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(C) The electric field $\vec{E}$ due to an infinite positively charged sheet is uniform and directed away from the sheet. For the given dipole,the dip

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Potential energy of dipole is minimum and torque is zero.

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(C) The electric field $\vec{E}$ due to an infinite positively charged sheet is uniform and directed away from the sheet. For the given dipole,the dipole moment $\vec{p}$ is directed from $-q$ to $+q$,which is parallel to the electric field $\vec{E}$. The torque on the dipole is given by $\vec{	au} = \vec{p} 	imes \vec{E}$. Since $\vec{p}$ and $\vec{E}$ are parallel,the angle between them is $0^\circ$,so $\vec{	au} = pE \sin(0^\circ) = 0$. The potential energy of the dipole is $U = -\vec{p} \cdot \vec{E} = -pE \cos(0^\circ) = -pE$,which is the minimum possible value. Since the electric field is uniform,the force on $+q$ is $q\vec{E}$ (away from the sheet) and the force on $-q$ is $-q\vec{E}$ (towards the sheet). The net force on the dipole is $F_{net} = qE - qE = 0$.

An electric dipole is placed at a distance of $2 \ cm$ from an infinite plane sheet having positive charge density $\sigma_0$. Choose the correct option from the following.

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