Self Potential energy and Electric dipole

Derive equation of potential energy of an electric dipole in a uniform electric field .

Derive an expression for the potential energy of an electric dipole placed in a uniform electric field.

Derive the expression for the potential energy of an electric dipole of dipole moment vec(p) placed in a uniform electric field vec(E ) .

The potential energy of an electric dipole in a uniform electric filed is U .The magnitude of the torque acting on the dipole due to the field is N .Then

The graph in figure-shows the potential energy of an electric dipole that oscillates between pm 60^(@) . What is the kinetic energy of dipole when it is aligned with the field? [1muJ]