Question

An electric dipole with dipole moment p and
moment of inertia / is released from rest in a
uniform external electric field E with angle
between ñ and Ē equal to . The angular
2
velocity of the dipole when 7 and 3 become
parallel to each other is
2pE​

Answer 1

Concept

The separation of positive and negative electrical charges inside a system, or the system's overall polarity, is measured by the electric dipole moment. The coulomb-meter is the SI unit for the electric dipole moment. Another unit of measurement in atomic physics and chemistry is the debye.

Explanation

• A torque called p Esin causes the dipole to pull itself back toward the field direction.
• As a result, when the dipole is released (rotated), it oscillates along an axis that passes through its center of mass and is perpendicular to the field. The equation of motion is if I is the dipole's moment of inertia about the axis of rotation.

-pEsinФ

• As we know that, For small amplitude

sinФ ≈ 0

This is a S.H.M., whose period of oscillation is $T = \frac{2}{w} = 2 \pi (\frac{1}{pE} )$

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