When is the torque on an electric dipole in a | vedclass

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Question

(B) The torque $\vec{	au}$ on an electric dipole in an external electric field $\vec{E}$ is given by the formula: $\vec{	au} = \vec{p} 	imes \vec{E

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When the dipole is perpendicular to the field.

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(B) The torque $\vec{	au}$ on an electric dipole in an external electric field $\vec{E}$ is given by the formula: $\vec{	au} = \vec{p} 	imes \vec{E}$.In terms of magnitude,this is expressed as: $	au = pE \sin(	heta)$,where $	heta$ is the angle between the dipole moment vector $\vec{p}$ and the electric field vector $\vec{E}$.For the torque to be maximum,the value of $\sin(	heta)$ must be maximum,which is $1$.This occurs when $	heta = 90^{\circ}$.Therefore,the torque is maximum when the electric dipole is placed perpendicular to the electric field.

When is the torque on an electric dipole in an electric field maximum?

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