An electric dipole of dipole moment vec P is lying along a uniform electric field vec E . work done

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1. Electric Charges and Fields

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An electric dipole of dipole moment $\vec P$ is lying along a uniform electric field $\vec E$ . The work done in rotating the dipole by $90^o$ is

A

$2pE$

B

$pE$

C

$\sqrt 2\, pE$

D

$\frac{{pE}}{2}$

Solution

$\mathrm{U}=-\mathrm{pE} \cos \theta$

$\mathrm{U}_{\mathrm{i}}=-\mathrm{pE} \quad \mathrm{U}_{\mathrm{f}}=0 \quad \mathrm{W}=\Delta \mathrm{U} \Rightarrow \mathrm{W}=\mathrm{pE}$

Standard 12

Physics

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