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 × 10^{4} 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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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 × 10

^{4}N C^{−1}(Given)Torque acting on the dipole is given by the relation,

τ =

pEsinθ= 4 × 10

^{-9}× 5 × 10^{4}× sin 30= 20 × 10

^{-5}×= 10

^{-4}NmTherefore, 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