charged plates !

Two fixed, identical conducting plates $$α$$ &$$β$$ , 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 $$d$$ . 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 $$β$$ & $$γ$$ .

Find the velocity of the plate $$γ$$ after the collision and at a distance $$d$$ from the plate $$β$$.

If $$v=(Q-\frac{q}{x})(\frac{d}{m \epsilon_0 S})^{\frac{y}{z}}$$

then, find $$(x+y+z)$$.

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