An electric dipole is placed in an electric f | vedclass

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(D) The electric field $E$ produced by a point charge is non-uniform,as it varies with distance $r$ $(E \propto 1/r^2)$.The force on a dipole in a non

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The torque on the dipole due to the electric field may be zero.

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(D) The electric field $E$ produced by a point charge is non-uniform,as it varies with distance $r$ $(E \propto 1/r^2)$.The force on a dipole in a non-uniform electric field is given by $\vec{F} = (\vec{p} \cdot 
abla) \vec{E}$. Since the field is non-uniform,the net force on the dipole is generally non-zero.The torque on a dipole is given by $\vec{	au} = \vec{p} 	imes \vec{E}$.If the dipole moment $\vec{p}$ is parallel or anti-parallel to the electric field $\vec{E}$,the angle $	heta$ between them is $0^\circ$ or $180^\circ$. Since $	au = pE \sin 	heta$,in these specific orientations,$\sin(0^\circ) = 0$ or $\sin(180^\circ) = 0$,making the torque zero.Therefore,the torque on the dipole may be zero.

An electric dipole is placed in an electric field generated by a point charge.

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