In a uniform electric field E, the work done in rotating the electric dipole of dipole moment P from $-45^{\circ}$ to $45^{\circ}$ with respect to the field direction is
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Logic Tip: The potential energy of a dipole depends strictly on $\cos\theta$. Any rotation between two symmetric angles (like $-\theta$ to $+\theta$) results in the dipole returning to an identical potential energy state, meaning the net work done by the external agent over the complete path is exactly zero.