If a dipole of dipole moment vec{p} is placed | vedclass

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Question

(B) The dipole moment of the dipole is $\vec{p}$ and the uniform electric field is $\vec{E}$.When an electric dipole is placed in a uniform electric f

Vedclass · Accepted Answer

$\vec{	au} = \vec{p} 	imes \vec{E}$

Vedclass · Answer

(B) The dipole moment of the dipole is $\vec{p}$ and the uniform electric field is $\vec{E}$.When an electric dipole is placed in a uniform electric field,each charge $q$ experiences a force $\vec{F} = q\vec{E}$ and $\vec{F} = -q\vec{E}$.These two equal and opposite forces form a couple,which exerts a torque on the dipole.The magnitude of the torque is given by the product of the magnitude of one of the forces and the perpendicular distance between them.$	au = F 	imes (d \sin 	heta) = (qE) 	imes (a \sin 	heta) = (qa) E \sin 	heta$.Since the dipole moment $p = qa$,we have $	au = pE \sin 	heta$.In vector form,this is expressed as $\vec{	au} = \vec{p} 	imes \vec{E}$.

If a dipole of dipole moment $\vec{p}$ is placed in a uniform electric field $\vec{E}$,then the torque acting on it is given by:

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