A dipole with dipole moment p is rotated by a | vedclass

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Question

(A) The electric field exerts a torque on the dipole given by $	au = pE \sin 	heta$.The work done $W$ in rotating the dipole from an initial angle $

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$pE(1 - \cos 	heta)$

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(A) The electric field exerts a torque on the dipole given by $	au = pE \sin 	heta$.The work done $W$ in rotating the dipole from an initial angle $	heta_1 = 0^\circ$ (equilibrium position) to a final angle $	heta_2 = 	heta$ is given by the integral of the torque with respect to the angle:$W = \int_{0}^{	heta} 	au \, d	heta$$W = \int_{0}^{	heta} pE \sin 	heta \, d	heta$$W = pE [-\cos 	heta]_{0}^{	heta}$$W = -pE (\cos 	heta - \cos 0^\circ)$Since $\cos 0^\circ = 1$,we get:$W = -pE (\cos 	heta - 1) = pE(1 - \cos 	heta)$.

$A$ dipole with dipole moment $p$ is rotated by an angle $\theta$ in an electric field $E$ from the direction of the electric field. The work done on the dipole is ......

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