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An electric dipole with dipole moment 4 × 10^−9 cm 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. - Physics

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

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

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

Electric field, E = 5 × 104 N C−1

Torque acting on the dipole is given by the relation,

τ = pE sinθ

`=4xx10^-9xx5xx10^4xxsin30`

`=20xx10^-5xx1/2`

`=10^-4 Nm`

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

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APPEARS IN

NCERT Class 12 Physics Textbook
Chapter 1 Electric Charge and Fields
Q 10 | Page 46
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