Question

An electric dipole with dipole moment 4 109 c m is aligned at 30 with the direction of a uniform electric field of magnitude 5 104 n c1. Calculate the magnitude of the torque acting on the dipole.

Answer 1

The magnitude of the dipole moment is 10^-4 N.m

Explanation:

Electric dipole moment "p" = 4 × 10^−9 C m

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

Electric field, E = 5 × 10^4 N C−1

Torque acting on the dipole is given by the relation, τ = pE sinθ

= 4×10^-9×5×10^4×sin (30)

= 20×10^-5×1/2

= 10^-4 N.m

Hence the magnitude of the dipole moment is 10^-4 N.m

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Answer 2

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.