which orientation of an electric dipole in a uniform electric field corresponds to stable equilibrium?

The following orientation will give the most stable equilibrium.

This is the most stable configuration of an electric dipole in a uniform electric field. The length of the dipole makes 00 with the electric field.

The potential energy of the dipole at this position is,

U = -p.E = -pE cos0 = -pE

Which is the minimum potential energy (stable equilibrium) of an electric dipole.

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 when the angle Theta between dipole moment vector p and electric field vector E is zero, then potential energy of dipole,

U= -pEcos0 = (-pE) and torque= pEsin0=0 ;which means that the electric dipole is in stable equilibrium as there is no torque on it.

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