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    Electrostatics and Oscillations: Oscillations in a capacitor

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    A square parallel plate capacitor with vertical plates of area A and distance d, charged with a constant charge Q and is completely filled with a dielectric material the same dimension as the gap between the plates, with dielectric constant k and mass m. Assuming the dielectric is a solid block of material that can move inside the capacitor with no friction, what would be the equilibrium condition in the presence of gravitational field? What would be the period of small oscillations around this equilibrium point?

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    Solution Summary

    The dielectric slab is placed between the two vertical plates of a parallel plate capacitor. The equilibrium position of the slab and the period of small oscillations is determined.