An electric dipole of dipole moment P and moment of inertia I is placed with $\vec{p}$ parallel to a uniform electric field $\vec{E}$ . It is rotated slightly and released. The time period of small oscillation is:
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Question

An electric dipole of dipole moment P and moment of inertia I is placed with $\vec{p}$ parallel to a uniform electric field $\vec{E}$ . It is rotated slightly and released. The time period of small oscillation is:

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G1 Physics · Accepted Answer

For a small angular displacement θ, torque τ=-PE sinθ≈-PEθ. Hence Iθ¨=-PEθ, so ω²=PE/I and T=2π√(I/PE).

An electric dipole of dipole moment P and moment of inertia I is placed with p ⃗ \vec{p} p ​ parallel to a uniform electric field E ⃗ \vec{E} E . It is rotated slightly and released. The time period of small oscillation is:

An electric dipole of dipole moment P and moment of inertia I is placed with p ⃗ \vec{p} p parallel to a uniform electric field E ⃗ \vec{E} E . It is rotated slightly and released. The time period of small oscillation is: