# Electric pendulum

As shown above, a charged particle is hanging on the top of two parallel plates. A voltage of $$V$$ generates a uniform electric field inside the plates. If we lift up the charged particle to the point $$x$$ and then let it go, the charged particle oscillates between $$x$$ and $$z$$ with $$y$$ the center point of the oscillation. Which of the following statements is correct? (Ignore gravity, air resistance and the generation of electromagnetic waves.)

a) The electric potential at the point $$x$$ is greater than that at the point $$y.$$

b) The period of the oscillation decreases as the voltage $$V$$ increases.

c) The magnitude of the electric force acting on the charged particle at the point $$x$$ is greater than that at the point $$y.$$

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