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