Consider a dipole p a fixed distance l above a grounded conducting plane. 1. Find the torque on the dipole. 2. If the dipole is free to rotate, what will be its stable equilibrium orientations?
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Torque on a Dipole. An electric dipole with dipole moment $\vec{p}$ is in a uniform electric field $\overrightarrow{\boldsymbol{k}} .$ (a) Find the orientations of the dipole for which the torque on the dipole is zero. (b) Which of the orientations in part (a) is stable, and which is unstable? (Hint: Consider a small displacement away from the equilibrium position and see what happens.) (c) Show that for the stable orientation in part $(b),$ the dipole's own electric field tends to oppose the external field.
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