An electric dipole with dipole moment 4×10 to the power -9cm is aligned at 30 degree with the direction of a uniform electric field of magnitude 5×10 to the power 4N/C. Calculate the magnitude of the torque acting on the dipole.
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Answer: 10√3×10-5
Explanation: Put the value of P, E and theta in the formula of torque.
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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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