An electric dipole of moment $\vec p$ is kept in a uniform electric field $\vec E$. Angle between $\vec p$ and $\vec E$ is $30^o$. Calculate work done by field when angle is increased to $60^o.$
Medium
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$ \mathrm{W}_{\text {field }} =\mathrm{PE}\left(\cos \theta_{2}-\cos \theta_{1}\right)$
$=\mathrm{PE}(\cos 60-\cos 30) $
$=\operatorname{PE}\left(\frac{1}{2}-\frac{\sqrt{3}}{2}\right) $
$=\frac{\mathrm{PE}}{2}(1-\sqrt{3}) $
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