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A molecule with a dipole moment p is placed in an electric field of strength E. Initially the dipole is aligned parallel to the field. If the dipole is to be rotated to be anti-parallel to the field

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प्रश्न

A molecule with a dipole moment p is placed in an electric field of strength E. Initially the dipole is aligned parallel to the field. If the dipole is to be rotated to be anti-parallel to the field, find the work required to be done by an external agent. 

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उत्तर

When the dipole is aligned parallel to the field, θ0 = 0° 

When the dipole is aligned antiparallel to the field, θ = 180°

∴ Work is done by an external torque, 

W = pE [cos θ0 - cos θ]

= pE[cos 0 - cos 180]

= pE [1 - (-1)] = 2 pE

Work required to be done by an external agent is 2 pE.

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Electrical Energy of Two Point Charges and of a Dipole in an Electrostatic Field
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अध्याय 8: Electrostatics - Short Answer I

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