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An electric dipole of moment $\vec{p}$ is lying along a uniform electric field $\vec{E}$. The work done in rotating the dipole by rotating the dipole by 90 degrees:
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Verified Answer
The correct answer is:
$p E$
Work done
$$
\begin{aligned}
W & =\int_0^\theta P E \sin \theta d \theta \\
& =P E(1-\cos \theta) \\
\therefore \quad \text { Since } \theta & =90^{\circ} \\
W & =P E(1-\cos 90) \\
Q & =P E
\end{aligned}
$$
$$
\begin{aligned}
W & =\int_0^\theta P E \sin \theta d \theta \\
& =P E(1-\cos \theta) \\
\therefore \quad \text { Since } \theta & =90^{\circ} \\
W & =P E(1-\cos 90) \\
Q & =P E
\end{aligned}
$$
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