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An electric dipole with dipole moment 4 × 10-9 C m is aligned at 30° with the direction of a uniform electric field of magnitude 5 × 104 N C-1. Calculate the magnitude of the torque acting on the dipole.

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An electric dipole with dipole moment 4 × 10-9 C m is aligned at 30° with the direction of a uniform electric field of magnitude 5 × 104 N C-1. Calculate the magnitude of the torque acting on the dipole.

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  1. Solution:

    Answer

    Electric dipole moment, p = 4 × 10−9 C m (Given)

    Angle made by p with a uniform electric field, θ = 30° (Given)

    Electric field, E = 5 × 104 N C−1 (Given)

    Torque acting on the dipole is given by the relation,

    τ = pE sinθ

    = 4 × 10-9 × 5 × 104 × sin 30

    = 20 × 10-5 × 1 half

    = 10-4 Nm

    Therefore, the magnitude of the torque acting on the dipole is 10−4 N m.

    Check the complete chapter with solutions.

    NCERT Solutions for 12th Class Physics: Chapter 1-Electric Charges And Fields

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