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A dipole is formed by two point charge -...

A dipole is formed by two point charge -q and +q, each of mass m, and both the point charge are connected by a rod of length `l` and mass m. This dipole is placed in uniform electric field `vec(E)` If the dipole is disturbed by a small angle `theta` from stable equilibrium position, prove that its motion will be almost SHM. also find its time period.

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To solve the problem step by step, we will analyze the behavior of a dipole in a uniform electric field when it is disturbed from its equilibrium position. ### Step 1: Understanding the Dipole in an Electric Field A dipole consists of two equal and opposite charges, -q and +q, separated by a distance `l`. The dipole moment \( \vec{P} \) is given by: \[ \vec{P} = q \cdot \vec{l} \] where \( \vec{l} \) is a vector pointing from the negative charge to the positive charge. ...
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