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In the figure shown, an electric dipole ...

In the figure shown, an electric dipole is placed at a distance `x` from an infinitely long rod of linear charge density `lambda`.
(`a`) Find the net force acting on the dipole ?
(`b`) What is the work done in rotating the dipole through `180^(@)` ?
(`c`) If the dipole is slightly rotated about its equilibrium position, find the time period of oscillation. Assume that the dipole is linearly restrained.

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