An electric dipole of dipole moment is placed in a uniform electric field of in such a way that the dipole moment is along the electric field. [2023]

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Solution

Q.
An electric dipole of dipole moment is $6.0 \times 10^{- 6} Cm$ placed in a uniform electric field of $1.5 \times 10^{3} {NC}^{- 1}$ in such a way that the dipole moment is along the electric field. The work done in rotating the dipole by $180 °$ in this field will be _______ mJ. [2023]

Ans.
(18)

$The work done in rotating the electric dipole = Δ U$

$= U_{f} - U_{i}$

$= (- p E \cos 180 °) - (- p E \cos 0 °)$

$= p E + p E = 2 p E$

$= 2 \times 6 \times 10^{- 6} \times 1.5 \times 10^{3} = 18 mJ$

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