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in JEE by kratos

A metal sphere on a long string is placed between the plates of a capacitor, as shown in Fig.. What is the nature of the oscillations of this pendulum if the sphere and the capacitor plates are charged? The oscillations of the pendulum take place in the plane perpendicular to the plates.

1 Answer

+6 votes
by kratos
 
Best answer

Answer: The position of equilibrium of the sphere is changed and the ** of oscillation is decreased.

Explanation:

If the mass of the sphere is m, its charge +e, and the field intensity in the capacitor E, then, when the sphere is in equilibrium, the string makes an angle α to the vertical (Fig.) such that

The "acceleration for a free fall" of the sphere is determined from the equation for Newton'* second law:

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