An electric dipole of moment $p$ is placed in an electric field of intensity $E$. The dipole acquires a position such that the axis of the dipole makes an angle $ heta$ with the direction of the field. Assuming that the potential energy of the dipole to be zero when $ heta=90^{\circ}$, the…

Question

An electric dipole of moment $p$ is placed in an electric field of intensity $E$. The dipole acquires a position such that the axis of the dipole makes an angle $	heta$ with the direction of the field. Assuming that the potential energy of the dipole to be zero when $	heta=90^{\circ}$, the torque and the potential energy of the dipole will respectively be

Aicharya · Accepted Answer

Here, Torque $	au=p E \sin 	heta$ Potential energy of the dipole $\begin{aligned} U & =-\int 	au d 	heta \ & =-\int_{\pi / 2}^0 p E \sin 	heta d 	heta=p E[\cos 	heta-0] \ & =-p E \cos 	heta \end{aligned}$

An electric dipole of moment $p$ is placed in an electric field of intensity $E$. The dipole acquires a…

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