A dipole with a dipole moment of magnitude p is in stable equilibrium in an electrostatic field of magnitude E. Find the work done in rotating this dipole to its position of unstable equilibrium.

2pE

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4pE

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9pE

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Solution

The correct option is A 2pE
For stable equilibrium
The angle between $p$ and $E θ_{1} = 0$
For unstable equilibrium $= 180 °$
Work done
$W = (p E cos θ_{1} - cos θ_{2}) W = p E (cos 0 ° - cos 180 °) W = 2 p E$

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