Electric dipole in a uniform field

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Concepts tested here

  • Torque and potential energy of a dipole

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2012 AIPMT-PRE 1 question

  1. 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 $\theta$ with the direction of the field. Assuming that the potential energy of the dipole to be zero when $\theta = 90^\circ$, the torque and the potential energy of the dipole will respectively be